Indonesian Journal of Mathematics Education
Vol. 6 No. 1 (2023): Indonesian Journal of Mathematics Education

Exploring a Mathematics Teacher’s Conceptions of Infinity: The Case of Louise

Irving Aaron Diaz-Espinoza (Benemerita Universidad Autonoma de Puebla)
José Antonio Juárez-López (Benemérita Universidad Autónoma de Puebla)
Estela Juárez-Ruiz (Benemérita Universidad Autónoma de Puebla)



Article Info

Publish Date
30 Apr 2023

Abstract

Several papers studied infinity from the difficulties that students and teachers show in developing the concept. For this study, it was considered the analysis of the equality 0.999 … = 1. Mainly, this research aims to show that a mathematics teacher presents erroneous conceptions just like a student; that is, both students and teachers have the same difficulties in the concept of infinity. To this aim, a semi-structured interview was conducted with an in-service mathematics teacher in Tlaxcala, Mexico. The purpose of this research is to exhibit a high school math teacher’s misconceptions about the concept of infinity. In general, misconceptions found here can be divided into four groups: without a clear picture of the concept of infinity, an infinite periodic decimal number cannot be a representation of a finite number, a decreasing infinite sum cannot lead to a finite number and an infinite process is limited in real life is finite and has ended. The results obtained were compared with those already available in references about the difficulties with students and teachers, finding that the results shown here are like those reported in the literature. This highlights the need to overcome the teacher’s conceptions of infinity in future research.

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Journal Info

Abbrev

ijome

Publisher

Subject

Mathematics

Description

Indonesian Journal of Mathematics Education is a scientific journal which publishes the research issues on mathematics and mathematics education, could be experiments, research and development, survey, etc. This journal is published twice a year in April and ...