From: Chris S. <san...@us...> - 2010-07-30 13:09:01
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Update of /cvsroot/stack/stack-dev/sample_questions/diagnostictests In directory sfp-cvsdas-3.v30.ch3.sourceforge.com:/tmp/cvs-serv6994/sample_questions/diagnostictests Modified Files: diagnostic-proof-Wason.xml Log Message: Index: diagnostic-proof-Wason.xml =================================================================== RCS file: /cvsroot/stack/stack-dev/sample_questions/diagnostictests/diagnostic-proof-Wason.xml,v retrieving revision 1.1 retrieving revision 1.2 diff -C2 -d -r1.1 -r1.2 *** diagnostic-proof-Wason.xml 14 May 2010 18:33:23 -0000 1.1 --- diagnostic-proof-Wason.xml 30 Jul 2010 13:08:51 -0000 1.2 *************** *** 36,38 **** <p>#ans# <IEfeedback>ans</IEfeedback> ! <PRTfeedback>1</PRTfeedback></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>ta = {D,3}</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></workedSolution><questionNote type="CasText"><castext>@ta@</castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionNote></questionCasValues><questionparts><questionpart><name>ans</name><inputType type="Meta"><selection>Algebraic Input</selection><default>Algebraic Input</default><values/></inputType><boxsize>15</boxsize><teachersAns type="CasString"><casString>ta</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>ans</studentAnsKey><syntax type="Meta"><selection>{?,?}</selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/></questionpart></questionparts><PotentialResponseTrees><PotentialResponseTree><prtname>PotResTree_1</prtname><questionValue>1</questionValue><autoSimplify>true</autoSimplify><feedbackVariables>al = exdowncase(ans); tl = exdowncase(ta)</feedbackVariables><description type="Meta"><selection></selection><default></default><values/></description><PotentialResponses><PR id="0"><answerTest>AlgEquiv</answerTest><teachersAns>{d,k,3,7}</teachersAns><studentAns>al</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback>You certainly don't need to turn them all over! Please turn over the those, and only those, which will establish the truth of this statement.</feedback><ansnote>ALL</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>.</ansnote><nextPR>1</nextPR></false><teacherNote></teacherNote></PR><PR id="1"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>elementp(7,al)</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>+</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>7</ansnote><nextPR>2</nextPR></true><false><rawModMark>+</rawModMark><rawMark>0.25</rawMark><feedback></feedback><ansnote>NOT-7</ansnote><nextPR>2</nextPR></false><teacherNote></teacherNote></PR><PR 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type="Meta"><selection>diagnostic-proof-Wason</selection><default></default><values/></dc:title><dc:description stackname="questionDescription" type="Meta"><selection>Wason\'s selection test</selection><default></default><values/></dc:description><dc:publisher stackname="questionPublisher" type="Meta"><selection>http://localhost/stack-dev</selection><default>http://localhost/stack-dev</default><values/></dc:publisher><dc:format stackname="questionFormat" type="Meta"><selection>text/xml; charset="utf-8"</selection><default>text/xml; charset="utf-8"</default><values><value key="0">application</value><value key="1">audio</value><value key="2">image</value><value key="3">message</value><value key="4">model</value><value key="5">text</value><value key="6">video</value><value key="7">multipart</value></values></dc:format><lom:context stackname="questionLearningContext" type="Meta"><selection>unspecified</selection><default>unspecified</default><values><value key="PrimaryEducation">Primary 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Answer</value><value>Last Answer</value></values><casKey></casKey><casType></casType><selected>Penalty</selected></stackoption><stackoption><name>AssumePos</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey>assume_pos</casKey><casType>ex</casType><selected>false</selected></stackoption><stackoption><name>TeacherEmail</name><type>string</type><default></default><casKey></casKey><casType></casType><selected></selected></stackoption><stackoption><name>Feedback</name><type>list</type><default>TGS</default><values><value>TGS</value><value>TG</value><value>GS</value><value>T</value><value>G</value><value>S</value><value>none</value></values><casKey></casKey><casType></casType><selected>TG</selected></stackoption><stackoption><name>FeedbackGenericCorrect</name><type>html</type><default><span class='correct'>Correct answer, well done.</span></default><casKey></casKey><casType></casType><selected><span class='correct'>Correct answer, well done.</span></selected></stackoption><stackoption><name>FeedbackGenericIncorrect</name><type>html</type><default><span class='incorrect'>Incorrect answer.</span></default><casKey></casKey><casType></casType><selected><span class='incorrect'>Incorrect answer.</span></selected></stackoption><stackoption><name>FeedbackGenericPCorrect</name><type>html</type><default><span class='partially'>Your answer is partially correct.</span></default><casKey></casKey><casType></casType><selected><span class='partially'>Your answer is partially correct.</span></selected></stackoption><stackoption><name>OptWorkedSol</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption></ItemOptions><ItemTests><test><col><key>IE_ans</key><value>ta</value></col><col><key>PRT_PotResTree_1</key><value>D</value></col></test><test><col><key>IE_ans</key><value>{3}</value></col><col><key>PRT_PotResTree_1</key><value>NOT-D</value></col></test><test><col><key>IE_ans</key><value>{D,K}</value></col><col><key>PRT_PotResTree_1</key><value>D</value></col></test><test><col><key>IE_ans</key><value>{d,k,3,7}</value></col><col><key>PRT_PotResTree_1</key><value>ALL</value></col></test></ItemTests></assessmentItem> --- 36,62 ---- <p>#ans# <IEfeedback>ans</IEfeedback> ! <PRTfeedback>1</PRTfeedback></castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionStem><questionVariables type="RawKeyVal"><rawKeyVals>ta = {D,3}</rawKeyVals><forbidFloats>false</forbidFloats><simplify>true</simplify></questionVariables><workedSolution type="CasText"><castext>Turning over all the cards is not the right answer. While it ! does enable you to establish whether this is true, it is not the ! <em>fewest</em> possible cards. ! ! <p> One way to think about this statement is to re-phrase it to ! <p align="center"> ! <em>"If we see a $D$ on one side then we have a $7$ on the other."</em></p> ! ! <p>Keep in mind that every card has a number on one side and a letter on the other! ! ! <p>Do we turn over the <b>D</b>? Yes, if we see a $D$ then we ! must check if we have a $7$. This kind of if-then statement is ! known as <em>implication</em>. ! ! <p>Do we turn over the <b>3</b>? Yes, if we have a $D$ and a $3$ then the statement is false. Hence we must check for this ! possibility. We can re-phrase the statement to ! <p align="center"> ! <em>"If we do not have a $7$ on one side then we do not have $D$ ! on the other."</em></p> ! This form is known as the <em>contrapositive</em>. It is equivalent to the original statement we are trying to check. ! ! <p>Do we turn over the <b>K</b>? No, since we have not satisfied the hypothesis that we have one $D$. The other side must be a number but we don't care if it is a three or not. Any situation does not affect the truth of the statement we are trying to check. ! ! <p>Do we turn over the <b>7</b>? No, since we could easily have $D$ on one side and a $7$ on the other. The statement is unaffected. Similarly if we don't have a $D$ on the other side the statement is unaffected. ! </castext><forbidFloats>false</forbidFloats><simplify>true</simplify></workedSolution><questionNote type="CasText"><castext>@ta@</castext><forbidFloats>false</forbidFloats><simplify>true</simplify></questionNote></questionCasValues><questionparts><questionpart><name>ans</name><inputType type="Meta"><selection>Algebraic Input</selection><default>Algebraic Input</default><values/></inputType><boxsize>15</boxsize><teachersAns type="CasString"><casString>ta</casString><forbidFloats>false</forbidFloats><simplify>true</simplify></teachersAns><studentAnsKey>ans</studentAnsKey><syntax type="Meta"><selection>{?,?}</selection><default></default><values/></syntax><stackoption><name>formalSyntax</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>forbidFloats</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_NoFloats</casKey><casType>ex</casType><selected>true</selected></stackoption><stackoption><name>insertStars</name><type>list</type><default>false</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>false</selected></stackoption><stackoption><name>sameType</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey></casKey><casType></casType><selected>true</selected></stackoption><stackoption><name>lowestTerms</name><type>list</type><default>true</default><values><value>true</value><value>false</value></values><casKey>OPT_LowestTerms</casKey><casType>ex</casType><selected>true</selected></stackoption><inputTypesParameters/></questionpart></questionparts><PotentialResponseTrees><PotentialResponseTree><prtname>PotResTree_1</prtname><questionValue>1</questionValue><autoSimplify>true</autoSimplify><feedbackVariables>al = exdowncase(ans); tl = exdowncase(ta)</feedbackVariables><description type="Meta"><selection></selection><default></default><values/></description><PotentialResponses><PR id="0"><answerTest>AlgEquiv</answerTest><teachersAns>{d,k,3,7}</teachersAns><studentAns>al</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback>You certainly don't need to turn them all over! Please turn over the those, and only those, which will establish the truth of this statement.</feedback><ansnote>ALL</ansnote><nextPR>-1</nextPR></true><false><rawModMark>=</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>.</ansnote><nextPR>1</nextPR></false><teacherNote></teacherNote></PR><PR id="1"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>elementp(7,al)</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>+</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>7</ansnote><nextPR>2</nextPR></true><false><rawModMark>+</rawModMark><rawMark>0.25</rawMark><feedback></feedback><ansnote>NOT-7</ansnote><nextPR>2</nextPR></false><teacherNote></teacherNote></PR><PR id="2"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>elementp(k,al)</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>+</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>K</ansnote><nextPR>3</nextPR></true><false><rawModMark>+</rawModMark><rawMark>0.25</rawMark><feedback></feedback><ansnote>NOT-K</ansnote><nextPR>3</nextPR></false><teacherNote></teacherNote></PR><PR id="3"><answerTest>AlgEquiv</answerTest><teachersAns>true</teachersAns><studentAns>elementp(3,al)</studentAns><testoptions></testoptions><quietAnsTest></quietAnsTest><true><rawModMark>+</rawModMark><rawMark>0.25</rawMark><feedback></feedback><ansnote>3</ansnote><nextPR>4</nextPR></true><false><rawModMark>+</rawModMark><rawMark>0</rawMark><feedback></feedback><ansnote>NOT-3</ansnote><nextPR>4</nextPR></false><teacherNote></teacherNote></PR><PR 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type="Meta"><selection>diagnostic-proof-Wason</selection><default></default><values/></dc:title><dc:description stackname="questionDescription" type="Meta"><selection>Wason's selection test</selection><default></default><values/></dc:description><dc:publisher stackname="questionPublisher" type="Meta"><selection>http://localhost/stack-dev</selection><default>http://matsrv6.bham.ac.uk/stem</default><values/></dc:publisher><dc:format stackname="questionFormat" type="Meta"><selection>text/xml; charset="utf-8"</selection><default>text/xml; charset="utf-8"</default><values><value key="0">application</value><value key="1">audio</value><value key="2">image</value><value key="3">message</value><value key="4">model</value><value key="5">text</value><value key="6">video</value><value key="7">multipart</value></values></dc:format><lom:context stackname="questionLearningContext" type="Meta"><selection>unspecified</selection><default>unspecified</default><values><value key="PrimaryEducation">Primary 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