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<h1>
Error analysis - Journal
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<p><b>
Performance analysis and methodical recommendations 
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<p>This&#x00A0;&#x000D;page&#x00A0;&#x000D;was&#x00A0;&#x000D;created&#x00A0;&#x000D;by&#x00A0;&#x000D;</p>
<a href="../fc70.htm" target="_parent"><p>EMMentor_Algebra</p></a>
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<p>These&#x00A0;&#x000D;pages&#x00A0;&#x000D;demonstrate&#x00A0;&#x000D;how&#x00A0;&#x000D;user's&#x00A0;&#x000D;performance&#x00A0;&#x000D;is&#x00A0;&#x000D;analysed&#x00A0;&#x000D;and&#x00A0;&#x000D;what&#x00A0;&#x000D;you&#x00A0;&#x000D;gain&#x00A0;&#x000D;using&#x00A0;&#x000D;this&#x00A0;&#x000D;option.&#x00A0;&#x000D;The&#x00A0;&#x000D;Journal&#x00A0;&#x000D;shows&#x00A0;&#x000D;a&#x00A0;&#x000D;record&#x00A0;&#x000D;of&#x00A0;&#x000D;four&#x00A0;&#x000D;performed&#x00A0;&#x000D;tasks&#x00A0;&#x000D;with&#x00A0;&#x000D;grades&#x00A0;&#x000D;(marks)&#x00A0;&#x000D;and&#x00A0;&#x000D;summaries&#x00A0;&#x000D;of&#x00A0;&#x000D;errors.&#x00A0;&#x000D;The&#x00A0;&#x000D;performed&#x00A0;&#x000D;tasks&#x00A0;&#x000D;are&#x00A0;&#x000D;analysed&#x00A0;&#x000D;severally&#x00A0;&#x000D;and&#x00A0;&#x000D;jointly.&#x00A0;&#x000D;You&#x00A0;&#x000D;can&#x00A0;&#x000D;observe&#x00A0;&#x000D;an&#x00A0;&#x000D;analysis&#x00A0;&#x000D;of&#x00A0;&#x000D;errors&#x00A0;&#x000D;for&#x00A0;&#x000D;each&#x00A0;&#x000D;task&#x00A0;&#x000D;separately&#x00A0;&#x000D;(magnifier&#x00A0;&#x000D;icon).&#x00A0;&#x000D;Furthermore,&#x00A0;&#x000D;you&#x00A0;&#x000D;can&#x00A0;&#x000D;proceed&#x00A0;&#x000D;to&#x00A0;&#x000D;the&#x00A0;&#x000D;results&#x00A0;&#x000D;of&#x00A0;&#x000D;joint&#x00A0;&#x000D;multifactor&#x00A0;&#x000D;analysis&#x00A0;&#x000D;of&#x00A0;&#x000D;a&#x00A0;&#x000D;set&#x00A0;&#x000D;of&#x00A0;&#x000D;performed&#x00A0;&#x000D;tasks&#x00A0;&#x000D;and&#x00A0;&#x000D;find&#x00A0;&#x000D;methodical&#x00A0;&#x000D;recommendations&#x00A0;&#x000D;for&#x00A0;&#x000D;development&#x00A0;&#x000D;of&#x00A0;&#x000D;missing&#x00A0;&#x000D;skills.&#x00A0;&#x000D;The&#x00A0;&#x000D;function&#x00A0;&#x000D;of&#x00A0;&#x000D;performance&#x00A0;&#x000D;analysis&#x00A0;&#x000D;is&#x00A0;&#x000D;only&#x00A0;&#x000D;available&#x00A0;&#x000D;in&#x00A0;&#x000D;the&#x00A0;&#x000D;program&#x00A0;&#x000D;EMMentor.&#x00A0;&#x000D;With&#x00A0;&#x000D;EMMentor&#x00A0;&#x000D;you&#x00A0;&#x000D;can&#x00A0;&#x000D;get&#x00A0;&#x000D;your&#x00A0;&#x000D;work&#x00A0;&#x000D;analysed&#x00A0;&#x000D;with&#x00A0;&#x000D;same&#x00A0;&#x000D;degree&#x00A0;&#x000D;of&#x00A0;&#x000D;detalization.&#x00A0;&#x000D;EMMentor&#x00A0;&#x000D;will&#x00A0;&#x000D;detect&#x00A0;&#x000D;all&#x00A0;&#x000D;vacancies&#x00A0;&#x000D;in&#x00A0;&#x000D;your&#x00A0;&#x000D;knowledge&#x00A0;&#x000D;and&#x00A0;&#x000D;skills&#x00A0;&#x000D;and&#x00A0;&#x000D;show&#x00A0;&#x000D;the&#x00A0;&#x000D;way&#x00A0;&#x000D;to&#x00A0;&#x000D;improve.&#x00A0;&#x000D;At&#x00A0;&#x000D;the&#x00A0;&#x000D;bottom&#x00A0;&#x000D;of&#x00A0;&#x000D;this&#x00A0;&#x000D;page&#x00A0;&#x000D;we&#x00A0;&#x000D;offer&#x00A0;&#x000D;you&#x00A0;&#x000D;to&#x00A0;&#x000D;try&#x00A0;&#x000D;examples&#x00A0;&#x000D;of&#x00A0;&#x000D;learning&#x00A0;&#x000D;techniques&#x00A0;&#x000D;available&#x00A0;&#x000D;in&#x00A0;&#x000D;the&#x00A0;&#x000D;program&#x00A0;&#x000D;EMMentor.&#x00A0;&#x000D;</p>
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Multifactor&#x00A0;&#x000D;error&#x00A0;&#x000D;analysis&#x00A0;&#x000D;and&#x00A0;&#x000D;methodical&#x00A0;&#x000D;recommendations
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Methodical&#x00A0;&#x000D;recommendations&#x00A0;&#x000D;are&#x00A0;&#x000D;based&#x00A0;&#x000D;on&#x00A0;&#x000D;a&#x00A0;&#x000D;joint&#x00A0;&#x000D;multifactor&#x00A0;&#x000D;analysis&#x00A0;&#x000D;of&#x00A0;&#x000D;a&#x00A0;&#x000D;set&#x00A0;&#x000D;of&#x00A0;&#x000D;performed&#x00A0;&#x000D;tasks.&#x00A0;&#x000D;Multifactor&#x00A0;&#x000D;analysis&#x00A0;&#x000D;means&#x00A0;&#x000D;that&#x00A0;&#x000D;user's&#x00A0;&#x000D;errors&#x00A0;&#x000D;are&#x00A0;&#x000D;analysed&#x00A0;&#x000D;with&#x00A0;&#x000D;regard&#x00A0;&#x000D;to&#x00A0;&#x000D;multiple&#x00A0;&#x000D;parameters&#x00A0;&#x000D;-&#x00A0;&#x000D;to&#x00A0;&#x000D;formulas,&#x00A0;&#x000D;definitions&#x00A0;&#x000D;and&#x00A0;&#x000D;rules&#x00A0;&#x000D;used&#x00A0;&#x000D;in&#x00A0;&#x000D;the&#x00A0;&#x000D;performed&#x00A0;&#x000D;tasks,&#x00A0;&#x000D;to&#x00A0;&#x000D;applied&#x00A0;&#x000D;techniques,&#x00A0;&#x000D;topics&#x00A0;&#x000D;and&#x00A0;&#x000D;types&#x00A0;&#x000D;of&#x00A0;&#x000D;tasks.&#x00A0;&#x000D;Such&#x00A0;&#x000D;comprehensive&#x00A0;&#x000D;analysis&#x00A0;&#x000D;enables&#x00A0;&#x000D;EMMentor&#x00A0;&#x000D;to&#x00A0;&#x000D;detect&#x00A0;&#x000D;vacancies&#x00A0;&#x000D;in&#x00A0;&#x000D;user's&#x00A0;&#x000D;knowledge&#x00A0;&#x000D;and&#x00A0;&#x000D;skills&#x00A0;&#x000D;and&#x00A0;&#x000D;generate&#x00A0;&#x000D;an&#x00A0;&#x000D;optimal&#x00A0;&#x000D;set&#x00A0;&#x000D;of&#x00A0;&#x000D;tasks&#x00A0;&#x000D;to&#x00A0;&#x000D;close&#x00A0;&#x000D;the&#x00A0;&#x000D;revealed&#x00A0;&#x000D;gaps.&#x00A0;&#x000D;EMMentor&#x00A0;&#x000D;helps&#x00A0;&#x000D;you&#x00A0;&#x000D;find&#x00A0;&#x000D;out&#x00A0;&#x000D;why&#x00A0;&#x000D;you&#x00A0;&#x000D;are&#x00A0;&#x000D;struggling&#x00A0;&#x000D;in&#x00A0;&#x000D;math&#x00A0;&#x000D;and&#x00A0;&#x000D;provides&#x00A0;&#x000D;a&#x00A0;&#x000D;qualified&#x00A0;&#x000D;guidance&#x00A0;&#x000D;in&#x00A0;&#x000D;training&#x00A0;&#x000D;problem&#x00A0;&#x000D;solving&#x00A0;&#x000D;skills.&#x00A0;&#x000D;
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<hr  align="left" width="100%" size="1" ></hr>
<div align="center"><h1>Journal - 
All performed tasks</h1></div>
<table width="100%">
<tr>
<td>
<a href="#pont_0_"><b>
Example 1. </b></a></td><td width="20%">23.2.2005</td><td width="20%"> 2:59:21
</td>
<td width="20%">
Mark/grade (USA):
</td>
<td width="10%">
<b>E 19</b>
</td>
</tr>
<tr>
<td>
<a href="#pont_1_"><b>
Example 2. </b></a></td><td width="20%">23.2.2005</td><td width="20%"> 3:10:11
</td>
<td width="20%">
Mark/grade (USA):
</td>
<td width="10%">
<b>E 39</b>
</td>
</tr>
<tr>
<td>
<a href="#pont_2_"><b>
Example 3. </b></a></td><td width="20%">23.2.2005</td><td width="20%"> 3:4:39
</td>
<td width="20%">
Mark/grade (USA):
</td>
<td width="10%">
<b>E 1</b>
</td>
</tr>
<tr>
<td>
<a href="#pont_3_"><b>
Example 4. </b></a></td><td width="20%">23.2.2005</td><td width="20%"> 3:8:22
</td>
<td width="20%">
Mark/grade (USA):
</td>
<td width="10%">
<b>E 32</b>
</td>
</tr>
</table>
<hr  align="left" width="100%" size="1" ></hr>
<a name="pont_0_"></a>
<a href="#cont0"><b>
<p>23.2.2005</p>
</b></a>
<p>2:59:21</p>
<p><b>Rational equations</b></p>
<p><b>Quadratic equations</b></p>
<p><b>Equations. Grouping method</b></p>
<p><b>Solve the equation</b></p>
<table>
<tr><td>
<a href="base_1/0.xml" target="_parent">
<img src="../image/choose.gif"  border="0" align="absmiddle" alt="detail2"></img>
</a>
</td><td width="95%">
<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><msup><mfenced><mrow><mrow><mrow><mi>2 </mi><mi>t</mi></mrow><mrow><mo>+</mo><mi>9 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>+</mo><mrow><mrow><mi>2 </mi></mrow></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mi>2 </mi><mi>t</mi></mrow><mrow><mo>+</mo><mi>9 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mi>5 </mi><mi>t</mi></mrow><mrow><mo>+</mo><mi>4 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow><mo>+</mo><msup><mfenced><mrow><mrow><mrow><mi>5 </mi><mi>t</mi></mrow><mrow><mo>+</mo><mi>4 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>=</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>4 </mi><mi>t</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>6 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow></mrow></mrow></math>
</td></tr>
</table>
<p><b>
Scheme "To relate the step with category 7"
</b></p>
<table>
<tr><td>
Number of errors made:
</td><td width="70%">
<b>27</b>
</td></tr>
<tr><td>
Number of used hints:
</td><td width="70%">
<b>9</b>
</td></tr>
<tr><td>
Mark/grade (USA):
</td><td width="70%">
<b>E 19</b>
</td></tr>
</table>
<hr  align="left" width="40%" size="1" ></hr>
<a name="pont_1_"></a>
<a href="#cont0"><b>
<p>23.2.2005</p>
</b></a>
<p>3:10:11</p>
<p><b>Rational inequalities</b></p>
<p><b>Strict linear inequalities</b></p>
<p><b>Strict linear inequalities. Factorization of quadratic trinomial</b></p>
<p><b>Solve the inequality</b></p>
<table>
<tr><td>
<a href="base_2/0.xml" target="_parent">
<img src="../image/choose.gif"  border="0" align="absmiddle" alt="detail2"></img>
</a>
</td><td width="95%">
<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mrow><mfrac><mrow><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>18 </mi><msup><mi>r</mi><mi>2</mi></msup></mrow><mrow><mo>+</mo><mi>15 </mi><mi>r</mi></mrow><mrow><mo>+</mo><mi>25 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mi>2 </mi><mi>r</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>6 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow></mrow><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>6 </mi><mi>r</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>5 </mi></mrow></mrow></mrow></mfrac></mrow><mo>-</mo><mrow><mfrac><mrow><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>14 </mi><msup><mi>r</mi><mi>2</mi></msup></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>32 </mi><mi>r</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>8 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mi>3 </mi><mi>r</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>6 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow></mrow><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>7 </mi><mi>r</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>2 </mi></mrow></mrow></mrow></mfrac></mrow><mo>&#x003C;</mo><mrow><mrow><mi>0 </mi></mrow></mrow></mrow></mrow></math>
</td></tr>
</table>
<p><b>
Scheme "To solve independently 1"
</b></p>
<table>
<tr><td>
Number of errors made:
</td><td width="70%">
<b>7</b>
</td></tr>
<tr><td>
Number of used hints:
</td><td width="70%">
<b>9</b>
</td></tr>
<tr><td>
Mark/grade (USA):
</td><td width="70%">
<b>E 39</b>
</td></tr>
</table>
<hr  align="left" width="40%" size="1" ></hr>
<a name="pont_2_"></a>
<a href="#cont0"><b>
<p>23.2.2005</p>
</b></a>
<p>3:4:39</p>
<p><b>Rational equations</b></p>
<p><b>Quadratic equations</b></p>
<p><b>Equations. Method of substitution. Grouping method</b></p>
<p><b>Solve the equation</b></p>
<table>
<tr><td>
<a href="base_3/0.xml" target="_parent">
<img src="../image/choose.gif"  border="0" align="absmiddle" alt="detail2"></img>
</a>
</td><td width="95%">
<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><msup><mfenced><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>40 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>+</mo><mi>26 </mi><mi>y</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>+</mo><msup><mfenced><mrow><mrow><mrow><mi>20 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>13 </mi><mi>y</mi></mrow><mrow><mo>+</mo><mi>6 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>=</mo><msup><mfenced><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>20 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>+</mo><mi>13 </mi><mi>y</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>2 </mi></mrow></mrow></mrow></mfenced><mrow><mrow><mrow><mi>2 </mi></mrow></mrow></mrow></msup><mo>+</mo><mrow><mrow><mi>2 </mi></mrow></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mi>20 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>13 </mi><mi>y</mi></mrow><mrow><mo>+</mo><mi>6 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow><mo>&#x00B7;</mo><mrow><mo maxsize="2">(</mo><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>40 </mi><msup><mi>y</mi><mi>2</mi></msup></mrow><mrow><mo>+</mo><mi>26 </mi><mi>y</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow></mrow><mo maxsize="2">)</mo></mrow></mrow></mrow></math>
</td></tr>
</table>
<p><b>
Scheme "To relate categories with the step 7"
</b></p>
<table>
<tr><td>
Number of errors made:
</td><td width="70%">
<b>22</b>
</td></tr>
<tr><td>
Number of used hints:
</td><td width="70%">
<b>32</b>
</td></tr>
<tr><td>
Mark/grade (USA):
</td><td width="70%">
<b>E 1</b>
</td></tr>
</table>
<hr  align="left" width="40%" size="1" ></hr>
<a name="pont_3_"></a>
<a href="#cont0"><b>
<p>23.2.2005</p>
</b></a>
<p>3:8:22</p>
<p><b>Rational equations</b></p>
<p><b>Fractional algebraic equations</b></p>
<p><b>Fractional algebraic equations reduced to linear equations</b></p>
<p><b>Solve the equation</b></p>
<table>
<tr><td>
<a href="base_4/0.xml" target="_parent">
<img src="../image/choose.gif"  border="0" align="absmiddle" alt="detail2"></img>
</a>
</td><td width="95%">
<math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mrow><mrow><mfrac><mrow><mrow><mrow><mi>3 </mi><mi>t</mi></mrow><mrow><mo>+</mo><mi>4 </mi></mrow></mrow></mrow><mrow><mrow><mrow><mi>2 </mi><mi>t</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow></mrow></mfrac></mrow><mo>+</mo><mrow><mfrac><mrow><mrow><mrow><mi>4 </mi><mi>t</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow></mrow><mrow><mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>4 </mi><mi>t</mi></mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow></mrow></mfrac></mrow><mo>=</mo><mrow><mrow><mfrac><mi>1</mi><mi>2</mi></mfrac></mrow></mrow></mrow></mrow></math>
</td></tr>
</table>
<p><b>
Scheme "To select for transformation 1"
</b></p>
<table>
<tr><td>
Number of errors made:
</td><td width="70%">
<b>14</b>
</td></tr>
<tr><td>
Number of used hints:
</td><td width="70%">
<b>9</b>
</td></tr>
<tr><td>
Mark/grade (USA):
</td><td width="70%">
<b>E 32</b>
</td></tr>
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