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<h1>
Analysis of errors in learning techniques
</h1>
This page shows the results of analysis of error distribution throughout learning techniques used in four performed tasks. You see the total number of errors per particular technique. Observe that the main errors stem from inability to relate objectives and solution steps; accordingly, the recommended exercise aims at the development of this ability.
<hr  align="center" width="100%" size="1" ></hr>
<div align="center"><h1>Analysis: techniques - All performed tasks</h1></div>
<b>Contents</b>
<table width="100%"><tr><td></td><td>
<a href="#pont0">Table</a>
</td></tr><tr><td></td><td>
<a href="#tont0">Plot</a>
</td></tr><tr><td></td><td>
<a href="#font0">Methodical recommendations:</a>
</td></tr>
</table>
<a name="font0"></a><a href="#cont0"><b>Methodical recommendations:</b></a><br></br>
<br></br>
<b>Perform the task</b>
<br></br>
Rational equations<br></br>
Quadratic equations<br></br>
Equations. Method of substitution. Grouping method<br></br>
Solve the equation<br></br>
<table width="100%">
<tr>
<td>
</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>
<b>Solve the problem with the following technique(s)</b>
<table width="100%">
<tr>
<td>
</td>
<td width="95%">
Scheme "To relate categories with the step 7"
</td>
</tr>
</table>
<a name="pont0"></a><a href="#cont0"><b>Table</b></a>
<br></br>
<br></br>
<table width="100%" border="1" cellspacing="1" cellpadding="1" bordercolor="#3399CC">
<tr bgcolor="#336699" class="tableh1">
<td width="3%">
<b>N</b>
</td>
<td><div align="center">
Methodical schemes
</div></td>
<td width="5%">
Errors:
</td>
<td width="5%">
Hints:
</td>
<td width="5%">
Total:
</td>
</tr>
<tr>
<td bgcolor="#CCCCCC">
<b>0</b>
</td>
<td >
Scheme "To relate categories with the step 7"
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>22</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>32</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>54</b></div>
</td>
</tr>
<tr>
<td bgcolor="#CCCCCC">
<b>1</b>
</td>
<td >
Scheme "To relate the step with category 7"
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>27</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>9</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>36</b></div>
</td>
</tr>
<tr>
<td bgcolor="#CCCCCC">
<b>2</b>
</td>
<td >
Scheme "To select for transformation 1"
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>14</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>9</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>23</b></div>
</td>
</tr>
<tr>
<td bgcolor="#CCCCCC">
<b>3</b>
</td>
<td >
Scheme "To solve independently 1"
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>7</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>9</b></div>
</td>
<td bgcolor="#CCCCCC">
<div align="center"><b>16</b></div>
</td>
</tr>
</table>
<br></br>
<a name="tont0"></a><a href="#cont0"><b>Plot</b></a>
<div align="center"><table>
<tr>
<td>
<img src="2.jpg"  border="0" align="bottom" alt="detail" width="726" height="520"></img>
</td>
</tr>
</table></div>
<hr  align="center" width="100%" size="1" ></hr>
<div align="center"><span class="bottom">
<div>EMTeachline &#x00A9; 2003-2005</div>
<div>Utrecht, The Netherlands </div></span></div>
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