The goal of this paper is to present a case study in which a high school teacher with PhD in Mathematics was asked to answer a questionnaire concerning the teaching and learning of real numbers and then he was interviewed in order to investigate the interplay between his resources, goals and orientations in the decision-making process. As a main result, I show how some orientations concerning the epistemology of real numbers, the goals of mathematics education in the high school and the students’ conceptions and difficulties lead him to choose a very intuitive approach to the teaching of real numbers and to leave aside all his expertise as a mathematician.

High school teachers' choices concerning the teaching of real numbers: A case study / L. Branchetti - In: Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education / [a cura di] T. Dooley, G. Gueudet. - [s.l] : Dublin city Univ Glasnevin campus, 2017. - ISBN 9781873769737. - pp. 2009-2016 (( Intervento presentato al 10. convegno Congress of the European-Society-for-Research-in-Mathematics-Education (CERME) tenutosi a Dublin nel 2017.

High school teachers' choices concerning the teaching of real numbers: A case study

L. Branchetti
2017

Abstract

The goal of this paper is to present a case study in which a high school teacher with PhD in Mathematics was asked to answer a questionnaire concerning the teaching and learning of real numbers and then he was interviewed in order to investigate the interplay between his resources, goals and orientations in the decision-making process. As a main result, I show how some orientations concerning the epistemology of real numbers, the goals of mathematics education in the high school and the students’ conceptions and difficulties lead him to choose a very intuitive approach to the teaching of real numbers and to leave aside all his expertise as a mathematician.
Real numbers; teaching; high school; teachers; tertiary education
Settore MAT/04 - Matematiche Complementari
https://hal.archives-ouvertes.fr/CERME10-TWG14/hal-01941650v1
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/851853
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