TRABAJO MATEMÁTICO DE ESTUDIANTES DE SECUNDARIA EN TAREAS SOBRE TASA DE VARIACIÓN CON EL USO DE GEOGEBRA

Marco Ticse; Jesús Victoria Flores Salazar; Jorge Vivas-Pachas

doi:10.30827/pna.v17i4.24258

TRABAJO MATEMÁTICO DE ESTUDIANTES DE SECUNDARIA EN TAREAS SOBRE TASA DE VARIACIÓN CON EL USO DE GEOGEBRA

Marco Ticse, Jesús Victoria Flores Salazar, Jorge Vivas-Pachas

Sección de Matemáticas

Universidade Federal de Minas Gerais

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

From the Mathematical Didactics’ viewpoint about teaching Calculus, this paper aims to characterize the knowledge and mathematical work that emerges when high school students solve tasks about the rate of change mediated by GeoGebra. Based on the theory of Mathematical Working Spaces, we analyze the mathematical production of Chilean students (1617 years old) and conclude that making sense of the change rate starts from a work based on algorithmic processes and an interpretation/experimentation approach to the idea of variation and change emphasizing the role of the artefact, being particular to establish proof and demonstration processes.

Título traducido de la contribución	High School Students' Mathematical Work on Rate of Change Tasks by Using GeoGebra
Idioma original	Español
Páginas (desde-hasta)	425-452
Número de páginas	28
Publicación	PNA
Volumen	17
N.º	4
DOI	https://doi.org/10.30827/pna.v17i4.24258
Estado	Publicada - 2023

Palabras clave

GeoGebra
High school education
Mathematical work
Rate of change

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10.30827/pna.v17i4.24258

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abstract = "From the Mathematical Didactics{\textquoteright} viewpoint about teaching Calculus, this paper aims to characterize the knowledge and mathematical work that emerges when high school students solve tasks about the rate of change mediated by GeoGebra. Based on the theory of Mathematical Working Spaces, we analyze the mathematical production of Chilean students (1617 years old) and conclude that making sense of the change rate starts from a work based on algorithmic processes and an interpretation/experimentation approach to the idea of variation and change emphasizing the role of the artefact, being particular to establish proof and demonstration processes.",

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AU - Salazar, Jesús Victoria Flores

AU - Vivas-Pachas, Jorge

PY - 2023

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AB - From the Mathematical Didactics’ viewpoint about teaching Calculus, this paper aims to characterize the knowledge and mathematical work that emerges when high school students solve tasks about the rate of change mediated by GeoGebra. Based on the theory of Mathematical Working Spaces, we analyze the mathematical production of Chilean students (1617 years old) and conclude that making sense of the change rate starts from a work based on algorithmic processes and an interpretation/experimentation approach to the idea of variation and change emphasizing the role of the artefact, being particular to establish proof and demonstration processes.

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TRABAJO MATEMÁTICO DE ESTUDIANTES DE SECUNDARIA EN TAREAS SOBRE TASA DE VARIACIÓN CON EL USO DE GEOGEBRA

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