Resoluciones de profesores de matemáticas de secundaria en formación a un problema de final abierto

  1. de-Armas-González, P 1
  2. Perdomo-Díaz, J. 1
  3. Sosa-Martín, D. 1
  1. 1 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

Book:
Investigación en Educación Matemática XXV
  1. Teresa F. Blanco (coord.)
  2. Cristina Núñez-García (coord.)
  3. María C. Cañadas (coord.)
  4. José Antonio González-Calero (coord.)

Publisher: Sociedad Española de Investigación en Educación Matemática, SEIEM

ISBN: 978-84-09-45038-1

Year of publication: 2022

Pages: 229-237

Congress: Sociedad Española de Investigación en Educación Matemática. Simposio (25. 2022. Santiago de Compostela)

Type: Conference paper

Abstract

This paper presents a study on the solutions of future Mathematics teachers to an open-ended problem. They had to find lines with two intersection points to a given parabola. The analysis focuses on two aspects of the resolutions. On the one hand, the strategy chosen: if they tried to find general conditions for all the possible solution lines or if, on the contrary, they tried to find solutions of particular lines. On the other hand, we analysed if they used the graphical representation of the parabola or if they only included algebraic representations. The main results show that most of the participants obtain particular solutions, and, for this, they rely on the graphic representation of the parabola. They also show that they present difficulties in finding a general expression for the lines that are solutions of the problem.