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Researches about curves sketching on the perspective of global interpretation of figural units focusing on high school

Pasa, Bárbara Cristina; Moretti, Méricles Thadeu (2020). Researches about curves sketching on the perspective of global interpretation of figural units focusing on high school. Acta Scientiae. Revista de Ensino de Ciências e Matemática, 22(1), pp. 61-87 .

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Resumen

A teaching approach based on the global interpretation of figurative properties prioritizes the curve sketching and understanding from the conversions among algebraic, graphical and linguistic registers, more precisely the identification of basic units (graphical, symbolic and linguistic) and the verification of how they related with each other. Raymond Duval presents this approach in an outline work of a related linear function using a resource for the global interpretation of the parameters of the algebraic expression: y = ax + b, emphasizing the relationship between these parameters and the graphical visual variables: inclination direction, tracing angles with the axes, and tracing position relatively to the vertical axis origin. Other authors have proposed works under this perspective with a focus on High School. Among them: Moretti (2003), for the quadratic function; Silva (2008), for the exponential, logarithmic and trigonometric functions; Menoncini & Moretti (2017), for the modular function; Martins (2017), for curves whose expressions are in parametric form; Moretti, Ferraz & Ferreira (2008), for more complex functions of college teaching; and Pasa (2017), for polynomial functions of the second and third degree. In this article, we present these works, complementing Pasa & Moretti (2016), presenting the resources used in each of them that allow changing verifications which the graph changes generates in the algebraic expression and vice versa and the identification of the visual variables and units related to the modifications.

Tipo de Registro:Artículo
Términos clave:13. Matemáticas escolares > Álgebra > Ecuaciones
07. Enseñanza > Planificación del profesor > Metodología de enseñanza > Metodología de trabajo en el aula
07. Enseñanza > Planificación del profesor > Metodología de enseñanza > Análisis y reflexión sobre la enseñanza
12. Investigación e innovación en Educación Matemática > Metodologías > Métodos estadísticos
10. Otras nociones de Educación Matemática > Sistemas de representación > Simbólico
Nivel Educativo:Educación Secundaria Básica (13-16 años)
Código ID:28610
Depositado Por:Monitor Funes 2
Depositado En:14 Jun 2022 15:53
Fecha de Modificación Más Reciente:14 Jun 2022 15:53
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