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An activity involving geometry, arithmetic and numerical representations

Geeraerts, Loïc; Tanguay, Denis; Venant, Fabienne; Saboya, Mireille (2013). An activity involving geometry, arithmetic and numerical representations. En Morales, Yuri; Ramirez, Alexa (Eds.), Memorias I CEMACYC (pp. 1-10). Santo Domingo, República Dominicana: CEMACYC.

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Resumen

We propose the a priori analysis of an activity involving geometry, arithmetic and numerical representations of rational numbers. It starts with a geometric manipulation with GeoGebra and gradually leads students to consider the divisors of 360 and to reflect upon approximations and exact representations of angle measurements. A first ‘off-class’ experiment is presented and discussed, as a case study. Through it, we acknowledge that it is possible to design suitable teaching situations, so as to make students reflect in a meaningful context on the dualities ideal object / visual representation, exact measurements / approximations, and on the type of certainty intended from a mathematical standpoint. The activity takes place in the ‘geometer-physicist’ paradigm proposed by Tanguay & Geeraerts (2012, 2013) and instilled by Jahnke (2007, 2010).

Tipo de Registro:Capítulo o Sección de un Libro
Términos clave:13. Matemáticas escolares > Geometría
10. Otras nociones de Educación Matemática > Sistemas de representación
13. Matemáticas escolares > Números > Estructuras numéricas > Números racionales
03. Aula > Recursos didácticos > Recursos informáticos > Software
Nivel Educativo:Educación Secundaria Media (17 y 18 años)
Educación Secundaria Básica (13-16 años)
Código ID:4086
Depositado Por:Cristian Camacho
Depositado En:09 Jun 2014 13:13
Fecha de Modificación Más Reciente:07 Nov 2016 17:29
Valoración:

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