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<html>
<head>
<meta name=Title content="Session Two: Statistics/Chart (Behrouz)">
<meta http-equiv=Content-Type content="text/html; charset=macintosh">
<link rel=Edit-Time-Data href="Session%20Tw2_files/editdata.mso">
<link rel=OLE-Object-Data href="Session%20Tw2_files/oledata.mso">
<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"'> </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"'> </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. 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> 2111211284.131 <span style='color:green'>13</span>
É 231113112221 <span style='color:green'>12</span> <span style='color:navy'>162
/ 188<br>
</span>xxxxxxx2:msu ! 003 ! 12113162 <span style='color:green'>8</span> 1+11
1 21x111<span style='color:green'>10</span> 11211322246132 <span
style='color:green'>14</span> É ############<span style='color:green'> 0
</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: </b><span
style='font-weight:normal'> <img width=53 height=23
src="Session%20Tw2_files/image003.png" v:shapes="_x0000_i1025">
<img width=51 height=23
src="Session%20Tw2_files/image006.png" v:shapes="_x0000_i1026">
<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: </b><span style='font-weight:normal'> <img width=66 height=18
src="Session%20Tw2_files/image012.png" v:shapes="_x0000_i1028">
<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"'> </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"'> </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"'>
</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'> </span></h4>
<h4><span style='font-size:12.0pt;font-family:Arial;layout-grid-mode:line'>
</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. 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"'>
</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'>: 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"'>
</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'>
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"'>
</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'>
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"'>
</span></span> <span style='font-size:11.0pt'><b>Mean:</b></span><span
style='font-size:11.0pt'> 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"'> </span>
<span style='font-size:11.0pt;layout-grid-mode:line'><b>#YES:</b></span><span
style='font-size:11.0pt'> 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"'> </span></span> <span
style='font-size:11.0pt'><b>#yes:</b></span><span style='font-size:11.0pt'>
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"'> </span></span> <span
style='font-size:11.0pt'><b>%Wrng:</b></span><span style='font-size:11.0pt'>
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"'> </span></span> <span
style='font-size:11.0pt'><b>S.D.:</b></span><span style='font-size:11.0pt'>
<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"'> </span></span> <span
style='font-size:11.0pt'><b>Skew.:</b></span><span style='font-size:11.0pt'>
<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"'> </span></span> <span
style='font-size:11.0pt'><b>DoDiff:</b></span><span style='font-size:11.0pt'>
<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"'> </span></span> <span
style='font-size:11.0pt'><b>Dis.F.:</b></span><span style='font-size:11.0pt'>
<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. 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"'>
</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. </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"'>
</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
</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'> </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. 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"> </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. 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. 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 <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"> <img width=125 height=120
src="Session%20Tw2_files/image135.png" v:shapes="_x0000_i1070"> </span></p>
</div></td>
</tr>
</table>
</span></td></tr> </table>
<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'>
Atwood Machine Problem
according </span></p>
<p><span style='font-size:9.0pt'>
to every concept in 1 interval time.</span></p>
</div></td>
</tr>
</table>
</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"> </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"> </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"> </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. 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"> </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"> </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"> </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'>.
A ÔYÕ show that the student has solved the problem and ÔNÕ shows his/her
failure. 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 Map </b><span style='font-weight:normal'>
<img width=215 height=18
src="Session%20Tw2_files/image154.png" v:shapes="_x0000_i1078"> <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"> </td>
<td width=153 class="Normal"> </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. 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. <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'> </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> or <u>/adm/roles,</u>
or <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: </p>
<p><u>144) 1010955846: studentX --> /adm/navmaps</u> <br>
<i>145) 1010955205: studentX --> /res/msu/mmp/kap14/picts/beta_eqn.gif</i><span
style='font-style:normal'> <br>
<u>146) 1010955685: studentX --> /adm/navmaps</u> <br>
<u>147) 1010955988: studentX --> /adm/navmaps</u> <br>
</span><span style='font-size:8.0pt'><b>148) 1010955998: studentX -->
msu/mmp/kap14/kap14.sequence___5___msu/mmp/kap14/cd396.htm</b></span>
<br>
<i>149) 1010955999: studentX --> /res/msu/mmp/kap14/picts/velocity_eqn3.gif</i>
<br>
<i>150) 1010956000: studentX --> /res/msu/mmp/kap14/picts/time_eqn.gif</i><span style='font-style:normal'>
<br>
151) 1010954609: studentX --> /res/adm/pages/grds.gif <br>
</span><i>152) 1010954611: studentX --> /res/msu/mmp/wordproc.gif</i><span
style='font-style:normal'> <br>
153) 1010954626: studentX --> /res/adm/pages/i.gif <br>
</span><span style='font-size:8.0pt'><b>154) 1010955717: studentX -->
msu/mmp/kap14/kap14.sequence___1___msu/mmp/kap14/cd392.htm</b></span>
<br>
<i>155) 1010955717: studentX --> /res/msu/mmp/kap14/picts/backsoun.gif</i>
<br>
<span style='font-size:8.0pt'><b>156) 1010955920: studentX --> msu/mmp/kap14/kap14.sequence___3___msu/mmp/kap14/cd394.htm</b></span>
<br>
<i>157) 1010955921: studentX --> /res/msu/mmp/gifs/demo.gif</i><span
style='font-style:normal'> <br>
158) 1010956113: studentX --> /res/adm/pages/v.gif <br>
159) 1010954629: studentX --> /res/adm/pages/eval.gif <br>
160) 1010954631: studentX --> /res/adm/pages/back.gif <br>
161) 1010954632: studentX --> /res/adm/pages/b.gif <br>
162) 1010954633: studentX --> /res/adm/pages/r.gif <br>
</span><span style='font-size:9.0pt'><b>163) 1010955754:</b></span><b>
studentX --> msu/mmp/kap14/kap14.sequence___2___msu/mmp/kap14/cd393.htm</b><span
style='font-weight:normal'> <br>
<i>164) 1010955756: studentX --> /res/msu/mmp/kap14/picts/asound.jpg</i></span>
<br>
<i>165) 1010955762: studentX --> /res/msu/mmp/kap14/picts/sensor.jpg</i>
<br>
<i>166) 1010955999: studentX --> /res/msu/mmp/gifs2/example.gif</i><span
style='font-style:normal'> <br>
173) 1010955687: studentX --> /res/adm/pages/u.gif <br>
174) 1010955688: studentX --> /res/adm/pages/s.gif <br>
175) 1010955688: studentX --> /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> --> 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> --></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> --></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 -->
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 --> /res/msu/mmp/kap14/picts/areal.gif</i></span><span
style='font-size:11.0pt'> <br>
185) 1010955731: studentX --> /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"'> </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"'>
</span> Total number of correct answers. </p>
<p> 2.<span style='font:7.0pt "Times New Roman"'>
</span> Total number of tries for doing homework. </p>
<p> 3.<span style='font:7.0pt "Times New Roman"'>
</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"'>
</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"'>
</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"'>
</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"'>
</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"'>
</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>
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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