Uso de videoclips para aprender a enseñar matemáticas a los futuros maestros

Una de las competencias que deben desarrollar los futuros maestros es interpretar las producciones de los escolares. Estas producciones pueden tener un registro escrito, oral o audiovisual. De todos ellos el audiovisual es el más rico. Permite observar el contexto en que se propone la tarea y la comunicación verbal y no verbal de los participantes. Para conseguir este objetivo el Departamento de Innovación y Formación Didáctica, ha diseñado, grabado y editado videoclips en la aplicación “Vértice” de la Universidad de Alicante, como soporte de prácticas para realizar en las asignaturas de Didáctica de la Matemática de los grados de maestro en Educación Infantil y en Educación Primaria. El objetivo es que los futuros maestros aprendan a reconocer las evidencias del aprendizaje matemático de los alumnos de Educación Infantil o Educación Primaria usando el conocimiento de Didáctica de la Matemática. En dichas prácticas deben responder a una serie de cuestiones que se les formulan justificándolas desde la teoría.

Postproduciendo (casi) nada

Postproducción es un término extraído de la industria audiovisual que alude a todas las operaciones realizadas sobre un material YA grabado o existente: música, fotografías, videos, películas, pinturas, etc. Tiene mayoritariamente un carácter entrópico, de liberación continua e irreversible de energías y nuevos productos reprogramados que revisan productos ya anteriormente reprogramados, y así de manera sucesiva hasta el infinito. ¿Podríamos imaginar una postproducción de sentido contrario? ¿Una postproducción cuyo esfuerzo tienda a cero? ¿Y si ahora preferimos seguir postproduciendo pero haciéndolo desde (casi) nada? Si extrapolamos esta otra acepción directamente hacia la práctica arquitectónica, estaríamos reivindicando una forma explícita de eficacia donde la manera de proceder (la mejor opción, la más sostenible) puede ser precisamente ‘no hacer’ o ‘hacer muy poco’. Una semejanza que nos emparentaría con Bartleby, el personaje de Herman Melville y su célebre frase: “preferiría no hacerlo”.

Peru, 1871 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Mappa del Perù, por Daniel Barrera ; grabado por Erhard Schieble. It was published by Imprenta Lemercier in 1871. Scale [ca. 1:3,000,000]. Covers Peru and portions of Bolivia, Brazil, Chile, Colombia, and Ecuador. Map in Spanish.The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, roads, railroads, canals, ports, administrative boundaries (including departamentos), mines and mineral locations, shoreline features, and more. Relief shown by hachures.This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 11 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 10. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 11 of 14 total images of the fourteen sheet source map. Covers a portion of Región del Biobío and Región de la Araucanía, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 12 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 11. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 12 of 14 total images of the fourteen sheet source map. Covers a portion of Región de la Araucanía and Región de Los Ríos, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 13 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 12. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 13 of 14 total images of the fourteen sheet source map. Covers a portion of Región de Los Ríos and Región de Los Lagos, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 14 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 13. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 14 of 14 total images of the fourteen sheet source map. Covers a portion of Región de Los Lagos, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 2 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 2. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 2 of 14 total images of the fourteen sheet source map. Covers a portion of Región de Atacama and Región de Coquimbo, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 3 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 3. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 3 of 14 total images of the fourteen sheet source map. Covers a portion of Región de Atacama and Región de Coquimbo, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 4 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 4. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 4 of 14 total images of the fourteen sheet source map. Covers a portion of Región de Coquimbo, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 5 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 5. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 5 of 14 total images of the fourteen sheet source map. Covers a portion of Región de Coquimbo, Región de Valparaíso, and Región Metropolitana de Santiago, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 6 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 6. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 6 of 14 total images of the fourteen sheet source map. Covers a portion of Región de Valparaíso, Región Metropolitana de Santiago, and Región del Libertador General Bernardo O'Higgins, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 7 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 7. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 7 of 14 total images of the fourteen sheet source map. Covers a portion of Región Metropolitana de Santiago, Región del Libertador General Bernardo O'Higgins, and Región del Maule, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 8 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 8. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 8 of 14 total images of the fourteen sheet source map. Covers a portion of Región del Maule and Región del Biobío, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Chile, 1873 (Image 9 of 14) (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Plano topografico y geologico de la Republica de Chile levantado por orden del gobierno, baja la direccion de A. Pissis ; grabado por N. Desmadryl. Sheet 9. It was published by Ch. Chardon in 1873. Scale [ca. 1:250,000]. This layer is image 9 of 14 total images of the fourteen sheet source map. Covers a portion of Región del Maule and Región del Biobío, Chile. Map in Spanish. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Mercator' projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, roads, railroads, cities and other human settlements, territorial boundaries, selected buildings and built-up areas, mines and mineral locations, geological features, and more. Relief shown by hachures and shading. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.