<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1870-3542</journal-id>
<journal-title><![CDATA[Revista mexicana de física E]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fís. E]]></abbrev-journal-title>
<issn>1870-3542</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1870-35422013000100008</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Probing students' critical thinking processes by presenting ill-defined physics problems]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Erceg]]></surname>
<given-names><![CDATA[N]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Aviani]]></surname>
<given-names><![CDATA[I]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Me&#353;ic]]></surname>
<given-names><![CDATA[V]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,University of Rijeka Department of Physics ]]></institution>
<addr-line><![CDATA[Rijeka ]]></addr-line>
<country>Croatia</country>
</aff>
<aff id="A02">
<institution><![CDATA[,University of Split Croatia and Faculty of Science Institute of Physics]]></institution>
<addr-line><![CDATA[Split ]]></addr-line>
<country>Croatia</country>
</aff>
<aff id="A03">
<institution><![CDATA[,University of Sarajevo Faculty of Science ]]></institution>
<addr-line><![CDATA[Sarajevo ]]></addr-line>
<country>Bosnia and Herzegovina</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2013</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2013</year>
</pub-date>
<volume>59</volume>
<numero>1</numero>
<fpage>65</fpage>
<lpage>76</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1870-35422013000100008&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1870-35422013000100008&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1870-35422013000100008&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Students' reflections on the meaningfulness of physics problem statements and solutions were investigated. The sample consisted of 276 Croatian high school/university students. The students, being at the different learning levels, were all familiar with the physical concepts concerned. Students' critical thinking processes were explored based on their responses to two open-ended ill-defined problems. Further, the teachers' ability to predict the typical students' approach to problem solving was investigated. For this purpose, 48 teachers were administered the closed-ended questionnaire composed of the empirically obtained students' responses to the two ill-defined problems. The results show that ill-defined problems have the potential of eliciting a whole diversity of deep-rooted students' ideas regarding the meaningfulness of problem statements and solutions. Further, the results indicate that the level of students' critical thinking is low regardless of their educational level and curriculum. It seems that traditional teaching does not sufficiently develop critical thinking. The teachers correctly judge the students' ability to consider the meaningfulness of the solution but they significantly overestimate their criticism towards the problem statement. We believe this kind of problems could facilitate the teachers' efforts directed at systematically developing the students' critical thinking processes. Consequently, students' coping with ill-defined problems could help them to improve their real-life competencies, as well as to develop the habit of taking a critical attitude towards the statements and solutions of physics problems.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Hemos investigado las habilidades estudiantiles de revisar la definición de un problema físico y la significatividad de la solución. La muestra constaba de 276 estudiantes de secundaria y universitarios croatas. Los estudiantes, que estaban en niveles diferentes de educación, estaban familiarizados con los conceptos físicos correspondientes. Los procesos del pensamiento crítico de estudiantes eran investigados basándose en su respuesta a dos problemas mal definidos abiertos. También era investigada la habilidad de profesores de prever el enfoque estudiantil típico. Para esta ocasión 48 profesores respondieron a una encuesta de tipo cerrado compuesta de respuestas verdaderas de los estudiantes a dos problemas mal definidos. Los resultados muestran que los problemas mal definidos pretenden estimular a los estudiantes a expresar una gama amplia de sus ideas muy arraigadas sobre la significatividad del planteamiento y la solución del problema. Los resultados indican también el nivel bajo del pensamiento crítico estudiantil, independientemente del nivel de educación y del currículo. La enseñanza tradicional obviamente no desarrolla suficientemente el pensamiento crítico. Los profesores estiman correctamente la habilidad estudiantil de revisar la realidad del resultado, pero por otra parte, sobrestiman considerablemente su criticismo a la hora de definir el problema. Creemos que este tipo de problemas podrían facilitar el esfuerzo de profesores dirigido hacia el desarrollo sistemático de los procesos del pensamiento crítico estudiantil. Por consiguiente, el afrontamiento de estudiantes a los problemas mal definidos podría ayudarles en mejorar sus competencias en la vida real, tanto como desarrollar la costumbre de tomar una postura crítica hacia la definición y la solución de problemas físicos.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Critical thinking]]></kwd>
<kwd lng="en"><![CDATA[ill-defined problem]]></kwd>
<kwd lng="en"><![CDATA[problem statement]]></kwd>
<kwd lng="en"><![CDATA[students' problem solving]]></kwd>
<kwd lng="es"><![CDATA[Pensamiento]]></kwd>
<kwd lng="es"><![CDATA[problema físico mal definido]]></kwd>
<kwd lng="es"><![CDATA[definición del problema]]></kwd>
<kwd lng="es"><![CDATA[solucionamiento estudiantil del problema]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  	    <p align="justify"><font face="verdana" size="4">Education</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="center"><font face="verdana" size="4"><b>Probing students' critical thinking processes by presenting ill&#45;defined physics problems</b></font></p>  	    <p align="center"><font face="verdana" size="2"><b>&nbsp;</b></font></p>  	    <p align="center"><font face="verdana" size="2"><b>N. Erceg<sup>a</sup>, I. Aviani<sup>b</sup>, and V. Me&#353;ic<sup>c</sup></b></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><sup><i>a</i></sup> <i>Department of Physics, University of Rijeka, R.Matejcic2, 51000 Rijeka, Croatia</i>.</font></p>  	    <p align="justify"><font face="verdana" size="2"><i><sup>b</sup> Institute of Physics, BijeniCka c. 46, Hr&#45;10002 Zagreb, Croatia and Faculty of Science, University of Split, Teslina 12, 21000 Split, Croatia</i>.</font></p>  	    <p align="justify"><font face="verdana" size="2"><i><sup>c</sup> Faculty of Science, University of Sarajevo, Zmaja od Bosne 33&#45;35, 71000 Sarajevo, Bosnia and Herzegovina.</i></font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2">Received 7 March 2013;    <br> 	Aaccepted 26 April 2013.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Abstract</b></font></p>  	    <p align="justify"><font face="verdana" size="2">Students' reflections on the meaningfulness of physics problem statements and solutions were investigated. The sample consisted of 276 Croatian high school/university students. The students, being at the different learning levels, were all familiar with the physical concepts concerned. Students' critical thinking processes were explored based on their responses to two open&#45;ended ill&#45;defined problems. Further, the teachers' ability to predict the typical students' approach to problem solving was investigated. For this purpose, 48 teachers were administered the closed&#45;ended questionnaire composed of the empirically obtained students' responses to the two ill&#45;defined problems. The results show that ill&#45;defined problems have the potential of eliciting a whole diversity of deep&#45;rooted students' ideas regarding the meaningfulness of problem statements and solutions. Further, the results indicate that the level of students' critical thinking is low regardless of their educational level and curriculum. It seems that traditional teaching does not sufficiently develop critical thinking. The teachers correctly judge the students' ability to consider the meaningfulness of the solution but they significantly overestimate their criticism towards the problem statement. We believe this kind of problems could facilitate the teachers' efforts directed at systematically developing the students' critical thinking processes. Consequently, students' coping with ill&#45;defined problems could help them to improve their real&#45;life competencies, as well as to develop the habit of taking a critical attitude towards the statements and solutions of physics problems.</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Keywords:</b> Critical thinking; ill&#45;defined problem; problem statement; students' problem solving.</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>Resumen</b></font></p>  	    <p align="justify"><font face="verdana" size="2">Hemos investigado las habilidades estudiantiles de revisar la definici&oacute;n de un problema f&iacute;sico y la significatividad de la soluci&oacute;n. La muestra constaba de 276 estudiantes de secundaria y universitarios croatas. Los estudiantes, que estaban en niveles diferentes de educacion, estaban familiarizados con los conceptos f&iacute;sicos correspondientes. Los procesos del pensamiento cr&iacute;tico de estudiantes eran investigados basandose en su respuesta a dos problemas mal definidos abiertos. Tambien era investigada la habilidad de profesores de prever el enfoque estudiantil t&iacute;pico. Para esta ocasion 48 profesores respondieron a una encuesta de tipo cerrado compuesta de respuestas verdaderas de los estudiantes a dos problemas mal definidos. Los resultados muestran que los problemas mal definidos pretenden estimular a los estudiantes a expresar una gama amplia de sus ideas muy arraigadas sobre la significatividad del planteamiento y la solucion del problema. Los resultados indican tambien el nivel bajo del pensamiento cr&iacute;tico estudiantil, independientemente del nivel de educacion y del curr&iacute;culo. La enser&iacute;anza tradicional obviamente no desarrolla suficientemente el pensamiento cr&iacute;tico. Los profesores estiman correctamente la habilidad estudiantil de revisar la realidad del resultado, pero por otra parte, sobrestiman considerablemente su criticismo a la hora de definir el problema. Creemos que este tipo de problemas podr&iacute;an facilitar el esfuerzo de profesores dirigido hacia el desarrollo sistem&aacute;tico de los procesos del pensamiento cr&iacute;tico estudiantil. Por consiguiente, el afrontamiento de estudiantes a los problemas mal definidos podr&iacute;a ayudarles en mejorar sus competencias en la vida real, tanto como desarrollar la costumbre de tomar una postura cr&iacute;tica hacia la definicion y la solucion de problemas f&iacute;sicos.</font></p>  	    ]]></body>
<body><![CDATA[<p align="justify"><font face="verdana" size="2"><b>Descriptores:</b> Pensamiento; problema f&iacute;sico mal definido; definicion del problema; solucionamiento estudiantil del problema.</font></p>  	    <p align="justify"><font face="verdana" size="2">PACS: 01.40.Fk; 01.40.gb; 01.55.+b</font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><a href="/pdf/rmfe/v59n1/v59n1a8.pdf" target="_blank">DESCARGAR ART&Iacute;CULO EN FORMATO PDF</a></font></p>  	    <p align="justify"><font face="verdana" size="2">&nbsp;</font></p>  	    <p align="justify"><font face="verdana" size="2"><b>References</b></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">1.&nbsp;S. Carol, <i>Encyclopedia of days: Start the day with history</i> (iU&#45;niverse, Bloomington, 2009).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520178&pid=S1870-3542201300010000800001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">2.&nbsp;T. Rennell, September 26th, 1983: The day the world almost died. Retrieved from <a href="http://www.dailymail.co.uk/news/article&#45;505009/September-26th-1983-The-day-world-died.html" target="_blank">http://www.dailymail.co.uk/news/article&#45;505009/September&#45;26th&#45;1983&#45;The&#45;day&#45;world&#45;died.html</a></font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520180&pid=S1870-3542201300010000800002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">3.&nbsp;Russia Today, Soviet officer who 'saved the world from WWIII' gets Dresden Peace Prize. Retrieved from <a href="http://rt.com/news/soviet-officer-awarded-dresden-530/" target="_blank">http://rt.com/news/soviet&#45;officer&#45;awarded&#45;dresden&#45;530/</a></font>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520181&pid=S1870-3542201300010000800003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --><p align="justify"><font face="verdana" size="2">4.&nbsp;L. C. McDermott, <i>Am. J. Phys.</i> <b>61</b> (1993) 295.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520182&pid=S1870-3542201300010000800004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">5.&nbsp;V. Kariz Merhar, <i>Phys. Teach.</i> <b>39</b> (2001) 338.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520184&pid=S1870-3542201300010000800005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">6.&nbsp;A. H. Schoenfeld, <i>Educ. Psychol.</i> <b>23</b> (1988) 145.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520186&pid=S1870-3542201300010000800006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">7.&nbsp;M. T. H. Chi, P. J. Feltovich and R. Glaser, <i>Cogn. Sci.</i> <b>5</b> (1981) 121.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520188&pid=S1870-3542201300010000800007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    <!-- ref --><p align="justify"><font face="verdana" size="2">8.&nbsp;F. Reif and J. I. Heller, <i>Educ. Psychol.</i> <b>17</b> (1982) 102.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=8520190&pid=S1870-3542201300010000800008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font></p>  	    ]]></body>
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