Title

Eliciting the Coordination of Preservice Secondary Mathematics Teachers’ Concept Images and Definitions of Function

Publication Date

10-7-2020

Description

Given the vast experiences pre-service mathematics teachers (PSMTs) have with functions, one may assume that they have existing personal definitions and concept images. The purpose of this paper is to build an understanding of the variety of images that one might associate with a definition of function that includes ‘for each input there is one output’ and how these images are coordinated with the definition to determine whether an object is a function or not. Two cases are presented to describe PSMTs who were working from the same personal definition of function, yet used that definition differently within a task designed around the function concept. The task itself was novel in that it is presented in a non-algebraic context, namely a vending machine. As such, PSMTs were required to coordinate their personal definition and images within the novel context. Attending to PSMTs’ concept images revealed that though they were working from the same personal definition, images they drew upon to determine whether or not an object is a function were varied.

Journal

Journal of Mathematical Education in Science and Technology

First Page

1

Last Page

26

Department

Mathematics

DOI

https://doi.org/10.1080/0020739X.2020.1821107

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