tag:blogger.com,1999:blog-86044399021740261582024-02-06T20:04:06.716-08:00alfgordilloMatemáticas personalesAlfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.comBlogger37125tag:blogger.com,1999:blog-8604439902174026158.post-46660697160529026632015-10-19T15:19:00.000-07:002015-10-19T15:19:25.395-07:00Intervalos con geogebra<div class="separator" style="clear: both; text-align: center;">
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<span style="font-size: large;">Intervalos y geogebra</span></h2>
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Pequeña actividad para practicar con geogebra las funciones a trozos y la representación de circunferencias y parábolas.</div>
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En una gráfica, los segmentos podemos asimilarlos a rectas acotadas en un intervalo. Acordaros que una recta se puede representar de forma<strong><em><span style="font-family: Times, Times New Roman, serif;"> y=mx+n</span></em></strong> donde <span style="font-family: 'times new roman', times;"><em><strong>n</strong> </em></span>es la ordenada en el origen y<span style="font-family: 'times new roman', times;"><em><strong> m</strong></em></span> la pendiente (grado de inclinación de la recta)</div>
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Ejemplos</div>
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<a href="https://www.blogger.com/blogger.g?blogID=8604439902174026158" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=8604439902174026158" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgs52OvmjQBxA556jpyWCBu0_uOlFjyajCVi7PBOD2K1V59pameF78xaZDt19zEB38YZ1A9W9ODLoDS_FmgI47mZ2JX4P3ifoi-svQ1rk1t2wlaSsfJvgTmh7YIqi7t4gcl7CQm5DUe8osk/s1600/Ejemplo1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="163" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgs52OvmjQBxA556jpyWCBu0_uOlFjyajCVi7PBOD2K1V59pameF78xaZDt19zEB38YZ1A9W9ODLoDS_FmgI47mZ2JX4P3ifoi-svQ1rk1t2wlaSsfJvgTmh7YIqi7t4gcl7CQm5DUe8osk/s320/Ejemplo1.png" width="320" /></a></div>
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Investiga que ocurre con las circunferencias (Cómo las representa geogebra) y con las parábolas (expresiones <em><strong>ax<sup>2</sup>+ bx +c)</strong></em></div>
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Indica que rectas, circunferencias y parábolas están presentes en la siguiente construcción y en que intervalo, con un cuadro de texto para cada tramo de letra.</div>
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<a href="https://www.blogger.com/blogger.g?blogID=8604439902174026158" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=8604439902174026158" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizwRDBLYg4xGI6zh1qkfBNKzMYriZWLuejIZjHVIpIBztH1B3y1Rcp94z_lgkw5IXjw7fixNmdzBIwAdMA7voGdlTh_8amh6ZI6P9x1bIHANKZWeVvJnJGbFsAPIaywWFkn9pySDVCfQaI/s1600/Iloveyou.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="" border="0" height="160" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizwRDBLYg4xGI6zh1qkfBNKzMYriZWLuejIZjHVIpIBztH1B3y1Rcp94z_lgkw5IXjw7fixNmdzBIwAdMA7voGdlTh_8amh6ZI6P9x1bIHANKZWeVvJnJGbFsAPIaywWFkn9pySDVCfQaI/s320/Iloveyou.png" title="" width="320" /></a></div>
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Haz lo mismo escribiendo tu nombre.<br />
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Ayuda:<br />
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<a href="https://www.blogger.com/blogger.g?blogID=8604439902174026158" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><a href="https://www.blogger.com/blogger.g?blogID=8604439902174026158" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"></a><iframe height="631px" scrolling="no" src="https://tube.geogebra.org/material/iframe/id/qcKHavNR/width/1360/height/631/border/888888/rc/false/ai/false/sdz/true/smb/false/stb/false/stbh/true/ld/false/sri/true/at/auto" style="border: 0px;" width="650px"> </iframe>
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Idea gracias a <a href="http://mathtuition88.com/2015/07/01/i-love-you-math-graph/" target="_blank">http://mathtuition88.com/</a><span id="goog_1629695701"></span><span id="goog_1629695702"></span><a href="https://www.blogger.com/"></a>Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-2972757579069604722014-12-23T10:12:00.000-08:002014-12-23T10:12:38.275-08:00Felicitación Navideña<h2>
Microtarea navideña con geogebra: Árbol pitagórico</h2>
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El último día del trimestre, gracias al tuit de <a class="ProfileTweet-originalAuthorLink u-linkComplex js-nav js-user-profile-link" data-user-id="448372790" href="https://twitter.com/MatematicaPos" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; color: #0084b4; font-family: Arial, sans-serif; font-size: 14px; line-height: 14px; text-decoration: none !important;"><span class="ProfileTweet-originalAuthor u-floatLeft u-textTruncate js-action-profile-name" style="display: inline !important; max-width: 95%; overflow: hidden !important; text-overflow: ellipsis !important; white-space: nowrap !important; word-wrap: normal !important;"><b class="ProfileTweet-fullname u-linkComplex-target" data-aria-label-part="" style="color: #292f33;">Matemática Positiva</b> <span class="ProfileTweet-screenname u-dir" data-aria-label-part="" dir="ltr" style="color: #8899a6; direction: ltr !important; font-size: 13px; unicode-bidi: embed;"><span class="at">@</span>MatematicaPos</span></span></a><br />
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donde nos felicitaba las fiestas con un magnífico vídeo de la construcción fractal del árbol de Pitágoras:</div>
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<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dz_1AZrAm7HlzFqYJwDtteqQo-SOswHBnIyINr7M3pu77szhcRyzJ6WKozIq06_A1709MpANKTbOb07dUhn' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
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<a href="https://pbs.twimg.com/tweet_video/B4wmCHfIEAAmw03.mp4" target="_blank">(Si no carga el vídeo pincha aquí</a>)</div>
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Una bonita oportunidad para recordar a los alumnos la igualdad de áreas en el<span style="font-size: large;"><i><b> teorema de Pitágoras</b></i></span>, introducirlos en los <span style="font-size: large;"><b><i>fractales</i></b></span>, desde los más sencillos hasta los presentes en la naturaleza y las posibilidades de <span style="font-size: large;"><b><i>geogebra</i></b></span> en la elaboración de herramientas personalizadas. </div>
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El texto del ejercicio:</div>
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Felicítame la Navidad realizando un árbol de Pitágoras con geogebra.</div>
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<img border="0" data-mce-src="http://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Pythagoras_tree_1_1_13_Summer.svg/618px-Pythagoras_tree_1_1_13_Summer.svg.png" data-mce-style="vertical-align: middle; display: block; margin-left: auto; margin-right: auto;" src="http://upload.wikimedia.org/wikipedia/commons/thumb/8/88/Pythagoras_tree_1_1_13_Summer.svg/618px-Pythagoras_tree_1_1_13_Summer.svg.png" height="272" style="border: 0px; display: block; margin-left: auto; margin-right: auto; vertical-align: middle;" width="400" /></div>
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Su fundamento matemático en la wikipedia: <a data-mce-href="http://es.wikipedia.org/wiki/%C3%81rbol_de_Pit%C3%A1goras" href="http://es.wikipedia.org/wiki/%C3%81rbol_de_Pit%C3%A1goras" target="_blank">árbol de Pitagoras</a></div>
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Y un <a data-mce-href="https://pbs.twimg.com/tweet_video/B4wmCHfIEAAmw03.mp4" href="https://pbs.twimg.com/tweet_video/B4wmCHfIEAAmw03.mp4">vídeo aquí</a></div>
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<span style="font-family: inherit;">El archivo inicial ayuda para la construcción (Inicia la construcción</span><span style="font-family: Arial, Helvetica, sans-serif;"> ▐◄◄ </span><span style="font-family: inherit;"> y luego pulsa reproduce</span> <span style="font-family: Arial, Helvetica, sans-serif;">►</span><span style="font-family: Arial, Helvetica, sans-serif; text-align: center;">)</span><br />
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<iframe height="900px" scrolling="no" src="https://tube.geogebra.org/material/iframe/id/LsDafvuT/width/550/height/900/border/888888/rc/true/ai/false/sdz/true/smb/true/stb/true/stbh/true/ld/false/sri/true/at/auto" style="border: 0px;" width="550px"> </iframe></div>
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Y el resultado desigual en una sesión de clase fue</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVq6WC5-k93uo5r-qyIGvT57lXIVxdmXcjnnnu-SQwCc7qC5TyaYdwoWBzdenVnjtKJGF2dIIy3lJKvYkIvCOsEGTZAHHe6Ae5X-d2ZakphRJsd02WyZXD8oRTrX9vwCASGV7aNRitB5UH/s1600/Ejercicio2.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVq6WC5-k93uo5r-qyIGvT57lXIVxdmXcjnnnu-SQwCc7qC5TyaYdwoWBzdenVnjtKJGF2dIIy3lJKvYkIvCOsEGTZAHHe6Ae5X-d2ZakphRJsd02WyZXD8oRTrX9vwCASGV7aNRitB5UH/s1600/Ejercicio2.JPG" height="223" width="320" /></a></div>
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-54688535910105995042014-12-03T12:30:00.000-08:002014-12-03T12:30:48.899-08:00Literatura y matemáticas: microrrelato y microtarea<br />
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<span style="font-family: inherit;"><span style="font-family: Verdana, sans-serif;">Oyendo el concurso </span><span style="background-color: white; color: #e49310; font-family: Verdana, sans-serif; font-style: italic; line-height: 36px; text-align: justify;"><a href="http://escueladeescritores.com/concurso-votacion-rec-2014/" target="_blank">VII Edición de Relatos en Cadena</a></span><span style="background-color: white; color: #e49310; font-family: Verdana, sans-serif; font-size: 30px; font-style: italic; line-height: 36px; text-align: justify;"> </span><span style="font-family: Verdana, sans-serif;">en La Ventana de la Ser me sorprende el relato de Patricia González Collazo </span></span></div>
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<strong style="background: transparent; border: 0px; box-sizing: border-box; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><i>Ciencia inexacta</i></strong></div>
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<i>Pero ya nada sería igual. Las igualdades fundamentales se habían quebrado, las fórmulas yacían desparramadas a sus pies. El seno de ella, contra toda propiedad, había aparecido elevado al cuadrado y sumado a un coseno ajeno. Él revisó por enésima vez su demostración. Sólo había utilizado identidades irrefutables, axiomas, hipótesis firmes y probadas. No veía donde estaba el error. Tal vez en una interpolación, en una derivada, en un redondeo demasiado inexacto… Ella prefirió la tangente para evitar dar explicaciones. Él recogió uno a uno sus términos, sus signos, sus incógnitas para alinearlos prolijos en otra página. Empezó a pensar en un nuevo teorema.</i></div>
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<span style="font-family: Verdana, sans-serif; font-size: large;">Microtarea: Encontrar, definir y poner un ejemplo de todos los términos matemáticos citados en el microrrelato</span></div>
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<span style="font-family: Trebuchet MS, sans-serif; font-size: large;">Más concursos</span></div>
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<span style="font-family: Verdana, sans-serif; font-size: x-small;">También me llega la información sobre la convocatoria del premio <strong style="line-height: 20.3999996185303px;">El ingenioso caballero don Quijote de la Mancha entre escolares, </strong><span style="line-height: 20.3999996185303px;">(<a href="http://fespm.es/IMG/pdf/Premio_Don_Quijote_de_la_Mancha_entre_escolares.pdf" target="_blank">bases aquí</a>)</span><strong style="line-height: 20.3999996185303px;"> </strong><span style="line-height: 20.3999996185303px;">con la que </span><span style="line-height: 20.3999996185303px;">La Consejería de Educación Cultura y Deportes de la Junta de Comunidades de Castilla La Mancha y la Federación Española de Sociedades de Profesores de Matemáticas quieren participar en la conmemoración del IV Centenario de la edición de la segunda parte de la inmortal obra El Ingenioso Hidalgo Don Quijote de la Mancha publicada en 1615.</span></span></div>
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<span style="font-family: Verdana, sans-serif; font-size: x-small;"><span style="line-height: 20.3999996185303px;">La FESPM publicó en 2005 la </span><span style="line-height: 20.3999996185303px;"> </span><a class="spip_out" href="http://fespm.es/IMG/pdf/dem2005_-_el_quijote_y_las_matematicas.pdf" style="color: #f78d32; line-height: 20.3999996185303px;" target="_blank">“El Quijote y las matemáticas”</a><span style="line-height: 20.3999996185303px;"> que con motivo del Día Escolar de las Matemáticas donde nos plantean cuestiones sobre matemáticas, geometría, lógica, paradojas y problemas que aparecen en el genial texto de Miguel de Cervantes</span></span></div>
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<span style="font-family: Verdana, sans-serif;">Excelente y atractiva unión entre literatura y matemáticas.</span></div>
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<span style="font-family: Verdana, sans-serif;">Para recomendar y saborear libros y lecturas relacionados con las "mates" podemos visitar:</span></div>
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<li><span style="color: #333333; font-family: Verdana, sans-serif;"><span style="line-height: 22px;">El interesante blog <a href="https://mateliteratura.wordpress.com/" target="_blank">Literatura y matemáticas</a>.</span></span></li>
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<li style="text-align: left;"><span style="font-family: Verdana, sans-serif;">La sección <a href="http://divulgamat2.ehu.es/divulgamat15/index.php?option=com_content&task=blogcategory&id=115&Itemid=57" target="_blank">"Texto literario del mes"</a> de divulgaMAT.</span></li>
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<li><span style="font-family: Verdana, sans-serif;"><span style="color: #333333;"><span style="line-height: 22px;">La entrada antigua con los libros "clásicos" de "</span></span><span style="color: #333333; line-height: 22px;"><a href="http://elmundoderafalillo.blogspot.com.es/" target="_blank">"El mundo de Rafalillo</a> con un pequeño análisis de cada libro.</span></span></li>
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<span style="font-family: Verdana, sans-serif;"><a href="http://elmundoderafalillo.blogspot.com.es/2010/10/literatura-matematica.html" target="_blank"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOSf_aFZeXKou7LWS43MdMW11lJc_KGJWYpL8QJCF4YGLCXi41pQHRpPKVof0cR0K4t0dyYdHFcNQbsws7dyNLxCqechHCJxR7qgHrpo1GQqVa_rHCqCe92I5y-JNqm_RPs8lDHBVH6Sw/s1600-r/cabeceranueva.png" height="56" width="320" /></a></span></div>
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<span style="font-family: Verdana, sans-serif;">Puedes mandar tus sugerencias y comentarios de libros matemáticos para tomar nota y regalar literatura estas Navidades.</span></div>
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-29144038878579700702014-10-21T12:36:00.001-07:002015-09-11T02:48:26.382-07:00Divina proporción<h2>
NÚMERO ÁUREO</h2>
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Hay "información" a patadas en la red sobre el número áureo, la divina proporción y su relación con el arte y la naturaleza. El periódico El País hace unos años empezó la colección "<a href="http://www.elmundoesmatematico.es/" target="_blank">el mundo es matemático</a>"<span style="background-color: white; color: #cc0000; font-family: 'Trebuchet MS', Arial, Helvetica, sans-serif; font-size: 16px; font-weight: bold; line-height: 18px;">La proporción áurea. El lenguaje matemático de la belleza. </span><br />
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de la editorial RBA con el libro de Fernando Corbalán </div>
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<tr><td class="tr-caption" style="text-align: center;"><a href="http://divulgamat2.ehu.es/divulgamat15/index.php?option=com_content&view=article&id=10596:la-proporcion-aurea-el-lenguaje-matematico-de-la-belleza&catid=53:libros-de-divulgaciatemca&directory=67" target="_blank">Reseña del libro en Divulgamat</a></td></tr>
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<span style="background-color: white; font-family: 'Trebuchet MS', Arial, Helvetica, sans-serif; font-size: 16px; line-height: 18px;">Con la excusa de trabajar los números irracionales con mis alumn@s he decidido proponerles un "sencillo" ejercicio con geogebra: Relacionar con el arte o con la naturaleza el número áureo realizando una pequeña construcción.</span></div>
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<span style="background-color: white; font-family: 'Trebuchet MS', Arial, Helvetica, sans-serif; font-size: 16px; line-height: 18px;">Para ello les he dado la siguiente información: </span></div>
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<li>Presentación sobre Dalí y el número áureo de José Ignacio Nieto Acero para el curso Arte y Matemáticas</li>
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<iframe allowfullscreen="" frameborder="0" height="355" marginheight="0" marginwidth="0" scrolling="no" src="//www.slideshare.net/slideshow/embed_code/3293029" style="border-width: 1px; border: 1px solid #CCC; margin-bottom: 5px; max-width: 100%;" width="425"> </iframe> </div>
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<strong> <a href="https://es.slideshare.net/IgnacioNieto/dal-y-la-razn-area" target="_blank" title="Dalí y la razón áurea">Dalí y la razón áurea</a> </strong> from <strong><a href="https://www.slideshare.net/IgnacioNieto" target="_blank">José Ignacio Nieto Acero</a></strong> </div>
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<li>Un corte del programa Redes dedicado a la proporción áurea y Dalí </li>
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<span class="watch-title " dir="ltr" id="eow-title" style="background-attachment: initial; background-clip: initial; background-color: transparent; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; padding: 0px;" title="La Proporción Áurea (Capítulo REDES 364)"><span style="font-size: small;"><a href="http://la%20proporci%C3%B3n%20%C3%81urea%20%28cap%C3%ADtulo%20redes%20364%29/" target="_blank">La Proporción Áurea (Capítulo REDES 364)</a> </span></span></div>
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<li style="text-align: left;">Construcciones sencillas con geogebra del rectángulo áureo:</li>
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<a href="http://www.geogebra.org/en/upload/files/spanish/PedroRuiz/Actividad_Final.html" target="_blank">Rectángulo áureo</a></div>
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<a href="http://recursostic.educacion.es/gauss/web/materiales_didacticos/eso/actividades/aritmetica/irracionales/metalicos3/actividad.html" target="_blank">Rectángulo Áureo II</a></div>
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<li style="text-align: left;">Ejemplo de mi propia cosecha</li>
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<a href="https://s-media-cache-ak0.pinimg.com/736x/42/45/84/4245846154181f1b3feceda8ecb7854c.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" height="150" src="https://s-media-cache-ak0.pinimg.com/736x/42/45/84/4245846154181f1b3feceda8ecb7854c.jpg" width="200" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2GvMTdd1ToUX5E-lECbxwIvVgvPsPlUoVD6y7gDZD4UrhfiOQOuuWKIKDE4pEapsYj7fJtTw9ckyAwwpOBp7Sd44i3oE91rfoPZ1yx4ol-4RiVpw-ZK8WY_u6SrlVWbq6upXOHW3IrDAW/s1600/2014-10-09+10.55.21.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em; text-align: center;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2GvMTdd1ToUX5E-lECbxwIvVgvPsPlUoVD6y7gDZD4UrhfiOQOuuWKIKDE4pEapsYj7fJtTw9ckyAwwpOBp7Sd44i3oE91rfoPZ1yx4ol-4RiVpw-ZK8WY_u6SrlVWbq6upXOHW3IrDAW/s1600/2014-10-09+10.55.21.jpg" width="200" /></a></div>
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-13650121571814041892014-05-27T16:25:00.000-07:002014-05-27T16:25:41.094-07:00#RelatividadEinstein<div dir="ltr">
El 22 de febrero de 1923 Albert Einstein visitó España.<br />
Queremos hacer TT <span style="font-size: large;">#RelatividadEinstein </span>hoy a las 20:00 (Madrid).¿Nos ayudas a hacerlo?<br />
La información que nos proporciona <a href="http://%20http//www.alpoma.net/tecob/?p=929">Einstein en España</a> (con su interesante biografía) o el antiguo artículo </div>
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<i><a href="http://elpais.com/diario/2005/03/03/ciberpais/1109818944_850215.html" target="_blank">El azaroso viaje de Einstein por España</a> </i>o<i> </i>el estracto del libro <span style="color: #222222; font-family: Segoe UI, Lucida Grande, Lucida Sans, Trebuchet MS, Tahoma, Verdana, sans-serif;"><span style="line-height: 21px;"><a href="http://www.fundaciorecerca.cat/einstein/docs/contemporanis/Rarezas_y_Curiosidades_de_la_Historia_de_Espana_Pedro_Voltes.pdf" target="_blank">Rarezas y curiosidades de la historia de España</a> de Pedro Voltes nos da una idea de esta visita a Barcelona , Madrid y Zaragoza.</span></span></div>
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<span style="color: #222222; font-family: Segoe UI, Lucida Grande, Lucida Sans, Trebuchet MS, Tahoma, Verdana, sans-serif;"><span style="line-height: 21px;">La cronología de su estancia en España la podemos consultar en esta <a href="http://quark.prbb.org/36/036054.pdf" target="_blank">página</a>.</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR4vqJoL84ZH0KLTAcGlTZsZGKmHgNV_HpPZ8azJBlk6zgKXN47zwuFZZH5UB5pEw4LpgPPO9P8LaTT4S7iKBIkVtV6gFARzMqUgqYU4IWxMqqgIkowJNdogXJ8ehvYjm0o8TnJLSYm2iw/s1600/retratos-triangulos-04.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhR4vqJoL84ZH0KLTAcGlTZsZGKmHgNV_HpPZ8azJBlk6zgKXN47zwuFZZH5UB5pEw4LpgPPO9P8LaTT4S7iKBIkVtV6gFARzMqUgqYU4IWxMqqgIkowJNdogXJ8ehvYjm0o8TnJLSYm2iw/s1600/retratos-triangulos-04.jpg" height="320" width="274" /></a></div>
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<span style="color: #222222; font-family: Segoe UI, Lucida Grande, Lucida Sans, Trebuchet MS, Tahoma, Verdana, sans-serif;"><span style="line-height: 21px;">Podemos ver fotografías de este acontecimiento con Alfonso XIII, y fotos de mi propia cosecha relacionadas con Albert Einstein en mi tablero de Pinterest dedicado a Einstein.</span></span><br />
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<a data-pin-board-width="400" data-pin-do="embedBoard" data-pin-scale-height="200" data-pin-scale-width="80" href="http://www.pinterest.com/alfredogordillo/einstein/">Sigue el tablero Einstein de Alfredo en Pinterest.</a><!-- Please call pinit.js only once per page --><script async="" src="//assets.pinterest.com/js/pinit.js" type="text/javascript"></script></div>
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-67153890363233380022014-03-23T15:39:00.005-07:002014-03-23T15:39:58.062-07:00Más redes sociales: PinterestPara los que piensan que una imagen vale más que mil palabras, o que 140 caracteres, Pinterest nos ofrece la posibilidad de compartir fotos, imágenes, infografías..., con su ubicación, y agruparlas en tableros temáticos, comentarlas, compartirlas, hacer tableros comunes con diferentes usuarios...<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi59bnbCZ0i3vORZ3NbqxW96VkQgJDmkA1khSCczFYRB12DE6aWsJHo7WeVJSGJ2uaKMDpq0xiE8OTa3fp9-BzUuwKrjbMU-bBQyM2Iz4R8Di0vtZa3_M-_L439OIsno0u78EKOwOLLNU2h/s1600/Pinterest.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi59bnbCZ0i3vORZ3NbqxW96VkQgJDmkA1khSCczFYRB12DE6aWsJHo7WeVJSGJ2uaKMDpq0xiE8OTa3fp9-BzUuwKrjbMU-bBQyM2Iz4R8Di0vtZa3_M-_L439OIsno0u78EKOwOLLNU2h/s1600/Pinterest.jpg" /></a></div>
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Investigando la posibilidad de incrustar un tablero propio en el blog, siguiendo las explicaciones de <a href="http://negocios.uncomo.com/articulo/como-crear-un-widget-de-pinterest-en-mi-web-o-blog-23175.html" target="_blank">Como crear un widget de pinterest en mi web o blog</a> de María Jose Alvarez Moreno que nos lleva a la <a href="http://business.pinterest.com/widget-builder/#do_embed_board" target="_blank">página oficial</a> con diferentes opciones.<br />
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Una pequeña prueba realizada con las fotos de mi <i>"propia cosecha"</i> relacionadas con las matemáticas<br />
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<a data-pin-board-width="400" data-pin-do="embedBoard" data-pin-scale-height="320" data-pin-scale-width="80" href="http://www.pinterest.com/alfredogordillo/fotos-matem%C3%A1ticas/">Follow Alfredo's board Fotos matemáticas on Pinterest.</a>
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<br />Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-82571179675840536842014-01-03T06:35:00.003-08:002014-01-03T06:35:44.670-08:00"No permitas que te roben las ideas, ¡regálalas!" <h2>
<span style="font-family: Georgia, Times, Times New Roman, serif; font-size: x-small;"><span style="line-height: 20px;">Reflexiones sobre REA</span></span></h2>
<span style="font-family: Georgia, Times, Times New Roman, serif; font-size: x-small;"><span style="line-height: 20px;">Aprovechando la realización del curso <a href="http://educalab.es/intef/formacion/formacion-en-red/cursos/-/asset_publisher/6EYekxyy0Fd6/content/rea-matematicas?redirect=http%3A%2F%2Feducalab.es%2Fintef%2Fformacion%2Fformacion-en-red%2Fcursos%3Fp_p_id%3D101_INSTANCE_6EYekxyy0Fd6%26p_p_lifecycle%3D0%26p_p_state%3Dnormal%26p_p_mode%3Dview%26p_p_col_id%3DEducaLAB_columna70%26p_p_col_pos%3D1%26p_p_col_count%3D2" target="_blank">Recursos Educativos Abiertos en Matemáticas</a> del <a href="http://www.intef.educacion.es/" target="_blank">INTEF</a> unas </span></span><br />
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<span style="font-family: Georgia, Times, 'Times New Roman', serif; font-size: x-small; line-height: 20px;">pequeñas reflexiones sobre </span><br />
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<li style="font-size: 10pt; line-height: 1.5em;">Qué se entiende por REA en la actualidad.</li>
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Recursos (contenidos y herramientas fundamentalmente) para utilizar en el proceso de enseñanza-aprendizaje, de carácter gratuito con la posibilidad de utilizarlos, modificarlos y adaptarlos.</div>
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<li style="font-size: 10pt; line-height: 1.5em;">¿Por qué implicarse en la creación de un REA?</li>
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Para enseñar mejor, no podemos vivir en una burbuja y conocer otros "métodos" de enseñanza debe ser enriquecedor y para no partir de cero en este "viaje" facilitando nuestro trabajo.</div>
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<li style="font-size: 10pt; line-height: 1.5em;">Ventajas y desventajas de los REA.</li>
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Poder utilizar y modificar los recursos, gratuidad. Entre las desventajas la continua formación y a veces la dificultad en el manejo de las herramientas para utilizar estos recursos, la clasificación y búsqueda de tantos recursos.</div>
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<span style="font-size: x-small;">Yo he utilizado </span><a href="http://recursostic.educacion.es/descartes/web/" style="font-size: 13.600000381469727px;" target="_blank">las unidades de Descarte</a><span style="font-size: x-small;">s (Ahora tenemos problemas con la versión del Java y están migrando escenas al </span><span style="font-size: large;"><a href="http://proyectodescartes.org/descartescms/" target="_blank">Proyecto Descartes</a> </span>) <span style="font-size: x-small;">con los alumnos y el programa </span><a href="http://www.geogebra.org/cms/es/" target="_blank"><span style="font-size: large;">Geogebra</span></a><span style="font-size: x-small;">, </span><span style="font-size: large;"> <a href="http://herramientas.educa.madrid.org/wiris/" target="_blank">Wiris</a></span> (¿Este se puede considerar REA?) tanto para apoyar mis clases como para la realización de ejercicios y proyectos con los alumnos.En el curso he descubierto<a href="http://agrega.educacion.es/visualizadorcontenidos2/Portada/Portada.do;jsessionid=02BE3DB28C1A0AA81A2512A4F74C1018" target="_blank"> <span style="font-size: large;">Agrega</span></a><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZL1e-LUDveakZzJga40apdVWn3hpNSMN6Xq9vjGAWWxhebTlumwtyewviXMX17nLJhyphenhyphenmW4gZ63QwQuJ_8L2ls7KYsgFzcCqlTUvxyzJMsmPvixS9LNOc2KFy4uFsHL25-FH8k6R5_jKnB/s1600/Descartes.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhZL1e-LUDveakZzJga40apdVWn3hpNSMN6Xq9vjGAWWxhebTlumwtyewviXMX17nLJhyphenhyphenmW4gZ63QwQuJ_8L2ls7KYsgFzcCqlTUvxyzJMsmPvixS9LNOc2KFy4uFsHL25-FH8k6R5_jKnB/s1600/Descartes.JPG" height="121" width="200" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3Kg6M7Z90i0K2n2sT8QK-qVYuqp0worWFcH4DS9jfKV3mkvGZ08nOsbGoIAPFy4ItR-XIcax5DSGv0YSouTZoS9r93Jriie7Uv4qtQ8qIyHgu4IWgTj2iFqiGyAjXGm9oyETTZEcs6tAX/s1600/proyecto+descartes.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi3Kg6M7Z90i0K2n2sT8QK-qVYuqp0worWFcH4DS9jfKV3mkvGZ08nOsbGoIAPFy4ItR-XIcax5DSGv0YSouTZoS9r93Jriie7Uv4qtQ8qIyHgu4IWgTj2iFqiGyAjXGm9oyETTZEcs6tAX/s1600/proyecto+descartes.JPG" height="116" width="200" /></a></div>
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<li style="font-size: 10pt; line-height: 1.5em;">Retos que identificas en la implementación de los REA.</li>
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La buena clasificación y descripción de los recursos, así como el manejo de las utilidades para modificarles.</div>
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<li style="font-size: 10pt; line-height: 1.5em;">Iniciativas relacionadas con los REA. </li>
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<a href="http://educalab.es/home" target="_blank">Educalab</a>,<a href="http://recursostic.educacion.es/descartes/web/" target="_blank"> Descartes</a>, <a href="http://www.geogebra.org/cms/es/" target="_blank">Geogebra</a>,<span style="font-size: x-small;"> </span><span style="font-size: large;"><a href="http://recursostic.educacion.es/gauss/web/" target="_blank">Proyecto Gauss</a> </span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjL2o-Zr7CHtveOjBNfS6Bu7nKcvwAvvPmF-Y0U8nas2oDgP-CVcvvkkHglO8Vhb-B1oR2ZKeWtHP6_rYIUJbNTHhFtz98cWfovQwg8chuDAChXgePIzZriRtqaYoTTRbckiSD0AvlpFPuH/s1600/proyecto+gauss.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjL2o-Zr7CHtveOjBNfS6Bu7nKcvwAvvPmF-Y0U8nas2oDgP-CVcvvkkHglO8Vhb-B1oR2ZKeWtHP6_rYIUJbNTHhFtz98cWfovQwg8chuDAChXgePIzZriRtqaYoTTRbckiSD0AvlpFPuH/s1600/proyecto+gauss.JPG" height="199" width="320" /></a></div>
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Mi propio blog es una iniciativa para conseguir esto. Aunque desde que utilizo Twitter, <i>twiteo</i> más y <i>bloggeo</i> menos.</div>
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<span style="font-family: Georgia, Times, Times New Roman, serif;"><span style="line-height: 1.5em;">Los REA nos tienen que servir para mejorar y facilitar nuestra enseñanza. Además en la enseñanza pública tendría que facilitarnos su </span></span><span style="font-family: Georgia, Times, Times New Roman, serif;"><span style="line-height: 20.390625px;">utilización</span></span><span style="font-family: Georgia, Times, Times New Roman, serif;"><span style="line-height: 1.5em;"> (formación y medios) por parte de la administración.</span></span><br />
<span style="font-family: Georgia, Times, Times New Roman, serif;"><span style="line-height: 1.5em;">Aquí mi trabajo final en Agrega sobre <b style="font-style: italic;"><a href="http://agrega.educacion.es/visualizador-1/Visualizar/Visualizar.do?identificador=es-mecd_2013120913_9155100&secuencia=false&comunidadAgrega=true" target="_blank"><span style="font-size: large;">Números enteros</span></a> </b>utilizando el<b style="font-style: italic;"> Exelerning </b><span style="font-size: x-small;">(</span><i style="font-size: small;">Nota wikipedia:</i><span style="font-size: x-small;"> </span></span></span><b style="background-color: white; font-family: sans-serif; font-size: small; line-height: 19.1875px;"><a href="http://es.wikipedia.org/wiki/Exelearning" target="_blank">Exelearning</a></b><span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;"><span style="font-size: x-small;"> es un </span></span><span style="font-size: x-small;">programa<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;"> tipo </span>open source<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;"> (recursos libres o gratuitos); una creación de aplicación que permite a </span>profesores<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;"> y académicos la publicación de contenidos didácticos en </span>soportes informáticos<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;"> (</span>CD<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;">, </span>memorias USB<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;">, en la </span>web<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;">), sin necesidad de ser ni convertirse en expertos en </span>HTML<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;"> o </span>XML<span style="background-color: white; font-family: sans-serif; line-height: 19.1875px;">.)</span></span><br />
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<a href="http://agrega.educacion.es/ODE2/es/es-mecd_2013120913_9155100/embed" target="_blank"><img alt="Números enteros" src="http://agrega.educacion.es/galeriaimg/cf/es-mecd_2013120913_9155100/es-mecd_2013120913_9155100.png" height="400" title="es-mecd_2013120913_9155100" width="400" /></a>
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<span style="font-family: Georgia, Times, Times New Roman, serif; font-size: x-small;"><span style="line-height: 1.5em;"><br /></span></span>Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-30984972846760801352013-10-27T15:28:00.000-07:002013-10-27T15:30:07.017-07:00Probando Prezi<div style="background-color: white; font-family: sans-serif; line-height: 19.1875px; margin-bottom: 0.5em; margin-top: 0.4em; text-align: justify;">
<b><a href="http://prezi.com/" target="_blank"><span style="font-size: x-large;">Prezi</span></a></b><span style="font-size: x-small;"> </span><span style="font-size: large;"><a href="http://es.wikipedia.org/wiki/Prezi" target="_blank">según la Wikipedia</a></span><span style="font-size: x-small;"> <i>"</i></span><i>es una aplicación multimedia para la creación de presentaciones similar a Microsoft Office PowerPoint o a Impress de <a href="http://es.wikipedia.org/wiki/LibreOffice" style="background-image: none; color: #0b0080; text-decoration: none;" title="LibreOffice">LibreOffice</a> pero de manera dinámica y original. La versión gratuita funciona solo desde Internet y con almacenamiento limitado.</i></div>
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<span style="font-size: small;"><i>Una principal característica de Prezi es la posibilidad de organizar la información en forma de un esquema y exponerlo con libertad sin la secuencia de diapositivas. De manera que el conferenciante o quien consulta una presentación en Prezi puede acceder a cualquier contenido con solo clicar. Se puede navegar por la presentación -que es en realidad un solo frame de 3 dimensiones- desde la vista general, ampliando o reduciendo la vista, o desplazando el lienzo. Los efectos visuales deben estar supeditados a una correcta narrativa.</i></span></h2>
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<span style="background-color: transparent; font-family: Verdana, sans-serif;">Lo he probado una tarde para hacer una simulación de cálculo mental de enteros copiando los ejercicios de la interesante página </span><a href="http://docentes.educacion.navarra.es/jjimenei/" style="background-color: transparent; font-family: Verdana, sans-serif;" target="_blank">TABLAS DE CÁLCULO MENTAL</a><br />
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<span style="font-family: Verdana, sans-serif;">Este es el resultado: enlace <a href="http://t.co/NcDJrVpNfn" target="_blank">Cálculo mental enteros</a> e incrustarlo en el blog. </span><iframe frameborder="0" height="400" src="http://prezi.com/embed/uk2zqoyaeixz/?bgcolor=ffffff&lock_to_path=0&autoplay=0&autohide_ctrls=0&features=undefined&disabled_features=undefined" width="550"></iframe></div>
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-15667427335711236772013-09-29T16:24:00.003-07:002013-09-29T16:24:46.029-07:00Diagramas de Voronoi<span style="font-family: inherit;">Magnífico artículo de <a href="https://twitter.com/claragrima" target="_blank">@claragrima</a> en <a href="http://www.antena3.com/cienciaxplora/divulgacion/que-tuvo-que-ver-voronoi-ataque-pearl-harbor_2013091300174.html" target="_blank">cienciaXplora</a>. <i>"Descubro" </i>los diagramas de <a href="http://es.wikipedia.org/wiki/Georgy_Voronoi" target="_blank">Voronoi</a> gracias a los Lunis y sus aplicaciones prácticas como zonas de influencias en estudios de mercado fundamentalmente, rutas, epidemiología, biología, robótica, arquitectura... <a href="http://naukas.com/2011/12/23/cada-uno-en-su-region-y-voronoi-en-la-de-todos/" target="_blank">(para saber más)</a>.</span><br />
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<span style="font-family: inherit;">Un diagrama de Voronoi o también llamado<a href="http://es.wikipedia.org/wiki/Pol%C3%ADgonos_de_Thiessen" target="_blank"> Polígonos Thiessen</a> o <span style="background-color: white; font-size: 13px; line-height: 19.1875px;"> </span><span style="background-color: white; line-height: 19.1875px;">teselación de Dirichlet de un conjunto finito de puntos</span></span><span style="background-color: white; color: #111111; line-height: 21px;"><span style="font-family: inherit;"> es la división del plano en regiones, tantas como puntos tengamos, de tal forma que a cada uno ellos le asignamos la región formada por aquellos puntos que están más cercanos a él que ningún otro de los originales.</span></span><br />
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<span style="font-family: inherit;"><span style="background-color: white; color: #111111; line-height: 21px;">L</span><span style="background-color: white; color: #333333; font-size: 14px; line-height: 16px;">as líneas que dividen las regiones son las mediatrices entre los puntos, es decir, pasan a la misma distancia de los dos puntos más cercanas a la misma. </span><span style="background-color: white; color: #111111; line-height: 21px;"> </span></span><br />
<span style="background-color: white; color: #111111; line-height: 21px;"><span style="font-family: inherit;">Interesante ejercicios para los alumnos realizar este tipo de diagrama para amenizar el estudio de la geometría, pensar cuantas mediatrices tengo que realizar para 2,3,4,5,6,7,... <i>n</i> puntos, realizar un estudio de mercado ayudado de google maps y geogebra, </span></span><br />
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<span style="color: #111111;"><span style="line-height: 21px;">Sitúa</span></span><span style="background-color: white; color: #111111; line-height: 21px;"><span style="font-family: inherit;"> los puntos en <i>Villa Trajano, Marisquería Piñeiro, las Calzadas, y Telepizza...</i></span></span><br />
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<title>Voronoi y goole Maps - GeoGebra Hoja Dinámica</title>
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Voronoi y goole Maps</h2>
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/>
<param name="java_arguments" value="-Xmx1024m -Djnlp.packEnabled=true" />
<param name="cache_archive" value="geogebra.jar, geogebra_main.jar, geogebra_gui.jar, geogebra_cas.jar, geogebra_algos.jar, geogebra_export.jar, geogebra_javascript.jar, jlatexmath.jar, jlm_greek.jar, jlm_cyrillic.jar, geogebra_properties.jar" />
<param name="cache_version" value="4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0, 4.2.58.0" />
<param name="showResetIcon" value="false" />
<param name="enableRightClick" value="true" />
<param name="errorDialogsActive" value="true" />
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<span style="font-size: x-small;">Alfredo Gordillo, 30 Septiembre 2013, Creado con <a href="http://www.geogebra.org/" target="_blank">GeoGebra</a></span><br />
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com1tag:blogger.com,1999:blog-8604439902174026158.post-2950134648640105852013-09-26T16:23:00.001-07:002013-09-26T16:23:41.763-07:00Futurama y las matemáticasGracias <span class="username js-action-profile-name" style="direction: ltr; font-family: Arial, sans-serif; font-size: 12px; line-height: 18px; text-decoration: none; unicode-bidi: embed;"><a class="account-group js-account-group js-action-profile js-user-profile-link js-nav" data-user-id="40444023" href="https://twitter.com/luismiglesias" style="color: #999999; font-family: Arial, sans-serif; font-size: 14.399999618530273px; line-height: 18px; text-decoration: none;"><span style="color: #bbbbbb;">@</span>luismiglesias</a> en</span><br />
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Matemáticas, informática y mucho + con Futurama <a class="twitter-timeline-link" data-expanded-url="http://bit.ly/18RomT5" dir="ltr" href="http://t.co/kENrUE2u1u" rel="nofollow" style="color: #0084b4; text-decoration: none;" target="_blank" title="http://bit.ly/18RomT5"><span class="tco-ellipsis"></span><span class="invisible" style="font-size: 0px; line-height: 0;">http://</span><span class="js-display-url">bit.ly/18RomT5</span><span class="invisible" style="font-size: 0px; line-height: 0;"></span><span class="tco-ellipsis"><span class="invisible" style="font-size: 0px; line-height: 0;"> </span></span></a> vía <a class="twitter-atreply pretty-link" dir="ltr" href="https://twitter.com/matscompartidas" style="color: #0084b4; text-decoration: none;"><span style="color: #66b5d2;">@</span>matscompartidas</a></div>
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descubro<a href="http://bit.ly/18RomT5" target="_blank"> "la indoblable página de Bender Bending Rodriguez"</a><span style="color: #333333; font-family: Arial, sans-serif;"><span style="font-size: 14px; line-height: 18px; white-space: pre-wrap;"> que en su sección <a href="http://bbrp.atwebpages.com/comics.html" style="font-style: italic; font-weight: bold;" target="_blank">matemáticas</a><b style="font-style: italic;"> </b>descubrimos estas <i>"curiosidades matemáticas" </i>que merecen unas entradas en el Blog: La primera</span></span><br />
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<span style="color: #333333; font-family: Arial, sans-serif;"><span style="font-size: 14px; line-height: 18px; white-space: pre-wrap;">Número 1729</span></span></h3>
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<span style="background-color: white;">El <b>1729</b> es el llamado número de<a href="http://es.wikipedia.org/wiki/G.H._Hardy" target="_blank"> Hardy</a>-<a href="http://es.wikipedia.org/wiki/Srinivasa_Aiyangar_Ramanujan" target="_blank">Ramanujan,</a> que es el más pequeño de los números Taxicab, es decir, el número natural más pequeño que puede ser expresado como la suma de dos cubos positivos de dos formas diferentes: 1729 = Ta(2) = 1<sup>3</sup> + 12<sup>3</sup> = 9<sup>3</sup> + 10<sup>3</sup>. </span></div>
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<span style="background-color: white;">El número Taxicab n-ésimo es el número natural más pequeño que se puede expresar de n formas distintas como suma de dos cubos positivos. </span></div>
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<span style="background-color: white;">Su nombre se debe a la historia que cuentan en muchos libros de texto de matemáticas. (Santillana de 1º de la ESO) </span></div>
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<span style="background-color: white;">Actualmente, los números Taxicab son:<br />Ta(1) = 2<br />Ta(2) = 1729<br />Ta(3) = 87539319<br />Ta(4) = 6963472309248<br />Ta(5) = 48988659276962496 </span></div>
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<span style="background-color: white;">Para saber más <a href="http://mathworld.wolfram.com/TaxicabNumber.html" target="_blank">Wolfram Mathworld</a> y <a href="http://euler.free.fr/taxicab.htm" target="_blank">Euler free</a></span></div>
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Bonita práctica de programación para encontrar este tipo de números....</div>
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-88465506337279450722013-08-30T07:40:00.000-07:002013-08-30T07:40:15.431-07:00Un Blog de todo un poco, Educación, Linux, Matemáticas, humor, etc …Blog interesante del profesor <span style="background-color: white; font-family: 'Lucida Grande', 'Lucida Sans Unicode', Arial, sans-serif; font-size: 14px; text-align: justify;"><a href="http://www.aomatos.com/acerca-de/" target="_blank">Antonio Omatos Soria</a> </span>con interesantes y organizados<span style="background-color: white; font-family: 'Lucida Grande', 'Lucida Sans Unicode', Arial, sans-serif; font-size: 14px; text-align: justify;"> <a href="http://www.aomatos.com/2012/07/recursos-matematicos-para-1o-eso-y-mucho-mas/" target="_blank">recursos sobre matematicas</a> </span>y sobre todo me gusto su recopilación de<span style="background-color: white; font-family: 'Lucida Grande', 'Lucida Sans Unicode', Arial, sans-serif; font-size: 14px; text-align: justify;"> <a href="http://www.aomatos.com/recursos-abiertos/" target="_blank">recursos abiertos</a>: </span>cliparts, imágenes-fotos, audios (sonidos, música), repositorios educativos.<br />
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En su <a href="http://www.aomatos.com/catalogo-web-2-0/" target="_blank">catálogo web 2.0</a> herramientas para crear bloghs, wikis, discos duros online, vídeos,compartir imágenes, audio online, podcast, slideshow, líneas de tiempo, mapas conceptuales, diagramas, creación de comics...</div>
Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-32758644495480977722013-08-28T17:32:00.005-07:002013-08-28T17:32:59.875-07:00Presentaciones: Mural.lyPresentaciones "superinteresante" utilizando <a href="https://mural.ly/" target="_blank">mural.ly</a>. Esta sobre <a href="https://mural.ly/!/#/victorcuevas/1377508122163/view/4134237477" target="_blank">identidad digital de </a><b style="font-style: italic;"><a href="https://mural.ly/!/#/victorcuevas/1377508122163/view/4134237477" target="_blank">Víctor Cuevas</a> </b>con vídeo de <b>Leo Harlem</b> incluido.<br />
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<span style="font-size: x-small;"><span style="background-color: white; color: #676767;">En marzo del 2012</span><span style="background-color: #f4f4f4; color: #676767;"> </span><strong style="background-color: transparent; border: 0px; color: #338abe; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><a href="https://plus.google.com/110525027601099097745" rel="author" style="border: 0px; color: #338abe; margin: 0px; outline: 0px; padding: 0px; text-decoration: none; vertical-align: baseline;" title="Perfil de Juan Diego Polo en Google Plus">Juan Diego Polo</a></strong><span style="background-color: white;"><span style="color: #676767;"> </span>en<span style="color: #676767;"> </span></span><a href="http://wwwhatsnew.com/" style="background-color: transparent; color: #676767;">http://wwwhatsnew.com</a></span><span style="background-color: white; color: #676767;"><span style="font-size: x-small;"> comentaba: </span></span><a href="https://mural.ly/" style="background-color: white; color: #676767;" target="_blank">mural.ly</a><xwmdfc style="background-color: white; color: #676767; font-size: 13px; line-height: 1.6em;"> nos permite obtener fotos y vídeos de cualquier página de <a href="http://wwwhatsnew.com/2012/03/14/mural-ly-crea-y-comparte-murales-con-fotos-videos-y-textos-de-forma-creativa/#" rel="nofollow" style="background-color: transparent; border-bottom-style: dotted; border-width: 0px 0px 1px; color: #006600; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Internet</a> para, junto con los textos que deseemos, ordenarlos como si fuera una enorme pizarra clásica, siendo ideal para transmitir ideas o resumir conceptos para algún trabajo académico o profesional.</xwmdfc></div>
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<xwmdfc>Se trata de un proyecto creado por los argentinos Mariano Suárez Battan y Agustín Soler y presentado en el South By Southwest (SXSW), ofreciendo resultados que pueden consultarse también desde dispositivos <a href="http://wwwhatsnew.com/2012/03/14/mural-ly-crea-y-comparte-murales-con-fotos-videos-y-textos-de-forma-creativa/#" rel="nofollow" style="background-color: transparent; border-bottom-style: dotted; border-width: 0px 0px 1px; color: #006600; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">móviles</a>.</xwmdfc></div>
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<xwmdfc>La herramienta se encuentra en fase beta privada, siendo necesario pedir invitación para <a href="http://wwwhatsnew.com/2012/03/14/mural-ly-crea-y-comparte-murales-con-fotos-videos-y-textos-de-forma-creativa/#" rel="nofollow" style="background-color: transparent; border-bottom-style: dotted; border-width: 0px 0px 1px; color: #006600; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">poder</a> acceder al sistema.</xwmdfc></div>
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<iframe allowfullscreen="" frameborder="0" height="338" mozallowfullscreen="" src="http://player.vimeo.com/video/38260323?title=0&byline=0&portrait=0" style="background-color: transparent; border-width: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;" webkitallowfullscreen="" width="600"></iframe></div>
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Y esto mi prueba en 15 minutos</div>
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<iframe frameborder="0" height="315px" src="https://mural.ly/mural/alfgoralo/1377734291141/embed?title=untitled&b=2289&l=1216&r=4917&t=707" width="510px"></iframe>
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Seguiré investigando</div>
Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-80930893397855853322013-07-04T04:58:00.000-07:002013-07-04T04:58:01.120-07:00JAEM XVI<h2 style="text-align: center;">
<span style="font-family: Arial, Helvetica, sans-serif;">XVI JORNADAS PARA EL APRENDIZAJE Y ENSEÑANZA DE LAS MATEMÁTICAS</span></h2>
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<span class="spip_document_442 spip_documents spip_documents_center" style="clear: both; display: table; line-height: normal; margin: 1em auto; text-align: center;"><img alt="XVI Jornadas para el Aprendizaje y la Enseñanza de las Matemáticas - Matemáticas y creatividad: un mundo en construcción " height="371" src="http://xvi.jaem.es/IMG/jpg/lema_jaem_es.jpg" style="border: 0px; margin: 0px; padding: 0px;" title="XVI Jornadas para el Aprendizaje y la Enseñanza de las Matemáticas - Matemáticas y creatividad: un mundo en construcción " width="625" /></span></div>
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Las <abbr style="border: none; cursor: help;" title="Jornadas para el Aprendizaje y la Enseñanza de las Matemáticas">JAEM</abbr> son un punto de encuentro entorno a la didáctica de las matemáticas, concebidas como un encuentro para el debate, para la reflexión y la formación en la enseñanza y el aprendizaje de las matemáticas, así como un lugar donde encontrarse con profesores y maestros para intercambiar ideas y experiencias en Educación Matemática.</div>
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Aunque con retraso podemos ver lo que se<i> "coció"</i> en estas jornadas en su <a href="http://xvi.jaem.es/" target="_blank">página</a>.</div>
Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-66615637988409185402013-06-30T10:16:00.001-07:002013-06-30T10:16:07.596-07:00Código QR<div class="separator" style="clear: both; text-align: left;">
El código QR de este blog es</div>
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Generado con <a href="http://www.codigo-qr.es/" target="_blank">la página codigo-qr.es</a></div>
<br />Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-5874899664189991972013-06-30T02:03:00.001-07:002013-06-30T02:03:35.467-07:00El año de las matemáticas del Planeta Tierra<span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 11px; line-height: 13.984375px; text-align: justify;">E</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 11px; line-height: 13.984375px; text-align: justify;">l Portal de Educación de la Junta de Castilla y León recuerda el año de las matemáticas del planea Tierra con e</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 11px; line-height: 13.984375px; text-align: justify;">l escritorio de verano de este curso, el "</span><span class="eventtypeperiododereclamaciones" style="background-color: #f8d675; border: 0px; font-family: Arial, Helvetica, sans-serif; font-size: 11px; line-height: 13.984375px; margin: 0px; padding: 0px; text-align: justify; vertical-align: baseline;">Abierto por vacaciones 2013</span><span style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 11px; line-height: 13.984375px; text-align: justify;">".</span><br />
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Dice la junta <i>"Prepárate para un verano matemático y accede desde este enlace -<a class="cmNavContentLink" href="http://www.educa.jcyl.es/zonaalumnos/es/verano2013" style="border: 0px; color: #1b99c7; margin: 0px; padding: 0px; text-decoration: none; vertical-align: baseline;" target="_blank" title="Verano matemático 2013. Este enlace se abrirá en una ventana emergente."> Abierto por vacaciones 2013</a>" </i></div>
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Unos cuantos jegos para pasar el rato</div>
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<a class="cmNavContentLink" href="http://www.educa.jcyl.es/zonaalumnos/es/verano2013" style="border: 0px; color: #1b99c7; margin: 0px; padding: 0px; vertical-align: baseline;" target="_blank" title="Verano matemático 2013. Este enlace se abrirá en una ventana emergente."><img alt="home. Este enlace se abrirá en una ventana emergente." class="cmEmbedImagecenter " height="244" src="http://www.educa.jcyl.es/profesorado/es/recursos-aula/verano-matematico-2013.ficheros/435398-home_400.gif?width=400&height=244" style="border: 0px; display: block; float: none; margin: 0px auto; padding: 0px; text-align: center; vertical-align: baseline;" width="400" /></a></div>
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-88436089639842283692013-06-03T12:23:00.000-07:002013-06-03T12:23:03.193-07:00Número $\pi$ y estadística<br />
<span style="font-size: x-large;">$\pi$</span><br />
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Interesante propuesta en la página <a href="http://redescolar.ilce.edu.mx/redescolar/act_permanentes/mate/lugares.htm" target="_blank">Lugares aritméticos, geométricos y a(l)gebraicos</a> en la que seguiré buzeando. De momento, <a href="http://redescolar.ilce.edu.mx/redescolar/act_permanentes/mate/lugares/que_es_pi/pi.htm" target="_blank">¿Qué es pi?</a> me ha parecido muy atractiva la actividad para proponérsela a los alumnos <a href="http://redescolar.ilce.edu.mx/redescolar/act_permanentes/mate/imagina/aguja/pi_buffon.htm%22" target="_blank">La aguja de Buffon</a><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfDDR2WytEUUH8qKaiWjAp_4ZD26jQzChbGoJ7RmAdlXlQ69qeo1ar3apOpoRJ26_vkjTaVNGu2DX3nwPybj3aaANsgB1ookzbzGlKQohKgsJSdCbQTjQvb_S0l6aZNGi2kCprtb3o0xxR/s1600/Buffon.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"></a><a href="http://redescolar.ilce.edu.mx/redescolar/act_permanentes/mate/imagina/aguja/pi_buffon.htm" target="_blank"><img border="0" height="186" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfDDR2WytEUUH8qKaiWjAp_4ZD26jQzChbGoJ7RmAdlXlQ69qeo1ar3apOpoRJ26_vkjTaVNGu2DX3nwPybj3aaANsgB1ookzbzGlKQohKgsJSdCbQTjQvb_S0l6aZNGi2kCprtb3o0xxR/s320/Buffon.JPG" width="320" /></a></div>
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Supongo que habrá más actividades interesantes para la gente menuda.</div>
<br />Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com2tag:blogger.com,1999:blog-8604439902174026158.post-1207159903527144292013-05-18T09:43:00.002-07:002013-05-18T09:43:21.171-07:00Problemas matemáticos en twitter<span style="font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;"><span style="background-color: white; color: #333333;">Hasta hoy no sabía lo que era un </span><b style="background-color: white; color: #333333; font-style: italic;">tweetdoc</b><span style="background-color: white;"><span style="color: #333333;">,</span> </span></span><span style="background-color: white;"><span style="font-family: Arial; line-height: 16.8pt;">una </span><span style="font-family: Arial; line-height: 16.8pt; outline: 0px;"><span style="border: 1pt none windowtext; padding: 0cm;">herramienta gratuita que genera
un informe automático con todos los tweets de un hashtag</span></span><span style="font-family: Arial; line-height: 16.8pt;">.</span></span><br />
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<span style="background-color: white; font-family: Arial; line-height: 16.8pt;"><i><u><span style="font-size: x-small;">Cómo crear un informe con los tweets</span></u></i></span></div>
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<span style="background-color: white; font-family: Arial; line-height: 16.8pt;"><i><u><span style="font-size: x-small;"><br /></span></u></i></span></div>
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<span style="background-color: white;"><span style="font-size: x-small;"><i><span style="color: #373737; font-family: Arial; line-height: 16.8pt;">Entra en</span><span class="apple-converted-space" style="color: #373737; font-family: Arial; line-height: 16.8pt;"> </span><a href="http://www.tweetdoc.org/" style="font-family: Arial; line-height: 16.8pt; outline: 0px;" target="_blank"><span style="border: none windowtext 1.0pt; color: #1982d1; mso-border-alt: none windowtext 0cm; padding: 0cm; text-decoration: none; text-underline: none;">www.tweetdoc.org</span></a><span style="color: #373737; font-family: Arial; line-height: 16.8pt;"> y en la derecha haz click sobre el botón
“Create Tweetdoc” y te aparecerá un formulario donde puedes indicar el hashtag
del evento del que quieres sacar el informe, ponerle un título y una
descripción, así como incluso hacer un filtro por fechas, y con esta
información te creará un informe automático.</span><span style="color: #333333; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;"> </span></i></span></span></div>
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<span style="background-color: white; color: #333333; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;">En</span><span style="background-color: white; color: #333333; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;"> la </span><a href="http://www.feriadelaciencia.org/" style="background-color: white; border-bottom-color: rgb(255, 255, 255); border-bottom-style: dotted; border-width: 0px 0px 1px; color: #666666; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px; margin: 0px; padding: 0px; text-decoration: none; vertical-align: baseline;" target="_blank" title="Ir a la web de la Feria de la Ciència de Sevilla">Feria de la Ciencia de Sevilla</a>, un<span style="background-color: white; color: #333333; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;">a de las actividades, propuesta por </span><a href="https://mobile.twitter.com/twalmar" style="background-color: white; border-bottom-color: rgb(255, 255, 255); border-bottom-style: dotted; border-width: 0px 0px 1px; color: #a15300; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px; margin: 0px; padding: 0px; text-decoration: none; vertical-align: baseline;" target="_blank" title="Ir a la página twitter de Alberto Márquez">Alberto Márquez</a><span style="background-color: white; color: #333333; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;">, que se realizaron en el apartado de matemáticas fue ‘</span><a href="https://mobile.twitter.com/search?q=%23mateen140" style="background-color: white; border-bottom-color: rgb(255, 255, 255); border-bottom-style: dotted; border-width: 0px 0px 1px; color: #a15300; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px; margin: 0px; padding: 0px; text-decoration: none; vertical-align: baseline;" target="_blank" title="Ir a tweeter">Matemáticas en 140 caracteres’</a><span style="background-color: white; color: #333333; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;">. Como sugiere el título de la actividad, la idea era proponer problemas de matemáticas planteados en un máximo de 140 caracteres, lo justo para que puedan entrar en un mensaje de twitter.</span></div>
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<span style="background-color: white; color: #333333; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px;">La iniciativa tuvo una gran aceptación ¡Y hay pruebas de ello: </span><a href="http://www.tweetdoc.org/View/71255/Menciones--#MateEn140" style="background-color: white; border-bottom-color: rgb(255, 255, 255); border-bottom-style: dotted; border-width: 0px 0px 1px; color: #a15300; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px; margin: 0px; padding: 0px; text-decoration: none; vertical-align: baseline;" target="_blank" title="Ir a tweetdoc">podemos ver todo el desarrollo de la sesión!</a></div>
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<a href="http://www.tweetdoc.org/View/71255/Menciones--#MateEn140" target="_blank"><img alt="" border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzuWrt4AUMsFcCbkyyqZ64FjQ6e69Jkrgqkbr4u85LZ6knbYZ3hL8xPcr4pEUZNVbm-33adHPWXLd1kVWoygtpeQP7Y6Vfl7Dx6CxK9Fxlb5Ju9AvSBmzeeIDsPVQqocWcv5-eZZhVaVMj/s1600/tweetdoc.JPG" height="320" title="" width="166" /></a><a href="http://www.tweetdoc.org/View/71255/Menciones--#MateEn140" style="background-color: white; border-bottom-color: rgb(255, 255, 255); border-bottom-style: dotted; border-width: 0px 0px 1px; color: #a15300; font-family: Arial, Verdana, Helvetica, arial, sans-serif; line-height: 22px; margin: 0px; padding: 0px; text-decoration: none; vertical-align: baseline;" target="_blank" title="Ir a tweetdoc"></a></div>
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Con todos estos problemas, fáciles, difíciles, ¿quién tiene tiempo para darles un vistazo y clasificarles?</div>
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Gracias a las informaciones del blog de <a href="http://www.juanmerodio.com/2011/tweetdoc-crea-un-informe-con-todos-los-tweets-de-un-hashtag/" target="_blank">Juan Merodio</a> y del <a href="http://blogs.cadenaser.com/grado-361/2013/05/17/el-reto-del-viernes-dia-de-internet/" target="_blank">grado361</a>Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-11971464050578976352013-05-16T09:45:00.000-07:002013-05-16T09:45:48.499-07:00Vídeos matemáticos<span style="background-color: white; font-family: inherit;">Monólogo <span style="color: #333333; line-height: 17px;"> </span><span style="color: #333333; line-height: 17px;">ganador de la primera edición de <b><a href="http://www.famelab.es/es" target="_blank">Famelab</a></b> en España, en 2013 </span><span style="color: #4d4d4d; line-height: 21.984375px;">cuyo principal objetivo era fomentar la divulgación de la ciencia identificando, formando y dando a conocer nuevos talentos entre los que trabajan en ciencia a través de un formato innovador, el monólogo científico.</span></span><br />
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Otro de festivales, este de cortos con el número $\pi$ de protagonista <b><i><a href="http://www.jamesonnotodofilmfest.com/cortos.html?id=cw5124c37c130e2" target="_blank">Pipas</a></i></b> de <b><i>Manuela Moreno</i></b> del <b><i><a href="http://www.jamesonnotodofilmfest.com/index.html" target="_blank">Jameson notodofilmfest</a></i></b></div>
Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-68054782957691858822013-05-07T10:30:00.000-07:002013-05-07T12:48:18.573-07:00MatemagiaEl 12 de mayo (conmemorando el nacimiento de <strong><em>Puig Adam</em></strong>, matemático español muy interesado por la enseñanza de las matemáticas) se celebra el día escolar de las matemáticas y mi compañero <strong><em>Antonio Arroyo</em></strong> realizó una sesión de <strong>MateMagia</strong> que el <em><a href="http://cfieburgos.centros.educa.jcyl.es/sitio/index.cgi?wid_item=100&wid_seccion=12" target="_blank">CFIE de Burgos</a></em> grabó y publicó <a href="http://cfieburgos.centros.educa.jcyl.es/sitio/index.cgi?wid_item=100&wid_seccion=12" target="_blank">actividades </a>relacionadas con la sesión y podemos disfrutar todos en <a href="http://youtu.be/atwTJZYU1uQ" target="_blank">youtube</a><br />
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Se ha creado un grupo de trabajo a nivel regional de profesores de matemáticas de las distintas universidades y de la Asociación Castellana y Leonesa de Educación Matemática “Miguel de Guzmán”, para la generación de sinergias en torno a las matemáticas.<br />
Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-66192994634081692302013-04-27T02:47:00.000-07:002013-04-27T02:52:36.290-07:00Blog para 1º ESOInteresante <a href="http://iesastillero.no-ip.info/matex1eso/" target="_blank">blog para 1º de la ESO</a>. Con escenas interactivas realizadas con geogebra y apuntes muy claros. De <span style="background-color: white;"><i style="font-family: Tahoma, Verdana, Arial, Helvetica, sans-serif; font-size: 14px; line-height: 23px;"><b>Francisco Javier Glez Ortiz</b></i><span style="font-family: Tahoma, Verdana, Arial, Helvetica, sans-serif;"><span style="font-size: 14px; line-height: 23px;">, profesor autor también de los apuntes de<a href="http://personales.unican.es/gonzaleof/" target="_blank"> MateX para bachillerato</a> que siempre recomiendo a mis alumnos.</span></span></span><br />
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<a href="http://iesastillero.no-ip.info/matex1eso/" target="_blank"><img alt="" border="0" height="192" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjezHcaIF4o6SWgsrbIgvDjXthaTLd7m5Rjg0QfTILJsL9bCUWYwudNuQG8nN6Z2A0Xz5uzr4n_W6B2XgEtL1j6R51TR_TMqhv7RQIz87vJlrdGLMtlVIOEnEDH7BatTiqCXDDtISPbjoeI/s320/MaTex+1%C2%BA+ESO.JPG" title="MaTex 1º ESO" width="320" /></a></div>
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<a href="http://personales.unican.es/gonzaleof/" target="_blank"> <img border="0" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhtoKo_EBJ7s9UZumsqX_CY6RcOMNosH1JX618PoXiXqK9mlJzLMAvICAaZiLlpc2nmV6EFxMPZy0860ZdClQY85Rrg6NiCdobgvcOJn5_FNCnUeSWhPr_og2IGXVxdbHBiMjWIrtkZmlnc/s320/MaTex.JPG" width="320" /></a></div>
<br />Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-15741947398139734512013-04-24T09:25:00.000-07:002013-04-24T09:42:47.822-07:00LaTex <script type="text/x-mathjax-config"> MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}}); </script> <script src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML" type="text/javascript"> </script>
LaTex es un <span style="background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19.1875px;"> </span><span style="background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19.1875px;">es un sistema de composición de textos, orientado especialmente a la creación de libros, documentos científicos y técnicos que contengan fórmulas matemáticas, es decir utiliza comandos para formatear fórmulas matemáticas. Con el <a href="http://holdenweb.blogspot.com.es/2011/11/blogging-mathematics.html" target="_blank">script</a> de <a href="http://docs.mathjax.org/en/latest/platforms/index.html" target="_blank">mathjax</a> podemos utilizar latex en las entradas y </span><span style="background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19.1875px;">los comentarios con los comandos de LaTex con los modificadores dolar <b>$</b> o contrabarra y corchete <b>\[</b> para empezar y dolar '<b>$</b>' para cerrar o contrabarra y corchete <b>\]</b> (Doble dolar <b>$$</b> para centrar)</span><br />
<span style="background-color: white; font-family: sans-serif; font-size: 13px; line-height: 19.1875px;">Como ejemplo:</span><br />
<b><i>\<span style="font-size: x-small;">[ P(E) = {n \choose k} p^k (1-p)^{n-k}\]</span></i></b><br />
<pre style="background-color: white; color: #333333; font-size: 15px; line-height: 20px;"><pre></pre>
</pre>
\[P(E) = {n \choose k} p^k (1-p)^{n-k}\]
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<b><i>$<span style="font-size: x-small;">\frac{\partial \rho}{\partial t} + \nabla \cdot \vec{\mathbf{j}} = 0 $</span></i></b><br />
$\frac{\partial \rho}{\partial t} + \nabla \cdot \vec{\mathbf{j}} = 0 $<br />
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<b><i>$$<span style="font-size: x-small;"> m = \frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}} $$</span></i></b><br />
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$$ m = \frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}} $$<br />
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Una pequeña ayuda y enlaces en la <a href="http://es.wikipedia.org/wiki/LaTeX" target="_blank">wikipedia</a><br />
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Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com1tag:blogger.com,1999:blog-8604439902174026158.post-68926641311255838952013-04-17T12:16:00.000-07:002013-04-17T12:16:38.545-07:00Doodle matemáticoNo es la primera vez que los de <i>Google </i>nos recuerdan una fecha relacionada con las matemáticas y las ciencias. Esta vez le tocó a la persona de <a href="http://es.wikipedia.org/wiki/Leonhard_Euler" target="_blank">Leonhard Euler</a><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDpUnNVa2sU9lazbi5S9kX3ekgk0P3H-m2I2mjBw_aRgboU4NnxGavBdV_yV2TXVH2B3aSBxDcEYGEA1XzXxDFF8O9Gpj2ua-60soQlZtKpcZkBbA7NMJ6m-ViMCxU0vVgsuy6sdIYfeYJ/s1600/DoodleEuler.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDpUnNVa2sU9lazbi5S9kX3ekgk0P3H-m2I2mjBw_aRgboU4NnxGavBdV_yV2TXVH2B3aSBxDcEYGEA1XzXxDFF8O9Gpj2ua-60soQlZtKpcZkBbA7NMJ6m-ViMCxU0vVgsuy6sdIYfeYJ/s1600/DoodleEuler.JPG" /></a></div>
Para conseguir los <i>doodles</i> por fechas utiliza el <a href="http://www.google.com/doodles/finder/2013/All%20doodles" target="_blank">buscador</a>Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-74291483882197149972013-04-12T14:59:00.001-07:002013-04-17T12:00:15.125-07:00Letra del DNI<div dir="ltr">
<a href="http://www.aulademate.com/contentid-90.html">CALCULAR LA LETRA DEL DNI - Matemáticas ejercicios de Matemáticas juegos</a><br />
Pequeño ejercicio de programación para hacerlo con wiris o excell (nos pasamos mejor a software libre del OpenOffice), recordando mis tiempos de profesor de informática</div>
Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-13616107624613510092013-04-06T01:36:00.001-07:002013-04-06T01:36:09.338-07:00Entradas del blog en TwitterGracias a <span style="background-color: white; color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 19px;"> </span><a href="http://feedburner.google.com/fb/a/myfeeds" style="-webkit-transition: color 0.3s; background-color: white; color: #009eb8; display: inline; font-family: 'Helvetica Neue Light', HelveticaNeue-Light, 'Helvetica Neue', Helvetica, Arial, sans-serif; font-size: 14px; line-height: 19px; outline: none; text-decoration: none; transition: color 0.3s;">http://feedburner.google.com/fb/a/myfeeds</a><span style="background-color: white; color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 19px;"> mis publicaciones del blog las twiteo directamente. </span><br />
<span style="background-color: white; color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 19px;">Buscaré ahora la manera de hacer lo contrario</span>Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0tag:blogger.com,1999:blog-8604439902174026158.post-63613994331250018962013-03-30T02:17:00.003-07:002013-04-05T03:39:50.839-07:00Matrículas<div>
Problema matrículas <a href="http://blogs.cadenaser.com/grado-361/" target="_blank">grado 361</a> <a href="http://blogs.cadenaser.com/grado-361/"><br /></a>Lo que es internet. Me despierto y pienso en algebra xxyy= 11(100x+y)= 11a^2. Descubro el número. Lo twitteo en @alfgoralo y compruebo que en un click tenía la solución sin pensar nada. ¿Internet lo tiene todo?</div>
Alfredo Gordillohttp://www.blogger.com/profile/05147345689806555352noreply@blogger.com0