Función cuadrática y la coordinación entre sus registros de representación semiótica en estudiantes de Humanidades
Files
Date
2020-10-13
Journal Title
Journal ISSN
Volume Title
Publisher
Pontificia Universidad Católica del Perú
Abstract
El presente estudio tiene como finalidad analizar la coordinación entre Registros de
Representación Semiótica cuando se moviliza la noción de Función Cuadrática en el
desarrollo de una secuencia de actividades con estudiantes de las carreras de Humanidades.
La pesquisa se realizó con estudiantes del primer ciclo de las carreras de Humanidades de
una universidad privada del Perú, cuyas edades fluctúan entre 15 y 17 años. La planteamiento
del problema de estudio se da en base a los antecedentes de investigación que permiten
explorar las dificultades que enfrentan los estudiantes de estudio superior cuando movilizan
la noción Función Cuadrática en relación al abuso de tratamientos numéricos, lo que lleva a
dejar de lado la visualización del objeto matemático en el registro gráfico (variables visuales
que indican características del objeto representado) y su vinculación con su representación
en el registro algebraico (parámetros de la ecuación cuadrática) de la Función Cuadrática.
Para la presente investigación, tomamos la teoría de Registros de Representación Semiótica
desarrollada por Duval (1988) como marco teórico y, como referencial metodológico, tomamos
aspectos de la metodología cualitativa de Fox (1981). Respecto a la fase de experimentación
y análisis, adaptamos una secuencia didáctica desarrollada en la investigación de Rodríguez
(2018) y lo aplicamos en dos momentos, cuyo propósito fue propiciar la visualización, según
Duval, de la representación del objeto matemático en el registro gráfico. Los resultados que
se obtuvieron permitieron evidenciar que, en un mayor porcentaje de las actividades
desarrollados por los estudiantes, se logró establecer la visualización de la Función
Cuadrática en el registro gráfico por medio de la identificación de las variables visuales y la
correspondencia de los valores de estas variables visuales con las unidades significantes de
la representación del objeto matemático en el registro algebraico, por lo que esta
discriminación de las variables visuales y las unidades significantes se realizó mediante un
reconocimiento cualitativo, tal como sugiere Duval (1999), y que mediante este
reconocimiento cualitativo, por medio de la vía de interpretación global (tercera vía de
tratamiento de las representaciones gráficas), se logró definir las variables visuales
pertinentes para la interpretación gráfica.
The present study aims to analyze the coordination between Records of Semiotic Representation when the notion of Quadratic Function is mobilized in the development of a sequence of activities with students of the Humanities careers. The research was carried out with students of the first cycle of the Humanities careers of a private university in Peru, whose ages fluctuate between 15 and 17 years. The statement of the study problem is based on the research background that allows exploring the difficulties faced by higher education students when they mobilize the notion Quadratic Function in relation to the abuse of numerical treatments, which leads to leaving aside the visualization of the object mathematics in the graphic register (visual variables that indicate characteristics of the represented object) and their relationship with its representation in the algebraic register (parameters of the quadratic equation) of the Quadratic Function. For the present research, we take the Semiotic Representation Registers theory developed by Duval (1988) as a theoretical framework and, as a methodological reference, we take aspects of the qualitative methodology of Fox (1981). Regarding the experimentation and analysis phase, we adapted a didactic sequence developed in Rodríguez's research (2018) and applied it in two moments, the purpose of which was to promote the visualization, according to Duval, of the representation of the mathematical object in the graphic register. The results obtained allowed to show that, in a higher percentage of the activities developed by the students, it was possible to establish the visualization of the Quadratic Function in the graphic register by means of the identification of the visual variables and the correspondence of the values of these visual variables with the significant units of the representation of the mathematical object in the algebraic register, so this discrimination of the visual variables and the significant units was carried out through qualitative recognition, as suggested by Duval (1999), and that through this Qualitative recognition, through the way of global interpretation (third way of treatment of graphic representations), it was possible to define the relevant visual variables for graphic interpretation.
The present study aims to analyze the coordination between Records of Semiotic Representation when the notion of Quadratic Function is mobilized in the development of a sequence of activities with students of the Humanities careers. The research was carried out with students of the first cycle of the Humanities careers of a private university in Peru, whose ages fluctuate between 15 and 17 years. The statement of the study problem is based on the research background that allows exploring the difficulties faced by higher education students when they mobilize the notion Quadratic Function in relation to the abuse of numerical treatments, which leads to leaving aside the visualization of the object mathematics in the graphic register (visual variables that indicate characteristics of the represented object) and their relationship with its representation in the algebraic register (parameters of the quadratic equation) of the Quadratic Function. For the present research, we take the Semiotic Representation Registers theory developed by Duval (1988) as a theoretical framework and, as a methodological reference, we take aspects of the qualitative methodology of Fox (1981). Regarding the experimentation and analysis phase, we adapted a didactic sequence developed in Rodríguez's research (2018) and applied it in two moments, the purpose of which was to promote the visualization, according to Duval, of the representation of the mathematical object in the graphic register. The results obtained allowed to show that, in a higher percentage of the activities developed by the students, it was possible to establish the visualization of the Quadratic Function in the graphic register by means of the identification of the visual variables and the correspondence of the values of these visual variables with the significant units of the representation of the mathematical object in the algebraic register, so this discrimination of the visual variables and the significant units was carried out through qualitative recognition, as suggested by Duval (1999), and that through this Qualitative recognition, through the way of global interpretation (third way of treatment of graphic representations), it was possible to define the relevant visual variables for graphic interpretation.
Description
Keywords
Matemáticas--Estudio y enseñanza (Superior), Álgebra--Estudio y enseñanza (Superior), Aprendizaje (Educación)--Metodología
Citation
Collections
Endorsement
Review
Supplemented By
Referenced By
Creative Commons license
Except where otherwised noted, this item's license is described as info:eu-repo/semantics/openAccess