<?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>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332013000200012</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Dados, palitos, pixels y bits: alternativas didácticas para explorar la metodología de monte carlo en un tono lúdico]]></article-title>
<article-title xml:lang="en"><![CDATA[Dice, sticks, pixels and bits: didactic alternatives to explore the methodology of monte carlo in a ludic tone]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Navone]]></surname>
<given-names><![CDATA[Hugo D.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Scancich]]></surname>
<given-names><![CDATA[Miriam]]></given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zorzi]]></surname>
<given-names><![CDATA[Alejandra F.]]></given-names>
</name>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Universidad Nacional de Rosario Facultad de Ciencias Exactas, Ingeniería y Agrimensura ]]></institution>
<addr-line><![CDATA[ Rosario]]></addr-line>
<country>Argentina</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2013</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2013</year>
</pub-date>
<volume>20</volume>
<numero>2</numero>
<fpage>275</fpage>
<lpage>288</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332013000200012&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332013000200012&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332013000200012&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[En este artículo se presentan estrategias didácticas en tono lúdico para explorar la metodología de Monte Carlo y se analizan las puestas en práctica realizadas en diversos escenarios educativos. Las propuestas elaboradas permiten poner en acción conceptos de probabilidad y estadística de un modo divertido y atrayente mediante la realización de &#8220;experimentos-juegos&#8221; cooperativos con objetos reales y virtuales. Cada estrategia está dirigida a profesores de escuelas secundarias y de institutos de formación docente, y también al ciclo básico de la Universidad, para que sea modificada, recreada y profundizada de acuerdo a las áreas específicas de aplicación.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[This paper presents didactic strategies in a ludic tone to explore the methodology of Monte Carlo and analizes the implementations that have been performed in several educational scenarios. These proposals allow us to put into action concepts of probability and statistics in an amusing and attractive way by conducting cooperative &#8220;experiments-games&#8221; that are based on the use of real and virtual objects. Each strategy is aimed to teachers of high school and teacher training institutes, and also for early stages at University level, in order to be modified, recreated, and enhanced according to the specific areas of application.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[educación en matemática]]></kwd>
<kwd lng="es"><![CDATA[simulación de procesos aleatorios]]></kwd>
<kwd lng="es"><![CDATA[método de Monte Carlo]]></kwd>
<kwd lng="es"><![CDATA[LOGO]]></kwd>
<kwd lng="en"><![CDATA[mathematics education]]></kwd>
<kwd lng="en"><![CDATA[random process simulation]]></kwd>
<kwd lng="en"><![CDATA[Monte Carlo method]]></kwd>
<kwd lng="en"><![CDATA[LOGO]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <div style="text-align: justify;">     <div style="text-align: center;"><font style="font-weight: bold;"  size="4"><span style="font-family: verdana;">Dados, palitos, pixels y bits: alternativas did&aacute;cticas para explorar la metodolog&iacute;a de monte carlo en un tono l&uacute;dico</span></font><br  style="font-family: verdana;"> </div> <br style="font-family: verdana;">     <div style="text-align: center;"><font style="font-weight: bold;"  size="4"><span style="font-family: verdana;">Dice, sticks, pixels and bits: didactic alternatives to explore the methodology of monte carlo in a ludic tone</span></font><br style="font-family: verdana;"> </div> <br style="font-family: verdana;">     <div style="text-align: center;"><font size="2"><span  style="font-family: verdana;">Hugo D. Navone<sup><a href="#1">*</a><a  name="4"></a>+</sup>, Miriam Scancich<sup><a href="#2">&#8224;</a><a name="5"></a>+</sup>, Alejandra F. Zorzi<sup><a href="#3">&#8225;</a><a name="6"></a>+</sup></span></font><br  style="font-family: verdana;"> </div> <font size="2"><span style="font-family: verdana;"></span></font><font  size="2"><span style="font-family: verdana;">    <br> </span></font><font size="2"><span style="font-family: verdana;"><a  name="Correspondencia2"></a>*<a href="#Correspondencia1">Direcci&oacute;n para correspondencia:</a><br style="font-family: verdana;"> </span></font> <hr style="width: 100%; height: 2px;"><font size="3"><span  style="font-family: verdana; font-weight: bold;">Resumen</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">En este art&iacute;culo se presentan estrategias did&aacute;cticas en tono l&uacute;dico para explorar la metodolog&iacute;a de Monte Carlo y se analizan las puestas en pr&aacute;ctica realizadas en diversos escenarios educativos. Las propuestas elaboradas permiten poner en acci&oacute;n conceptos de probabilidad y estad&iacute;stica de un modo divertido y atrayente mediante la realizaci&oacute;n de &#8220;experimentos-juegos&#8221; cooperativos con objetos reales y virtuales. Cada estrategia est&aacute; dirigida a profesores de escuelas secundarias y de institutos de formaci&oacute;n docente, y tambi&eacute;n al ciclo b&aacute;sico de la Universidad, para que sea modificada, recreada y profundizada de acuerdo a las &aacute;reas espec&iacute;ficas de aplicaci&oacute;n.</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;"><span  style="font-weight: bold;">Palabras clave:</span> educaci&oacute;n en matem&aacute;tica, simulaci&oacute;n de procesos aleatorios, m&eacute;todo de Monte Carlo, LOGO.</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="3"><span style="font-family: verdana; font-weight: bold;">Abstract</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">This paper presents didactic strategies in a ludic tone to explore the methodology of Monte Carlo and analizes the implementations that have been performed in several educational scenarios. These proposals allow us to put into action concepts of probability and statistics in an amusing and attractive way by conducting cooperative &#8220;experiments-games&#8221; that are based on the use of real and virtual objects. Each strategy is aimed to teachers of high school and teacher training institutes, and also for early stages at University level, in order to be modified, recreated, and enhanced according to the specific areas of application.</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;"><span  style="font-weight: bold;">Keywords:</span> mathematics education, random process simulation, Monte Carlo method, LOGO.</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;"><span  style="font-weight: bold;">Mathematics Subject Classification: </span>97A20, 97M10, 97Q60, 97R80.</span></font><br  style="font-family: verdana;"> <hr style="width: 100%; height: 2px;"><span  style="color: rgb(0, 0, 0); font-family: verdana; font-size: small; font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; text-align: justify; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px; background-color: rgb(255, 255, 255); display: inline ! important; float: none;">    <br> Ver contenido disponible en pdf<span class="Apple-converted-space">     <br>     <br> </span></span> <hr style="width: 100%; height: 2px;">    <!-- ref --><br> <font size="3"><span style="font-family: verdana; font-weight: bold;">Referencias</span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[1] Jacovkis, P. (2004) &#8220;Computadoras, modelizaci&oacute;n matem&aacute;tica y ciencia experimental&#8221;, <span style="font-style: italic;">Mec&aacute;nica Computacional</span> XXIII: 2747&#8211;2758.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957835&pid=S1409-2433201300020001200001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[2] Cornejo, J. N. (2006) &#8220;La ense&ntilde;anza de la ciencia y la tecnolog&iacute;a en la escuela argentina (1880-2000): Un an&aacute;lisis de los textos&#8221;, <span style="font-style: italic;">Ense&ntilde;anza de las Ciencias</span> 24: 357&#8211;370.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957836&pid=S1409-2433201300020001200002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[3] Navone, H.D.; Scancich, M.; Melita, J.; Barbarach, N.; Marti&ntilde;ena, O.; Aquilano, R. (2010) &#8220;Ciencia escolar y juego: Una aproximaci&oacute;n l&uacute;dica a la metodolog&iacute;a de Monte Carlo&#8221;,<span style="font-style: italic;"> Memorias I Jornada de Investigaci&oacute;n Participativa en Educaci&oacute;n</span>, Dolores, Buenos Aires.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957837&pid=S1409-2433201300020001200003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[4] Dias de Deus, J.; Pimenta M.; Noronha, A.; Pe&ntilde;a, T.; Brogueira, P. (2001) <span  style="font-style: italic;">Introducci&oacute;n a la F&iacute;sica</span>. McGraw-Hill, Madrid.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957838&pid=S1409-2433201300020001200004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><br>     <!-- ref --><br> [5] Landau, R.H.; P&aacute;ez Mej&iacute;a, M.J. (1997) <span style="font-style: italic;">Computational Physics</span>. John Wiley &amp; Sons, New York.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957840&pid=S1409-2433201300020001200005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[6] Jain, S. (1992) <span  style="font-style: italic;">Monte Carlo Simulations of Disordered Systems</span>. World Scientific, Londres.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957841&pid=S1409-2433201300020001200006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[7] Navarro, J. (2011) <span style="font-style: italic;">Los Secretos del N&uacute;mero</span> </span></font><span  style="font-size: 11pt; line-height: 115%; font-family: CMMI10;">&#960;</span><font  size="2"><span style="font-family: verdana;">. EDITEC, Rodesa (Espa&ntilde;a).    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957842&pid=S1409-2433201300020001200007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[8] Navone, H.D.; Turner, P.A. (2008) &#8220;F&iacute;sica computacional en el nivel medio: &iquest;Una asignatura pendiente?&#8221;, <span style="font-style: italic;">Revista de Ense&ntilde;anza de la F&iacute;sica</span> 21: 61&#8211;74.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957843&pid=S1409-2433201300020001200008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[9] Freire, P. (2005) <span style="font-style: italic;">Pedagog&iacute;a de la autonom&iacute;a</span>. Siglo XXI, Buenos Aires.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957844&pid=S1409-2433201300020001200009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><br>     <!-- ref --><br> [10] Pasquali, R. (2011) &#8220;Cuando la naturaleza juega a los dados&#8221;, en: http://www.educ.ar/educar/cuando-la-naturaleza-juega-a-losdados.html, consultado el 13/02/2012, 20:54.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957846&pid=S1409-2433201300020001200010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[11] Resnick, R.; Halliday, D.; Krane, K.S. (2008) <span style="font-style: italic;">F&iacute;sica</span>. Grupo Editorial Patria, M&eacute;xico.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957847&pid=S1409-2433201300020001200011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><!-- ref --></span></font><br  style="font-family: verdana;"> <br style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">[12] Jou, D.; Llebot, J.E.; P&eacute;rez Garc&iacute;a, C. (1995) <span style="font-style: italic;">F&iacute;sica para Ciencias de la Vida</span>. McGraw-Hill, Madrid.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1957848&pid=S1409-2433201300020001200012&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --><br>     <br> <a name="Correspondencia1"></a><a href="#Correspondencia2">*</a>Correspondencia a:    <br> </span></font><font size="2"><span style="font-family: verdana;"></span></font><font  size="2"><span style="font-family: verdana;">Hugo D. Navone. </span></font><font  size="2"><span style="font-family: verdana;">Facultad de Ciencias Exactas, Ingenier&iacute;a y Agrimensura, Universidad Nacional de Rosario; Instituto de F&iacute;sica de Rosario (CONICET-UNR); Observatorio Astron&oacute;mico Municipal de Rosario, Rosario, Argentina. E-Mail: navone@ifir-conicet.gov.ar</span></font><br  style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">Miriam Scancich. </span></font><font  size="2"><span style="font-family: verdana;">Misma direcci&oacute;n que/Same address as: H.D. Navone. E-Mail: scancich@fceia.unr.edu.ar</span></font><br  style="font-family: verdana;"> <font size="2"><span style="font-family: verdana;">Alejandra F. Zorzi. </span></font><font  size="2"><span style="font-family: verdana;">Misma direcci&oacute;n que/Same address as: H.D. Navone. E-Mail:zorzi@ifir-conicet.gov.ar    <br> </span></font><font size="2"><span style="font-family: verdana;"><a  name="1"></a><a href="#4">*</a>Facultad de Ciencias Exactas, Ingenier&iacute;a y Agrimensura, Universidad Nacional de Rosario; Instituto de F&iacute;sica de Rosario (CONICET-UNR); Observatorio Astron&oacute;mico Municipal de Rosario, Rosario, Argentina. E-Mail: navone@ifir-conicet.gov.ar</span></font><br  style="font-family: verdana;"> <font size="2"> <span style="font-family: verdana;"><a name="2"></a><a href="#5">&#8224;</a>Misma direcci&oacute;n que/Same address as: H.D. Navone. E-Mail: scancich@fceia.unr.edu.ar</span></font><br  style="font-family: verdana;"> <font size="2"> <span style="font-family: verdana;"><a name="3"></a><a href="#6">&#8225;</a>Misma direcci&oacute;n que/Same address as: H.D. Navone. E-Mail:zorzi@ifir-conicet.gov.ar</span></font><font  size="2"><span style="font-family: verdana;"></span></font><font  size="2"><span style="font-family: verdana;"></span></font><br  style="font-family: verdana;"> </div> <hr  style="width: 100%; height: 2px; margin-left: 0px; margin-right: 0px;">     <div style="text-align: center;"><font size="2"><span  style="font-family: verdana; font-weight: bold;">Received: 21/Feb/2012; Revised: 29/Apr/2013; Accepted: 28/May/2013</span></font><br  style="font-family: verdana;"> </div>      ]]></body><back>
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