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   13: <title>Session Two: Statistics/Chart (Behrouz)</title>
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  110: 
  111: <body bgcolor=#FFFFFF link=blue vlink=purple class="Normal" lang=EN-US><div class=Section1> 
  112: 
  113: <h2>Session Two: Statistics/Chart (Behrouz)</h2>
  114: 
  115: <p><span style='layout-grid-mode:line'>In LON-CAPA, we are involved with two kinds 
  116: 
  117:   of large data sets: </span></p>
  118: 
  119: <p> <span style='layout-grid-mode:line'>1)<span
  120: 
  121: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span
  122: 
  123: style='layout-grid-mode:line'>Educational resources such as </span>web pages, 
  124: 
  125:   demonstrations, simulations, and individualized problems designed for use on 
  126: 
  127:   homework assignments, quizzes, and examinations<span style='layout-grid-mode:
  128: 
  129: line'>; </span></p>
  130: 
  131: <p> <span style='layout-grid-mode:line'>2)<span
  132: 
  133: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span
  134: 
  135: style='layout-grid-mode:line'>Information about users who create, modify, assess, 
  136: 
  137:   or use these resources. </span></p>
  138: 
  139: <p><span style='layout-grid-mode:line'>Usually, instructors/ course coordinators 
  140: 
  141:   wish to assess the studentsÕ educational situation or evaluate the problems 
  142: 
  143:   have bee presented in the course, after the students used the educational materials. 
  144: 
  145:   There are two main modules in LON_CAPA that provide the statistical information 
  146: 
  147:   for instructors/ course-coordinators: <i>lonchart.pm </i></span><span style='layout-grid-mode:line'>and 
  148: 
  149:   <i>lonstatistics.pm</i></span><span
  150: 
  151: style='layout-grid-mode:line'>. When an instructorÕs access is authorized, he/she 
  152: 
  153:   can find useful reports about the course, regarding maps, problems included 
  154: 
  155:   in each map, and the students who tried to solve the problems. When an instructor 
  156: 
  157:   selects a course, he/she has two buttons in remote control to obtain the statistical 
  158: 
  159:   information: Ò<i>chart</i></span><span style='layout-grid-mode:
  160: 
  161: line'>Ó or Ò<i>stat</i></span><span style='layout-grid-mode:line'>Ó button.</span></p>
  162: 
  163: <h3 style='line-height:150%'><a name="_Toc421867139"><span style='layout-grid-mode:
  164: 
  165: line'>lonchart.pm</span></a></h3>
  166: 
  167: <p><span style='font-size:11.0pt;layout-grid-mode:line'>Ò<i>chart</i></span><span
  168: 
  169: style='font-size:11.0pt;layout-grid-mode:line'>Ó button in remote control calls 
  170: 
  171:   lonchart.pm, which provides a quick review of students tries on different problems 
  172: 
  173:   of a course for an instructor.&nbsp; The instructor may monitor the number of 
  174: 
  175:   tries of every student in each map and its problems.<span style='color:red'> 
  176: 
  177:   </span>The number of solved problems in a map is shown in the end of each map 
  178: 
  179:   with a different color (green). The overall solved problems and total number 
  180: 
  181:   of problems in the map can be seen at the end of line according to every individual 
  182: 
  183:   student in a different color (blue). A sample of chart is shown in <b>Fig. 3.2.1</b></span></p>
  184: 
  185: <p><span style='font-size:9.0pt;border:solid windowtext .5pt;
  186: 
  187: padding:0in'>xxxxxxx1:msu ! 001 ! 1*11*121 <span style='color:green'>8</span> 
  188: 
  189:   1231.31423212 <span style='color:green'>12 </span>&nbsp;2111211284.131 <span style='color:green'>13</span> 
  190: 
  191:   É&nbsp; 231113112221 <span style='color:green'>12</span>&nbsp; <span style='color:navy'>162 
  192: 
  193:   / 188<br>
  194: 
  195:   </span>xxxxxxx2:msu ! 003 ! 12113162 <span style='color:green'>8</span> 1+11&nbsp; 
  196: 
  197:   1&nbsp; 21x111<span style='color:green'>10</span> 11211322246132 <span
  198: 
  199: style='color:green'>14</span> É ############<span style='color:green'>&nbsp; &nbsp;&nbsp;0&nbsp; 
  200: 
  201:   </span><span
  202: 
  203: style='color:navy'>149 / 188</span><span style='color:green'> <br>
  204: 
  205:   <br>
  206: 
  207:   </span></span></p>
  208: 
  209: <div style='border:solid windowtext .5pt;padding:1.0pt 0in 1.0pt 1.0pt'> 
  210: 
  211:   <p style='border:none;padding:0in;'>1..9: correct by student in 1..9 tries </p>
  212: 
  213:   <p style='border:none;padding:0in;'>*: correct by student in more than 9 tries 
  214: 
  215:   </p>
  216: 
  217:   <p style='border:none;padding:0in;'>+: correct by override </p>
  218: 
  219:   <p style='border:none;padding:0in;'>-: incorrect by override </p>
  220: 
  221:   <p style='border:none;padding:0in;'>.: incorrect attempted </p>
  222: 
  223:   <p style='border:none;padding:0in;'>#: ungraded attempted </p>
  224: 
  225:   <p style='border:none;padding:0in;'>Ô Ô: not attempted </p>
  226: 
  227:   <p style='border:none;padding:0in;'>x: excused</p>
  228: 
  229: </div>
  230: 
  231: <p><span style='font-size:14.0pt'><b>Fig. 3.2.1</b></span><span
  232: 
  233: style='font-size:14.0pt'> Chart of map, problems, and studentsÕ tries, and a quick 
  234: 
  235:   statistics of solved problems</span></p>
  236: 
  237: <p><span style='layout-grid-mode:line'>1. When an instructor loads the chart in 
  238: 
  239:   his/her machine once, its data is cached in his/her local machine. If he/she 
  240: 
  241:   runs the chart again, the course chart is loaded very quickly from the cache.</span></p>
  242: 
  243: <p><span style='layout-grid-mode:line'>2. An instructor can sort the chart according 
  244: 
  245:   to user name, last name, as well as, the section which student belongs to.</span></p>
  246: 
  247: <div style='border:solid windowtext .5pt;padding:1.0pt 4.0pt 1.0pt 4.0pt'> 
  248: 
  249:   <p align=center style='text-align:center;
  250: 
  251: border:none;padding:0in;'><span style='font-size:8.0pt;font-family:Arial;
  252: 
  253: display:none'>Top of Form</span></p>
  254: 
  255: </div>
  256: 
  257: <div style='border:solid windowtext .5pt;padding:1.0pt 4.0pt 0in 4.0pt'> 
  258: 
  259:   <p align=center style='
  260: 
  261: text-align:center;
  262: 
  263: border:none;padding:
  264: 
  265: 0in;'><b>Sort by: &nbsp; </b><span
  266: 
  267: style='font-weight:normal'>&nbsp;&nbsp;&nbsp; <img width=53 height=23
  268: 
  269: src="Session%20Tw2_files/image003.png" v:shapes="_x0000_i1025"> &nbsp;&nbsp;&nbsp; 
  270: 
  271:     <img width=51 height=23
  272: 
  273: src="Session%20Tw2_files/image006.png" v:shapes="_x0000_i1026"> &nbsp;&nbsp;&nbsp; 
  274: 
  275:     <img width=40 height=23
  276: 
  277: src="Session%20Tw2_files/image009.png" v:shapes="_x0000_i1027"> <br>
  278: 
  279:     <br>
  280: 
  281:     </span></p>
  282: 
  283: </div>
  284: 
  285: <p>3. The instructor is able to select the ÒexpiredÓ students (who dropped the 
  286: 
  287:   course earlier) or ÒactiveÓ students or ÒanyÓ (all the) students.</p>
  288: 
  289: <div style='border:solid windowtext .5pt;padding:1.0pt 4.0pt 1.0pt 0in'> 
  290: 
  291:   <p align=center style='
  292: 
  293: text-align:center;
  294: 
  295: border:none;padding:0in;
  296: 
  297: '><br>
  298: 
  299:     <b>Student Status: &nbsp; </b><span style='font-weight:normal'> <img width=66 height=18
  300: 
  301: src="Session%20Tw2_files/image012.png" v:shapes="_x0000_i1028"> &nbsp;&nbsp;&nbsp; 
  302: 
  303:     <img width=77 height=23
  304: 
  305: src="Session%20Tw2_files/image015.png" v:shapes="_x0000_i1029"> </span></p>
  306: 
  307: </div>
  308: 
  309: <div style='border:none;border-top:solid windowtext .75pt;padding:1.0pt 0in 0in 0in'> 
  310: 
  311:   <p align=center style='text-align:center;border:none;
  312: 
  313: padding:0in;'><span
  314: 
  315: style='font-size:8.0pt;font-family:Arial;display:none'>Bottom of Form</span></p>
  316: 
  317: </div>
  318: 
  319: <h3 style='line-height:200%'><a name="_Toc421867140"><span style='layout-grid-mode:
  320: 
  321: line'>lonstatistics.pm</span></a></h3>
  322: 
  323: <p><span style='layout-grid-mode:line'>In ÒstatÓ button of Òremote controlÓ, a 
  324: 
  325:   menu with three options is provided for instructor: </span></p>
  326: 
  327: <p> <span style='layout-grid-mode:line'>1)<span
  328: 
  329: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span
  330: 
  331: style='layout-grid-mode:line'>Problem stats</span></p>
  332: 
  333: <p> <span style='layout-grid-mode:line'>2)<span
  334: 
  335: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span
  336: 
  337: style='layout-grid-mode:line'>Problem Analysis</span></p>
  338: 
  339: <p> <span style='font-size:11.0pt;
  340: 
  341: layout-grid-mode:line'>3)<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; 
  342: 
  343:   </span></span> <span style='layout-grid-mode:line'>Student Assessment</span></p>
  344: 
  345: <h4 style='line-height:150%'><span style='font-size:6.0pt;font-family:Arial;
  346: 
  347: layout-grid-mode:line;font-weight:normal'> &nbsp; </span></h4>
  348: 
  349: <h4><span style='font-size:12.0pt;font-family:Arial;layout-grid-mode:line'> &nbsp; 
  350: 
  351:   </span></h4>
  352: 
  353: <h4><span style='font-size:12.0pt;font-family:Arial;layout-grid-mode:line;
  354: 
  355: font-weight:normal'>Problem Stats</span></h4>
  356: 
  357: <p><span style='layout-grid-mode:line'>Ò<i>Problem Stats</i></span><span
  358: 
  359: style='layout-grid-mode:line'>Ó button provides a table<a href="#_ftn1" name="_ftnref1" title=""><span class=MsoFootnoteReference> 
  360: 
  361:   [1] </span></a> which includes statistical information about every problem, 
  362: 
  363:   as you see in <b>Fig. 3.2.2</b></span><span style='layout-grid-mode:line'>. 
  364: 
  365:   The function ExtractStudentData in lonstatitics Perl Module fetches all the 
  366: 
  367:   data from a particular student<a name="_Hlt9981185"></a> .db file into a big 
  368: 
  369:   hash in local machine. It uses dump function, which communicates via lonc/lond 
  370: 
  371:   to get the student data from student repository (data server) and then all versions 
  372: 
  373:   of student submissions computed according to every problem. The results are 
  374: 
  375:   stored in an array in the memory.&nbsp; Before computing the studentsÕ tries 
  376: 
  377:   in a particular problem, the different parts of problem are distinguished by 
  378: 
  379:   considering the meta-data, which is provided for every problem. </span></p>
  380: 
  381: <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/mmp\/kap1\/calckap1\.sequence\0022 \\t \0022_blank\0022"'><span
  382: 
  383: class=MsoHyperlink><span style='color:blue'>Homework Set 1</span></span></span> 
  384: 
  385: </p>
  386: 
  387: <table border=1 cellspacing=0 cellpadding=0>
  388: 
  389:   <tr> 
  390: 
  391:     <td width=21 class="Normal"> <p align=center style='text-align:center'><b>P#</b></p></td>
  392: 
  393:     <td width=72 class="Normal"> <p align=center style='text-align:center'><b> 
  394: 
  395:         <img width=94 height=23
  396: 
  397:   src="Session%20Tw2_files/image018.png" v:shapes="_x0000_i1030"> </b></p></td>
  398: 
  399:     <td width=37 class="Normal"> <p align=center style='text-align:center'><b> 
  400: 
  401:         <img width=41 height=23
  402: 
  403:   src="Session%20Tw2_files/image021.png" v:shapes="_x0000_i1031"> </b></p></td>
  404: 
  405:     <td width=29 class="Normal"> <p align=center style='text-align:center'><b> 
  406: 
  407:         <img width=31 height=23
  408: 
  409:   src="Session%20Tw2_files/image024.png" v:shapes="_x0000_i1032"> </b></p></td>
  410: 
  411:     <td width=26 class="Normal"> <p align=center style='text-align:center'><b> 
  412: 
  413:         <img width=28 height=23
  414: 
  415:   src="Session%20Tw2_files/image027.png" v:shapes="_x0000_i1033"> </b></p></td>
  416: 
  417:     <td width=30 class="Normal"> <p align=center style='text-align:center'><b> 
  418: 
  419:         <img width=32 height=23
  420: 
  421:   src="Session%20Tw2_files/image030.png" v:shapes="_x0000_i1034"> </b></p></td>
  422: 
  423:     <td width=31 class="Normal"> <p align=center style='text-align:center'><b> 
  424: 
  425:         <img width=33 height=23
  426: 
  427:   src="Session%20Tw2_files/image033.png" v:shapes="_x0000_i1035"> </b></p></td>
  428: 
  429:     <td width=29 class="Normal"> <p align=center style='text-align:center'><b> 
  430: 
  431:         <img width=31 height=23
  432: 
  433:   src="Session%20Tw2_files/image036.png" v:shapes="_x0000_i1036"> </b></p></td>
  434: 
  435:     <td width=36 class="Normal"> <p align=center style='text-align:center'><b> 
  436: 
  437:         <img width=40 height=23
  438: 
  439:   src="Session%20Tw2_files/image039.png" v:shapes="_x0000_i1037"> </b></p></td>
  440: 
  441:     <td width=32 class="Normal"> <p align=center style='text-align:center'><b> 
  442: 
  443:         <img width=35 height=23
  444: 
  445:   src="Session%20Tw2_files/image042.png" v:shapes="_x0000_i1038"> </b></p></td>
  446: 
  447:     <td width=26 class="Normal"> <p align=center style='text-align:center'><b> 
  448: 
  449:         <img width=28 height=23
  450: 
  451:   src="Session%20Tw2_files/image045.png" v:shapes="_x0000_i1039"> </b></p></td>
  452: 
  453:     <td width=33 class="Normal"> <p align=center style='text-align:center'><b> 
  454: 
  455:         <img width=36 height=23
  456: 
  457:   src="Session%20Tw2_files/image048.png" v:shapes="_x0000_i1040"> </b></p></td>
  458: 
  459:     <td width=35 class="Normal"> <p align=center style='text-align:center'><b> 
  460: 
  461:         <img width=38 height=23
  462: 
  463:   src="Session%20Tw2_files/image051.png" v:shapes="_x0000_i1041"> </b></p></td>
  464: 
  465:     <td width=37 class="Normal"> <p align=center style='text-align:center'><b> 
  466: 
  467:         <img width=41 height=23
  468: 
  469:   src="Session%20Tw2_files/image054.png" v:shapes="_x0000_i1042"> </b></p></td>
  470: 
  471:   </tr>
  472: 
  473:   <tr> 
  474: 
  475:     <td width=21 class="Normal"> <p>1</p></td>
  476: 
  477:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/01_Math_1\/msu-prob11\.problem\0022 \\t \0022_blank\0022"'><span
  478: 
  479:   class=MsoHyperlink><span style='color:blue'>Calculator Skills</span></span></span></span></p></td>
  480: 
  481:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  482: 
  483:     <td width=29 bgcolor="white" class="Normal"> <p>267</p></td>
  484: 
  485:     <td width=26 bgcolor="white" class="Normal"> <p>3</p></td>
  486: 
  487:     <td width=30 bgcolor="white" class="Normal"> <p>1.04</p></td>
  488: 
  489:     <td width=31 bgcolor="white" class="Normal"> <p>256</p></td>
  490: 
  491:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  492: 
  493:     <td width=36 bgcolor="white" class="Normal"> <p>0.0</p></td>
  494: 
  495:     <td width=32 bgcolor="white" class="Normal"> <p>0.04</p></td>
  496: 
  497:     <td width=26 bgcolor="white" class="Normal"> <p>0.2</p></td>
  498: 
  499:     <td width=33 bgcolor="white" class="Normal"> <p>5.7</p></td>
  500: 
  501:     <td width=35 bgcolor="white" class="Normal"> <p>0.03</p></td>
  502: 
  503:     <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>
  504: 
  505:   </tr>
  506: 
  507:   <tr> 
  508: 
  509:     <td width=21 class="Normal"> <p>2</p></td>
  510: 
  511:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/01_Math_1\/msu-prob10\.problem\0022 \\t \0022_blank\0022"'><span
  512: 
  513:   class=MsoHyperlink><span style='color:blue'>Numbers</span></span></span></span></p></td>
  514: 
  515:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  516: 
  517:     <td width=29 bgcolor="white" class="Normal"> <p>414</p></td>
  518: 
  519:     <td width=26 bgcolor="white" class="Normal"> <p>17</p></td>
  520: 
  521:     <td width=30 bgcolor="white" class="Normal"> <p>1.62</p></td>
  522: 
  523:     <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>
  524: 
  525:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  526: 
  527:     <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>
  528: 
  529:     <td width=32 bgcolor="white" class="Normal"> <p>0.38</p></td>
  530: 
  531:     <td width=26 bgcolor="white" class="Normal"> <p>1.6</p></td>
  532: 
  533:     <td width=33 bgcolor="white" class="Normal"> <p>5.7</p></td>
  534: 
  535:     <td width=35 bgcolor="white" class="Normal"> <p>0.11</p></td>
  536: 
  537:     <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>
  538: 
  539:   </tr>
  540: 
  541:   <tr> 
  542: 
  543:     <td width=21 class="Normal"> <p>3</p></td>
  544: 
  545:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/03_Units_Scaling\/msu-prob22\.problem\0022 \\t \0022_blank\0022"'><span
  546: 
  547:   class=MsoHyperlink><span style='color:blue'>Speed</span></span></span></span></p></td>
  548: 
  549:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  550: 
  551:     <td width=29 bgcolor="white" class="Normal"> <p>698</p></td>
  552: 
  553:     <td width=26 bgcolor="white" class="Normal"> <p>13</p></td>
  554: 
  555:     <td width=30 bgcolor="white" class="Normal"> <p>2.73</p></td>
  556: 
  557:     <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>
  558: 
  559:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  560: 
  561:     <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>
  562: 
  563:     <td width=32 bgcolor="white" class="Normal"> <p>0.63</p></td>
  564: 
  565:     <td width=26 bgcolor="white" class="Normal"> <p>2.2</p></td>
  566: 
  567:     <td width=33 bgcolor="white" class="Normal"> <p>1.9</p></td>
  568: 
  569:     <td width=35 bgcolor="white" class="Normal"> <p>0.06</p></td>
  570: 
  571:     <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>
  572: 
  573:   </tr>
  574: 
  575:   <tr> 
  576: 
  577:     <td width=21 class="Normal"> <p>4</p></td>
  578: 
  579:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/01_Math_1\/msu-prob13\.problem\0022 \\t \0022_blank\0022"'><span
  580: 
  581:   class=MsoHyperlink><span style='color:blue'>Perimeter</span></span></span></span></p></td>
  582: 
  583:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  584: 
  585:     <td width=29 bgcolor="white" class="Normal"> <p>388</p></td>
  586: 
  587:     <td width=26 bgcolor="white" class="Normal"> <p>7</p></td>
  588: 
  589:     <td width=30 bgcolor="white" class="Normal"> <p>1.52</p></td>
  590: 
  591:     <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>
  592: 
  593:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  594: 
  595:     <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>
  596: 
  597:     <td width=32 bgcolor="white" class="Normal"> <p>0.34</p></td>
  598: 
  599:     <td width=26 bgcolor="white" class="Normal"> <p>0.9</p></td>
  600: 
  601:     <td width=33 bgcolor="white" class="Normal"> <p>2.4</p></td>
  602: 
  603:     <td width=35 bgcolor="white" class="Normal"> <p>-0.00</p></td>
  604: 
  605:     <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>
  606: 
  607:   </tr>
  608: 
  609:   <tr> 
  610: 
  611:     <td width=21 class="Normal"> <p>5</p></td>
  612: 
  613:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/devolibrary\/type-math\/fraction-rlt-235\.problem\0022 \\t \0022_blank\0022"'><span
  614: 
  615:   class=MsoHyperlink><span style='color:blue'>Reduce a Fraction</span></span></span></span></p></td>
  616: 
  617:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  618: 
  619:     <td width=29 bgcolor="white" class="Normal"> <p>315</p></td>
  620: 
  621:     <td width=26 bgcolor="white" class="Normal"> <p>4</p></td>
  622: 
  623:     <td width=30 bgcolor="white" class="Normal"> <p>1.23</p></td>
  624: 
  625:     <td width=31 bgcolor="white" class="Normal"> <p>256</p></td>
  626: 
  627:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  628: 
  629:     <td width=36 bgcolor="white" class="Normal"> <p>0.0</p></td>
  630: 
  631:     <td width=32 bgcolor="white" class="Normal"> <p>0.19</p></td>
  632: 
  633:     <td width=26 bgcolor="white" class="Normal"> <p>0.5</p></td>
  634: 
  635:     <td width=33 bgcolor="white" class="Normal"> <p>2.3</p></td>
  636: 
  637:     <td width=35 bgcolor="white" class="Normal"> <p>0.01</p></td>
  638: 
  639:     <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>
  640: 
  641:   </tr>
  642: 
  643:   <tr> 
  644: 
  645:     <td width=21 class="Normal"> <p>6</p></td>
  646: 
  647:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/devolibrary\/type-math\/fract-add-sub-div-p11\.problem\0022 \\t \0022_blank\0022"'><span
  648: 
  649:   class=MsoHyperlink><span style='color:blue'>Calculating with Fractions</span></span></span></span></p></td>
  650: 
  651:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  652: 
  653:     <td width=29 bgcolor="white" class="Normal"> <p>393</p></td>
  654: 
  655:     <td width=26 bgcolor="white" class="Normal"> <p>7</p></td>
  656: 
  657:     <td width=30 bgcolor="white" class="Normal"> <p>1.54</p></td>
  658: 
  659:     <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>
  660: 
  661:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  662: 
  663:     <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>
  664: 
  665:     <td width=32 bgcolor="white" class="Normal"> <p>0.35</p></td>
  666: 
  667:     <td width=26 bgcolor="white" class="Normal"> <p>0.9</p></td>
  668: 
  669:     <td width=33 bgcolor="white" class="Normal"> <p>2.0</p></td>
  670: 
  671:     <td width=35 bgcolor="white" class="Normal"> <p>0.15</p></td>
  672: 
  673:     <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>
  674: 
  675:   </tr>
  676: 
  677:   <tr> 
  678: 
  679:     <td width=21 class="Normal"> <p>7</p></td>
  680: 
  681:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/01_Math_1\/msu-prob04\.problem\0022 \\t \0022_blank\0022"'><span
  682: 
  683:   class=MsoHyperlink><span style='color:blue'>Area of a Balloon</span></span></span></span></p></td>
  684: 
  685:     <td width=37 bgcolor="white" class="Normal"> <p>254</p></td>
  686: 
  687:     <td width=29 bgcolor="white" class="Normal"> <p>601</p></td>
  688: 
  689:     <td width=26 bgcolor="white" class="Normal"> <p>12</p></td>
  690: 
  691:     <td width=30 bgcolor="white" class="Normal"> <p>2.37</p></td>
  692: 
  693:     <td width=31 bgcolor="white" class="Normal"> <p>247</p></td>
  694: 
  695:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  696: 
  697:     <td width=36 bgcolor="white" class="Normal"> <p>2.8</p></td>
  698: 
  699:     <td width=32 bgcolor="white" class="Normal"> <p>0.59</p></td>
  700: 
  701:     <td width=26 bgcolor="white" class="Normal"> <p>1.8</p></td>
  702: 
  703:     <td width=33 bgcolor="white" class="Normal"> <p>1.8</p></td>
  704: 
  705:     <td width=35 bgcolor="white" class="Normal"> <p>-0.05</p></td>
  706: 
  707:     <td width=37 bgcolor="white" class="Normal"> <p>-0.02</p></td>
  708: 
  709:   </tr>
  710: 
  711:   <tr> 
  712: 
  713:     <td width=21 class="Normal"> <p>8</p></td>
  714: 
  715:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/01_Math_1\/msu-prob07\.problem\0022 \\t \0022_blank\0022"'><span
  716: 
  717:   class=MsoHyperlink><span style='color:blue'>Volume of a Balloon</span></span></span></span></p></td>
  718: 
  719:     <td width=37 bgcolor="white" class="Normal"> <p>252</p></td>
  720: 
  721:     <td width=29 bgcolor="white" class="Normal"> <p>565</p></td>
  722: 
  723:     <td width=26 bgcolor="white" class="Normal"> <p>11</p></td>
  724: 
  725:     <td width=30 bgcolor="white" class="Normal"> <p>2.24</p></td>
  726: 
  727:     <td width=31 bgcolor="white" class="Normal"> <p>243</p></td>
  728: 
  729:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  730: 
  731:     <td width=36 bgcolor="white" class="Normal"> <p>3.6</p></td>
  732: 
  733:     <td width=32 bgcolor="white" class="Normal"> <p>0.57</p></td>
  734: 
  735:     <td width=26 bgcolor="white" class="Normal"> <p>1.9</p></td>
  736: 
  737:     <td width=33 bgcolor="white" class="Normal"> <p>2.0</p></td>
  738: 
  739:     <td width=35 bgcolor="white" class="Normal"> <p>-0.06</p></td>
  740: 
  741:     <td width=37 bgcolor="white" class="Normal"> <p>-0.03</p></td>
  742: 
  743:   </tr>
  744: 
  745:   <tr> 
  746: 
  747:     <td width=21 class="Normal"> <p>9</p></td>
  748: 
  749:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/01_Math_1\/msu-prob12\.problem\0022 \\t \0022_blank\0022"'><span
  750: 
  751:   class=MsoHyperlink><span style='color:blue'>Numerical Value of Fraction</span></span></span></span></p></td>
  752: 
  753:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  754: 
  755:     <td width=29 bgcolor="white" class="Normal"> <p>268</p></td>
  756: 
  757:     <td width=26 bgcolor="white" class="Normal"> <p>4</p></td>
  758: 
  759:     <td width=30 bgcolor="white" class="Normal"> <p>1.05</p></td>
  760: 
  761:     <td width=31 bgcolor="white" class="Normal"> <p>256</p></td>
  762: 
  763:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  764: 
  765:     <td width=36 bgcolor="white" class="Normal"> <p>0.0</p></td>
  766: 
  767:     <td width=32 bgcolor="white" class="Normal"> <p>0.04</p></td>
  768: 
  769:     <td width=26 bgcolor="white" class="Normal"> <p>0.2</p></td>
  770: 
  771:     <td width=33 bgcolor="white" class="Normal"> <p>3.4</p></td>
  772: 
  773:     <td width=35 bgcolor="white" class="Normal"> <p>0.01</p></td>
  774: 
  775:     <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>
  776: 
  777:   </tr>
  778: 
  779:   <tr> 
  780: 
  781:     <td width=21 class="Normal"> <p>10</p></td>
  782: 
  783:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/03_Units_Scaling\/msu-prob17\.problem\0022 \\t \0022_blank\0022"'><span
  784: 
  785:   class=MsoHyperlink><span style='color:blue'>Units</span></span></span></span></p></td>
  786: 
  787:     <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>
  788: 
  789:     <td width=29 bgcolor="white" class="Normal"> <p>1116</p></td>
  790: 
  791:     <td width=26 bgcolor="white" class="Normal"> <p>20</p></td>
  792: 
  793:     <td width=30 bgcolor="white" class="Normal"> <p>4.36</p></td>
  794: 
  795:     <td width=31 bgcolor="white" class="Normal"> <p>246</p></td>
  796: 
  797:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  798: 
  799:     <td width=36 bgcolor="white" class="Normal"> <p>3.9</p></td>
  800: 
  801:     <td width=32 bgcolor="white" class="Normal"> <p>0.78</p></td>
  802: 
  803:     <td width=26 bgcolor="white" class="Normal"> <p>4.2</p></td>
  804: 
  805:     <td width=33 bgcolor="white" class="Normal"> <p>1.9</p></td>
  806: 
  807:     <td width=35 bgcolor="white" class="Normal"> <p>0.18</p></td>
  808: 
  809:     <td width=37 bgcolor="white" class="Normal"> <p>0.03</p></td>
  810: 
  811:   </tr>
  812: 
  813:   <tr> 
  814: 
  815:     <td width=21 class="Normal"> <p>11</p></td>
  816: 
  817:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/06_Vectors_Scalars\/msu-prob07\.problem\0022 \\t \0022_blank\0022"'><span
  818: 
  819:   class=MsoHyperlink><span style='color:blue'>Vector versus Scalar</span></span></span></span></p></td>
  820: 
  821:     <td width=37 bgcolor="white" class="Normal"> <p>254</p></td>
  822: 
  823:     <td width=29 bgcolor="white" class="Normal"> <p>749</p></td>
  824: 
  825:     <td width=26 bgcolor="white" class="Normal"> <p>11</p></td>
  826: 
  827:     <td width=30 bgcolor="white" class="Normal"> <p>2.95</p></td>
  828: 
  829:     <td width=31 bgcolor="white" class="Normal"> <p>251</p></td>
  830: 
  831:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  832: 
  833:     <td width=36 bgcolor="white" class="Normal"> <p>1.2</p></td>
  834: 
  835:     <td width=32 bgcolor="white" class="Normal"> <p>0.66</p></td>
  836: 
  837:     <td width=26 bgcolor="white" class="Normal"> <p>2.2</p></td>
  838: 
  839:     <td width=33 bgcolor="white" class="Normal"> <p>1.1</p></td>
  840: 
  841:     <td width=35 bgcolor="white" class="Normal"> <p>-0.05</p></td>
  842: 
  843:     <td width=37 bgcolor="white" class="Normal"> <p>-0.05</p></td>
  844: 
  845:   </tr>
  846: 
  847:   <tr> 
  848: 
  849:     <td width=21 class="Normal"> <p>12</p></td>
  850: 
  851:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/06_Vectors_Scalars\/msu-prob10\.problem\0022 \\t \0022_blank\0022"'><span
  852: 
  853:   class=MsoHyperlink><span style='color:blue'>Adding Vectors</span></span></span></span></p></td>
  854: 
  855:     <td width=37 bgcolor="white" class="Normal"> <p>253</p></td>
  856: 
  857:     <td width=29 bgcolor="white" class="Normal"> <p>1026</p></td>
  858: 
  859:     <td width=26 bgcolor="white" class="Normal"> <p>20</p></td>
  860: 
  861:     <td width=30 bgcolor="white" class="Normal"> <p>4.06</p></td>
  862: 
  863:     <td width=31 bgcolor="white" class="Normal"> <p>250</p></td>
  864: 
  865:     <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>
  866: 
  867:     <td width=36 bgcolor="white" class="Normal"> <p>1.2</p></td>
  868: 
  869:     <td width=32 bgcolor="white" class="Normal"> <p>0.76</p></td>
  870: 
  871:     <td width=26 bgcolor="white" class="Normal"> <p>3.6</p></td>
  872: 
  873:     <td width=33 bgcolor="white" class="Normal"> <p>1.8</p></td>
  874: 
  875:     <td width=35 bgcolor="white" class="Normal"> <p>0.14</p></td>
  876: 
  877:     <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>
  878: 
  879:   </tr>
  880: 
  881:   <tr> 
  882: 
  883:     <td width=21 class="Normal"> <p>13</p></td>
  884: 
  885:     <td width=72 class="Normal"> <p><span style='font-size:9.0pt'><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/02_Math_2_Trig\/msu-prob13\.problem\0022 \\t \0022_blank\0022"'><span
  886: 
  887:   class=MsoHyperlink><span style='color:blue'>Proximity</span></span></span></span></p></td>
  888: 
  889:     <td width=37 bgcolor="white" class="Normal"> <p>249</p></td>
  890: 
  891:     <td width=29 bgcolor="white" class="Normal"> <p>663</p></td>
  892: 
  893:     <td width=26 bgcolor="white" class="Normal"> <p>19</p></td>
  894: 
  895:     <td width=30 bgcolor="white" class="Normal"> <p>2.66</p></td>
  896: 
  897:     <td width=31 bgcolor="white" class="Normal"> <p>239</p></td>
  898: 
  899:     <td width=29 bgcolor="white" class="Normal"> <p>1</p></td>
  900: 
  901:     <td width=36 bgcolor="white" class="Normal"> <p>3.6</p></td>
  902: 
  903:     <td width=32 bgcolor="white" class="Normal"> <p>0.64</p></td>
  904: 
  905:     <td width=26 bgcolor="white" class="Normal"> <p>2.3</p></td>
  906: 
  907:     <td width=33 bgcolor="white" class="Normal"> <p>2.8</p></td>
  908: 
  909:     <td width=35 bgcolor="white" class="Normal"> <p>0.11</p></td>
  910: 
  911:     <td width=37 bgcolor="white" class="Normal"> <p>-0.10</p></td>
  912: 
  913:   </tr>
  914: 
  915: </table>
  916: 
  917: <p><span style='font-size:14.0pt'><b>Fig. 3.2.2</b></span><span
  918: 
  919: style='font-size:14.0pt'>: Statistics table includes general statistics of every 
  920: 
  921:   problem of the course</span></p>
  922: 
  923: <p><span style='font-size:11.0pt;layout-grid-mode:line'>Every part of <i>multi-part</i></span><span style='font-size:11.0pt;layout-grid-mode:
  924: 
  925: line'> problems is distinguished as a separate problem. The <i>multi-instance</i></span><span
  926: 
  927: style='font-size:11.0pt;layout-grid-mode:line'> problem is also considered separately, 
  928: 
  929:   because a particular problem or one part of it might be used in different maps. 
  930: 
  931:   Finally, the array, which includes all computed information from all students, 
  932: 
  933:   sorted according to the problem order, underlying in homework sets order. Therefore, 
  934: 
  935:   in this step we can compute the following statistical information:</span></p>
  936: 
  937: <p> <span style='font-size:11.0pt;
  938: 
  939: layout-grid-mode:line'>1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
  940: 
  941:   </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>#Stdnts</b></span><span
  942: 
  943: style='font-size:11.0pt;layout-grid-mode:line'>: &nbsp;&nbsp;&nbsp;&nbsp; Total 
  944: 
  945:   number of students who take a look at the problem.(Let #Stdnts is equal to <i>n</i></span><span style='font-size:
  946: 
  947: 11.0pt;layout-grid-mode:line'>)</span></p>
  948: 
  949: <p> <span style='font-size:11.0pt;
  950: 
  951: layout-grid-mode:line'>2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
  952: 
  953:   </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Tries:</b></span><span
  954: 
  955: style='font-size:11.0pt;layout-grid-mode:line'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
  956: 
  957:   Total number of tries to solve the problem (</span><span style='font-size:11.0pt'> 
  958: 
  959:   <img width=28 height=34
  960: 
  961: src="Session%20Tw2_files/image057.png" v:shapes="_x0000_i1043"> where <i><sub> 
  962: 
  963:   <img width=12 height=18
  964: 
  965: src="Session%20Tw2_files/image060.png" v:shapes="_x0000_i1044"> </sub></i></span><span style='font-size:11.0pt'>denote 
  966: 
  967:   a student try<span style='layout-grid-mode:line'>).</span></span></p>
  968: 
  969: <p> <span style='font-size:11.0pt;
  970: 
  971: layout-grid-mode:line'>3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
  972: 
  973:   </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Mod: 
  974: 
  975:   </b></span><span style='font-size:11.0pt;layout-grid-mode:line'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
  976: 
  977:   Mode, </span><span style='font-size:11.0pt'>Maximum Number of Tries for solving 
  978: 
  979:   the problem.</span></p>
  980: 
  981: <p> <span style='font-size:11.0pt;
  982: 
  983: layout-grid-mode:line'>4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
  984: 
  985:   </span></span> <span style='font-size:11.0pt'><b>Mean:</b></span><span
  986: 
  987: style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Average Number 
  988: 
  989:   of the Tries. </span></p>
  990: 
  991: <p><span style='font-size:11.0pt'> <img width=11 height=13
  992: 
  993: src="Session%20Tw2_files/image063.png" v:shapes="_x0000_i1045"> = <img width=38 height=34
  994: 
  995: src="Session%20Tw2_files/image066.png" v:shapes="_x0000_i1046"> </span></p>
  996: 
  997: <p> 5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span> 
  998: 
  999:   <span style='font-size:11.0pt;layout-grid-mode:line'><b>#YES:</b></span><span
 1000: 
 1001: style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Number of students 
 1002: 
 1003:   solved the problem correctly.</span></p>
 1004: 
 1005: <p> <span style='font-size:11.0pt'>6.<span
 1006: 
 1007: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span
 1008: 
 1009: style='font-size:11.0pt'><b>#yes:</b></span><span style='font-size:11.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1010: 
 1011:   Number of students solved the problem by override. </span></p>
 1012: 
 1013: <p><span style='font-size:11.0pt'>Sometimes, a student gets a correct answer after 
 1014: 
 1015:   talking with the instructor. This type of correct answer is called Òcorrected 
 1016: 
 1017:   by override.</span></p>
 1018: 
 1019: <p> <span style='font-size:11.0pt'>7.<span
 1020: 
 1021: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span
 1022: 
 1023: style='font-size:11.0pt'><b>%Wrng:</b></span><span style='font-size:11.0pt'> &nbsp;&nbsp; 
 1024: 
 1025:   Percentage of students tried to solve the problem but still incorrect. </span></p>
 1026: 
 1027: <p><span style='font-size:11.0pt'> <img width=137 height=31
 1028: 
 1029: src="Session%20Tw2_files/image069.png" v:shapes="_x0000_i1047"> </span></p>
 1030: 
 1031: <p> <span style='font-size:11.0pt'>8.<span
 1032: 
 1033: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span
 1034: 
 1035: style='font-size:11.0pt'><b>S.D.:</b></span><span style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1036: 
 1037:   <i>Standard Deviation</i></span><span style='font-size:11.0pt'> of the studentsÕ 
 1038: 
 1039:   tries. </span></p>
 1040: 
 1041: <p><span style='font-size:11.0pt'> <img width=98 height=40
 1042: 
 1043: src="Session%20Tw2_files/image072.png" v:shapes="_x0000_i1048"> </span></p>
 1044: 
 1045: <p> <span style='font-size:11.0pt'>9.<span
 1046: 
 1047: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span
 1048: 
 1049: style='font-size:11.0pt'><b>Skew.:</b></span><span style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1050: 
 1051:   <i>Skewness</i></span><span
 1052: 
 1053: style='font-size:11.0pt'> of the studentsÕ tries. </span></p>
 1054: 
 1055: <p><span style='font-size:11.0pt'> <img width=194 height=76
 1056: 
 1057: src="Session%20Tw2_files/image075.png" v:shapes="_x0000_i1049"> </span></p>
 1058: 
 1059: <p> <span style='font-size:11.0pt'>10.<span
 1060: 
 1061: style='font:7.0pt "Times New Roman"'>&nbsp; </span></span> <span
 1062: 
 1063: style='font-size:11.0pt'><b>DoDiff:</b></span><span style='font-size:11.0pt'> 
 1064: 
 1065:   &nbsp;&nbsp;&nbsp;&nbsp; <i>Degree of Difficulty</i></span><span
 1066: 
 1067: style='font-size:11.0pt'> of the problem. </span></p>
 1068: 
 1069: <p><span style='font-size:11.0pt'> <img width=100 height=38
 1070: 
 1071: src="Session%20Tw2_files/image078.png" v:shapes="_x0000_i1050"> </span></p>
 1072: 
 1073: <p><span style='font-size:11.0pt'>As you see Degree of Difficulty is always between 
 1074: 
 1075:   0 and 1. This is a good factor for an instructor to determine whether a problem 
 1076: 
 1077:   is difficult, and what is the degree of this difficulty. Thus, DoDiff of each 
 1078: 
 1079:   problem is saved in its meta data.</span></p>
 1080: 
 1081: <p> <span style='font-size:11.0pt'>11.<span
 1082: 
 1083: style='font:7.0pt "Times New Roman"'>&nbsp; </span></span> <span
 1084: 
 1085: style='font-size:11.0pt'><b>Dis.F.:</b></span><span style='font-size:11.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1086: 
 1087:   <i>Discrimination Factor</i></span><a href="#_ftn2" name="_ftnref2"
 1088: 
 1089: title=""><span class=MsoFootnoteReference><span style='font-size:11.0pt'> [2] 
 1090: 
 1091:   </span></span></a><span
 1092: 
 1093: style='font-size:11.0pt'> is an standard for evaluating how much a problem discriminates 
 1094: 
 1095:   between the upper and the lower students.&nbsp; First, all of the students are 
 1096: 
 1097:   sorted according to a criterion. Then, %27 of upper students and %27 lower students 
 1098: 
 1099:   are selected from the sorted students applying the mentioned criterion. Finally 
 1100: 
 1101:   we obtain the Discrimination Factor from the following difference:</span></p>
 1102: 
 1103: <p><span style='font-size:11.0pt'><i>Applied a criterion in %27 upper students 
 1104: 
 1105:   - Applied the same Criterion in %27 lower students.</i></span></p>
 1106: 
 1107: <p class=MsoBodyTextIndent2 align=left style='text-align:left;line-height:normal'>Discrimination 
 1108: 
 1109:   Factor is a number in interval [-1,1]. If this number is close to 1, it shows 
 1110: 
 1111:   that only upper students have solved this problem. If it is close to 0 it shows 
 1112: 
 1113:   that the upper students and the lowers are approximately the same in solving 
 1114: 
 1115:   the problem. If this number is negative, it shows that the lower students have 
 1116: 
 1117:   more successes in solving the problem, and thus this problem is very poor in 
 1118: 
 1119:   discriminating the upper and lower students.</p>
 1120: 
 1121: <p><span style='font-size:11.0pt'>In lonstatistics.pm we compute the Discrimination 
 1122: 
 1123:   Factor from two criteria:</span></p>
 1124: 
 1125: <p><span style='font-size:11.0pt'><i>1st Criterion </i></span><span style='font-size:11.0pt'>for 
 1126: 
 1127:   Sorting the Students: <img width=138 height=41
 1128: 
 1129: src="Session%20Tw2_files/image081.png" v:shapes="_x0000_i1051"> </span></p>
 1130: 
 1131: <p><span style='font-size:11.0pt'><i>2nd Criterion</i></span><span style='font-size:11.0pt'> 
 1132: 
 1133:   for Sorting the Students: <img width=87 height=41
 1134: 
 1135: src="Session%20Tw2_files/image084.png" v:shapes="_x0000_i1052"> </span></p>
 1136: 
 1137: <p> <span style='font-size:11.0pt;
 1138: 
 1139: font-family:Symbol;layout-grid-mode:line'>á<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1140: 
 1141:   </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Change 
 1142: 
 1143:   the stats table sorting </b></span></p>
 1144: 
 1145: <p><span style='font-size:11.0pt;layout-grid-mode:line'>As you see in Fig. 3.2. 
 1146: 
 1147:   2, all headers in the stats table are buttons that change the order of the table. 
 1148: 
 1149:   Users can change increasingly or decreasingly every column of the table. First 
 1150: 
 1151:   the user select the Ò<i>ascending</i></span><span
 1152: 
 1153: style='font-size:11.0pt;layout-grid-mode:line'>Ó or Ò<i>descending</i></span><span
 1154: 
 1155: style='font-size:11.0pt;layout-grid-mode:line'>Ó option, then he/she can change 
 1156: 
 1157:   the order of the table with clicking the header of his/her interested header. 
 1158: 
 1159:   If the user changes the order the table, all information is shown in one table, 
 1160: 
 1161:   each row corresponds to a particular problem. If the user selects the first 
 1162: 
 1163:   column, Òhomework set orderÓ, the information is shown in different tables, 
 1164: 
 1165:   each table corresponds to a particular homework set.&nbsp;&nbsp; </span></p>
 1166: 
 1167: <p> <span style='font-size:11.0pt;
 1168: 
 1169: font-family:Symbol;layout-grid-mode:line'>á<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1170: 
 1171:   </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Graphical 
 1172: 
 1173:   chart </b></span></p>
 1174: 
 1175: <p><span style='font-size:11.0pt;layout-grid-mode:line'>Two important features 
 1176: 
 1177:   in this page might be seen through the graphical charts. That is, a user could 
 1178: 
 1179:   see the content of Ò%wrongÓ column and Òdegree of difficulty of problemsÓ in 
 1180: 
 1181:   the graphical chart as is shown in Fig. 3.2. 3 and 4 for homework set 1 in course 
 1182: 
 1183:   PHY183 SS02. These graphical charts are produced dynamically by calling a CGI 
 1184: 
 1185:   scripts, (graph.gif) which is located in /home/httpd/cgi-bin/</span></p>
 1186: 
 1187: <p> <img width=231 height=173
 1188: 
 1189: src="Session%20Tw2_files/image086.jpg" v:shapes="_x0000_i1053"> <span
 1190: 
 1191: style='layout-grid-mode:line'> <img width=230 height=170
 1192: 
 1193: src="Session%20Tw2_files/image088.jpg" v:shapes="_x0000_i1054"> </span></p>
 1194: 
 1195: <p><b>Fig. 3.2. 3</b><span
 1196: 
 1197: style='font-weight:normal'>: Degree of difficulty graph &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1198: 
 1199:   </span><b>Fig. 3.2. 4</b><span style='font-weight:normal'>: %Wrong graph</span></p>
 1200: 
 1201: <h4 style='line-height:150%'><span style='font-size:12.0pt;font-family:Arial;
 1202: 
 1203: layout-grid-mode:line'> &nbsp; </span></h4>
 1204: 
 1205: <h3><a name="_Toc421867141"><span style='layout-grid-mode:line'>Problem Analysis</span></a></h3>
 1206: 
 1207: <p><span style='font-size:11.0pt'>Conceptual option response problems, in which 
 1208: 
 1209:   the students are given several concepts that are randomly assigned to each student, 
 1210: 
 1211:   are more difficult than numerical simple problems.&nbsp; Instructors usually 
 1212: 
 1213:   want to see the studentsÕ tries according to every particular concept separately. 
 1214: 
 1215:   ÒProblem AnalysisÓ button provides all response option problems in one table 
 1216: 
 1217:   as follows in the <b>Fig. 3.2.5.</b></span><span style='font-size:11.0pt'> </span></p>
 1218: 
 1219: <div style='border:solid windowtext .5pt;padding:1.0pt 0in 1.0pt 4.0pt'> 
 1220: 
 1221:   <p style='border:none;padding:0in;'><span style='font-size:11.0pt'>Total number 
 1222: 
 1223:     of students: 263</span></p>
 1224: 
 1225:   <p style='border:none;padding:0in;'><b>Select number of intervals</b><span style='font-weight:normal'> 
 1226: 
 1227:     <img width=53 height=18
 1228: 
 1229: src="Session%20Tw2_files/image091.png" v:shapes="_x0000_i1055"> </span></p>
 1230: 
 1231:   <p style='border:none;padding:0in;'><b>Option Response Problems</b><span
 1232: 
 1233: style='font-weight:normal'> </span><b>in course PHY183 SS02:</b></p>
 1234: 
 1235: </div>
 1236: 
 1237: <table border=1 cellspacing=0 cellpadding=0>
 1238: 
 1239:   <tr> 
 1240: 
 1241:     <td width=15 class="Normal"> <p align=center style='text-align:center'><b># 
 1242: 
 1243:         </b></p></td>
 1244: 
 1245:     <td width=83 class="Normal"> <p align=center style='text-align:center'><b>Problem 
 1246: 
 1247:         Title </b></p></td>
 1248: 
 1249:     <td width=298 class="Normal"> <p align=center style='text-align:center'><b>Resource 
 1250: 
 1251:         </b></p></td>
 1252: 
 1253:     <td width=77 class="Normal"> <p align=center style='text-align:center'><b>Address 
 1254: 
 1255:         </b></p></td>
 1256: 
 1257:   </tr>
 1258: 
 1259:   <tr> 
 1260: 
 1261:     <td width=15 class="Normal"> <p>1 </p></td>
 1262: 
 1263:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/01_Math_1\/msu-prob10\.problem\0022 \\t \0022_blank\0022"'><span
 1264: 
 1265:   class=MsoHyperlink><span style='color:blue'>Numbers</span></span></span> </p></td>
 1266: 
 1267:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/01_Math_1/msu-prob10.problem 
 1268: 
 1269:       </p></td>
 1270: 
 1271:     <td width=77 class="Normal"> <p> <img width=72 height=23
 1272: 
 1273:   src="Session%20Tw2_files/image094.png" v:shapes="_x0000_i1056"> </p></td>
 1274: 
 1275:   </tr>
 1276: 
 1277:   <tr> 
 1278: 
 1279:     <td width=15 class="Normal"> <p>2 </p></td>
 1280: 
 1281:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/03_Units_Scaling\/msu-prob22\.problem\0022 \\t \0022_blank\0022"'><span
 1282: 
 1283:   class=MsoHyperlink><span style='color:blue'>Speed</span></span></span> </p></td>
 1284: 
 1285:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/03_Units_Scaling/msu-prob22.problem 
 1286: 
 1287:       </p></td>
 1288: 
 1289:     <td width=77 class="Normal"> <p> <img width=72 height=23
 1290: 
 1291:   src="Session%20Tw2_files/image097.png" v:shapes="_x0000_i1057"> </p></td>
 1292: 
 1293:   </tr>
 1294: 
 1295:   <tr> 
 1296: 
 1297:     <td width=15 class="Normal"> <p>3 </p></td>
 1298: 
 1299:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/03_Units_Scaling\/msu-prob17\.problem\0022 \\t \0022_blank\0022"'><span
 1300: 
 1301:   class=MsoHyperlink><span style='color:blue'>Units</span></span></span> </p></td>
 1302: 
 1303:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/03_Units_Scaling/msu-prob17.problem 
 1304: 
 1305:       </p></td>
 1306: 
 1307:     <td width=77 class="Normal"> <p> <img width=72 height=23
 1308: 
 1309:   src="Session%20Tw2_files/image100.png" v:shapes="_x0000_i1058"> </p></td>
 1310: 
 1311:   </tr>
 1312: 
 1313:   <tr> 
 1314: 
 1315:     <td width=15 class="Normal"> <p>4 </p></td>
 1316: 
 1317:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/06_Vectors_Scalars\/msu-prob07\.problem\0022 \\t \0022_blank\0022"'><span
 1318: 
 1319:   class=MsoHyperlink><span style='color:blue'>Vector versus Scalar</span></span></span> 
 1320: 
 1321:       </p></td>
 1322: 
 1323:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/06_Vectors_Scalars/msu-prob07.problem 
 1324: 
 1325:       </p></td>
 1326: 
 1327:     <td width=77 class="Normal"> <p> <img width=72 height=23
 1328: 
 1329:   src="Session%20Tw2_files/image103.png" v:shapes="_x0000_i1059"> </p></td>
 1330: 
 1331:   </tr>
 1332: 
 1333:   <tr> 
 1334: 
 1335:     <td width=15 class="Normal"> <p>5 </p></td>
 1336: 
 1337:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/06_Vectors_Scalars\/msu-prob10\.problem\0022 \\t \0022_blank\0022"'><span
 1338: 
 1339:   class=MsoHyperlink><span style='color:blue'>Adding Vectors</span></span></span> 
 1340: 
 1341:       </p></td>
 1342: 
 1343:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/06_Vectors_Scalars/msu-prob10.problem 
 1344: 
 1345:       </p></td>
 1346: 
 1347:     <td width=77 class="Normal"> <p> <img width=72 height=23
 1348: 
 1349:   src="Session%20Tw2_files/image106.png" v:shapes="_x0000_i1060"> </p></td>
 1350: 
 1351:   </tr>
 1352: 
 1353:   <tr> 
 1354: 
 1355:     <td width=15 class="Normal"> <p>6 </p></td>
 1356: 
 1357:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/05_1D_Motion\/msu-prob16\.problem\0022 \\t \0022_blank\0022"'><span
 1358: 
 1359:   class=MsoHyperlink><span style='color:blue'>Traveling Car</span></span></span> 
 1360: 
 1361:       </p></td>
 1362: 
 1363:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/05_1D_Motion/msu-prob16.problem 
 1364: 
 1365:       </p></td>
 1366: 
 1367:     <td width=77 class="Normal"> <p> <img width=59 height=23
 1368: 
 1369:   src="Session%20Tw2_files/image109.png" v:shapes="_x0000_i1061"> </p></td>
 1370: 
 1371:   </tr>
 1372: 
 1373:   <tr> 
 1374: 
 1375:     <td width=15 class="Normal"> <p>7 </p></td>
 1376: 
 1377:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/kashy\/Testing\/randomlabel\/atwood3T2M\.problem\0022 \\t \0022_blank\0022"'><span
 1378: 
 1379:   class=MsoHyperlink><span style='color:blue'>Atwood Machine</span></span></span> 
 1380: 
 1381:       </p></td>
 1382: 
 1383:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/kashy/Testing/randomlabel/atwood3T2M.problem 
 1384: 
 1385:       </p></td>
 1386: 
 1387:     <td width=77 class="Normal"> <p> <img width=63 height=23
 1388: 
 1389:   src="Session%20Tw2_files/image112.png" v:shapes="_x0000_i1062"> </p></td>
 1390: 
 1391:   </tr>
 1392: 
 1393:   <tr> 
 1394: 
 1395:     <td width=15 class="Normal"> <p>8 </p></td>
 1396: 
 1397:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/10_Motion_W_Friction\/msu-prob32\.problem\0022 \\t \0022_blank\0022"'><span
 1398: 
 1399:   class=MsoHyperlink><span style='color:blue'>Sliding mass concepts</span></span></span> 
 1400: 
 1401:       </p></td>
 1402: 
 1403:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/10_Motion_W_Friction/msu-prob32.problem 
 1404: 
 1405:       </p></td>
 1406: 
 1407:     <td width=77 class="Normal"> <p> <img width=59 height=23
 1408: 
 1409:   src="Session%20Tw2_files/image115.png" v:shapes="_x0000_i1063"> </p></td>
 1410: 
 1411:   </tr>
 1412: 
 1413:   <tr> 
 1414: 
 1415:     <td width=15 class="Normal"> <p>9 </p></td>
 1416: 
 1417:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/12_Work_Power_Energy\/msu-prob27\.problem\0022 \\t \0022_blank\0022"'><span
 1418: 
 1419:   class=MsoHyperlink><span style='color:blue'>Work, Power, Energy Concepts</span></span></span> 
 1420: 
 1421:       </p></td>
 1422: 
 1423:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/12_Work_Power_Energy/msu-prob27.problem 
 1424: 
 1425:       </p></td>
 1426: 
 1427:     <td width=77 class="Normal"> <p> <img width=68 height=23
 1428: 
 1429:   src="Session%20Tw2_files/image118.png" v:shapes="_x0000_i1064"> </p></td>
 1430: 
 1431:   </tr>
 1432: 
 1433:   <tr> 
 1434: 
 1435:     <td width=15 class="Normal"> <p>10 </p></td>
 1436: 
 1437:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/13_EnergyConservation\/msu-prob32\.problem\0022 \\t \0022_blank\0022"'><span
 1438: 
 1439:   class=MsoHyperlink><span style='color:blue'>Bead on a Wire</span></span></span> 
 1440: 
 1441:       </p></td>
 1442: 
 1443:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/13_EnergyConservation/msu-prob32.problem 
 1444: 
 1445:       </p></td>
 1446: 
 1447:     <td width=77 class="Normal"> <p> <img width=63 height=23
 1448: 
 1449:   src="Session%20Tw2_files/image121.png" v:shapes="_x0000_i1065"> </p></td>
 1450: 
 1451:   </tr>
 1452: 
 1453:   <tr> 
 1454: 
 1455:     <td width=15 class="Normal"> <p>11 </p></td>
 1456: 
 1457:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/20_Rot2_E_Trq_Accel\/msu-prob23\.problem\0022 \\t \0022_blank\0022"'><span
 1458: 
 1459:   class=MsoHyperlink><span style='color:blue'>Atwood Machine</span></span></span> 
 1460: 
 1461:       </p></td>
 1462: 
 1463:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/20_Rot2_E_Trq_Accel/msu-prob23.problem 
 1464: 
 1465:       </p></td>
 1466: 
 1467:     <td width=77 class="Normal"> <p> <img width=63 height=23
 1468: 
 1469:   src="Session%20Tw2_files/image124.png" v:shapes="_x0000_i1066"> </p></td>
 1470: 
 1471:   </tr>
 1472: 
 1473:   <tr> 
 1474: 
 1475:     <td width=15 class="Normal"> <p>12 </p></td>
 1476: 
 1477:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/21_Rot3_AngMom_Roll\/msu-prob38\.problem\0022 \\t \0022_blank\0022"'><span
 1478: 
 1479:   class=MsoHyperlink><span style='color:blue'>Flinstone Bowling</span></span></span> 
 1480: 
 1481:       </p></td>
 1482: 
 1483:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/21_Rot3_AngMom_Roll/msu-prob38.problem 
 1484: 
 1485:       </p></td>
 1486: 
 1487:     <td width=77 class="Normal"> <p> <img width=63 height=23
 1488: 
 1489:   src="Session%20Tw2_files/image127.png" v:shapes="_x0000_i1067"> </p></td>
 1490: 
 1491:   </tr>
 1492: 
 1493:   <tr> 
 1494: 
 1495:     <td width=15 class="Normal"> <p>13 </p></td>
 1496: 
 1497:     <td width=83 bgcolor="white" class="Normal"> <p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/physicslib\/msuphysicslib\/32_Fluids1_Pascal_Arch\/msu-prob12\.problem\0022 \\t \0022_blank\0022"'><span
 1498: 
 1499:   class=MsoHyperlink><span style='color:blue'>Boat on Pond</span></span></span> 
 1500: 
 1501:       </p></td>
 1502: 
 1503:     <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/32_Fluids1_Pascal_Arch/msu-prob12.problem 
 1504: 
 1505:       </p></td>
 1506: 
 1507:     <td width=77 class="Normal"> <p> <img width=68 height=23
 1508: 
 1509:   src="Session%20Tw2_files/image130.png" v:shapes="_x0000_i1068"> </p></td>
 1510: 
 1511:   </tr>
 1512: 
 1513:   <tr> 
 1514: 
 1515:     <td width=15 class="Normal">&nbsp; </td>
 1516: 
 1517:     <td width=83 bgcolor="white" class="Normal"> <p align=center style='text-align:center'>É</p></td>
 1518: 
 1519:     <td width=298 bgcolor="white" class="Normal"> <p align=center style='text-align:center'>É</p></td>
 1520: 
 1521:     <td width=77 class="Normal"> <p align=center style='text-align:center'>É</p></td>
 1522: 
 1523:   </tr>
 1524: 
 1525: </table>
 1526: 
 1527: <p><span style='font-size:11.0pt'><b>Fig. 3.2.5</b></span><span
 1528: 
 1529: style='font-size:11.0pt'>: Option response problems in course PHY183 SS02</span></p>
 1530: 
 1531: <p><b>Fig. 3.2.5</b><span style='font-weight:normal'> includes a table, which 
 1532: 
 1533:   shows the title of every option response problem in the first column. This title 
 1534: 
 1535:   has a link to the original html page of the problem.&nbsp; In the second column 
 1536: 
 1537:   the source address of the problem is shown. Third column of this table includes 
 1538: 
 1539:   a button to analyze the studentsÕ data on this particular option response problem. 
 1540: 
 1541:   When this button is clicked, all data about this problem is <i>restored</i></span>, 
 1542: 
 1543:   for every student.&nbsp; Different versions of studentsÕ submissions are evaluated. 
 1544: 
 1545:   The results are presented in a graphical chart as well as a numerical table. 
 1546: 
 1547:   For example, if we select the analysis of&nbsp; <b>/res/msu/kashy/Testing/randomlabel/atwood3T2M.problem</b></p>
 1548: 
 1549: <p> <span style='position:
 1550: 
 1551: relative;z-index:0'><span style='position:absolute;left:-37px;top:-32px;
 1552: 
 1553: width:248px;height:174px'> <table cellpadding=0 cellspacing=0> <tr> <td width=249 height=174 align=left valign=top bgcolor=white class="Normal"
 1554: 
 1555:   style='border:.75pt solid black;vertical-align:top;background:white'><span
 1556: 
 1557:   style='position:absolute;z-index:1'> 
 1558: 
 1559:   <table cellpadding=0 cellspacing=0 width="100%">
 1560: 
 1561:     <tr> 
 1562: 
 1563:       <td class="Normal"> <div v:shape="_x0000_s1026" style='padding:3.6pt 7.2pt 3.6pt 7.2pt'
 1564: 
 1565:     class=shape> 
 1566: 
 1567:           <p class=FirstParagraph><span lang=PT-BR
 1568: 
 1569:     style='font-size:9.0pt'>A frictionless, massless pulley is attached to the 
 1570: 
 1571:             ceiling, in a gravity field g. Mass Ma is greater than mass Mb. The 
 1572: 
 1573:             tensions Tx,Ty, Tz, and the constant g are magnitudes. (For each, 
 1574: 
 1575:             select: Greater than, Less than, Equal to, True, or False) </span></p>
 1576: 
 1577:           <p class=FirstParagraph><span lang=PT-BR style='font-size:9.0pt'> <img width=96 height=114
 1578: 
 1579:     src="Session%20Tw2_files/image132.jpg" v:shapes="_x0000_i1069"> &nbsp; <img width=125 height=120
 1580: 
 1581:     src="Session%20Tw2_files/image135.png" v:shapes="_x0000_i1070"> </span></p>
 1582: 
 1583:         </div></td>
 1584: 
 1585:     </tr>
 1586: 
 1587:   </table>
 1588: 
 1589:   &nbsp; </span></td></tr> </table> &nbsp; 
 1590: 
 1591:   <p></p>
 1592: 
 1593:   <br clear=all>
 1594: 
 1595:   <p align=right style='text-align:right'> <span style='position:
 1596: 
 1597: absolute;z-index:1;left:0px;margin-left:229px;margin-top:97px;width:235px;
 1598: 
 1599: height:40px'> <table cellpadding=0 cellspacing=0> <tr> <td width=236 height=40 align=left valign=top bgcolor=white class="Normal" style='border:
 1600: 
 1601:   .75pt solid white;vertical-align:top;background:white'><span
 1602: 
 1603:   style='position:absolute;left:0pt;z-index:3'> 
 1604: 
 1605:     <table cellpadding=0 cellspacing=0 width="100%">
 1606: 
 1607:       <tr> 
 1608: 
 1609:         <td class="Normal"> <div v:shape="_x0000_s1028" style='padding:3.6pt 7.2pt 3.6pt 7.2pt'
 1610: 
 1611:     class=shape> 
 1612: 
 1613:             <p><span style='font-size:9.0pt'><b>Fig. 3.2.7</b></span><span
 1614: 
 1615:     style='font-size:9.0pt'>: Graphical chart of student tries for </span></p>
 1616: 
 1617:             <p><span style='font-size:9.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1618: 
 1619:               &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Atwood Machine Problem 
 1620: 
 1621:               according </span></p>
 1622: 
 1623:             <p><span style='font-size:9.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 
 1624: 
 1625:               to every concept in 1 interval time.</span></p>
 1626: 
 1627:           </div></td>
 1628: 
 1629:       </tr>
 1630: 
 1631:     </table>
 1632: 
 1633:     &nbsp; </span></td></tr> </table> <img width=203 height=150
 1634: 
 1635: src="Session%20Tw2_files/image137.png" v:shapes="_x0000_i1071"> 
 1636: 
 1637:     <p></p>
 1638: 
 1639:     <p><span style='font-size:9.0pt'><b>Fig. 3.2.6</b></span><span
 1640: 
 1641: style='font-size:9.0pt'>: Atwood Machine option response problem in HW3<b> </b></span></p>
 1642: 
 1643:     <p><span style='font-size:11.0pt'>In addition, the data of studentsÕ tries 
 1644: 
 1645:       are shown in a table as you see in <b>Fig. 3.2.8</b></span><span
 1646: 
 1647: style='font-size:11.0pt'>. In the last row of the table you can see the time interval 
 1648: 
 1649:       of this data and the overall correct and wrong answers separately. If an 
 1650: 
 1651:       instructor wants to see the studentsÕ tries in different time intervals, 
 1652: 
 1653:       he/she could set the number of intervals from 1 to 7 time intervals, and 
 1654: 
 1655:       then recompute the analysis. </span></p>
 1656: 
 1657:     <table border=1 cellspacing=0 cellpadding=0>
 1658: 
 1659:       <tr> 
 1660: 
 1661:         <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 
 1662: 
 1663:             </b></p></td>
 1664: 
 1665:         <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 
 1666: 
 1667:             </b></p></td>
 1668: 
 1669:         <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 
 1670: 
 1671:             </b></p></td>
 1672: 
 1673:         <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 
 1674: 
 1675:             </b></p></td>
 1676: 
 1677:       </tr>
 1678: 
 1679:       <tr> 
 1680: 
 1681:         <td width=10 class="Normal"> <p>1</p></td>
 1682: 
 1683:         <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 
 1684: 
 1685:             acceleration if the two the string does not stretch. </p></td>
 1686: 
 1687:         <td width=38 bgcolor="white" class="Normal"> <p>1342 </p></td>
 1688: 
 1689:         <td width=35 bgcolor="white" class="Normal"> <p>433 </p></td>
 1690: 
 1691:       </tr>
 1692: 
 1693:       <tr> 
 1694: 
 1695:         <td width=10 class="Normal"> <p>2</p></td>
 1696: 
 1697:         <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 
 1698: 
 1699:             is greater than the tension of the string attached to the ceiling. 
 1700: 
 1701:           </p></td>
 1702: 
 1703:         <td width=38 bgcolor="white" class="Normal"> <p>585 </p></td>
 1704: 
 1705:         <td width=35 bgcolor="white" class="Normal"> <p>1190 </p></td>
 1706: 
 1707:       </tr>
 1708: 
 1709:       <tr> 
 1710: 
 1711:         <td width=10 class="Normal"> <p>3</p></td>
 1712: 
 1713:         <td width=357 bgcolor="white" class="Normal"> <p>The top tension is equals 
 1714: 
 1715:             the two bottom tensions. (massless pulley) </p></td>
 1716: 
 1717:         <td width=38 bgcolor="white" class="Normal"> <p>1263 </p></td>
 1718: 
 1719:         <td width=35 bgcolor="white" class="Normal"> <p>512 </p></td>
 1720: 
 1721:       </tr>
 1722: 
 1723:       <tr> 
 1724: 
 1725:         <td width=10 class="Normal"> <p>4</p></td>
 1726: 
 1727:         <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the two 
 1728: 
 1729:             masses are equal if mass of pulley=0 </p></td>
 1730: 
 1731:         <td width=38 bgcolor="white" class="Normal"> <p>1087 </p></td>
 1732: 
 1733:         <td width=35 bgcolor="white" class="Normal"> <p>688 </p></td>
 1734: 
 1735:       </tr>
 1736: 
 1737:       <tr> 
 1738: 
 1739:         <td width=10 class="Normal"> <p>5</p></td>
 1740: 
 1741:         <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 
 1742: 
 1743:             upwards or downwards accordingly </p></td>
 1744: 
 1745:         <td width=38 bgcolor="white" class="Normal"> <p>757 </p></td>
 1746: 
 1747:         <td width=35 bgcolor="white" class="Normal"> <p>1018 </p></td>
 1748: 
 1749:       </tr>
 1750: 
 1751:       <tr> 
 1752: 
 1753:         <td width=10 class="Normal"> <p>6</p></td>
 1754: 
 1755:         <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 
 1756: 
 1757:             downward </p></td>
 1758: 
 1759:         <td width=38 bgcolor="white" class="Normal"> <p>1354 </p></td>
 1760: 
 1761:         <td width=35 bgcolor="white" class="Normal"> <p>421 </p></td>
 1762: 
 1763:       </tr>
 1764: 
 1765:       <tr> 
 1766: 
 1767:         <td width=10 class="Normal">&nbsp; </td>
 1768: 
 1769:         <td width=357 class="Normal"> <p><b>From:[Thu Jan 24 00:46:22 2002] To: 
 1770: 
 1771:             [Mon Feb 4 23:59:59 2002]</b></p></td>
 1772: 
 1773:         <td width=38 class="Normal"> <p>6388</p></td>
 1774: 
 1775:         <td width=35 class="Normal"> <p>4245</p></td>
 1776: 
 1777:       </tr>
 1778: 
 1779:     </table>
 1780: 
 1781:     <p><span style='font-size:11.0pt'><b>Fig. 3.2.8</b></span><span
 1782: 
 1783: style='font-size:11.0pt'>: Table of student tries for Atwood Machine Problem according 
 1784: 
 1785:       to every concept in one time interval.</span></p>
 1786: 
 1787:     <p> <span
 1788: 
 1789: style='position:relative;z-index:2'><span style='position:
 1790: 
 1791: absolute;left:-109px;top:-166px;width:341px;height:24px'> <img width=341
 1792: 
 1793: height=24 src="Session%20Tw2_files/image138.png" v:shapes="_x0000_s1027"> <img width=203 height=150
 1794: 
 1795: src="Session%20Tw2_files/image140.png" v:shapes="_x0000_i1072"> <img width=203 height=150
 1796: 
 1797: src="Session%20Tw2_files/image142.png" v:shapes="_x0000_i1073"> 
 1798: 
 1799:       <p></p>
 1800: 
 1801:       <table border=1 cellspacing=0 cellpadding=0>
 1802: 
 1803:         <tr> 
 1804: 
 1805:           <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 
 1806: 
 1807:               </b></p></td>
 1808: 
 1809:           <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 
 1810: 
 1811:               </b></p></td>
 1812: 
 1813:           <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 
 1814: 
 1815:               </b></p></td>
 1816: 
 1817:           <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 
 1818: 
 1819:               </b></p></td>
 1820: 
 1821:         </tr>
 1822: 
 1823:         <tr> 
 1824: 
 1825:           <td width=10 class="Normal"> <p>1</p></td>
 1826: 
 1827:           <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 
 1828: 
 1829:               acceleration if the two the string does not stretch. </p></td>
 1830: 
 1831:           <td width=38 bgcolor="white" class="Normal"> <p>124 </p></td>
 1832: 
 1833:           <td width=35 bgcolor="white" class="Normal"> <p>98 </p></td>
 1834: 
 1835:         </tr>
 1836: 
 1837:         <tr> 
 1838: 
 1839:           <td width=10 class="Normal"> <p>2</p></td>
 1840: 
 1841:           <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 
 1842: 
 1843:               is greater than the tension of the string attached to the ceiling. 
 1844: 
 1845:             </p></td>
 1846: 
 1847:           <td width=38 bgcolor="white" class="Normal"> <p>44 </p></td>
 1848: 
 1849:           <td width=35 bgcolor="white" class="Normal"> <p>178 </p></td>
 1850: 
 1851:         </tr>
 1852: 
 1853:         <tr> 
 1854: 
 1855:           <td width=10 class="Normal"> <p>3</p></td>
 1856: 
 1857:           <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 
 1858: 
 1859:               equals the two bottom tensions. (massless pulley) </p></td>
 1860: 
 1861:           <td width=38 bgcolor="white" class="Normal"> <p>142 </p></td>
 1862: 
 1863:           <td width=35 bgcolor="white" class="Normal"> <p>80 </p></td>
 1864: 
 1865:         </tr>
 1866: 
 1867:         <tr> 
 1868: 
 1869:           <td width=10 class="Normal"> <p>4</p></td>
 1870: 
 1871:           <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 
 1872: 
 1873:               two masses are equal if mass of pulley=0 </p></td>
 1874: 
 1875:           <td width=38 bgcolor="white" class="Normal"> <p>125 </p></td>
 1876: 
 1877:           <td width=35 bgcolor="white" class="Normal"> <p>97 </p></td>
 1878: 
 1879:         </tr>
 1880: 
 1881:         <tr> 
 1882: 
 1883:           <td width=10 class="Normal"> <p>5</p></td>
 1884: 
 1885:           <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 
 1886: 
 1887:               upwards or downwards accordingly </p></td>
 1888: 
 1889:           <td width=38 bgcolor="white" class="Normal"> <p>64 </p></td>
 1890: 
 1891:           <td width=35 bgcolor="white" class="Normal"> <p>158 </p></td>
 1892: 
 1893:         </tr>
 1894: 
 1895:         <tr> 
 1896: 
 1897:           <td width=10 class="Normal"> <p>6</p></td>
 1898: 
 1899:           <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 
 1900: 
 1901:               downward </p></td>
 1902: 
 1903:           <td width=38 bgcolor="white" class="Normal"> <p>151 </p></td>
 1904: 
 1905:           <td width=35 bgcolor="white" class="Normal"> <p>71 </p></td>
 1906: 
 1907:         </tr>
 1908: 
 1909:         <tr> 
 1910: 
 1911:           <td width=10 class="Normal">&nbsp; </td>
 1912: 
 1913:           <td width=357 class="Normal"> <p><b>From:[Thu Jan 24 00:46:22 2002] 
 1914: 
 1915:               To: [Wed Jan 30 00:23:10 2002]</b></p></td>
 1916: 
 1917:           <td width=38 class="Normal"> <p>650</p></td>
 1918: 
 1919:           <td width=35 class="Normal"> <p>682</p></td>
 1920: 
 1921:         </tr>
 1922: 
 1923:       </table>
 1924: 
 1925:       <table border=1 cellspacing=0 cellpadding=0>
 1926: 
 1927:         <tr> 
 1928: 
 1929:           <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 
 1930: 
 1931:               </b></p></td>
 1932: 
 1933:           <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 
 1934: 
 1935:               </b></p></td>
 1936: 
 1937:           <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 
 1938: 
 1939:               </b></p></td>
 1940: 
 1941:           <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 
 1942: 
 1943:               </b></p></td>
 1944: 
 1945:         </tr>
 1946: 
 1947:         <tr> 
 1948: 
 1949:           <td width=10 class="Normal"> <p>1</p></td>
 1950: 
 1951:           <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 
 1952: 
 1953:               acceleration if the two the string does not stretch. </p></td>
 1954: 
 1955:           <td width=38 bgcolor="white" class="Normal"> <p>1218 </p></td>
 1956: 
 1957:           <td width=35 bgcolor="white" class="Normal"> <p>335 </p></td>
 1958: 
 1959:         </tr>
 1960: 
 1961:         <tr> 
 1962: 
 1963:           <td width=10 class="Normal"> <p>2</p></td>
 1964: 
 1965:           <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 
 1966: 
 1967:               is greater than the tension of the string attached to the ceiling. 
 1968: 
 1969:             </p></td>
 1970: 
 1971:           <td width=38 bgcolor="white" class="Normal"> <p>541 </p></td>
 1972: 
 1973:           <td width=35 bgcolor="white" class="Normal"> <p>1012 </p></td>
 1974: 
 1975:         </tr>
 1976: 
 1977:         <tr> 
 1978: 
 1979:           <td width=10 class="Normal"> <p>3</p></td>
 1980: 
 1981:           <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 
 1982: 
 1983:               equals the two bottom tensions. (massless pulley) </p></td>
 1984: 
 1985:           <td width=38 bgcolor="white" class="Normal"> <p>1121 </p></td>
 1986: 
 1987:           <td width=35 bgcolor="white" class="Normal"> <p>432 </p></td>
 1988: 
 1989:         </tr>
 1990: 
 1991:         <tr> 
 1992: 
 1993:           <td width=10 class="Normal"> <p>4</p></td>
 1994: 
 1995:           <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 
 1996: 
 1997:               two masses are equal if mass of pulley=0 </p></td>
 1998: 
 1999:           <td width=38 bgcolor="white" class="Normal"> <p>962 </p></td>
 2000: 
 2001:           <td width=35 bgcolor="white" class="Normal"> <p>591 </p></td>
 2002: 
 2003:         </tr>
 2004: 
 2005:         <tr> 
 2006: 
 2007:           <td width=10 class="Normal"> <p>5</p></td>
 2008: 
 2009:           <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 
 2010: 
 2011:               upwards or downwards accordingly </p></td>
 2012: 
 2013:           <td width=38 bgcolor="white" class="Normal"> <p>693 </p></td>
 2014: 
 2015:           <td width=35 bgcolor="white" class="Normal"> <p>860 </p></td>
 2016: 
 2017:         </tr>
 2018: 
 2019:         <tr> 
 2020: 
 2021:           <td width=10 class="Normal"> <p>6</p></td>
 2022: 
 2023:           <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 
 2024: 
 2025:               downward </p></td>
 2026: 
 2027:           <td width=38 bgcolor="white" class="Normal"> <p>1203 </p></td>
 2028: 
 2029:           <td width=35 bgcolor="white" class="Normal"> <p>350 </p></td>
 2030: 
 2031:         </tr>
 2032: 
 2033:         <tr> 
 2034: 
 2035:           <td width=10 class="Normal">&nbsp; </td>
 2036: 
 2037:           <td width=357 class="Normal"> <p><b>From:[Wed Jan 30 00:23:11 2002] 
 2038: 
 2039:               To: [Mon Feb 4 23:59:59 2002]</b></p></td>
 2040: 
 2041:           <td width=38 class="Normal"> <p>5738</p></td>
 2042: 
 2043:           <td width=35 class="Normal"> <p>3563</p></td>
 2044: 
 2045:         </tr>
 2046: 
 2047:       </table>
 2048: 
 2049:       <p><span style='font-size:11.0pt'><b>Fig. 3.2.9</b></span><span
 2050: 
 2051: style='font-size:11.0pt'>: Table of student tries for Atwood Machine Problem according 
 2052: 
 2053:         to every concept in 2 times interval.</span></p>
 2054: 
 2055:       <p>In <b>Fig. 3.2.9</b><span style='font-weight:normal'>, number of studentsÕ 
 2056: 
 2057:         tries tables and the graphical chart are shown in 2 different time intervals. 
 2058: 
 2059:         An instructor would be able to check whether the students have more wrong 
 2060: 
 2061:         answers during the first days of opening the homework set, and how many 
 2062: 
 2063:         students have tried during the first or the second interval. Since the 
 2064: 
 2065:         problems are individualized he/she might be able to see how many students 
 2066: 
 2067:         have tried to solve the problem after communicating with each other and 
 2068: 
 2069:         understanding the concept.&nbsp; In Fig. 3.2. 10 the charts and tables 
 2070: 
 2071:         of studentsÕ tries are shown in 3 time intervals. So if the homework should 
 2072: 
 2073:         be done in one week, an instructor would be able to observe the distribution 
 2074: 
 2075:         of studentsÕ tries every day separately after choosing the 7 time intervals.</span></p>
 2076: 
 2077:       <p> <img width=151 height=150
 2078: 
 2079: src="Session%20Tw2_files/image144.png" v:shapes="_x0000_i1074"> <img width=151 height=150
 2080: 
 2081: src="Session%20Tw2_files/image146.png" v:shapes="_x0000_i1075"> <img width=149 height=150
 2082: 
 2083: src="Session%20Tw2_files/image148.png" v:shapes="_x0000_i1076"> </p>
 2084: 
 2085:       <table border=1 cellspacing=0 cellpadding=0>
 2086: 
 2087:         <tr> 
 2088: 
 2089:           <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 
 2090: 
 2091:               </b></p></td>
 2092: 
 2093:           <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 
 2094: 
 2095:               </b></p></td>
 2096: 
 2097:           <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 
 2098: 
 2099:               </b></p></td>
 2100: 
 2101:           <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 
 2102: 
 2103:               </b></p></td>
 2104: 
 2105:         </tr>
 2106: 
 2107:         <tr> 
 2108: 
 2109:           <td width=10 class="Normal"> <p>1</p></td>
 2110: 
 2111:           <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 
 2112: 
 2113:               acceleration if the two the string does not stretch. </p></td>
 2114: 
 2115:           <td width=38 bgcolor="white" class="Normal"> <p>31 </p></td>
 2116: 
 2117:           <td width=35 bgcolor="white" class="Normal"> <p>30 </p></td>
 2118: 
 2119:         </tr>
 2120: 
 2121:         <tr> 
 2122: 
 2123:           <td width=10 class="Normal"> <p>2</p></td>
 2124: 
 2125:           <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 
 2126: 
 2127:               is greater than the tension of the string attached to the ceiling. 
 2128: 
 2129:             </p></td>
 2130: 
 2131:           <td width=38 bgcolor="white" class="Normal"> <p>8 </p></td>
 2132: 
 2133:           <td width=35 bgcolor="white" class="Normal"> <p>53 </p></td>
 2134: 
 2135:         </tr>
 2136: 
 2137:         <tr> 
 2138: 
 2139:           <td width=10 class="Normal"> <p>3</p></td>
 2140: 
 2141:           <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 
 2142: 
 2143:               equals the two bottom tensions. (massless pulley) </p></td>
 2144: 
 2145:           <td width=38 bgcolor="white" class="Normal"> <p>44 </p></td>
 2146: 
 2147:           <td width=35 bgcolor="white" class="Normal"> <p>17 </p></td>
 2148: 
 2149:         </tr>
 2150: 
 2151:         <tr> 
 2152: 
 2153:           <td width=10 class="Normal"> <p>4</p></td>
 2154: 
 2155:           <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 
 2156: 
 2157:               two masses are equal if mass of pulley=0 </p></td>
 2158: 
 2159:           <td width=38 bgcolor="white" class="Normal"> <p>32 </p></td>
 2160: 
 2161:           <td width=35 bgcolor="white" class="Normal"> <p>29 </p></td>
 2162: 
 2163:         </tr>
 2164: 
 2165:         <tr> 
 2166: 
 2167:           <td width=10 class="Normal"> <p>5</p></td>
 2168: 
 2169:           <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 
 2170: 
 2171:               upwards or downwards accordingly </p></td>
 2172: 
 2173:           <td width=38 bgcolor="white" class="Normal"> <p>20 </p></td>
 2174: 
 2175:           <td width=35 bgcolor="white" class="Normal"> <p>41 </p></td>
 2176: 
 2177:         </tr>
 2178: 
 2179:         <tr> 
 2180: 
 2181:           <td width=10 class="Normal"> <p>6</p></td>
 2182: 
 2183:           <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 
 2184: 
 2185:               downward </p></td>
 2186: 
 2187:           <td width=38 bgcolor="white" class="Normal"> <p>42 </p></td>
 2188: 
 2189:           <td width=35 bgcolor="white" class="Normal"> <p>19 </p></td>
 2190: 
 2191:         </tr>
 2192: 
 2193:         <tr> 
 2194: 
 2195:           <td width=10 class="Normal">&nbsp; </td>
 2196: 
 2197:           <td width=357 class="Normal"> <p><b>From:[Thu Jan 24 00:46:22 2002] 
 2198: 
 2199:               To: [Mon Jan 28 00:30:53 2002]</b></p></td>
 2200: 
 2201:           <td width=38 class="Normal"> <p>177</p></td>
 2202: 
 2203:           <td width=35 class="Normal"> <p>189</p></td>
 2204: 
 2205:         </tr>
 2206: 
 2207:       </table>
 2208: 
 2209:       <table border=1 cellspacing=0 cellpadding=0>
 2210: 
 2211:         <tr> 
 2212: 
 2213:           <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 
 2214: 
 2215:               </b></p></td>
 2216: 
 2217:           <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 
 2218: 
 2219:               </b></p></td>
 2220: 
 2221:           <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 
 2222: 
 2223:               </b></p></td>
 2224: 
 2225:           <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 
 2226: 
 2227:               </b></p></td>
 2228: 
 2229:         </tr>
 2230: 
 2231:         <tr> 
 2232: 
 2233:           <td width=10 class="Normal"> <p>1</p></td>
 2234: 
 2235:           <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 
 2236: 
 2237:               acceleration if the two the string does not stretch. </p></td>
 2238: 
 2239:           <td width=38 bgcolor="white" class="Normal"> <p>692 </p></td>
 2240: 
 2241:           <td width=35 bgcolor="white" class="Normal"> <p>257 </p></td>
 2242: 
 2243:         </tr>
 2244: 
 2245:         <tr> 
 2246: 
 2247:           <td width=10 class="Normal"> <p>2</p></td>
 2248: 
 2249:           <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 
 2250: 
 2251:               is greater than the tension of the string attached to the ceiling. 
 2252: 
 2253:             </p></td>
 2254: 
 2255:           <td width=38 bgcolor="white" class="Normal"> <p>321 </p></td>
 2256: 
 2257:           <td width=35 bgcolor="white" class="Normal"> <p>628 </p></td>
 2258: 
 2259:         </tr>
 2260: 
 2261:         <tr> 
 2262: 
 2263:           <td width=10 class="Normal"> <p>3</p></td>
 2264: 
 2265:           <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 
 2266: 
 2267:               equals the two bottom tensions. (massless pulley) </p></td>
 2268: 
 2269:           <td width=38 bgcolor="white" class="Normal"> <p>690 </p></td>
 2270: 
 2271:           <td width=35 bgcolor="white" class="Normal"> <p>259 </p></td>
 2272: 
 2273:         </tr>
 2274: 
 2275:         <tr> 
 2276: 
 2277:           <td width=10 class="Normal"> <p>4</p></td>
 2278: 
 2279:           <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 
 2280: 
 2281:               two masses are equal if mass of pulley=0 </p></td>
 2282: 
 2283:           <td width=38 bgcolor="white" class="Normal"> <p>590 </p></td>
 2284: 
 2285:           <td width=35 bgcolor="white" class="Normal"> <p>359 </p></td>
 2286: 
 2287:         </tr>
 2288: 
 2289:         <tr> 
 2290: 
 2291:           <td width=10 class="Normal"> <p>5</p></td>
 2292: 
 2293:           <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 
 2294: 
 2295:               upwards or downwards accordingly </p></td>
 2296: 
 2297:           <td width=38 bgcolor="white" class="Normal"> <p>399 </p></td>
 2298: 
 2299:           <td width=35 bgcolor="white" class="Normal"> <p>550 </p></td>
 2300: 
 2301:         </tr>
 2302: 
 2303:         <tr> 
 2304: 
 2305:           <td width=10 class="Normal"> <p>6</p></td>
 2306: 
 2307:           <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 
 2308: 
 2309:               downward </p></td>
 2310: 
 2311:           <td width=38 bgcolor="white" class="Normal"> <p>703 </p></td>
 2312: 
 2313:           <td width=35 bgcolor="white" class="Normal"> <p>246 </p></td>
 2314: 
 2315:         </tr>
 2316: 
 2317:         <tr> 
 2318: 
 2319:           <td width=10 class="Normal">&nbsp; </td>
 2320: 
 2321:           <td width=357 class="Normal"> <p><b>From:[Mon Jan 28 00:30:54 2002] 
 2322: 
 2323:               To: [Fri Feb 1 00:15:25 2002]</b></p></td>
 2324: 
 2325:           <td width=38 class="Normal"> <p>3395</p></td>
 2326: 
 2327:           <td width=35 class="Normal"> <p>2281</p></td>
 2328: 
 2329:         </tr>
 2330: 
 2331:       </table>
 2332: 
 2333:       <table border=1 cellspacing=0 cellpadding=0>
 2334: 
 2335:         <tr> 
 2336: 
 2337:           <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 
 2338: 
 2339:               </b></p></td>
 2340: 
 2341:           <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 
 2342: 
 2343:               </b></p></td>
 2344: 
 2345:           <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 
 2346: 
 2347:               </b></p></td>
 2348: 
 2349:           <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 
 2350: 
 2351:               </b></p></td>
 2352: 
 2353:         </tr>
 2354: 
 2355:         <tr> 
 2356: 
 2357:           <td width=10 class="Normal"> <p>1</p></td>
 2358: 
 2359:           <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 
 2360: 
 2361:               acceleration if the two the string does not stretch. </p></td>
 2362: 
 2363:           <td width=38 bgcolor="white" class="Normal"> <p>619 </p></td>
 2364: 
 2365:           <td width=35 bgcolor="white" class="Normal"> <p>147 </p></td>
 2366: 
 2367:         </tr>
 2368: 
 2369:         <tr> 
 2370: 
 2371:           <td width=10 class="Normal"> <p>2</p></td>
 2372: 
 2373:           <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 
 2374: 
 2375:               is greater than the tension of the string attached to the ceiling. 
 2376: 
 2377:             </p></td>
 2378: 
 2379:           <td width=38 bgcolor="white" class="Normal"> <p>256 </p></td>
 2380: 
 2381:           <td width=35 bgcolor="white" class="Normal"> <p>510 </p></td>
 2382: 
 2383:         </tr>
 2384: 
 2385:         <tr> 
 2386: 
 2387:           <td width=10 class="Normal"> <p>3</p></td>
 2388: 
 2389:           <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 
 2390: 
 2391:               equals the two bottom tensions. (massless pulley) </p></td>
 2392: 
 2393:           <td width=38 bgcolor="white" class="Normal"> <p>529 </p></td>
 2394: 
 2395:           <td width=35 bgcolor="white" class="Normal"> <p>237 </p></td>
 2396: 
 2397:         </tr>
 2398: 
 2399:         <tr> 
 2400: 
 2401:           <td width=10 class="Normal"> <p>4</p></td>
 2402: 
 2403:           <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 
 2404: 
 2405:               two masses are equal if mass of pulley=0 </p></td>
 2406: 
 2407:           <td width=38 bgcolor="white" class="Normal"> <p>465 </p></td>
 2408: 
 2409:           <td width=35 bgcolor="white" class="Normal"> <p>301 </p></td>
 2410: 
 2411:         </tr>
 2412: 
 2413:         <tr> 
 2414: 
 2415:           <td width=10 class="Normal"> <p>5</p></td>
 2416: 
 2417:           <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 
 2418: 
 2419:               upwards or downwards accordingly </p></td>
 2420: 
 2421:           <td width=38 bgcolor="white" class="Normal"> <p>338 </p></td>
 2422: 
 2423:           <td width=35 bgcolor="white" class="Normal"> <p>428 </p></td>
 2424: 
 2425:         </tr>
 2426: 
 2427:         <tr> 
 2428: 
 2429:           <td width=10 class="Normal"> <p>6</p></td>
 2430: 
 2431:           <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 
 2432: 
 2433:               downward </p></td>
 2434: 
 2435:           <td width=38 bgcolor="white" class="Normal"> <p>609 </p></td>
 2436: 
 2437:           <td width=35 bgcolor="white" class="Normal"> <p>157 </p></td>
 2438: 
 2439:         </tr>
 2440: 
 2441:         <tr> 
 2442: 
 2443:           <td width=10 class="Normal">&nbsp; </td>
 2444: 
 2445:           <td width=357 class="Normal"> <p><b>From:[Fri Feb 1 00:15:26 2002] To: 
 2446: 
 2447:               [Mon Feb 4 23:59:59 2002]</b></p></td>
 2448: 
 2449:           <td width=38 class="Normal"> <p>2816</p></td>
 2450: 
 2451:           <td width=35 class="Normal"> <p>1775</p></td>
 2452: 
 2453:         </tr>
 2454: 
 2455:       </table>
 2456: 
 2457:       <p><b>Fig. 3.2. 10</b><span style='font-weight:normal'>: Table of student 
 2458: 
 2459:         tries for Atwood Machine Problem according to every concept in 3 times 
 2460: 
 2461:         interval.</span></p>
 2462: 
 2463:       <h3><a name="_Toc421867142">Student Assessment</a></h3>
 2464: 
 2465:       <p class=MsoBodyText2><span style='font-size:11.0pt'>This option provides 
 2466: 
 2467:         some reports about the current educational situation of every student 
 2468: 
 2469:         as you see in <b>Fig. 3.2.11</b></span><span style='font-size:11.0pt'>.&nbsp; 
 2470: 
 2471:         A ÔYÕ show that the student has solved the problem and ÔNÕ shows his/her 
 2472: 
 2473:         failure.&nbsp; A Ô-Ô denotes a unattempted problem. The numbers in the 
 2474: 
 2475:         right column show the total number of tries of the student in solving 
 2476: 
 2477:         the corresponding problems.</span></p>
 2478: 
 2479:       <form>
 2480: 
 2481:         <div style='border:solid windowtext .5pt;padding:1.0pt 0in 1.0pt 4.0pt'> 
 2482: 
 2483:           <p style='border:none;padding:0in;'>Total number of students : 263<br>
 2484: 
 2485:             <br>
 2486: 
 2487:             <img width=68 height=23
 2488: 
 2489: src="Session%20Tw2_files/image151.png" v:shapes="_x0000_i1077"> <br>
 2490: 
 2491:             <b>Select &nbsp; Map &nbsp; &nbsp; </b><span style='font-weight:normal'> 
 2492: 
 2493:             <img width=215 height=18
 2494: 
 2495: src="Session%20Tw2_files/image154.png" v:shapes="_x0000_i1078"> &nbsp;&nbsp;&nbsp;<br>
 2496: 
 2497:             </span><b>Select Section</b><span style='font-weight:normal'> <img width=89 height=18
 2498: 
 2499: src="Session%20Tw2_files/image157.png" v:shapes="_x0000_i1079"> <br>
 2500: 
 2501:             </span><b>Select Student</b><span style='font-weight:normal'> <img width=89 height=18
 2502: 
 2503: src="Session%20Tw2_files/image160.png" v:shapes="_x0000_i1080"> <br>
 2504: 
 2505:             <br>
 2506: 
 2507:             </span></p>
 2508: 
 2509:           <p style='border:none;padding:0in;'> <img width=93 height=23
 2510: 
 2511: src="Session%20Tw2_files/image163.png" v:shapes="_x0000_i1081"> </p>
 2512: 
 2513:         </div>
 2514: 
 2515:         <table border=1 cellspacing=0 cellpadding=0>
 2516: 
 2517:           <tr> 
 2518: 
 2519:             <td width=21 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b># 
 2520: 
 2521:                 </b></p></td>
 2522: 
 2523:             <td width=177 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b>Set 
 2524: 
 2525:                 Title </b></p></td>
 2526: 
 2527:             <td width=122 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b>Results 
 2528: 
 2529:                 </b></p></td>
 2530: 
 2531:             <td width=153 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b>Tries 
 2532: 
 2533:                 </b></p></td>
 2534: 
 2535:           </tr>
 2536: 
 2537:           <tr> 
 2538: 
 2539:             <td width=21 class="Normal"> <p style='line-height:150%'>1 </p></td>
 2540: 
 2541:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/phy183.sequence 
 2542: 
 2543:               </p></td>
 2544: 
 2545:             <td width=122 class="Normal">&nbsp; </td>
 2546: 
 2547:             <td width=153 class="Normal">&nbsp; </td>
 2548: 
 2549:           </tr>
 2550: 
 2551:           <tr> 
 2552: 
 2553:             <td width=21 class="Normal"> <p style='line-height:150%'>2 </p></td>
 2554: 
 2555:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap1/calckap1.sequence 
 2556: 
 2557:               </p></td>
 2558: 
 2559:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYY 
 2560: 
 2561:                 </span></p></td>
 2562: 
 2563:             <td width=153 class="Normal"> <p style='line-height:150%'>1,1,1,2,1,1,1,1,1,7,9,3,2</p></td>
 2564: 
 2565:           </tr>
 2566: 
 2567:           <tr> 
 2568: 
 2569:             <td width=21 class="Normal"> <p style='line-height:150%'>3 </p></td>
 2570: 
 2571:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap2/calckap2.sequence 
 2572: 
 2573:               </p></td>
 2574: 
 2575:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYNYYYYNNYYYYYYYY 
 2576: 
 2577:                 </span></p></td>
 2578: 
 2579:             <td width=153 class="Normal"> <p style='line-height:150%'>10,1,0,1,1,2,1,4,5,1,1,1,3,2,1,1,1</p></td>
 2580: 
 2581:           </tr>
 2582: 
 2583:           <tr> 
 2584: 
 2585:             <td width=21 class="Normal"> <p style='line-height:150%'>4 </p></td>
 2586: 
 2587:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap3/calckap3.sequence 
 2588: 
 2589:               </p></td>
 2590: 
 2591:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYNYYYYYYYYYY 
 2592: 
 2593:                 </span></p></td>
 2594: 
 2595:             <td width=153 class="Normal"> <p style='line-height:150%'>4,3,5,1,1,8,2,3,20,1,1,1,1,1,2,3,2,2,3</p></td>
 2596: 
 2597:           </tr>
 2598: 
 2599:           <tr> 
 2600: 
 2601:             <td width=21 class="Normal"> <p style='line-height:150%'>5 </p></td>
 2602: 
 2603:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap4/calckap4.sequence 
 2604: 
 2605:               </p></td>
 2606: 
 2607:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>NYYYYYYYYYYYYYYY 
 2608: 
 2609:                 </span></p></td>
 2610: 
 2611:             <td width=153 class="Normal"> <p style='line-height:150%'>20,1,1,1,3,3,2,3,4,2,3,2,1,1,2,5</p></td>
 2612: 
 2613:           </tr>
 2614: 
 2615:           <tr> 
 2616: 
 2617:             <td width=21 class="Normal"> <p style='line-height:150%'>6 </p></td>
 2618: 
 2619:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap5/calckap5.sequence 
 2620: 
 2621:               </p></td>
 2622: 
 2623:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYY-YY 
 2624: 
 2625:                 </span></p></td>
 2626: 
 2627:             <td width=153 class="Normal"> <p style='line-height:150%'>5,2,1,9,12,1,3,12,1,2,1,,1,3</p></td>
 2628: 
 2629:           </tr>
 2630: 
 2631:           <tr> 
 2632: 
 2633:             <td width=21 class="Normal"> <p style='line-height:150%'>7 </p></td>
 2634: 
 2635:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap6/calckap6.sequence 
 2636: 
 2637:               </p></td>
 2638: 
 2639:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYYY 
 2640: 
 2641:                 </span></p></td>
 2642: 
 2643:             <td width=153 class="Normal"> <p style='line-height:150%'>3,2,4,2,1,1,2,1,1,9,2,3,2,2</p></td>
 2644: 
 2645:           </tr>
 2646: 
 2647:           <tr> 
 2648: 
 2649:             <td width=21 class="Normal"> <p style='line-height:150%'>8 </p></td>
 2650: 
 2651:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap7/calckap7.sequence 
 2652: 
 2653:               </p></td>
 2654: 
 2655:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYYYYYYY 
 2656: 
 2657:                 </span></p></td>
 2658: 
 2659:             <td width=153 class="Normal"> <p style='line-height:150%'>4,1,3,1,10,4,1,1,2,1,1,2,1,2,1,3,1,3</p></td>
 2660: 
 2661:           </tr>
 2662: 
 2663:           <tr> 
 2664: 
 2665:             <td width=21 class="Normal"> <p style='line-height:150%'>9 </p></td>
 2666: 
 2667:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap8/calckap8.sequence 
 2668: 
 2669:               </p></td>
 2670: 
 2671:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYYYY 
 2672: 
 2673:                 </span></p></td>
 2674: 
 2675:             <td width=153 class="Normal"> <p style='line-height:150%'>4,3,1,2,3,3,4,3,3,1,1,4,1,1,7</p></td>
 2676: 
 2677:           </tr>
 2678: 
 2679:           <tr> 
 2680: 
 2681:             <td width=21 class="Normal"> <p style='line-height:150%'>10 </p></td>
 2682: 
 2683:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap9/calckap9.sequence 
 2684: 
 2685:               </p></td>
 2686: 
 2687:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYN-NYYNY 
 2688: 
 2689:                 </span></p></td>
 2690: 
 2691:             <td width=153 class="Normal"> <p style='line-height:150%'>1,1,1,2,1,,2,2,1,6,4</p></td>
 2692: 
 2693:           </tr>
 2694: 
 2695:           <tr> 
 2696: 
 2697:             <td width=21 class="Normal"> <p style='line-height:150%'>11 </p></td>
 2698: 
 2699:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap10/calckap10.sequence 
 2700: 
 2701:               </p></td>
 2702: 
 2703:             <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYY 
 2704: 
 2705:                 </span></p></td>
 2706: 
 2707:             <td width=153 class="Normal"> <p style='line-height:150%'>2,1,1,1,1,1,1,1,1,1,1,1</p></td>
 2708: 
 2709:           </tr>
 2710: 
 2711:           <tr> 
 2712: 
 2713:             <td width=21 class="Normal"> <p style='line-height:150%'>12 </p></td>
 2714: 
 2715:             <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap11/calckap11.sequence 
 2716: 
 2717:               </p></td>
 2718: 
 2719:             <td width=122 class="Normal"> <p style='line-height:150%'>----------------- 
 2720: 
 2721:               </p></td>
 2722: 
 2723:             <td width=153 class="Normal"> <p style='line-height:150%'>0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0</p></td>
 2724: 
 2725:           </tr>
 2726: 
 2727:         </table>
 2728: 
 2729:         <p><span style='layout-grid-mode:line'><b>Fig. 3.2. 5</b></span><span
 2730: 
 2731: style='layout-grid-mode:line'>: A sample of a student homework results and tries</span></p>
 2732: 
 2733:         <p><span style='font-size:11.0pt;layout-grid-mode:line'>We plan to present 
 2734: 
 2735:           several other reports in this page as well. Some student classification 
 2736: 
 2737:           reports also would be depicted here.</span></p>
 2738: 
 2739:         <p><span style='font-size:11.0pt;layout-grid-mode:line'>In Òproblem statsÓ 
 2740: 
 2741:           and Òstudent assessmentÓ pages, an instructor can limit the range of 
 2742: 
 2743:           his/her information to a particular section or a particular homework 
 2744: 
 2745:           set.&nbsp; So, an instructor would be able to load the statistics table 
 2746: 
 2747:           or student tries in Òstudent assessmentÓ table to a particular map or 
 2748: 
 2749:           section. </span><span style='font-size:11.0pt'>After changing the map 
 2750: 
 2751:           or section, he/she would be able to see the results via the recalculating 
 2752: 
 2753:           the computation on that page. </span><span style='font-size:11.0pt;
 2754: 
 2755: font-family:Arial;layout-grid-mode:line'></span></p>
 2756: 
 2757:         <h3><a name="_Toc421867143"><span style='layout-grid-mode:line'>Future 
 2758: 
 2759:           work, using activity.log to classify the students</span></a></h3>
 2760: 
 2761:         <p><span style='font-size:11.0pt'>The problem is whether we can find the 
 2762: 
 2763:           good features for <i>classifying</i></span><span style='font-size:
 2764: 
 2765: 11.0pt'> students? If so, we would be able to identify a <i>predictor</i></span><span
 2766: 
 2767: style='font-size:11.0pt'> for any individual student after doing a couple of homework 
 2768: 
 2769:           sets. With this information, we would be able to <i>help</i></span><span
 2770: 
 2771: style='font-size:11.0pt'> a student use the resources better.&nbsp; <span style='layout-grid-mode:line'>As 
 2772: 
 2773:           the first step of data mining stuff w</span>e want to make an initial 
 2774: 
 2775:           effort to classify the students. </span></p>
 2776: 
 2777:         <p><span style='font-size:11.0pt'>Preprocessing and finding the useful 
 2778: 
 2779:           student data and segmenting may be a difficult task. Internally, one 
 2780: 
 2781:           part of this data is stored in a student directory:</span></p>
 2782: 
 2783:         <p><span style='font-size:11.0pt'>&nbsp;</span><span style='font-size:11.0pt;font-family:"Courier New"'>/</span><span
 2784: 
 2785: style='font-size:9.0pt;font-family:"Courier New"'>home/httpd/lonUsers/<i>domain</i></span><span
 2786: 
 2787: style='font-size:9.0pt;font-family:"Courier New"'>/<i>1st.char</i></span><span
 2788: 
 2789: style='font-size:9.0pt;font-family:"Courier New"'>/<i>2nd.char</i></span><span
 2790: 
 2791: style='font-size:9.0pt;font-family:"Courier New"'>/<i>3rd.char</i></span><span
 2792: 
 2793: style='font-size:9.0pt;font-family:"Courier New"'>/<i>username</i></span><span
 2794: 
 2795: style='font-size:9.0pt;font-family:"Courier New"'>/</span></p>
 2796: 
 2797:         <p class=MsoHeader><span style='font-size:11.0pt'>For example: /home/httpd/lonUsers/msu/m/i/n/minaeibi/</span></p>
 2798: 
 2799:         <p><span style='font-size:11.0pt;layout-grid-mode:line'>Since spring semester 
 2800: 
 2801:           2002, LON-CAPA has logged every activity of every student who has used</span><span style='font-size:11.0pt'> 
 2802: 
 2803:           online educational resources and their recorded paths through the web. 
 2804: 
 2805:           So another part of data is stored in Òactivity.logÓ which is located 
 2806: 
 2807:           in course directory.</span></p>
 2808: 
 2809:         <p><span style='font-size:11.0pt'>The student data restored from .db files 
 2810: 
 2811:           in student directory and is fetched into a hash table. The special hash 
 2812: 
 2813:           keys Ò<i>keysÓ</i></span><span style='font-size:11.0pt'>, Ò<i>versionÓ</i></span><span
 2814: 
 2815: style='font-size:11.0pt'> and Ò<i>timestampÓ</i></span><span style='font-size:
 2816: 
 2817: 11.0pt'> were evaluated from the hash. The <i>version</i></span><span
 2818: 
 2819: style='font-size:11.0pt'> will be equal to the total number of versions of the 
 2820: 
 2821:           data that have been stored. The <i>timestamp</i></span><span style='font-size:
 2822: 
 2823: 11.0pt'> attribute is the UNIX time the data was stored. <i>keys</i></span><span
 2824: 
 2825: style='font-size:11.0pt'> is available in every historical section to list which 
 2826: 
 2827:           keys were added or changed at a specific historical revision of a hash. 
 2828: 
 2829:           We extract the features from a structured homework data, which is stored 
 2830: 
 2831:           as particular URLÕs. For example the result of solving homeworkÕs problem 
 2832: 
 2833:           by students could be extracted from </span><span style='font-size:9.0pt;
 2834: 
 2835: font-family:"Courier New"'><i>resource.partid.solved</i></span><span
 2836: 
 2837: style='font-size:11.0pt;font-family:"Courier New"'>, </span><span
 2838: 
 2839: style='font-size:11.0pt'>the total number of the students for solving the problem 
 2840: 
 2841:           could be extracted from </span><span style='font-size:9.0pt;font-family:
 2842: 
 2843: "Courier New"'><i>resource.partid.tries</i></span><span style='font-size:11.0pt;
 2844: 
 2845: font-family:"Courier New"'>,</span><span style='font-size:11.0pt'> and so forth.</span></p>
 2846: 
 2847:         <p><span style='font-size:11.0pt'>All data stored in activity.log includes 
 2848: 
 2849:           <i>user name</i></span><span style='font-size:11.0pt'>, <i>time</i></span><span
 2850: 
 2851: style='font-size:11.0pt'> and <i>resource URL</i></span><span style='font-size:
 2852: 
 2853: 11.0pt'>. We can divide these data into six types of URLs, listed below, according 
 2854: 
 2855:           to their importance for data mining: </span></p>
 2856: 
 2857:         <p style='line-height:150%'><span style='font-size:11.0pt'>1. <b><u>problems:</u></b></span><span
 2858: 
 2859: style='font-size:11.0pt'> are the most useful data. i.e.<b><u> </u></b></span><span
 2860: 
 2861: style='font-size:7.0pt'><b><u>msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</u></b></span> 
 2862: 
 2863:           <br>
 2864: 
 2865:           <span style='font-size:11.0pt'>2. <b>html pages</b></span><span
 2866: 
 2867: style='font-size:11.0pt'> to those are some links in the problems. i.e. </span><span
 2868: 
 2869: style='font-size:7.0pt'><b>msu/mmp/kap14/kap14.sequence___5___msu/mmp/kap14/cd396.htm</b></span> 
 2870: 
 2871:           <br>
 2872: 
 2873:           <span style='font-size:11.0pt'>3. <i>the images</i></span><span
 2874: 
 2875: style='font-size:11.0pt'>, which are loaded in above html pages. i.e. <i>/res/msu/mmp/kap14/picts/backsoun.gif</i></span><span
 2876: 
 2877: style='font-size:11.0pt'> .</span></p>
 2878: 
 2879:         <p style='line-height:150%'><span style='font-size:11.0pt'>4. <u>loncapa 
 2880: 
 2881:           routines</u>: i.e. <u>/adm/navmaps,</u>&nbsp; or&nbsp; <u>/adm/roles,</u> 
 2882: 
 2883:           or&nbsp; <u>/adm/logout</u>.<br>
 2884: 
 2885:           5. <i><u>Posted data</u></i></span><span style='font-size:11.0pt'> by 
 2886: 
 2887:           students: i.e. <i><u>resource.0.11.submission=27.11</u></i></span><span style='font-size:
 2888: 
 2889: 11.0pt'> <br>
 2890: 
 2891:           6. remote control gif files: i.e.: /res/adm/pages/v.gif </span></p>
 2892: 
 2893:         <p>So, activity.log usually grows fast, when students have more access 
 2894: 
 2895:           to the educational resources. We have brought a sample of different 
 2896: 
 2897:           types of data which are logged in activity.log after a preprocessing 
 2898: 
 2899:           phase as follows:&nbsp; </p>
 2900: 
 2901:         <p><u>144) 1010955846: studentX --&gt; /adm/navmaps</u> <br>
 2902: 
 2903:           <i>145) 1010955205: studentX --&gt; /res/msu/mmp/kap14/picts/beta_eqn.gif</i><span
 2904: 
 2905: style='font-style:normal'> <br>
 2906: 
 2907:           <u>146) 1010955685: studentX --&gt; /adm/navmaps</u> <br>
 2908: 
 2909:           <u>147) 1010955988: studentX --&gt; /adm/navmaps</u> <br>
 2910: 
 2911:           </span><span style='font-size:8.0pt'><b>148) 1010955998: studentX --&gt; 
 2912: 
 2913:           msu/mmp/kap14/kap14.sequence___5___msu/mmp/kap14/cd396.htm</b></span> 
 2914: 
 2915:           <br>
 2916: 
 2917:           <i>149) 1010955999: studentX --&gt; /res/msu/mmp/kap14/picts/velocity_eqn3.gif</i> 
 2918: 
 2919:           <br>
 2920: 
 2921:           <i>150) 1010956000: studentX --&gt; /res/msu/mmp/kap14/picts/time_eqn.gif</i><span style='font-style:normal'> 
 2922: 
 2923:           <br>
 2924: 
 2925:           151) 1010954609: studentX --&gt; /res/adm/pages/grds.gif <br>
 2926: 
 2927:           </span><i>152) 1010954611: studentX --&gt; /res/msu/mmp/wordproc.gif</i><span
 2928: 
 2929: style='font-style:normal'> <br>
 2930: 
 2931:           153) 1010954626: studentX --&gt; /res/adm/pages/i.gif <br>
 2932: 
 2933:           </span><span style='font-size:8.0pt'><b>154) 1010955717: studentX --&gt; 
 2934: 
 2935:           msu/mmp/kap14/kap14.sequence___1___msu/mmp/kap14/cd392.htm</b></span> 
 2936: 
 2937:           <br>
 2938: 
 2939:           <i>155) 1010955717: studentX --&gt; /res/msu/mmp/kap14/picts/backsoun.gif</i> 
 2940: 
 2941:           <br>
 2942: 
 2943:           <span style='font-size:8.0pt'><b>156) 1010955920: studentX --&gt; msu/mmp/kap14/kap14.sequence___3___msu/mmp/kap14/cd394.htm</b></span> 
 2944: 
 2945:           <br>
 2946: 
 2947:           <i>157) 1010955921: studentX --&gt; /res/msu/mmp/gifs/demo.gif</i><span
 2948: 
 2949: style='font-style:normal'> <br>
 2950: 
 2951:           158) 1010956113: studentX --&gt; /res/adm/pages/v.gif <br>
 2952: 
 2953:           159) 1010954629: studentX --&gt; /res/adm/pages/eval.gif <br>
 2954: 
 2955:           160) 1010954631: studentX --&gt; /res/adm/pages/back.gif <br>
 2956: 
 2957:           161) 1010954632: studentX --&gt; /res/adm/pages/b.gif <br>
 2958: 
 2959:           162) 1010954633: studentX --&gt; /res/adm/pages/r.gif <br>
 2960: 
 2961:           </span><span style='font-size:9.0pt'><b>163) 1010955754:</b></span><b> 
 2962: 
 2963:           studentX --&gt; msu/mmp/kap14/kap14.sequence___2___msu/mmp/kap14/cd393.htm</b><span
 2964: 
 2965: style='font-weight:normal'> <br>
 2966: 
 2967:           <i>164) 1010955756: studentX --&gt; /res/msu/mmp/kap14/picts/asound.jpg</i></span> 
 2968: 
 2969:           <br>
 2970: 
 2971:           <i>165) 1010955762: studentX --&gt; /res/msu/mmp/kap14/picts/sensor.jpg</i> 
 2972: 
 2973:           <br>
 2974: 
 2975:           <i>166) 1010955999: studentX --&gt; /res/msu/mmp/gifs2/example.gif</i><span
 2976: 
 2977: style='font-style:normal'> <br>
 2978: 
 2979:           173) 1010955687: studentX --&gt; /res/adm/pages/u.gif <br>
 2980: 
 2981:           174) 1010955688: studentX --&gt; /res/adm/pages/s.gif <br>
 2982: 
 2983:           175) 1010955688: studentX --&gt; /res/adm/pages/e.gif <br>
 2984: 
 2985:           </span><span style='font-size:9.0pt'><b>176) 1010956528:</b></span><b> 
 2986: 
 2987:           studentX</b><span
 2988: 
 2989: style='font-size:9.0pt'><b> --&gt; msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</b></span> 
 2990: 
 2991:           <br>
 2992: 
 2993:           <i><u>177) Sent data</u></i> <br>
 2994: 
 2995:           <span style='font-size:9.0pt'><b><u>178) 1010956536: </u></b></span><b><u>studentX</u></b><span
 2996: 
 2997: style='font-size:9.0pt'><u><b> --&gt;</b></u></span><b><u> </u></b><span
 2998: 
 2999: style='font-size:9.0pt'><u><b>msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</b></u></span> 
 3000: 
 3001:           <br>
 3002: 
 3003:           <i><u>179) Sent data HWVAL11=27.11</u></i> <br>
 3004: 
 3005:           <span style='font-size:9.0pt'><b><u>180) 1010956536:</u></b></span><b><u> 
 3006: 
 3007:           studentX</u></b><span style='font-size:9.0pt'><u><b> --&gt;</b></u></span><b><u> 
 3008: 
 3009:           </u></b><span style='font-size:9.0pt'><u><b>msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</b></u></span> 
 3010: 
 3011:           <br>
 3012: 
 3013:           <i><u>181) Sent data resource.0.11.submission=27.11</u></i> <br>
 3014: 
 3015:           <span style='font-size:9.0pt'><b><u>182) 1010956702: studentX --&gt; 
 3016: 
 3017:           msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</u></b></span> 
 3018: 
 3019:           <br>
 3020: 
 3021:           <span style='font-size:11.0pt'><i><u>183) Sent data</u></i></span><span
 3022: 
 3023: style='font-size:11.0pt'> <br>
 3024: 
 3025:           <i>184) 1010955921: studentX --&gt; /res/msu/mmp/kap14/picts/areal.gif</i></span><span
 3026: 
 3027: style='font-size:11.0pt'> <br>
 3028: 
 3029:           185) 1010955731: studentX --&gt; /res/adm/pages/n.gif <br>
 3030: 
 3031:           <br>
 3032: 
 3033:           </span></p>
 3034: 
 3035:         <p class=H5> <span
 3036: 
 3037: style='font-size:11.0pt;font-family:Symbol;font-weight:normal'>á<span
 3038: 
 3039: style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span> 
 3040: 
 3041:           <span
 3042: 
 3043: style='font-size:11.0pt;font-family:Arial'>Feature Extraction</span></p>
 3044: 
 3045:         <p class=MsoBodyText2>From these two types of student data which are stored 
 3046: 
 3047:           by the LON-CAPA system, the features may be considered for classifying 
 3048: 
 3049:           the students, are as follows: </p>
 3050: 
 3051:         <p> 1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3052: 
 3053:           </span> Total number of correct answers. </p>
 3054: 
 3055:         <p> 2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3056: 
 3057:           </span> Total number of tries for doing homework. </p>
 3058: 
 3059:         <p> 3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3060: 
 3061:           </span> Time at which the student got the problem correct. Usually better 
 3062: 
 3063:           students get the homework completed earlier.</p>
 3064: 
 3065:         <p> 4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3066: 
 3067:           </span> Reading the material before attempting homework vs. attempting 
 3068: 
 3069:           first and then read up on it.</p>
 3070: 
 3071:         <p> 5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3072: 
 3073:           </span> Submitting a lot of attempts in a short amount of time without 
 3074: 
 3075:           looking up material in between, vs. those giving it one try, reading 
 3076: 
 3077:           up, submitting another one, etc.</p>
 3078: 
 3079:         <p> 6.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3080: 
 3081:           </span> Getting the problem right on the first try, vs. those with high 
 3082: 
 3083:           number of tries.</p>
 3084: 
 3085:         <p> 7.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3086: 
 3087:           </span> Giving up on a problem versus students continuing trying up 
 3088: 
 3089:           to the deadline.</p>
 3090: 
 3091:         <p> 8.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 
 3092: 
 3093:           </span> Participating in the communication mechanisms, vs. those working 
 3094: 
 3095:           alone.</p>
 3096: 
 3097:         <p><br>
 3098: 
 3099:           It might be interesting to group students with time of the first log 
 3100: 
 3101:           on (beginning of assignment, middle of the week, last minute) and correlate 
 3102: 
 3103:           this with the number of tries or number of solved problems. A student 
 3104: 
 3105:           who gets all correct answers will not necessarily be in the successful 
 3106: 
 3107:           group if they took an average of 5 tries per problem, but it should 
 3108: 
 3109:           be verified from this research. </p>
 3110: 
 3111:         <p>We hope to find similar patterns of use in the data gathered from LON-CAPA, 
 3112: 
 3113:           and eventually be able to make predictions as to the most-beneficial 
 3114: 
 3115:           course of studies for each learner based on a limited number of variables 
 3116: 
 3117:           for each individual student. Based on the current state of the learner 
 3118: 
 3119:           in a learning sequence, the system could then make suggestions to the 
 3120: 
 3121:           learner as to how to proceed. </p>
 3122: 
 3123:       </form>
 3124: 
 3125:       <br
 3126: 
 3127: clear=ALL style='page-break-before:always;'>
 3128: 
 3129:       <div class=Section2> </div></div>
 3130: 
 3131:       <br clear=all>
 3132: 
 3133:       <hr align=left size=1 width="33%">
 3134: 
 3135:       <div id=ftn1> 
 3136: 
 3137:         <p class=MsoFootnoteText><a href="#_ftnref1"
 3138: 
 3139: name="_ftn1" title=""><span class=MsoFootnoteReference> [1] </span></a> If instructor 
 3140: 
 3141:           is going to port the statistics table data to Excel, he/she can select 
 3142: 
 3143:           the checkbox ÒOutput CSV formatÓ at top of the statistics table.</p>
 3144: 
 3145:       </div>
 3146: 
 3147:       <div id=ftn2> 
 3148: 
 3149:         <p class=MsoFootnoteText><a href="#_ftnref2"
 3150: 
 3151: name="_ftn2" title=""><span class=MsoFootnoteReference> [2] </span></a>&nbsp; 
 3152: 
 3153:           This name has been got from administration office of Michigan State 
 3154: 
 3155:           University for evaluating the examsÕ problem. Here we expanded this 
 3156: 
 3157:           expression to homework problems as well.</p>
 3158: 
 3159:       </div></span></span></span></span></span>
 3160: 
 3161:       
 3162: 
 3163: </body>
 3164: 
 3165: </html>
 3166: 

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