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<title>Session Two: Statistics/Chart (Behrouz)</title>

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<body bgcolor=#FFFFFF link=blue vlink=purple class="Normal" lang=EN-US><div class=Section1> 

<h2>Session Two: Statistics/Chart (Behrouz)</h2>

<p><span style='layout-grid-mode:line'>In LON-CAPA, we are involved with two kinds 

  of large data sets: </span></p>

<p> <span style='layout-grid-mode:line'>1)<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span

style='layout-grid-mode:line'>Educational resources such as </span>web pages, 

  demonstrations, simulations, and individualized problems designed for use on 

  homework assignments, quizzes, and examinations<span style='layout-grid-mode:

line'>; </span></p>

<p> <span style='layout-grid-mode:line'>2)<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span

style='layout-grid-mode:line'>Information about users who create, modify, assess, 

  or use these resources. </span></p>

<p><span style='layout-grid-mode:line'>Usually, instructors/ course coordinators 

  wish to assess the studentsÕ educational situation or evaluate the problems 

  have bee presented in the course, after the students used the educational materials. 

  There are two main modules in LON_CAPA that provide the statistical information 

  for instructors/ course-coordinators: <i>lonchart.pm </i></span><span style='layout-grid-mode:line'>and 

  <i>lonstatistics.pm</i></span><span

style='layout-grid-mode:line'>. When an instructorÕs access is authorized, he/she 

  can find useful reports about the course, regarding maps, problems included 

  in each map, and the students who tried to solve the problems. When an instructor 

  selects a course, he/she has two buttons in remote control to obtain the statistical 

  information: Ò<i>chart</i></span><span style='layout-grid-mode:

line'>Ó or Ò<i>stat</i></span><span style='layout-grid-mode:line'>Ó button.</span></p>

<h3 style='line-height:150%'><a name="_Toc421867139"><span style='layout-grid-mode:

line'>lonchart.pm</span></a></h3>

<p><span style='font-size:11.0pt;layout-grid-mode:line'>Ò<i>chart</i></span><span

style='font-size:11.0pt;layout-grid-mode:line'>Ó button in remote control calls 

  lonchart.pm, which provides a quick review of students tries on different problems 

  of a course for an instructor.&nbsp; The instructor may monitor the number of 

  tries of every student in each map and its problems.<span style='color:red'> 

  </span>The number of solved problems in a map is shown in the end of each map 

  with a different color (green). The overall solved problems and total number 

  of problems in the map can be seen at the end of line according to every individual 

  student in a different color (blue). A sample of chart is shown in <b>Fig. 3.2.1</b></span></p>

<p><span style='font-size:9.0pt;border:solid windowtext .5pt;

padding:0in'>xxxxxxx1:msu ! 001 ! 1*11*121 <span style='color:green'>8</span> 

  1231.31423212 <span style='color:green'>12 </span>&nbsp;2111211284.131 <span style='color:green'>13</span> 

  É&nbsp; 231113112221 <span style='color:green'>12</span>&nbsp; <span style='color:navy'>162 

  / 188<br>

  </span>xxxxxxx2:msu ! 003 ! 12113162 <span style='color:green'>8</span> 1+11&nbsp; 

  1&nbsp; 21x111<span style='color:green'>10</span> 11211322246132 <span

style='color:green'>14</span> É ############<span style='color:green'>&nbsp; &nbsp;&nbsp;0&nbsp; 

  </span><span

style='color:navy'>149 / 188</span><span style='color:green'> <br>

  <br>

  </span></span></p>

<div style='border:solid windowtext .5pt;padding:1.0pt 0in 1.0pt 1.0pt'> 

  <p style='border:none;padding:0in;'>1..9: correct by student in 1..9 tries </p>

  <p style='border:none;padding:0in;'>*: correct by student in more than 9 tries 

  </p>

  <p style='border:none;padding:0in;'>+: correct by override </p>

  <p style='border:none;padding:0in;'>-: incorrect by override </p>

  <p style='border:none;padding:0in;'>.: incorrect attempted </p>

  <p style='border:none;padding:0in;'>#: ungraded attempted </p>

  <p style='border:none;padding:0in;'>Ô Ô: not attempted </p>

  <p style='border:none;padding:0in;'>x: excused</p>

</div>

<p><span style='font-size:14.0pt'><b>Fig. 3.2.1</b></span><span

style='font-size:14.0pt'> Chart of map, problems, and studentsÕ tries, and a quick 

  statistics of solved problems</span></p>

<p><span style='layout-grid-mode:line'>1. When an instructor loads the chart in 

  his/her machine once, its data is cached in his/her local machine. If he/she 

  runs the chart again, the course chart is loaded very quickly from the cache.</span></p>

<p><span style='layout-grid-mode:line'>2. An instructor can sort the chart according 

  to user name, last name, as well as, the section which student belongs to.</span></p>

<div style='border:solid windowtext .5pt;padding:1.0pt 4.0pt 1.0pt 4.0pt'> 

  <p align=center style='text-align:center;

border:none;padding:0in;'><span style='font-size:8.0pt;font-family:Arial;

display:none'>Top of Form</span></p>

</div>

<div style='border:solid windowtext .5pt;padding:1.0pt 4.0pt 0in 4.0pt'> 

  <p align=center style='

text-align:center;

border:none;padding:

0in;'><b>Sort by: &nbsp; </b><span

style='font-weight:normal'>&nbsp;&nbsp;&nbsp; <img width=53 height=23

src="Session%20Tw2_files/image003.png" v:shapes="_x0000_i1025"> &nbsp;&nbsp;&nbsp; 

    <img width=51 height=23

src="Session%20Tw2_files/image006.png" v:shapes="_x0000_i1026"> &nbsp;&nbsp;&nbsp; 

    <img width=40 height=23

src="Session%20Tw2_files/image009.png" v:shapes="_x0000_i1027"> <br>

    <br>

    </span></p>

</div>

<p>3. The instructor is able to select the ÒexpiredÓ students (who dropped the 

  course earlier) or ÒactiveÓ students or ÒanyÓ (all the) students.</p>

<div style='border:solid windowtext .5pt;padding:1.0pt 4.0pt 1.0pt 0in'> 

  <p align=center style='

text-align:center;

border:none;padding:0in;

'><br>

    <b>Student Status: &nbsp; </b><span style='font-weight:normal'> <img width=66 height=18

src="Session%20Tw2_files/image012.png" v:shapes="_x0000_i1028"> &nbsp;&nbsp;&nbsp; 

    <img width=77 height=23

src="Session%20Tw2_files/image015.png" v:shapes="_x0000_i1029"> </span></p>

</div>

<div style='border:none;border-top:solid windowtext .75pt;padding:1.0pt 0in 0in 0in'> 

  <p align=center style='text-align:center;border:none;

padding:0in;'><span

style='font-size:8.0pt;font-family:Arial;display:none'>Bottom of Form</span></p>

</div>

<h3 style='line-height:200%'><a name="_Toc421867140"><span style='layout-grid-mode:

line'>lonstatistics.pm</span></a></h3>

<p><span style='layout-grid-mode:line'>In ÒstatÓ button of Òremote controlÓ, a 

  menu with three options is provided for instructor: </span></p>

<p> <span style='layout-grid-mode:line'>1)<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span

style='layout-grid-mode:line'>Problem stats</span></p>

<p> <span style='layout-grid-mode:line'>2)<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; </span></span> <span

style='layout-grid-mode:line'>Problem Analysis</span></p>

<p> <span style='font-size:11.0pt;

layout-grid-mode:line'>3)<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp; 

  </span></span> <span style='layout-grid-mode:line'>Student Assessment</span></p>

<h4 style='line-height:150%'><span style='font-size:6.0pt;font-family:Arial;

layout-grid-mode:line;font-weight:normal'> &nbsp; </span></h4>

<h4><span style='font-size:12.0pt;font-family:Arial;layout-grid-mode:line'> &nbsp; 

  </span></h4>

<h4><span style='font-size:12.0pt;font-family:Arial;layout-grid-mode:line;

font-weight:normal'>Problem Stats</span></h4>

<p><span style='layout-grid-mode:line'>Ò<i>Problem Stats</i></span><span

style='layout-grid-mode:line'>Ó button provides a table<a href="#_ftn1" name="_ftnref1" title=""><span class=MsoFootnoteReference> 

  [1] </span></a> which includes statistical information about every problem, 

  as you see in <b>Fig. 3.2.2</b></span><span style='layout-grid-mode:line'>. 

  The function ExtractStudentData in lonstatitics Perl Module fetches all the 

  data from a particular student<a name="_Hlt9981185"></a> .db file into a big 

  hash in local machine. It uses dump function, which communicates via lonc/lond 

  to get the student data from student repository (data server) and then all versions 

  of student submissions computed according to every problem. The results are 

  stored in an array in the memory.&nbsp; Before computing the studentsÕ tries 

  in a particular problem, the different parts of problem are distinguished by 

  considering the meta-data, which is provided for every problem. </span></p>

<p><span style='"HYPERLINK \0022http\:\/\/deepthought\.lite\.msu\.edu\/res\/msu\/mmp\/kap1\/calckap1\.sequence\0022 \\t \0022_blank\0022"'><span

class=MsoHyperlink><span style='color:blue'>Homework Set 1</span></span></span> 

</p>

<table border=1 cellspacing=0 cellpadding=0>

  <tr> 

    <td width=21 class="Normal"> <p align=center style='text-align:center'><b>P#</b></p></td>

    <td width=72 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=94 height=23

  src="Session%20Tw2_files/image018.png" v:shapes="_x0000_i1030"> </b></p></td>

    <td width=37 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=41 height=23

  src="Session%20Tw2_files/image021.png" v:shapes="_x0000_i1031"> </b></p></td>

    <td width=29 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=31 height=23

  src="Session%20Tw2_files/image024.png" v:shapes="_x0000_i1032"> </b></p></td>

    <td width=26 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=28 height=23

  src="Session%20Tw2_files/image027.png" v:shapes="_x0000_i1033"> </b></p></td>

    <td width=30 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=32 height=23

  src="Session%20Tw2_files/image030.png" v:shapes="_x0000_i1034"> </b></p></td>

    <td width=31 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=33 height=23

  src="Session%20Tw2_files/image033.png" v:shapes="_x0000_i1035"> </b></p></td>

    <td width=29 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=31 height=23

  src="Session%20Tw2_files/image036.png" v:shapes="_x0000_i1036"> </b></p></td>

    <td width=36 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=40 height=23

  src="Session%20Tw2_files/image039.png" v:shapes="_x0000_i1037"> </b></p></td>

    <td width=32 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=35 height=23

  src="Session%20Tw2_files/image042.png" v:shapes="_x0000_i1038"> </b></p></td>

    <td width=26 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=28 height=23

  src="Session%20Tw2_files/image045.png" v:shapes="_x0000_i1039"> </b></p></td>

    <td width=33 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=36 height=23

  src="Session%20Tw2_files/image048.png" v:shapes="_x0000_i1040"> </b></p></td>

    <td width=35 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=38 height=23

  src="Session%20Tw2_files/image051.png" v:shapes="_x0000_i1041"> </b></p></td>

    <td width=37 class="Normal"> <p align=center style='text-align:center'><b> 

        <img width=41 height=23

  src="Session%20Tw2_files/image054.png" v:shapes="_x0000_i1042"> </b></p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>1</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Calculator Skills</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>267</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>3</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>1.04</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>0.0</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.04</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>0.2</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>5.7</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.03</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>2</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Numbers</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>414</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>17</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>1.62</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.38</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>1.6</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>5.7</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.11</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>3</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Speed</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>698</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>13</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>2.73</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.63</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>2.2</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>1.9</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.06</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>4</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Perimeter</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>388</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>7</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>1.52</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.34</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>0.9</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>2.4</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>-0.00</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>5</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Reduce a Fraction</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>315</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>4</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>1.23</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>0.0</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.19</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>0.5</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>2.3</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.01</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>6</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Calculating with Fractions</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>393</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>7</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>1.54</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>255</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>0.4</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.35</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>0.9</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>2.0</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.15</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.02</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>7</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Area of a Balloon</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>254</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>601</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>12</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>2.37</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>247</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>2.8</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.59</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>1.8</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>1.8</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>-0.05</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>-0.02</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>8</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Volume of a Balloon</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>252</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>565</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>11</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>2.24</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>243</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>3.6</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.57</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>1.9</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>2.0</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>-0.06</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>-0.03</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>9</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Numerical Value of Fraction</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>268</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>4</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>1.05</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>0.0</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.04</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>0.2</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>3.4</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.01</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>10</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Units</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>256</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>1116</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>20</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>4.36</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>246</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>3.9</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.78</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>4.2</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>1.9</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.18</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.03</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>11</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Vector versus Scalar</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>254</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>749</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>11</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>2.95</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>251</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>1.2</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.66</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>2.2</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>1.1</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>-0.05</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>-0.05</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>12</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Adding Vectors</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>253</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>1026</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>20</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>4.06</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>250</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>0</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>1.2</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.76</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>3.6</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>1.8</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.14</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>0.00</p></td>

  </tr>

  <tr> 

    <td width=21 class="Normal"> <p>13</p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Proximity</span></span></span></span></p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>249</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>663</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>19</p></td>

    <td width=30 bgcolor="white" class="Normal"> <p>2.66</p></td>

    <td width=31 bgcolor="white" class="Normal"> <p>239</p></td>

    <td width=29 bgcolor="white" class="Normal"> <p>1</p></td>

    <td width=36 bgcolor="white" class="Normal"> <p>3.6</p></td>

    <td width=32 bgcolor="white" class="Normal"> <p>0.64</p></td>

    <td width=26 bgcolor="white" class="Normal"> <p>2.3</p></td>

    <td width=33 bgcolor="white" class="Normal"> <p>2.8</p></td>

    <td width=35 bgcolor="white" class="Normal"> <p>0.11</p></td>

    <td width=37 bgcolor="white" class="Normal"> <p>-0.10</p></td>

  </tr>

</table>

<p><span style='font-size:14.0pt'><b>Fig. 3.2.2</b></span><span

style='font-size:14.0pt'>: Statistics table includes general statistics of every 

  problem of the course</span></p>

<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:

line'> problems is distinguished as a separate problem. The <i>multi-instance</i></span><span

style='font-size:11.0pt;layout-grid-mode:line'> problem is also considered separately, 

  because a particular problem or one part of it might be used in different maps. 

  Finally, the array, which includes all computed information from all students, 

  sorted according to the problem order, underlying in homework sets order. Therefore, 

  in this step we can compute the following statistical information:</span></p>

<p> <span style='font-size:11.0pt;

layout-grid-mode:line'>1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

  </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>#Stdnts</b></span><span

style='font-size:11.0pt;layout-grid-mode:line'>: &nbsp;&nbsp;&nbsp;&nbsp; Total 

  number of students who take a look at the problem.(Let #Stdnts is equal to <i>n</i></span><span style='font-size:

11.0pt;layout-grid-mode:line'>)</span></p>

<p> <span style='font-size:11.0pt;

layout-grid-mode:line'>2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

  </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Tries:</b></span><span

style='font-size:11.0pt;layout-grid-mode:line'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  Total number of tries to solve the problem (</span><span style='font-size:11.0pt'> 

  <img width=28 height=34

src="Session%20Tw2_files/image057.png" v:shapes="_x0000_i1043"> where <i><sub> 

  <img width=12 height=18

src="Session%20Tw2_files/image060.png" v:shapes="_x0000_i1044"> </sub></i></span><span style='font-size:11.0pt'>denote 

  a student try<span style='layout-grid-mode:line'>).</span></span></p>

<p> <span style='font-size:11.0pt;

layout-grid-mode:line'>3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

  </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Mod: 

  </b></span><span style='font-size:11.0pt;layout-grid-mode:line'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  Mode, </span><span style='font-size:11.0pt'>Maximum Number of Tries for solving 

  the problem.</span></p>

<p> <span style='font-size:11.0pt;

layout-grid-mode:line'>4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

  </span></span> <span style='font-size:11.0pt'><b>Mean:</b></span><span

style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Average Number 

  of the Tries. </span></p>

<p><span style='font-size:11.0pt'> <img width=11 height=13

src="Session%20Tw2_files/image063.png" v:shapes="_x0000_i1045"> = <img width=38 height=34

src="Session%20Tw2_files/image066.png" v:shapes="_x0000_i1046"> </span></p>

<p> 5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span> 

  <span style='font-size:11.0pt;layout-grid-mode:line'><b>#YES:</b></span><span

style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Number of students 

  solved the problem correctly.</span></p>

<p> <span style='font-size:11.0pt'>6.<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span

style='font-size:11.0pt'><b>#yes:</b></span><span style='font-size:11.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  Number of students solved the problem by override. </span></p>

<p><span style='font-size:11.0pt'>Sometimes, a student gets a correct answer after 

  talking with the instructor. This type of correct answer is called Òcorrected 

  by override.</span></p>

<p> <span style='font-size:11.0pt'>7.<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span

style='font-size:11.0pt'><b>%Wrng:</b></span><span style='font-size:11.0pt'> &nbsp;&nbsp; 

  Percentage of students tried to solve the problem but still incorrect. </span></p>

<p><span style='font-size:11.0pt'> <img width=137 height=31

src="Session%20Tw2_files/image069.png" v:shapes="_x0000_i1047"> </span></p>

<p> <span style='font-size:11.0pt'>8.<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span

style='font-size:11.0pt'><b>S.D.:</b></span><span style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  <i>Standard Deviation</i></span><span style='font-size:11.0pt'> of the studentsÕ 

  tries. </span></p>

<p><span style='font-size:11.0pt'> <img width=98 height=40

src="Session%20Tw2_files/image072.png" v:shapes="_x0000_i1048"> </span></p>

<p> <span style='font-size:11.0pt'>9.<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; </span></span> <span

style='font-size:11.0pt'><b>Skew.:</b></span><span style='font-size:11.0pt'> &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  <i>Skewness</i></span><span

style='font-size:11.0pt'> of the studentsÕ tries. </span></p>

<p><span style='font-size:11.0pt'> <img width=194 height=76

src="Session%20Tw2_files/image075.png" v:shapes="_x0000_i1049"> </span></p>

<p> <span style='font-size:11.0pt'>10.<span

style='font:7.0pt "Times New Roman"'>&nbsp; </span></span> <span

style='font-size:11.0pt'><b>DoDiff:</b></span><span style='font-size:11.0pt'> 

  &nbsp;&nbsp;&nbsp;&nbsp; <i>Degree of Difficulty</i></span><span

style='font-size:11.0pt'> of the problem. </span></p>

<p><span style='font-size:11.0pt'> <img width=100 height=38

src="Session%20Tw2_files/image078.png" v:shapes="_x0000_i1050"> </span></p>

<p><span style='font-size:11.0pt'>As you see Degree of Difficulty is always between 

  0 and 1. This is a good factor for an instructor to determine whether a problem 

  is difficult, and what is the degree of this difficulty. Thus, DoDiff of each 

  problem is saved in its meta data.</span></p>

<p> <span style='font-size:11.0pt'>11.<span

style='font:7.0pt "Times New Roman"'>&nbsp; </span></span> <span

style='font-size:11.0pt'><b>Dis.F.:</b></span><span style='font-size:11.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  <i>Discrimination Factor</i></span><a href="#_ftn2" name="_ftnref2"

title=""><span class=MsoFootnoteReference><span style='font-size:11.0pt'> [2] 

  </span></span></a><span

style='font-size:11.0pt'> is an standard for evaluating how much a problem discriminates 

  between the upper and the lower students.&nbsp; First, all of the students are 

  sorted according to a criterion. Then, %27 of upper students and %27 lower students 

  are selected from the sorted students applying the mentioned criterion. Finally 

  we obtain the Discrimination Factor from the following difference:</span></p>

<p><span style='font-size:11.0pt'><i>Applied a criterion in %27 upper students 

  - Applied the same Criterion in %27 lower students.</i></span></p>

<p class=MsoBodyTextIndent2 align=left style='text-align:left;line-height:normal'>Discrimination 

  Factor is a number in interval [-1,1]. If this number is close to 1, it shows 

  that only upper students have solved this problem. If it is close to 0 it shows 

  that the upper students and the lowers are approximately the same in solving 

  the problem. If this number is negative, it shows that the lower students have 

  more successes in solving the problem, and thus this problem is very poor in 

  discriminating the upper and lower students.</p>

<p><span style='font-size:11.0pt'>In lonstatistics.pm we compute the Discrimination 

  Factor from two criteria:</span></p>

<p><span style='font-size:11.0pt'><i>1st Criterion </i></span><span style='font-size:11.0pt'>for 

  Sorting the Students: <img width=138 height=41

src="Session%20Tw2_files/image081.png" v:shapes="_x0000_i1051"> </span></p>

<p><span style='font-size:11.0pt'><i>2nd Criterion</i></span><span style='font-size:11.0pt'> 

  for Sorting the Students: <img width=87 height=41

src="Session%20Tw2_files/image084.png" v:shapes="_x0000_i1052"> </span></p>

<p> <span style='font-size:11.0pt;

font-family:Symbol;layout-grid-mode:line'>á<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Change 

  the stats table sorting </b></span></p>

<p><span style='font-size:11.0pt;layout-grid-mode:line'>As you see in Fig. 3.2. 

  2, all headers in the stats table are buttons that change the order of the table. 

  Users can change increasingly or decreasingly every column of the table. First 

  the user select the Ò<i>ascending</i></span><span

style='font-size:11.0pt;layout-grid-mode:line'>Ó or Ò<i>descending</i></span><span

style='font-size:11.0pt;layout-grid-mode:line'>Ó option, then he/she can change 

  the order of the table with clicking the header of his/her interested header. 

  If the user changes the order the table, all information is shown in one table, 

  each row corresponds to a particular problem. If the user selects the first 

  column, Òhomework set orderÓ, the information is shown in different tables, 

  each table corresponds to a particular homework set.&nbsp;&nbsp; </span></p>

<p> <span style='font-size:11.0pt;

font-family:Symbol;layout-grid-mode:line'>á<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

  </span></span> <span style='font-size:11.0pt;layout-grid-mode:line'><b>Graphical 

  chart </b></span></p>

<p><span style='font-size:11.0pt;layout-grid-mode:line'>Two important features 

  in this page might be seen through the graphical charts. That is, a user could 

  see the content of Ò%wrongÓ column and Òdegree of difficulty of problemsÓ in 

  the graphical chart as is shown in Fig. 3.2. 3 and 4 for homework set 1 in course 

  PHY183 SS02. These graphical charts are produced dynamically by calling a CGI 

  scripts, (graph.gif) which is located in /home/httpd/cgi-bin/</span></p>

<p> <img width=231 height=173

src="Session%20Tw2_files/image086.jpg" v:shapes="_x0000_i1053"> <span

style='layout-grid-mode:line'> <img width=230 height=170

src="Session%20Tw2_files/image088.jpg" v:shapes="_x0000_i1054"> </span></p>

<p><b>Fig. 3.2. 3</b><span

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; 

  </span><b>Fig. 3.2. 4</b><span style='font-weight:normal'>: %Wrong graph</span></p>

<h4 style='line-height:150%'><span style='font-size:12.0pt;font-family:Arial;

layout-grid-mode:line'> &nbsp; </span></h4>

<h3><a name="_Toc421867141"><span style='layout-grid-mode:line'>Problem Analysis</span></a></h3>

<p><span style='font-size:11.0pt'>Conceptual option response problems, in which 

  the students are given several concepts that are randomly assigned to each student, 

  are more difficult than numerical simple problems.&nbsp; Instructors usually 

  want to see the studentsÕ tries according to every particular concept separately. 

  ÒProblem AnalysisÓ button provides all response option problems in one table 

  as follows in the <b>Fig. 3.2.5.</b></span><span style='font-size:11.0pt'> </span></p>

<div style='border:solid windowtext .5pt;padding:1.0pt 0in 1.0pt 4.0pt'> 

  <p style='border:none;padding:0in;'><span style='font-size:11.0pt'>Total number 

    of students: 263</span></p>

  <p style='border:none;padding:0in;'><b>Select number of intervals</b><span style='font-weight:normal'> 

    <img width=53 height=18

src="Session%20Tw2_files/image091.png" v:shapes="_x0000_i1055"> </span></p>

  <p style='border:none;padding:0in;'><b>Option Response Problems</b><span

style='font-weight:normal'> </span><b>in course PHY183 SS02:</b></p>

</div>

<table border=1 cellspacing=0 cellpadding=0>

  <tr> 

    <td width=15 class="Normal"> <p align=center style='text-align:center'><b># 

        </b></p></td>

    <td width=83 class="Normal"> <p align=center style='text-align:center'><b>Problem 

        Title </b></p></td>

    <td width=298 class="Normal"> <p align=center style='text-align:center'><b>Resource 

        </b></p></td>

    <td width=77 class="Normal"> <p align=center style='text-align:center'><b>Address 

        </b></p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>1 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Numbers</span></span></span> </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/01_Math_1/msu-prob10.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=72 height=23

  src="Session%20Tw2_files/image094.png" v:shapes="_x0000_i1056"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>2 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Speed</span></span></span> </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/03_Units_Scaling/msu-prob22.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=72 height=23

  src="Session%20Tw2_files/image097.png" v:shapes="_x0000_i1057"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>3 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Units</span></span></span> </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/03_Units_Scaling/msu-prob17.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=72 height=23

  src="Session%20Tw2_files/image100.png" v:shapes="_x0000_i1058"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>4 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Vector versus Scalar</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/06_Vectors_Scalars/msu-prob07.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=72 height=23

  src="Session%20Tw2_files/image103.png" v:shapes="_x0000_i1059"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>5 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Adding Vectors</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/06_Vectors_Scalars/msu-prob10.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=72 height=23

  src="Session%20Tw2_files/image106.png" v:shapes="_x0000_i1060"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>6 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Traveling Car</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/05_1D_Motion/msu-prob16.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=59 height=23

  src="Session%20Tw2_files/image109.png" v:shapes="_x0000_i1061"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>7 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Atwood Machine</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/kashy/Testing/randomlabel/atwood3T2M.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=63 height=23

  src="Session%20Tw2_files/image112.png" v:shapes="_x0000_i1062"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>8 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Sliding mass concepts</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/10_Motion_W_Friction/msu-prob32.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=59 height=23

  src="Session%20Tw2_files/image115.png" v:shapes="_x0000_i1063"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>9 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Work, Power, Energy Concepts</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/12_Work_Power_Energy/msu-prob27.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=68 height=23

  src="Session%20Tw2_files/image118.png" v:shapes="_x0000_i1064"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>10 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Bead on a Wire</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/13_EnergyConservation/msu-prob32.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=63 height=23

  src="Session%20Tw2_files/image121.png" v:shapes="_x0000_i1065"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>11 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Atwood Machine</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/20_Rot2_E_Trq_Accel/msu-prob23.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=63 height=23

  src="Session%20Tw2_files/image124.png" v:shapes="_x0000_i1066"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>12 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Flinstone Bowling</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/21_Rot3_AngMom_Roll/msu-prob38.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=63 height=23

  src="Session%20Tw2_files/image127.png" v:shapes="_x0000_i1067"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal"> <p>13 </p></td>

    <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

  class=MsoHyperlink><span style='color:blue'>Boat on Pond</span></span></span> 

      </p></td>

    <td width=298 bgcolor="white" class="Normal"> <p>/res/msu/physicslib/msuphysicslib/32_Fluids1_Pascal_Arch/msu-prob12.problem 

      </p></td>

    <td width=77 class="Normal"> <p> <img width=68 height=23

  src="Session%20Tw2_files/image130.png" v:shapes="_x0000_i1068"> </p></td>

  </tr>

  <tr> 

    <td width=15 class="Normal">&nbsp; </td>

    <td width=83 bgcolor="white" class="Normal"> <p align=center style='text-align:center'>É</p></td>

    <td width=298 bgcolor="white" class="Normal"> <p align=center style='text-align:center'>É</p></td>

    <td width=77 class="Normal"> <p align=center style='text-align:center'>É</p></td>

  </tr>

</table>

<p><span style='font-size:11.0pt'><b>Fig. 3.2.5</b></span><span

style='font-size:11.0pt'>: Option response problems in course PHY183 SS02</span></p>

<p><b>Fig. 3.2.5</b><span style='font-weight:normal'> includes a table, which 

  shows the title of every option response problem in the first column. This title 

  has a link to the original html page of the problem.&nbsp; In the second column 

  the source address of the problem is shown. Third column of this table includes 

  a button to analyze the studentsÕ data on this particular option response problem. 

  When this button is clicked, all data about this problem is <i>restored</i></span>, 

  for every student.&nbsp; Different versions of studentsÕ submissions are evaluated. 

  The results are presented in a graphical chart as well as a numerical table. 

  For example, if we select the analysis of&nbsp; <b>/res/msu/kashy/Testing/randomlabel/atwood3T2M.problem</b></p>

<p> <span style='position:

relative;z-index:0'><span style='position:absolute;left:-37px;top:-32px;

width:248px;height:174px'> <table cellpadding=0 cellspacing=0> <tr> <td width=249 height=174 align=left valign=top bgcolor=white class="Normal"

  style='border:.75pt solid black;vertical-align:top;background:white'><span

  style='position:absolute;z-index:1'> 

  <table cellpadding=0 cellspacing=0 width="100%">

    <tr> 

      <td class="Normal"> <div v:shape="_x0000_s1026" style='padding:3.6pt 7.2pt 3.6pt 7.2pt'

    class=shape> 

          <p class=FirstParagraph><span lang=PT-BR

    style='font-size:9.0pt'>A frictionless, massless pulley is attached to the 

            ceiling, in a gravity field g. Mass Ma is greater than mass Mb. The 

            tensions Tx,Ty, Tz, and the constant g are magnitudes. (For each, 

            select: Greater than, Less than, Equal to, True, or False) </span></p>

          <p class=FirstParagraph><span lang=PT-BR style='font-size:9.0pt'> <img width=96 height=114

    src="Session%20Tw2_files/image132.jpg" v:shapes="_x0000_i1069"> &nbsp; <img width=125 height=120

    src="Session%20Tw2_files/image135.png" v:shapes="_x0000_i1070"> </span></p>

        </div></td>

    </tr>

  </table>

  &nbsp; </span></td></tr> </table> &nbsp; 

  <p></p>

  <br clear=all>

  <p align=right style='text-align:right'> <span style='position:

absolute;z-index:1;left:0px;margin-left:229px;margin-top:97px;width:235px;

height:40px'> <table cellpadding=0 cellspacing=0> <tr> <td width=236 height=40 align=left valign=top bgcolor=white class="Normal" style='border:

  .75pt solid white;vertical-align:top;background:white'><span

  style='position:absolute;left:0pt;z-index:3'> 

    <table cellpadding=0 cellspacing=0 width="100%">

      <tr> 

        <td class="Normal"> <div v:shape="_x0000_s1028" style='padding:3.6pt 7.2pt 3.6pt 7.2pt'

    class=shape> 

            <p><span style='font-size:9.0pt'><b>Fig. 3.2.7</b></span><span

    style='font-size:9.0pt'>: Graphical chart of student tries for </span></p>

            <p><span style='font-size:9.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

              &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Atwood Machine Problem 

              according </span></p>

            <p><span style='font-size:9.0pt'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; 

              to every concept in 1 interval time.</span></p>

          </div></td>

      </tr>

    </table>

    &nbsp; </span></td></tr> </table> <img width=203 height=150

src="Session%20Tw2_files/image137.png" v:shapes="_x0000_i1071"> 

    <p></p>

    <p><span style='font-size:9.0pt'><b>Fig. 3.2.6</b></span><span

style='font-size:9.0pt'>: Atwood Machine option response problem in HW3<b> </b></span></p>

    <p><span style='font-size:11.0pt'>In addition, the data of studentsÕ tries 

      are shown in a table as you see in <b>Fig. 3.2.8</b></span><span

style='font-size:11.0pt'>. In the last row of the table you can see the time interval 

      of this data and the overall correct and wrong answers separately. If an 

      instructor wants to see the studentsÕ tries in different time intervals, 

      he/she could set the number of intervals from 1 to 7 time intervals, and 

      then recompute the analysis. </span></p>

    <table border=1 cellspacing=0 cellpadding=0>

      <tr> 

        <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 

            </b></p></td>

        <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 

            </b></p></td>

        <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 

            </b></p></td>

        <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 

            </b></p></td>

      </tr>

      <tr> 

        <td width=10 class="Normal"> <p>1</p></td>

        <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 

            acceleration if the two the string does not stretch. </p></td>

        <td width=38 bgcolor="white" class="Normal"> <p>1342 </p></td>

        <td width=35 bgcolor="white" class="Normal"> <p>433 </p></td>

      </tr>

      <tr> 

        <td width=10 class="Normal"> <p>2</p></td>

        <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 

            is greater than the tension of the string attached to the ceiling. 

          </p></td>

        <td width=38 bgcolor="white" class="Normal"> <p>585 </p></td>

        <td width=35 bgcolor="white" class="Normal"> <p>1190 </p></td>

      </tr>

      <tr> 

        <td width=10 class="Normal"> <p>3</p></td>

        <td width=357 bgcolor="white" class="Normal"> <p>The top tension is equals 

            the two bottom tensions. (massless pulley) </p></td>

        <td width=38 bgcolor="white" class="Normal"> <p>1263 </p></td>

        <td width=35 bgcolor="white" class="Normal"> <p>512 </p></td>

      </tr>

      <tr> 

        <td width=10 class="Normal"> <p>4</p></td>

        <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the two 

            masses are equal if mass of pulley=0 </p></td>

        <td width=38 bgcolor="white" class="Normal"> <p>1087 </p></td>

        <td width=35 bgcolor="white" class="Normal"> <p>688 </p></td>

      </tr>

      <tr> 

        <td width=10 class="Normal"> <p>5</p></td>

        <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 

            upwards or downwards accordingly </p></td>

        <td width=38 bgcolor="white" class="Normal"> <p>757 </p></td>

        <td width=35 bgcolor="white" class="Normal"> <p>1018 </p></td>

      </tr>

      <tr> 

        <td width=10 class="Normal"> <p>6</p></td>

        <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 

            downward </p></td>

        <td width=38 bgcolor="white" class="Normal"> <p>1354 </p></td>

        <td width=35 bgcolor="white" class="Normal"> <p>421 </p></td>

      </tr>

      <tr> 

        <td width=10 class="Normal">&nbsp; </td>

        <td width=357 class="Normal"> <p><b>From:[Thu Jan 24 00:46:22 2002] To: 

            [Mon Feb 4 23:59:59 2002]</b></p></td>

        <td width=38 class="Normal"> <p>6388</p></td>

        <td width=35 class="Normal"> <p>4245</p></td>

      </tr>

    </table>

    <p><span style='font-size:11.0pt'><b>Fig. 3.2.8</b></span><span

style='font-size:11.0pt'>: Table of student tries for Atwood Machine Problem according 

      to every concept in one time interval.</span></p>

    <p> <span

style='position:relative;z-index:2'><span style='position:

absolute;left:-109px;top:-166px;width:341px;height:24px'> <img width=341

height=24 src="Session%20Tw2_files/image138.png" v:shapes="_x0000_s1027"> <img width=203 height=150

src="Session%20Tw2_files/image140.png" v:shapes="_x0000_i1072"> <img width=203 height=150

src="Session%20Tw2_files/image142.png" v:shapes="_x0000_i1073"> 

      <p></p>

      <table border=1 cellspacing=0 cellpadding=0>

        <tr> 

          <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 

              </b></p></td>

          <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 

              </b></p></td>

          <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 

              </b></p></td>

          <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 

              </b></p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>1</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 

              acceleration if the two the string does not stretch. </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>124 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>98 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>2</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 

              is greater than the tension of the string attached to the ceiling. 

            </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>44 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>178 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>3</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 

              equals the two bottom tensions. (massless pulley) </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>142 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>80 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>4</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 

              two masses are equal if mass of pulley=0 </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>125 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>97 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>5</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 

              upwards or downwards accordingly </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>64 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>158 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>6</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 

              downward </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>151 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>71 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal">&nbsp; </td>

          <td width=357 class="Normal"> <p><b>From:[Thu Jan 24 00:46:22 2002] 

              To: [Wed Jan 30 00:23:10 2002]</b></p></td>

          <td width=38 class="Normal"> <p>650</p></td>

          <td width=35 class="Normal"> <p>682</p></td>

        </tr>

      </table>

      <table border=1 cellspacing=0 cellpadding=0>

        <tr> 

          <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 

              </b></p></td>

          <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 

              </b></p></td>

          <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 

              </b></p></td>

          <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 

              </b></p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>1</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 

              acceleration if the two the string does not stretch. </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>1218 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>335 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>2</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 

              is greater than the tension of the string attached to the ceiling. 

            </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>541 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>1012 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>3</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 

              equals the two bottom tensions. (massless pulley) </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>1121 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>432 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>4</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 

              two masses are equal if mass of pulley=0 </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>962 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>591 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>5</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 

              upwards or downwards accordingly </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>693 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>860 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>6</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 

              downward </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>1203 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>350 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal">&nbsp; </td>

          <td width=357 class="Normal"> <p><b>From:[Wed Jan 30 00:23:11 2002] 

              To: [Mon Feb 4 23:59:59 2002]</b></p></td>

          <td width=38 class="Normal"> <p>5738</p></td>

          <td width=35 class="Normal"> <p>3563</p></td>

        </tr>

      </table>

      <p><span style='font-size:11.0pt'><b>Fig. 3.2.9</b></span><span

style='font-size:11.0pt'>: Table of student tries for Atwood Machine Problem according 

        to every concept in 2 times interval.</span></p>

      <p>In <b>Fig. 3.2.9</b><span style='font-weight:normal'>, number of studentsÕ 

        tries tables and the graphical chart are shown in 2 different time intervals. 

        An instructor would be able to check whether the students have more wrong 

        answers during the first days of opening the homework set, and how many 

        students have tried during the first or the second interval. Since the 

        problems are individualized he/she might be able to see how many students 

        have tried to solve the problem after communicating with each other and 

        understanding the concept.&nbsp; In Fig. 3.2. 10 the charts and tables 

        of studentsÕ tries are shown in 3 time intervals. So if the homework should 

        be done in one week, an instructor would be able to observe the distribution 

        of studentsÕ tries every day separately after choosing the 7 time intervals.</span></p>

      <p> <img width=151 height=150

src="Session%20Tw2_files/image144.png" v:shapes="_x0000_i1074"> <img width=151 height=150

src="Session%20Tw2_files/image146.png" v:shapes="_x0000_i1075"> <img width=149 height=150

src="Session%20Tw2_files/image148.png" v:shapes="_x0000_i1076"> </p>

      <table border=1 cellspacing=0 cellpadding=0>

        <tr> 

          <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 

              </b></p></td>

          <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 

              </b></p></td>

          <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 

              </b></p></td>

          <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 

              </b></p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>1</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 

              acceleration if the two the string does not stretch. </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>31 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>30 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>2</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 

              is greater than the tension of the string attached to the ceiling. 

            </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>8 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>53 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>3</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 

              equals the two bottom tensions. (massless pulley) </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>44 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>17 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>4</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 

              two masses are equal if mass of pulley=0 </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>32 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>29 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>5</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 

              upwards or downwards accordingly </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>20 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>41 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>6</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 

              downward </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>42 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>19 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal">&nbsp; </td>

          <td width=357 class="Normal"> <p><b>From:[Thu Jan 24 00:46:22 2002] 

              To: [Mon Jan 28 00:30:53 2002]</b></p></td>

          <td width=38 class="Normal"> <p>177</p></td>

          <td width=35 class="Normal"> <p>189</p></td>

        </tr>

      </table>

      <table border=1 cellspacing=0 cellpadding=0>

        <tr> 

          <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 

              </b></p></td>

          <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 

              </b></p></td>

          <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 

              </b></p></td>

          <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 

              </b></p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>1</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 

              acceleration if the two the string does not stretch. </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>692 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>257 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>2</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 

              is greater than the tension of the string attached to the ceiling. 

            </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>321 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>628 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>3</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 

              equals the two bottom tensions. (massless pulley) </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>690 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>259 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>4</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 

              two masses are equal if mass of pulley=0 </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>590 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>359 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>5</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 

              upwards or downwards accordingly </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>399 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>550 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>6</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 

              downward </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>703 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>246 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal">&nbsp; </td>

          <td width=357 class="Normal"> <p><b>From:[Mon Jan 28 00:30:54 2002] 

              To: [Fri Feb 1 00:15:25 2002]</b></p></td>

          <td width=38 class="Normal"> <p>3395</p></td>

          <td width=35 class="Normal"> <p>2281</p></td>

        </tr>

      </table>

      <table border=1 cellspacing=0 cellpadding=0>

        <tr> 

          <td width=10 class="Normal"> <p align=center style='text-align:center'><b># 

              </b></p></td>

          <td width=357 class="Normal"> <p align=center style='text-align:center'><b>Concept 

              </b></p></td>

          <td width=38 class="Normal"> <p align=center style='text-align:center'><b>Correct 

              </b></p></td>

          <td width=35 class="Normal"> <p align=center style='text-align:center'><b>Wrong 

              </b></p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>1</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Two masses have same 

              acceleration if the two the string does not stretch. </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>619 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>147 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>2</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Weight of the two masses 

              is greater than the tension of the string attached to the ceiling. 

            </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>256 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>510 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>3</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>The top tension is 

              equals the two bottom tensions. (massless pulley) </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>529 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>237 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>4</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Tension holding the 

              two masses are equal if mass of pulley=0 </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>465 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>301 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>5</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Sub-System accelerates 

              upwards or downwards accordingly </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>338 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>428 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal"> <p>6</p></td>

          <td width=357 bgcolor="white" class="Normal"> <p>Center of mass accelerates 

              downward </p></td>

          <td width=38 bgcolor="white" class="Normal"> <p>609 </p></td>

          <td width=35 bgcolor="white" class="Normal"> <p>157 </p></td>

        </tr>

        <tr> 

          <td width=10 class="Normal">&nbsp; </td>

          <td width=357 class="Normal"> <p><b>From:[Fri Feb 1 00:15:26 2002] To: 

              [Mon Feb 4 23:59:59 2002]</b></p></td>

          <td width=38 class="Normal"> <p>2816</p></td>

          <td width=35 class="Normal"> <p>1775</p></td>

        </tr>

      </table>

      <p><b>Fig. 3.2. 10</b><span style='font-weight:normal'>: Table of student 

        tries for Atwood Machine Problem according to every concept in 3 times 

        interval.</span></p>

      <h3><a name="_Toc421867142">Student Assessment</a></h3>

      <p class=MsoBodyText2><span style='font-size:11.0pt'>This option provides 

        some reports about the current educational situation of every student 

        as you see in <b>Fig. 3.2.11</b></span><span style='font-size:11.0pt'>.&nbsp; 

        A ÔYÕ show that the student has solved the problem and ÔNÕ shows his/her 

        failure.&nbsp; A Ô-Ô denotes a unattempted problem. The numbers in the 

        right column show the total number of tries of the student in solving 

        the corresponding problems.</span></p>

      <form>

        <div style='border:solid windowtext .5pt;padding:1.0pt 0in 1.0pt 4.0pt'> 

          <p style='border:none;padding:0in;'>Total number of students : 263<br>

            <br>

            <img width=68 height=23

src="Session%20Tw2_files/image151.png" v:shapes="_x0000_i1077"> <br>

            <b>Select &nbsp; Map &nbsp; &nbsp; </b><span style='font-weight:normal'> 

            <img width=215 height=18

src="Session%20Tw2_files/image154.png" v:shapes="_x0000_i1078"> &nbsp;&nbsp;&nbsp;<br>

            </span><b>Select Section</b><span style='font-weight:normal'> <img width=89 height=18

src="Session%20Tw2_files/image157.png" v:shapes="_x0000_i1079"> <br>

            </span><b>Select Student</b><span style='font-weight:normal'> <img width=89 height=18

src="Session%20Tw2_files/image160.png" v:shapes="_x0000_i1080"> <br>

            <br>

            </span></p>

          <p style='border:none;padding:0in;'> <img width=93 height=23

src="Session%20Tw2_files/image163.png" v:shapes="_x0000_i1081"> </p>

        </div>

        <table border=1 cellspacing=0 cellpadding=0>

          <tr> 

            <td width=21 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b># 

                </b></p></td>

            <td width=177 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b>Set 

                Title </b></p></td>

            <td width=122 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b>Results 

                </b></p></td>

            <td width=153 class="Normal"> <p align=center style='text-align:center;line-height:150%'><b>Tries 

                </b></p></td>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>1 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/phy183.sequence 

              </p></td>

            <td width=122 class="Normal">&nbsp; </td>

            <td width=153 class="Normal">&nbsp; </td>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>2 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap1/calckap1.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>3 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap2/calckap2.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYNYYYYNNYYYYYYYY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>4 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap3/calckap3.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYNYYYYYYYYYY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>5 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap4/calckap4.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>NYYYYYYYYYYYYYYY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>6 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap5/calckap5.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYY-YY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>7 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap6/calckap6.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYYY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>8 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap7/calckap7.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYYYYYYY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>9 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap8/calckap8.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYYYYY 

                </span></p></td>

            <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>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>10 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap9/calckap9.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYN-NYYNY 

                </span></p></td>

            <td width=153 class="Normal"> <p style='line-height:150%'>1,1,1,2,1,,2,2,1,6,4</p></td>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>11 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap10/calckap10.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'><span style='font-size:8.0pt'>YYYYYYYYYYYY 

                </span></p></td>

            <td width=153 class="Normal"> <p style='line-height:150%'>2,1,1,1,1,1,1,1,1,1,1,1</p></td>

          </tr>

          <tr> 

            <td width=21 class="Normal"> <p style='line-height:150%'>12 </p></td>

            <td width=177 class="Normal"> <p style='line-height:150%'>msu/mmp/kap11/calckap11.sequence 

              </p></td>

            <td width=122 class="Normal"> <p style='line-height:150%'>----------------- 

              </p></td>

            <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>

          </tr>

        </table>

        <p><span style='layout-grid-mode:line'><b>Fig. 3.2. 5</b></span><span

style='layout-grid-mode:line'>: A sample of a student homework results and tries</span></p>

        <p><span style='font-size:11.0pt;layout-grid-mode:line'>We plan to present 

          several other reports in this page as well. Some student classification 

          reports also would be depicted here.</span></p>

        <p><span style='font-size:11.0pt;layout-grid-mode:line'>In Òproblem statsÓ 

          and Òstudent assessmentÓ pages, an instructor can limit the range of 

          his/her information to a particular section or a particular homework 

          set.&nbsp; So, an instructor would be able to load the statistics table 

          or student tries in Òstudent assessmentÓ table to a particular map or 

          section. </span><span style='font-size:11.0pt'>After changing the map 

          or section, he/she would be able to see the results via the recalculating 

          the computation on that page. </span><span style='font-size:11.0pt;

font-family:Arial;layout-grid-mode:line'></span></p>

        <h3><a name="_Toc421867143"><span style='layout-grid-mode:line'>Future 

          work, using activity.log to classify the students</span></a></h3>

        <p><span style='font-size:11.0pt'>The problem is whether we can find the 

          good features for <i>classifying</i></span><span style='font-size:

11.0pt'> students? If so, we would be able to identify a <i>predictor</i></span><span

style='font-size:11.0pt'> for any individual student after doing a couple of homework 

          sets. With this information, we would be able to <i>help</i></span><span

style='font-size:11.0pt'> a student use the resources better.&nbsp; <span style='layout-grid-mode:line'>As 

          the first step of data mining stuff w</span>e want to make an initial 

          effort to classify the students. </span></p>

        <p><span style='font-size:11.0pt'>Preprocessing and finding the useful 

          student data and segmenting may be a difficult task. Internally, one 

          part of this data is stored in a student directory:</span></p>

        <p><span style='font-size:11.0pt'>&nbsp;</span><span style='font-size:11.0pt;font-family:"Courier New"'>/</span><span

style='font-size:9.0pt;font-family:"Courier New"'>home/httpd/lonUsers/<i>domain</i></span><span

style='font-size:9.0pt;font-family:"Courier New"'>/<i>1st.char</i></span><span

style='font-size:9.0pt;font-family:"Courier New"'>/<i>2nd.char</i></span><span

style='font-size:9.0pt;font-family:"Courier New"'>/<i>3rd.char</i></span><span

style='font-size:9.0pt;font-family:"Courier New"'>/<i>username</i></span><span

style='font-size:9.0pt;font-family:"Courier New"'>/</span></p>

        <p class=MsoHeader><span style='font-size:11.0pt'>For example: /home/httpd/lonUsers/msu/m/i/n/minaeibi/</span></p>

        <p><span style='font-size:11.0pt;layout-grid-mode:line'>Since spring semester 

          2002, LON-CAPA has logged every activity of every student who has used</span><span style='font-size:11.0pt'> 

          online educational resources and their recorded paths through the web. 

          So another part of data is stored in Òactivity.logÓ which is located 

          in course directory.</span></p>

        <p><span style='font-size:11.0pt'>The student data restored from .db files 

          in student directory and is fetched into a hash table. The special hash 

          keys Ò<i>keysÓ</i></span><span style='font-size:11.0pt'>, Ò<i>versionÓ</i></span><span

style='font-size:11.0pt'> and Ò<i>timestampÓ</i></span><span style='font-size:

11.0pt'> were evaluated from the hash. The <i>version</i></span><span

style='font-size:11.0pt'> will be equal to the total number of versions of the 

          data that have been stored. The <i>timestamp</i></span><span style='font-size:

11.0pt'> attribute is the UNIX time the data was stored. <i>keys</i></span><span

style='font-size:11.0pt'> is available in every historical section to list which 

          keys were added or changed at a specific historical revision of a hash. 

          We extract the features from a structured homework data, which is stored 

          as particular URLÕs. For example the result of solving homeworkÕs problem 

          by students could be extracted from </span><span style='font-size:9.0pt;

font-family:"Courier New"'><i>resource.partid.solved</i></span><span

style='font-size:11.0pt;font-family:"Courier New"'>, </span><span

style='font-size:11.0pt'>the total number of the students for solving the problem 

          could be extracted from </span><span style='font-size:9.0pt;font-family:

"Courier New"'><i>resource.partid.tries</i></span><span style='font-size:11.0pt;

font-family:"Courier New"'>,</span><span style='font-size:11.0pt'> and so forth.</span></p>

        <p><span style='font-size:11.0pt'>All data stored in activity.log includes 

          <i>user name</i></span><span style='font-size:11.0pt'>, <i>time</i></span><span

style='font-size:11.0pt'> and <i>resource URL</i></span><span style='font-size:

11.0pt'>. We can divide these data into six types of URLs, listed below, according 

          to their importance for data mining: </span></p>

        <p style='line-height:150%'><span style='font-size:11.0pt'>1. <b><u>problems:</u></b></span><span

style='font-size:11.0pt'> are the most useful data. i.e.<b><u> </u></b></span><span

style='font-size:7.0pt'><b><u>msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</u></b></span> 

          <br>

          <span style='font-size:11.0pt'>2. <b>html pages</b></span><span

style='font-size:11.0pt'> to those are some links in the problems. i.e. </span><span

style='font-size:7.0pt'><b>msu/mmp/kap14/kap14.sequence___5___msu/mmp/kap14/cd396.htm</b></span> 

          <br>

          <span style='font-size:11.0pt'>3. <i>the images</i></span><span

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

style='font-size:11.0pt'> .</span></p>

        <p style='line-height:150%'><span style='font-size:11.0pt'>4. <u>loncapa 

          routines</u>: i.e. <u>/adm/navmaps,</u>&nbsp; or&nbsp; <u>/adm/roles,</u> 

          or&nbsp; <u>/adm/logout</u>.<br>

          5. <i><u>Posted data</u></i></span><span style='font-size:11.0pt'> by 

          students: i.e. <i><u>resource.0.11.submission=27.11</u></i></span><span style='font-size:

11.0pt'> <br>

          6. remote control gif files: i.e.: /res/adm/pages/v.gif </span></p>

        <p>So, activity.log usually grows fast, when students have more access 

          to the educational resources. We have brought a sample of different 

          types of data which are logged in activity.log after a preprocessing 

          phase as follows:&nbsp; </p>

        <p><u>144) 1010955846: studentX --&gt; /adm/navmaps</u> <br>

          <i>145) 1010955205: studentX --&gt; /res/msu/mmp/kap14/picts/beta_eqn.gif</i><span

style='font-style:normal'> <br>

          <u>146) 1010955685: studentX --&gt; /adm/navmaps</u> <br>

          <u>147) 1010955988: studentX --&gt; /adm/navmaps</u> <br>

          </span><span style='font-size:8.0pt'><b>148) 1010955998: studentX --&gt; 

          msu/mmp/kap14/kap14.sequence___5___msu/mmp/kap14/cd396.htm</b></span> 

          <br>

          <i>149) 1010955999: studentX --&gt; /res/msu/mmp/kap14/picts/velocity_eqn3.gif</i> 

          <br>

          <i>150) 1010956000: studentX --&gt; /res/msu/mmp/kap14/picts/time_eqn.gif</i><span style='font-style:normal'> 

          <br>

          151) 1010954609: studentX --&gt; /res/adm/pages/grds.gif <br>

          </span><i>152) 1010954611: studentX --&gt; /res/msu/mmp/wordproc.gif</i><span

style='font-style:normal'> <br>

          153) 1010954626: studentX --&gt; /res/adm/pages/i.gif <br>

          </span><span style='font-size:8.0pt'><b>154) 1010955717: studentX --&gt; 

          msu/mmp/kap14/kap14.sequence___1___msu/mmp/kap14/cd392.htm</b></span> 

          <br>

          <i>155) 1010955717: studentX --&gt; /res/msu/mmp/kap14/picts/backsoun.gif</i> 

          <br>

          <span style='font-size:8.0pt'><b>156) 1010955920: studentX --&gt; msu/mmp/kap14/kap14.sequence___3___msu/mmp/kap14/cd394.htm</b></span> 

          <br>

          <i>157) 1010955921: studentX --&gt; /res/msu/mmp/gifs/demo.gif</i><span

style='font-style:normal'> <br>

          158) 1010956113: studentX --&gt; /res/adm/pages/v.gif <br>

          159) 1010954629: studentX --&gt; /res/adm/pages/eval.gif <br>

          160) 1010954631: studentX --&gt; /res/adm/pages/back.gif <br>

          161) 1010954632: studentX --&gt; /res/adm/pages/b.gif <br>

          162) 1010954633: studentX --&gt; /res/adm/pages/r.gif <br>

          </span><span style='font-size:9.0pt'><b>163) 1010955754:</b></span><b> 

          studentX --&gt; msu/mmp/kap14/kap14.sequence___2___msu/mmp/kap14/cd393.htm</b><span

style='font-weight:normal'> <br>

          <i>164) 1010955756: studentX --&gt; /res/msu/mmp/kap14/picts/asound.jpg</i></span> 

          <br>

          <i>165) 1010955762: studentX --&gt; /res/msu/mmp/kap14/picts/sensor.jpg</i> 

          <br>

          <i>166) 1010955999: studentX --&gt; /res/msu/mmp/gifs2/example.gif</i><span

style='font-style:normal'> <br>

          173) 1010955687: studentX --&gt; /res/adm/pages/u.gif <br>

          174) 1010955688: studentX --&gt; /res/adm/pages/s.gif <br>

          175) 1010955688: studentX --&gt; /res/adm/pages/e.gif <br>

          </span><span style='font-size:9.0pt'><b>176) 1010956528:</b></span><b> 

          studentX</b><span

style='font-size:9.0pt'><b> --&gt; msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</b></span> 

          <br>

          <i><u>177) Sent data</u></i> <br>

          <span style='font-size:9.0pt'><b><u>178) 1010956536: </u></b></span><b><u>studentX</u></b><span

style='font-size:9.0pt'><u><b> --&gt;</b></u></span><b><u> </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> 

          <br>

          <i><u>179) Sent data HWVAL11=27.11</u></i> <br>

          <span style='font-size:9.0pt'><b><u>180) 1010956536:</u></b></span><b><u> 

          studentX</u></b><span style='font-size:9.0pt'><u><b> --&gt;</b></u></span><b><u> 

          </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> 

          <br>

          <i><u>181) Sent data resource.0.11.submission=27.11</u></i> <br>

          <span style='font-size:9.0pt'><b><u>182) 1010956702: studentX --&gt; 

          msu/mmp/kap14/kap14.sequence___33___msu/mmp/kap14/problems/cd418a.problem</u></b></span> 

          <br>

          <span style='font-size:11.0pt'><i><u>183) Sent data</u></i></span><span

style='font-size:11.0pt'> <br>

          <i>184) 1010955921: studentX --&gt; /res/msu/mmp/kap14/picts/areal.gif</i></span><span

style='font-size:11.0pt'> <br>

          185) 1010955731: studentX --&gt; /res/adm/pages/n.gif <br>

          <br>

          </span></p>

        <p class=H5> <span

style='font-size:11.0pt;font-family:Symbol;font-weight:normal'>á<span

style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span> 

          <span

style='font-size:11.0pt;font-family:Arial'>Feature Extraction</span></p>

        <p class=MsoBodyText2>From these two types of student data which are stored 

          by the LON-CAPA system, the features may be considered for classifying 

          the students, are as follows: </p>

        <p> 1.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Total number of correct answers. </p>

        <p> 2.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Total number of tries for doing homework. </p>

        <p> 3.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Time at which the student got the problem correct. Usually better 

          students get the homework completed earlier.</p>

        <p> 4.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Reading the material before attempting homework vs. attempting 

          first and then read up on it.</p>

        <p> 5.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Submitting a lot of attempts in a short amount of time without 

          looking up material in between, vs. those giving it one try, reading 

          up, submitting another one, etc.</p>

        <p> 6.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Getting the problem right on the first try, vs. those with high 

          number of tries.</p>

        <p> 7.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Giving up on a problem versus students continuing trying up 

          to the deadline.</p>

        <p> 8.<span style='font:7.0pt "Times New Roman"'>&nbsp;&nbsp;&nbsp;&nbsp; 

          </span> Participating in the communication mechanisms, vs. those working 

          alone.</p>

        <p><br>

          It might be interesting to group students with time of the first log 

          on (beginning of assignment, middle of the week, last minute) and correlate 

          this with the number of tries or number of solved problems. A student 

          who gets all correct answers will not necessarily be in the successful 

          group if they took an average of 5 tries per problem, but it should 

          be verified from this research. </p>

        <p>We hope to find similar patterns of use in the data gathered from LON-CAPA, 

          and eventually be able to make predictions as to the most-beneficial 

          course of studies for each learner based on a limited number of variables 

          for each individual student. Based on the current state of the learner 

          in a learning sequence, the system could then make suggestions to the 

          learner as to how to proceed. </p>

      </form>

      <br

clear=ALL style='page-break-before:always;'>

      <div class=Section2> </div></div>

      <br clear=all>

      <hr align=left size=1 width="33%">

      <div id=ftn1> 

        <p class=MsoFootnoteText><a href="#_ftnref1"

name="_ftn1" title=""><span class=MsoFootnoteReference> [1] </span></a> If instructor 

          is going to port the statistics table data to Excel, he/she can select 

          the checkbox ÒOutput CSV formatÓ at top of the statistics table.</p>

      </div>

      <div id=ftn2> 

        <p class=MsoFootnoteText><a href="#_ftnref2"

name="_ftn2" title=""><span class=MsoFootnoteReference> [2] </span></a>&nbsp; 

          This name has been got from administration office of Michigan State 

          University for evaluating the examsÕ problem. Here we expanded this 

          expression to homework problems as well.</p>

      </div></span></span></span></span></span>

      

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