{"id":1856,"date":"2017-07-29T00:31:54","date_gmt":"2017-07-29T00:31:54","guid":{"rendered":"http:\/\/www.revista-educacion-matematica.org.mx\/revista\/?p=1856"},"modified":"2017-07-29T00:34:29","modified_gmt":"2017-07-29T00:34:29","slug":"mathematization-and-mathematical-work-in-creating-simulators-with-geogebra","status":"publish","type":"post","link":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2017\/07\/29\/mathematization-and-mathematical-work-in-creating-simulators-with-geogebra\/","title":{"rendered":"Mathematization and Mathematical Work in Creating Simulators with GeoGebra"},"content":{"rendered":"<p><a href=\"mailto:rafael.gutierrez0593@gmail.com\">Rafael E. Guti\u00e9rrez A.<\/a><br \/>\n<a href=\"mailto:juanl.prietog@gmail.com\">Juan Luis Prieto G.<\/a><br \/>\n<a href=\"ortizbuitrago@gmail.com\">Jos\u00e9 Ortiz Buitrago<\/a><\/p>\n<p><strong>Abstract :<\/strong> The article focuses on the modeling processes through which a group<br \/>\nof students learn mathematics while participating in a simulation experience with<br \/>\nGeoGebra. Specifically, a cognitive perspective is taken to analyze the processes<br \/>\nof mathematization and mathematical work carried out by these students when<br \/>\nrepresenting a piece that composes the mechanism of a steam engine type<br \/>\nNewcomen. This perspective refers to the \u201cmodeling cycle\u201d of Blum, Lei\u03b2 (2007),<br \/>\nspecifically regarding the transit through the real model phases, mathematical<br \/>\nmodel and mathematical results. The analysis of the cognitive processes contributed<br \/>\nto identify nine episodes that reveal how the students, with the guidance<br \/>\nof a teacher, generated a mathematical model useful to represent the piece in<br \/>\nthe GeoGebra and constructed a dynamic drawing associated with this model.<br \/>\nThe results obtained account for the existence of types of mathematical models<br \/>\ngenerated in mathematisation, different levels of analysis in mathematical work<br \/>\nand characteristics of the role that teachers play in guiding the development of<br \/>\nthe activity.<br \/>\n<strong>Keywords:<\/strong> Mathematical modeling, Creating simulators with GeoGebra, cognitive<br \/>\nprocess, construction tasks, dynamic drawing.<\/p>\n<p>DOI: 10.24844\/EM2902.02<\/p>\n<p><a href=\"\/descargas\/Vol29\/2\/02Gutierrez.pdf\"><img loading=\"lazy\" class=\"size-full wp-image-279 alignright\" src=\"http:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-content\/uploads\/2016\/05\/download.png\" alt=\"\" width=\"200\" height=\"71\" srcset=\"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-content\/uploads\/2016\/05\/download.png 200w, https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-content\/uploads\/2016\/05\/download-150x53.png 150w\" sizes=\"(max-width: 200px) 100vw, 200px\" \/><\/a><\/p>\n<p><span style=\"border-radius: 2px; text-indent: 20px; width: auto; padding: 0px 4px 0px 0px; text-align: center; font: bold 11px\/20px 'Helvetica Neue',Helvetica,sans-serif; color: #ffffff; background: #bd081c no-repeat scroll 3px 50% \/ 14px 14px; position: absolute; opacity: 1; z-index: 8675309; display: none; cursor: pointer;\">Guardar<\/span><\/p>\n<p><span style=\"border-radius: 2px; text-indent: 20px; width: auto; padding: 0px 4px 0px 0px; text-align: center; font: bold 11px\/20px 'Helvetica Neue',Helvetica,sans-serif; color: #ffffff; background: #bd081c no-repeat scroll 3px 50% \/ 14px 14px; position: absolute; opacity: 1; z-index: 8675309; display: none; cursor: pointer;\">Guardar<\/span><\/p>\n<p><span style=\"border-radius: 2px; text-indent: 20px; width: auto; padding: 0px 4px 0px 0px; text-align: center; font: bold 11px\/20px 'Helvetica Neue',Helvetica,sans-serif; color: #ffffff; background: #bd081c  no-repeat scroll 3px 50% \/ 14px 14px; position: absolute; opacity: 1; z-index: 8675309; display: none; cursor: pointer;\">Guardar<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rafael E. Guti\u00e9rrez A. Juan Luis Prieto G. Jos\u00e9 Ortiz Buitrago Abstract : The article focuses on the modeling processes through which a group of students learn mathematics while participating in a simulation experience with GeoGebra. Specifically, a cognitive perspective is taken to analyze the processes of mathematization and mathematical\u2026 <a class=\"continue-reading-link\" href=\"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/2017\/07\/29\/mathematization-and-mathematical-work-in-creating-simulators-with-geogebra\/\">Continue reading<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[569],"tags":[],"_links":{"self":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/1856"}],"collection":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/comments?post=1856"}],"version-history":[{"count":2,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/1856\/revisions"}],"predecessor-version":[{"id":1858,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/posts\/1856\/revisions\/1858"}],"wp:attachment":[{"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/media?parent=1856"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/categories?post=1856"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.revista-educacion-matematica.org.mx\/revista\/wp-json\/wp\/v2\/tags?post=1856"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}