Definitional ambiguity: a case of continuous function
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http://hdl.handle.net/10045/126617
Título: | Definitional ambiguity: a case of continuous function |
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Autor/es: | Kercher, Andrew | Bergman, Anna Marie | Zazkis, Rina |
Palabras clave: | Mathematics education | Mathematics teaching |
Fecha de publicación: | 2022 |
Editor: | PME | Universidad de Alicante |
Cita bibliográfica: | Kercher, Andrew; Bergman, Anna Marie; Zazkis, Rina. “Definitional ambiguity: a case of continuous function”. In: Fernández, Ceneida, et al. (Eds.). Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education: Alicante, Spain, 18-23 of July of 2022. Alicante: PME, 2022. Vol. 3. ISBN 978-84-1302-177-5, pp. 27-34 |
Resumen: | Definitions are an integral aspect of mathematics. In particular, they form the backbone of deductive reasoning and facilitate precision in mathematical communication. However, when an agreed-upon definition is not established, its ability to serve these purposes can be called into question. While ambiguity can be productive, the existence of multiple non-equivalent definitions for the same term can make the truth value of certain mathematical statements unclear. In this study, we asked mathematics educators to determine the truth of a definitionally ambiguous mathematical claim. Based on their responses, we identified several factors that influenced the teachers’ choice of definitions. Finally, we consider the pedagogical implications of employing such a task in teacher preparation programs. |
URI: | http://hdl.handle.net/10045/126617 |
ISBN: | 978-84-1302-177-5 |
ISSN: | 0771-100X |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/conferenceObject |
Derechos: | © 2022 left to authors |
Revisión científica: | si |
Versión del editor: | https://web.ua.es/pme45/ |
Aparece en las colecciones: | PME 45 - Proceedings - Vol. 3 |
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proceedings-pme-45-vol3-04.pdf | 254,35 kB | Adobe PDF | Abrir Vista previa | |
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