Author: MARTHA IRIS RIVERA LOPEZ

Preconcepciones de pendiente en estudiantes de bachillerato.

MARTHA IRIS RIVERA LOPEZ (2019)

En el presente documento se reporta una investigación que indaga sobre las preconcepciones de pendiente de estudiantes de bachillerato de primer año (Grado 10). Se trata de un estudio de corte cualitativo en el que participaron 30 estudiantes que no han cursado la asignatura de Matemáticas III, correspondiente a estudiar Geometría Analítica. Para la recolección de datos se empleó la metodología Entrevista Basada en Tareas y el método de Análisis Temático para su respectivo análisis. La entrevista se integró por 13 tareas que involucran diferentes representaciones de la pendiente ya reportadas por algunos investigadores (Dolores, Alarcón y Albarrán, 2002; Moore-Russo, Conner y Rugg, 2011; Stump, 1999, 2001a).

Agradezco al Consejo Nacional de Ciencia y Tecnología (CONACYT) por el apoyo financiero para la realización de mis estudios del Doctorado con número de registro: 378559

Doctoral thesis

HUMANIDADES Y CIENCIAS DE LA CONDUCTA PEDAGOGÍA

Exploring mathematical connections of preuniversity students through tasks involving rates of change

CRISOLOGO DOLORES FLORES MARTHA IRIS RIVERA LOPEZ JAVIER GARCIA GARCIA (2019)

This paper reports the results of a research exploring the mathematical connections of pre-university students while they solving tasks which involving rates of change. We assume mathematical connections as a cognitive process through which a person finds real relationships between two or more ideas, concepts, definitions, theorems, procedures, representations or meanings or with other disciplines or the real-world. Four tasks were proposed to the 33 pre-university students that participated in this research; the central concept of the first task is the slope, the last three tasks contain conceptslikevelocity,speedandacceleration.Task-basedinterviews were conducted to collect data and later analysed with thematic analysis. Results showed most of the students made mathematical connections of the procedural type, the mathematical connections ofthecommonfeaturestypearemadeinsmallerquantitiesandthe mathematicalconnectionofthegeneralizationtypeisscarcelymade. Furthermore, students considered slope as a concept disconnected fromvelocity,speedandacceleration.

Article

Mathematical connections rate of change velocity speed acceleration HUMANIDADES Y CIENCIAS DE LA CONDUCTA PEDAGOGÍA OTRAS ESPECIALIDADES PEDAGÓGICAS