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Materiais do Día GeoGebra de Galicia | Agapema - Asociación Galega do Profesorado de Educación Matemática

Materiais do Día GeoGebra de Galicia

  • user warning: UPDATE command denied to user '1399681-1'@'10.0.83.124' for table 'drp_cache_filter' query: UPDATE drp_cache_filter SET data = '<p>&nbsp;</p>\n<p>Conferencia Inaugural: <em>&quot;</em><em><a href=\"http://www.agapema.org/sites/default/files/DGG2015_GeoGebra_Ensenanza_Matematica_jose_santos.pdf\" target=\"_blank\"><strong>GeoGebra, Ensinanza e Matem&aacute;ticas</strong></a>&quot;</em>, Jos&eacute; Manuel dos Santos (I.G. de Portugal)</p>\n<p class=\"rteindent1\"><u>Resumo</u>:Nesta charla, presentamos algunhas aplicaci&oacute;ns de GeoGebra para ver obxectos en 3D e 4D, promovendo a comprensi&oacute;n dos conceptos e as s&uacute;as propiedades inherentes. Menci&oacute;nanse, brevemente, as primeiras experiencias en tres dimensi&oacute;ns, a forma como se fixeran a exploraci&oacute;n dos conceptos e a representaci&oacute;n de obxectos fract&aacute;is.<br />\n Descr&iacute;bese unha primeira experiencia no uso de GeoGebra con capacidades 3D nunha clase de estudantes do 10&ordm; grao da educaci&oacute;n secundaria, seguido dunha mostra de novas capacidades do GeoGebra, dispo&ntilde;ibles a partir da versi&oacute;n 4.9 beta, tales como: a manipulaci&oacute;n de obxectos planos no espazo; a representaci&oacute;n de funci&oacute;ns vectoriais reais dunha ou d&uacute;as dimensi&oacute;ns de d&uacute;as variables reais, utilizando a t&eacute;cnica do dominio de coloridos no caso de catro dimensi&oacute;ns.</p>\n<p>Conferencia de Clausura: <em>&ldquo;<strong><a href=\"http://geogebra.es/rafa15-4.rar\" target=\"_blank\">Vendo o invisible con GeoGebra</a></strong>&rdquo;</em>, Rafael Losada (I.G. de Cantabria)</p>\n<p class=\"rteindent1\"><u>Resumo</u>: <em>Con GeoGebra podemos visualizar as relaci&oacute;ns existentes entre distintos obxectos matem&aacute;ticos sen necesidade de co&ntilde;ecer nin a s&uacute;a expresi&oacute;n alx&eacute;brica nin saber constru&iacute;los. Esta visualizaci&oacute;n non s&oacute; axuda a unha mellor comprensi&oacute;n das relaci&oacute;ns implicadas sen&oacute;n que constit&uacute;e un m&eacute;todo particularmente valioso na investigaci&oacute;n do seu comportamento e no descubrimento de novas relaci&oacute;ns</em>.</p>\n<p><a href=\"http://www.agapema.org/sites/default/files/DGG_obradoiro_iniciacion.pdf\" target=\"_blank\"><strong>Obradoiro de Iniciaci&oacute;n</strong></a>: Grupo XeoDin (Esperanza Gesteira, Ignacio Larrosa y Fernando Zacar&iacute;as, I.G. de Galicia)</p>\n<p><a href=\"http://www.agapema.org/sites/default/files/DGG_Obradoiro_Afianzamento_DosSantos.pdf\" target=\"_blank\"><strong>Obradoiro de Afianzamento</strong></a>: &nbsp;Jos&eacute; Manuel dos Santos (I.G. de Portugal)</p>\n<h2>\n Comunicaci&oacute;ns:</h2>\n<p><strong>C-1:&nbsp;&nbsp; </strong><a href=\"https://drive.google.com/file/d/0BxasvDJC3vuDbDVQSTR2NEFOUkE/view?usp=sharing\" target=\"_blank\"><strong><em>Vectores con GeoGebra en 1&ordm; de Bacharelato</em></strong>.</a> <u>L&oacute;pez P&eacute;rez, Paula; Rodr&iacute;guez D&iacute;az, Ana; Varela Rodr&iacute;guez, Marta Esther; Crespo Otero, Alfredo</u>. <em>IES As Mari&ntilde;as</em>.<br />\n Trataremos os contidos que vimos con GeoGebra nos temas de Vectores e Xeometr&iacute;a anal&iacute;tica, problemas af&iacute;ns e m&eacute;tricos, e como afrontamos ditos problemas nos exames co programa</p>\n<p><strong>C-2:&nbsp;&nbsp; </strong><a href=\"https://drive.google.com/file/d/0BxasvDJC3vuDT3hKNk5ydW5rUm8/view?usp=sharing\" target=\"_blank\"><strong><em>&Aacute;lxebra con GeoGebra en 3&ordm; de ESO</em></strong></a>. <u>Arcay L&oacute;pez, Laura; Cagiao Ted&iacute;n, Laura; Veiga Presa, Laura; Veiga Couceiro, Diego; Y&aacute;&ntilde;ez Cagiao, Alejandro</u>. <em>IES As Mari&ntilde;as</em>.<br />\n Trataremos o que vimos na clase e como afrontamos os exames con GeoGebra nos temas de fracci&oacute;ns alx&eacute;bricas, ecuaci&oacute;ns e sistemas.</p>\n<p><strong>C-3:&nbsp;&nbsp; </strong><a href=\"https://drive.google.com/file/d/0BxasvDJC3vuDNC1iZXBySmF4UjQ/view?usp=sharing\" target=\"_blank\"><strong><em>Xeometr&iacute;a anal&iacute;tica. Problemas af&iacute;ns e m&eacute;tricos con GeoGebra en 1&ordm; de Bacharelato</em></strong></a>. <u>L&oacute;pez P&eacute;rez, Paula; Rodr&iacute;guez D&iacute;az, Ana; Varela Rodr&iacute;guez, Marta Esther; Crespo Otero, Alfredo</u>.<em>IES As Mari&ntilde;as</em>.<br />\n Trataremos os contidos que vimos con GeoGebra nos temas de Vectores e Xeometr&iacute;a anal&iacute;tica, problemas af&iacute;ns e m&eacute;tricos, e como afrontamos ditos problemas nos exames co programa.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</p>\n<p><strong>C-4:&nbsp;&nbsp; </strong><strong><em><a href=\"http://www.agapema.org/sites/default/files/DGG_Comunicacion_04.zip\" target=\"_blank\">Funci&oacute;ns co GeoGebra</a>.</em></strong><u>Blanco Cao, Sheila; Carnota Bello, Lidia; Rodr&iacute;guez Mato, Silvia</u>. <em>IES N&ordm; 1 de Ordes</em>.<br />\n Estudio gr&aacute;fico das caracter&iacute;sticas das funci&oacute;ns, dominio, percorrido, simetr&iacute;as. Anal&iacute;zanse as operaci&oacute;ns con funci&oacute;ns, tanto dende o punto de vista gr&aacute;fico , como alx&eacute;brico. Translaci&oacute;n e dilataci&oacute;n de funci&oacute;ns. Estudio da inversa dunha funci&oacute;n.</p>\n<p><strong>C-5:&nbsp;&nbsp; </strong><a href=\"http://www.agapema.org/sites/default/files/DGG_Comunicacion_05.zip\" target=\"_blank\"><strong><em>Resoluci&oacute;n de sistemas de ecuaci&oacute;ns lineais, non lineais e inecuaci&oacute;ns con GeoGebra</em></strong></a>. <u>Blanco Mira, Luc&iacute;a; P&eacute;rez L&oacute;pez, Paula; Danis Viqueira, Ainhoa</u>. <em>IES N&ordm; 1 de Ordes</em>.<br />\n Estudio&nbsp; gr&aacute;fico da resoluci&oacute;n de sistemas de ecuaci&oacute;ns lineais. Problemas que presenta a resoluci&oacute;n gr&aacute;fica de sistemas con ecuaci&oacute;ns non lineais, e procedementos para salvar estas dificultades. Estudio da Rexi&oacute;n factible e o c&aacute;lculo de v&eacute;rtices.</p>\n<p><strong>C-6:&nbsp;&nbsp; </strong><a href=\"http://www.agapema.org/sites/default/files/DGG_Comunicacion_06.zip\" target=\"_blank\"><strong><em>Xogos en GeoGebra: Pong</em></strong></a>. <u>Lobeiras Blanco, Jacobo</u>. <em>Facultade de Ciencias da Educaci&oacute;n. Universidade da Coru&ntilde;a</em>.<br />\n Usarase o antigo xogo &quot;Pong&quot; como exemplo sinxelo para demostrar os conceptos b&aacute;sicos necesarios para abordar a elaboraci&oacute;n de xogosen GeoGebra. Empregando as mesmas estratexias &eacute; posible constru&iacute;r outros xogos, animaci&oacute;ns, parametrizar con fins did&aacute;cticas ou actividades cun alto grao de interactividade (pequenos crebacabezas de l&oacute;xica ou xogos de azar probabil&iacute;sticos). A&iacute;nda que a proposta pode servir como pequena introduci&oacute;n &aacute; programaci&oacute;n m&aacute;is xeral, en realidade apenas neces&iacute;tanse usar funci&oacute;ns de linguaxe de scripting (&quot;IniciarAnimacion&quot; e &quot;Valor&quot;). Isto fai que mesmo poida ser apto para estudantes que se estean a familiarizar con GeoGebra.</p>\n<p><strong>C-7:&nbsp;&nbsp; </strong><a href=\"http://ggbtu.be/m1157309\" target=\"_blank\"><strong><em>Calculadora de Programaci&oacute;n Lineal</em></strong></a>. <u>S&aacute;nchez Pereira, Iv&aacute;n</u>. <em>Colexio Santa M&ordf; del Mar</em>.<br />\n Presentaci&oacute;n de construci&oacute;ns para o ensino e aprendizaxe da Programaci&oacute;n Lineal na etapa de Bacharelato.</p>\n<p><strong>C-8:&nbsp;&nbsp; </strong><a href=\"http://ggbtu.be/mf83u0Waz\" target=\"_blank\"><strong><em>Se a vida &eacute; un bingo, GeoGebra unha oportunidade...</em></strong></a>. <u>Ru&iacute;z N&uacute;&ntilde;ez, Rosa Mar&iacute;a</u>. <em>Facultad de Educaci&oacute;n &quot;Duques de Soria&quot; (Universidad de Valladolid).</em><br />\n ​Para comezar a utilizar GeoGebra na aula necesitamos a nosa experiencia docente e os co&ntilde;ecementos matem&aacute;ticos que posu&iacute;mos. Pero, ademais, existe un requisito fundamental: contar cos nosos alumnos. Calquera proposta did&aacute;ctica ter&iacute;a pouco sentido se non est&aacute; destinada a satisfacer as s&uacute;as necesidades de aprendizaxe.<br />\n Esta comunicaci&oacute;n est&aacute; baseada nunha experiencia que estou a levar a cabo con alumnos de 1&ordm; curso de Grao en Primaria, na materia &quot;Fundamentos Num&eacute;ricos e estratexias did&aacute;cticas para o seu ensino&quot;, pero moi ben poder&iacute;a utilizarse nos dous primeiros cursos de ESO. O contido matem&aacute;tico, o c&aacute;lculo.<br />\n Con ela quero demostrar que aprender con eles sempre &eacute; posible.</p>\n<p><strong>C-9:&nbsp;&nbsp; </strong><a href=\"http://www.agapema.org/sites/default/files/DGG_Comunicacion_09.pdf\" target=\"_blank\"><strong><em>Mosaicos para teselar o plano</em></strong></a>. <u>Maneiro Catoira, Roberto</u>. <em>IES Rafael Puga Ram&oacute;n. </em><br />\n a) Construci&oacute;n dun hex&aacute;gono regular a partires dun hex&aacute;gono irregular. b) Construci&oacute;n dun hex&aacute;gono regular a partires dun trapecio is&oacute;sceles. &Aacute;mbolos dous casos teselan o plano.</p>\n<p><strong><em><strong>C-10:&nbsp;&nbsp; </strong><a href=\"http://www.agapema.org/sites/default/files/DGG_Comunicacion_10.zip\" target=\"_blank\">Actividade interdisciplinar co departamento de Galego</a></em></strong>. <u>Maneiro Catoira, Roberto</u>. <em>IES Rafael Puga Ram&oacute;n</em>.<br />\n Roset&oacute;ns de templos galegos con Geogebra.</p>\n', created = 1498232789, expire = 1498319189, headers = '', serialized = 0 WHERE cid = '2:17e5e5b5d6f713c1ba22a5c27cf961c2' in /home/agapema/www/includes/cache.inc on line 109.
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Conferencia Inaugural: "GeoGebra, Ensinanza e Matemáticas", José Manuel dos Santos (I.G. de Portugal)

Resumo:Nesta charla, presentamos algunhas aplicacións de GeoGebra para ver obxectos en 3D e 4D, promovendo a comprensión dos conceptos e as súas propiedades inherentes. Menciónanse, brevemente, as primeiras experiencias en tres dimensións, a forma como se fixeran a exploración dos conceptos e a representación de obxectos fractáis.
Descríbese unha primeira experiencia no uso de GeoGebra con capacidades 3D nunha clase de estudantes do 10º grao da educación secundaria, seguido dunha mostra de novas capacidades do GeoGebra, dispoñibles a partir da versión 4.9 beta, tales como: a manipulación de obxectos planos no espazo; a representación de funcións vectoriais reais dunha ou dúas dimensións de dúas variables reais, utilizando a técnica do dominio de coloridos no caso de catro dimensións.

Conferencia de Clausura: Vendo o invisible con GeoGebra, Rafael Losada (I.G. de Cantabria)

Resumo: Con GeoGebra podemos visualizar as relacións existentes entre distintos obxectos matemáticos sen necesidade de coñecer nin a súa expresión alxébrica nin saber construílos. Esta visualización non só axuda a unha mellor comprensión das relacións implicadas senón que constitúe un método particularmente valioso na investigación do seu comportamento e no descubrimento de novas relacións.

Obradoiro de Iniciación: Grupo XeoDin (Esperanza Gesteira, Ignacio Larrosa y Fernando Zacarías, I.G. de Galicia)

Obradoiro de Afianzamento:  José Manuel dos Santos (I.G. de Portugal)

Comunicacións:

C-1:   Vectores con GeoGebra en 1º de Bacharelato. López Pérez, Paula; Rodríguez Díaz, Ana; Varela Rodríguez, Marta Esther; Crespo Otero, Alfredo. IES As Mariñas.
Trataremos os contidos que vimos con GeoGebra nos temas de Vectores e Xeometría analítica, problemas afíns e métricos, e como afrontamos ditos problemas nos exames co programa

C-2:   Álxebra con GeoGebra en 3º de ESO. Arcay López, Laura; Cagiao Tedín, Laura; Veiga Presa, Laura; Veiga Couceiro, Diego; Yáñez Cagiao, Alejandro. IES As Mariñas.
Trataremos o que vimos na clase e como afrontamos os exames con GeoGebra nos temas de fraccións alxébricas, ecuacións e sistemas.

C-3:   Xeometría analítica. Problemas afíns e métricos con GeoGebra en 1º de Bacharelato. López Pérez, Paula; Rodríguez Díaz, Ana; Varela Rodríguez, Marta Esther; Crespo Otero, Alfredo.IES As Mariñas.
Trataremos os contidos que vimos con GeoGebra nos temas de Vectores e Xeometría analítica, problemas afíns e métricos, e como afrontamos ditos problemas nos exames co programa.            

C-4:   Funcións co GeoGebra.Blanco Cao, Sheila; Carnota Bello, Lidia; Rodríguez Mato, Silvia. IES Nº 1 de Ordes.
Estudio gráfico das características das funcións, dominio, percorrido, simetrías. Analízanse as operacións con funcións, tanto dende o punto de vista gráfico , como alxébrico. Translación e dilatación de funcións. Estudio da inversa dunha función.

C-5:   Resolución de sistemas de ecuacións lineais, non lineais e inecuacións con GeoGebra. Blanco Mira, Lucía; Pérez López, Paula; Danis Viqueira, Ainhoa. IES Nº 1 de Ordes.
Estudio  gráfico da resolución de sistemas de ecuacións lineais. Problemas que presenta a resolución gráfica de sistemas con ecuacións non lineais, e procedementos para salvar estas dificultades. Estudio da Rexión factible e o cálculo de vértices.

C-6:   Xogos en GeoGebra: Pong. Lobeiras Blanco, Jacobo. Facultade de Ciencias da Educación. Universidade da Coruña.
Usarase o antigo xogo "Pong" como exemplo sinxelo para demostrar os conceptos básicos necesarios para abordar a elaboración de xogosen GeoGebra. Empregando as mesmas estratexias é posible construír outros xogos, animacións, parametrizar con fins didácticas ou actividades cun alto grao de interactividade (pequenos crebacabezas de lóxica ou xogos de azar probabilísticos). Aínda que a proposta pode servir como pequena introdución á programación máis xeral, en realidade apenas necesítanse usar funcións de linguaxe de scripting ("IniciarAnimacion" e "Valor"). Isto fai que mesmo poida ser apto para estudantes que se estean a familiarizar con GeoGebra.

C-7:   Calculadora de Programación Lineal. Sánchez Pereira, Iván. Colexio Santa Mª del Mar.
Presentación de construcións para o ensino e aprendizaxe da Programación Lineal na etapa de Bacharelato.

C-8:   Se a vida é un bingo, GeoGebra unha oportunidade.... Ruíz Núñez, Rosa María. Facultad de Educación "Duques de Soria" (Universidad de Valladolid).
​Para comezar a utilizar GeoGebra na aula necesitamos a nosa experiencia docente e os coñecementos matemáticos que posuímos. Pero, ademais, existe un requisito fundamental: contar cos nosos alumnos. Calquera proposta didáctica tería pouco sentido se non está destinada a satisfacer as súas necesidades de aprendizaxe.
Esta comunicación está baseada nunha experiencia que estou a levar a cabo con alumnos de 1º curso de Grao en Primaria, na materia "Fundamentos Numéricos e estratexias didácticas para o seu ensino", pero moi ben podería utilizarse nos dous primeiros cursos de ESO. O contido matemático, o cálculo.
Con ela quero demostrar que aprender con eles sempre é posible.

C-9:   Mosaicos para teselar o plano. Maneiro Catoira, Roberto. IES Rafael Puga Ramón.
a) Construción dun hexágono regular a partires dun hexágono irregular. b) Construción dun hexágono regular a partires dun trapecio isósceles. Ámbolos dous casos teselan o plano.

C-10:   Actividade interdisciplinar co departamento de Galego. Maneiro Catoira, Roberto. IES Rafael Puga Ramón.
Rosetóns de templos galegos con Geogebra.


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