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{{OJo|1=Cada vez que se ingresa un nuevo par de números en los ''campos de entrada'' es preciso corroborar pulsando una y otra vez en cada casillero la tecla {{KeyCode|Intro}} (en otros teclados, {{KeyCode|Enter}}) hasta que la representación gráfica se ''ajuste'' a los nuevos valores.}}
 
{{OJo|1=Cada vez que se ingresa un nuevo par de números en los ''campos de entrada'' es preciso corroborar pulsando una y otra vez en cada casillero la tecla {{KeyCode|Intro}} (en otros teclados, {{KeyCode|Enter}}) hasta que la representación gráfica se ''ajuste'' a los nuevos valores.}}
  
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" 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" 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/> </center>'''-->  
  
 
===Reducir las Medidas de la Ventana de GeoGebra===
 
===Reducir las Medidas de la Ventana de GeoGebra===
Línea 114: Línea 114:
 
====Jugando y Proporcionando====
 
====Jugando y Proporcionando====
 
Tomando, además del modelo de partida, cualquiera de los restantes, es posible no sólo encarar el desafío de armarlos sino también plantear desafíos que apunten a la cuestiones matemáticas en juego.
 
Tomando, además del modelo de partida, cualquiera de los restantes, es posible no sólo encarar el desafío de armarlos sino también plantear desafíos que apunten a la cuestiones matemáticas en juego.
'''<center><ggb_applet width="720" height="593"  version="4.2" 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 " /> </center>'''
  
 
===Dispositivo de Almacenamiento===
 
===Dispositivo de Almacenamiento===

Revisión del 13:53 30 oct 2013

Tutorial: De Bocetos a Hojas Dinámicos Mejoradas Diseño del Centro Babbage

Creación de Hojas Dinámicas de Trabajo

A partir de propuestas de Talleres de Centro Babbage - IG-Ar, de diseño de escenarios de trabajo, se indicará cómo crear una hoja dinámica y dejarla disponible de modo que los destinatarios, se concentren directamente en la cuestión matemática en juego...

  • sin pre-requisitos de dominio operativo
  • ni dedicaciones de tiempo en trazados no demasiado relevantes (desde el punto de vista del quehacer disciplinar)

Preparativos

Inspección y Análisis desde las Sumas Inferior y Superior

Observaciones : En la construcción se observa el diseño de un boceto para procurar el análisis de una función y revisar las diferencias entre valores que en ciertos intervalos presenta entre su Suma Inferior y su Suma Superior para diversos valores del número de rectángulos (establecidos por un deslizador).

Inspecciona.PNG

Pasos de Construcción

A continuación se detalla, a través de su Protocolo, los pasos para su construcción y posteriormente, se ilustra cómo pueden plantearse propuestas para Tool Function Inspector.gif inspeccionar la función f(x) = (-1) / 2 (x + 2)³ + 2(x + 1)³ - (x + 4.5) + 7 ingresada desde la Barra de Entrada y analizarla desde el punto de vista de las correspondientes sumas (inferior y superior).

Protocolo de la Construcción de Liliana Saidon Centro Babbage-IGI-Argentina - www.centrobabbage.com 2012

Sumas.PNG

Desafío: Analizar en qué intervalo (a establecer deslizando por el Eje x a los puntos + que lo determinan) y con qué número de rectángulos, resulta la suma inferior mucho más ajustada que la superior al valor de la integral definida y viceversa.

Múltiples Vistas para un Dinámico Algoritmo de Euclides

Una de las alternativas más potentes de GeoGebra es la de cruzar y multiplicar los registros matemáticos para abrir diversas puertas de entrada a cada cuestión a estudiar. El boceto dinámico que aparece a continuación, por ejemplo, ilustra el Algoritmo de Euclides en las diversas vistas que exponen, incluso, el trasfondo de su elaboración.

Bulbgraph.pngAtención: Cada vez que se ingresa un nuevo par de números en los campos de entrada es preciso corroborar pulsando una y otra vez en cada casillero la tecla Intro (en otros teclados, Enter) hasta que la representación gráfica se ajuste a los nuevos valores.


Reducir las Medidas de la Ventana de GeoGebra

GeoGebra exportará la Vista Algebraica y la Vista Gráfica hacia una figura dinámica de la hoja de trabajo. Para dejar mayor espacio para las explicaciones y consignas, es preciso disminuir las medidas de la ventana de GeoGebra realizando las siguientes maniobras antes de la exportación:

  • Reducir el tamaño de la ventana de GeoGebra arrastrando su esquina inferior derecha con el ratón o mouse (con la misma maniobra que se lleva adelante para reducir cualquier ventana de trabajo).
    Bulbgraph.pngAtención: El puntero cambia de forma cuando se pasa por encima de un borde o una esquina de la ventana de GeoGebra.
Nota: Aunque el applet interactivo podría entrar en una pantalla e incluso dejar algo de espacio para el texto en la hoja de trabajo, conviene asegurarse de contar con dimensiones suficientes como para permitir los ensayos y maniobras de exploración de los destinatarios.
  1. Item de lista numerada

Subir a GeoGebra

Después de ajustar las medidas de la Ventana de GeoGebra, queda todo listo para exportar la figura como hoja dinámica usando el Menú Archivo.

  • Archivo– Comparte
Compasete.PNG
  • Antes de proceder con la carga, se abre automáticamente el GeoGebra sitio web de GeoGebra para el ingreso de los datos (o la del registro inicial, en caso de tener que abrir previamente una cuenta, de tenerla aún) .
Tube 2..PNG
  • Para seguir adelante, es preciso...
    • Completar la información para los destinatarios - estudiantes, por ejemplo-.
    • Seleccionar, si se decide que también se van a incluir y mostrar, la Barra de Herramientas , la Barra de Entrada, y/o la Barra de Menú .
    • Continuar con un clic en el botón correspondientes
  • Es conveniente, además...
    • Escribir una breve explicación -que puede ser útil para los destinatarios y/o colegas que decidieran emplear el escenario diseñado-. Esta información no aparecerá en la hoja de trabajo.
    • Establecer el más adecuado grupo de destinatarios y seleccionar las etiquetas que describan el material para facilitar posteriores búsquedas.
  • Al pulsar el botón con el que se Guarda, se termina de subir el material que pasa a quedar almacenada en GeoGebra donde quienes así lo decidan, podrán dejar comentarios y hasta calificarlo según sus criterios o eventual experiencia.

Exportando una Hoja Dinámica a una Página Web (maniobra avanzada)

En lugar de subir un boceto a GeoGebra, es posible proceder a la opción que Exportar como Página Web html

  • Exporta – Hoja Dinámica como Página Web
    Bulbgraph.pngAtención: También puede emplearse la combinación de teclas Ctrl + Shift + W.


Exporta 2 .JPG
  • Para proceder, se debe...
    • Completar los campos de texto en la ventana asociada a la pestaña Exporta como Página Web (Título -de la hoja dinámica-, Autoría -nombre de quién/es lo desarrollara/n - y la Fecha).
    • Anotar...
      • una síntesis - acaso descriptiva - en el campo de Texto previo a la construcción .
      • posibles consignas, planteos, orientaciones a los destinatarios - estudiantes, por ejemplo - o desafíos en el campo de Texto debajo de la construcción.
  • Para guardar la hoja dinámica, basta un clic en el botón Exporta.
    Bulbgraph.pngAtención: GeoGebra permite conformar un conjunto funcional asociado a la hoja dinámica compuesto por varios archivos unidos. Conviene crear -antes de guardar las hojas - un nuevo directorio y una carpeta (por ejemplo, dentro de Hojas_Dinámicas, una denominada Introducción_GeoGebra ) para organizarlas allí según convenga.


Consejos y Trucos para Crear Hojas Dinámicas

  • Después de guardada, la hoja dinámica se abre automáticamente en el navegador web y es posible controlar...
    • la corrección del texto intercalado
    • a funcionalidad de la aplicación interactiva (applet).
  • Si desea modificar la hoja dinámica, es preciso....
    • volver al archivo de GeoGebra y
    • realizar los cambios necesarios en el boceto.
    • exportarlo nuevamente para aplicar los cambios (se puede utilizar el mismo nombre de archivo para sobrescribir el previo)
      Bulbgraph.pngAtención: Del mismo modo, se puede cambiar el texto de la hoja dinámica.
  • GeoGebra guarda automáticamente las entradas en la ventana de exportación de hojas dinámicas. Si se desea realizar cambios en la construcción mientras se completa la caja de diálogo de exportación, basta con cerrarla y continuar más adelante.
  • Es preciso controlar que el applet no resulte demasiado grande. Los destinatarios - estudiantes, por ejemplo - no deberían tener que desplazarse entre las consignas y el boceto porque esto dificulta el aprendizaje.
  • La hoja dinámica debe caber en una pantalla. Si se desea incluir más de tres tareas, valdría considerar la creación de otra hoja que incluya la misma construcción dinámica, pero indicando diferentes tareas.
  • Para mejorar la hoja dinámica incluyendo diferentes funciones y características, se puede recurrir a las opciones de la pestaña Avanzado de Exportar como Página Web html.

Diseñar y Proporcionar Hojas Dinámicas

Se pueden proporcionar hojas dinámicas de diversas maneras y en todos los casos es muy importante mantener unidos todos los archivos creados durante el proceso de exportación.

Nota: Los archivos creados tienen diferentes extensiones (.ggb, .html, .jar). Si falta uno de estos archivos, ya no podrá operar adecuadamente la hoja dinámica.

Recomendaciones

Algunas recomendaciones pueden recuperarse de las clásicas para el diseño del medio en que se desarrollará una situación didáctica. En ocasiones, el contenido con el que se quiere se topen los destinatarios del boceto está claramente delimitado y en esos casos, los desafíos se asumen acotados y precisos y serán preferibles:

  • interrogantes que apunten directamente a la cuestión a indagar_
    • así, ¿cómo lograrían que en la pieza con forma de paralelogramo, sus dos lados menores tengan dos unidades de longitud? es concreto y desencadena acción resolutiva con un propósito claro y controlable
    • en cambio, la pregunta... ¿qué sucede cuando se cambia una de las medidas?, por su amplitud y por complicarse otorgarle sentido en cuanto a la finalidad con que se formula, lo más probable es que provoque desconcierto

En otros, como en el de indagar cómo funciona una 'hoja de cálculo para establecer proporciones dinámicas, como se ilustra con el clásico Tangram, el ambiente de experimentación es el que configura toda una serie de desafíos que quien diseña debe organizar para que las exploraciones se realicen con creciente sistematicidad. Aún así, se puede considerar que algunos criterios, como...

  • delimitar el tipo de desafío y asociarlo a cierto tipo de tareas vinculadas a distintos registros, puede mantener su validez. Por ejemplo:
    • como las dimensiones generales del Tangram y de sus piezas se modifican a partir de un tipo de maniobra que remite a un registro propicio como el de la hoja de cálculo y las que se requieren para ampliar o reducir el modelo, en otro, es más probable que se encuentre alguna estrategia que, incluso, termine procurando el cruce de ambos marcos de operación
    • que el armado, que requiere desplazamiento y rotación (con pistas visuales para identificar el rol de cada punto integradas), se resuelva completamente en la Vista Gráfica , podría brindar una puerta de entrada más sencilla para empezar a jugar antes de pasar a los desafíos algebraicos que se registran y reflejan en la hoja de cálculo
Nota: Simultáneamente con las estrategias que se desencadenan al cruzar el juego de distintos cuadros o marcos matemáticos, el contar con distintos registros permite distinguir la diferencia cualitativa involucrada en cada tipo de tareas.

Protocolo del Boceto que lleva al Tangram

TangraPro.PNG

Pistas Visuales en el Tangram

En el boceto, el modelo que orienta el armado puede cambiar de dimensiones (desde los puntos que se establecen como vértices o esquinas de la imagen) y cada una de las piezas puede desplazarse o rotarse desde sendos puntos identificados con los dos signos distintivos mientras que el del + tiene un comportamiento estático.

Tangram 2.PNG

Es esperable que los que se enfrenten al desafío lo descubran o, que se les den indicaciones para que lo noten. Para cambiar las dimensiones, basta con ingresar un nuevo valor para el lado que rige el conjunto de relaciones proporcionales en el Tangram para que de inmediato se modifiquen los datos en la hoja de cálculo y el tamaño de las piezas.

Jugando y Proporcionando

Tomando, además del modelo de partida, cualquiera de los restantes, es posible no sólo encarar el desafío de armarlos sino también plantear desafíos que apunten a la cuestiones matemáticas en juego.

Dispositivo de Almacenamiento

Se deben copiar todos los archivos en el mismo directorio antes de guardarlo en un dispositivo de almacenamiento local (por ejemplo, un pendrive, una unidad flash, CD). Los destinatarios - estudiantes, por ejemplo -, deben copiar toda la carpeta (o directorio), en sus computadoras y abrir el archivo de extensión .html en su navegador de Internet. en:Tutorial:Creating and Enhancing Dynamic Worksheets with GeoGebra

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