La influencia del conocimiento de los números naturales en la comprensión de los números racionales

  1. J.M. González-Forte 1
  2. C. Fernández 1
  3. S. Llinares 1
  1. 1 Universitat d'Alacant
    info

    Universitat d'Alacant

    Alicante, España

    ROR https://ror.org/05t8bcz72

Book:
Investigación en Educación Matemática XXII
  1. Luis J. Rodríguez-Muñiz (coord.)
  2. Laura Muñiz-Rodríguez (coord.)
  3. Álvaro Aguilar-González (coord.)
  4. Pedro Alonso (coord.)
  5. Francisco Javier García García (coord.)
  6. Alicia Bruno (coord.)

Publisher: Servicio de Publicaciones ; Universidad de Oviedo

ISBN: 978-84-17445-11-9

Year of publication: 2018

Pages: 241-250

Congress: Sociedad Española de Investigación en Educación Matemática. Simposio (22. 2018. Gijón)

Type: Conference paper

Abstract

Rational numbers is one of the most difficult mathematical content to understand for primary and secondary school students, since they often apply the properties of natural numbers when working with rational numbers when it is not appropriate (Natural Number Bias phenomenon). Our research aims to examine the evolution of this phenomenon in the Spanish context from primary to secondary school. 438 students from 5th grade to 10th grade answered a test with items about rational number comparison, arithmetic operations with rationales and density. The levels of success and students’ reasoning indicate that the Natural Number Bias phenomenon influences students’ responses and, although it decreases along grades, it persists at the end of the secondary education in some of the items.