Eliciting the Coordination of Preservice Secondary Mathematics Teachers' Definitions and Concept Images of Function
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| Title: | Eliciting the Coordination of Preservice Secondary Mathematics Teachers' Definitions and Concept Images of Function |
|---|---|
| Language: | English |
| Authors: | McCulloch, Allison W., Lovett, Jennifer N., Dick, Lara, Sherman, Milan, Edgington, Cyndi, Meagher, Michael |
| Source: | International Journal of Mathematical Education in Science and Technology. 2022 53(6):1387-1412. |
| Availability: | Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals |
| Peer Reviewed: | Y |
| Page Count: | 26 |
| Publication Date: | 2022 |
| Sponsoring Agency: | National Science Foundation (NSF), Division of Undergraduate Education (DUE) |
| Contract Number: | DUE1820998 DUE1821054 |
| Document Type: | Journal Articles Reports - Research |
| Education Level: | Higher Education Postsecondary Education Secondary Education |
| Descriptors: | Preservice Teachers, Secondary School Teachers, Definitions, Mathematics Teachers, Mathematics, Mathematical Concepts, Concept Formation, Knowledge Level, Teacher Competencies, Equipment, Retailing |
| DOI: | 10.1080/0020739X.2020.1821107 |
| ISSN: | 0020-739X 1464-5211 |
| Abstract: | 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. |
| Abstractor: | As Provided |
| Entry Date: | 2022 |
| Accession Number: | EJ1350694 |
| Database: | ERIC |
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