Missing and Mis-in Concept Images of Parallelograms: The Case of Tal
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Resumo
In this article, we describe a case study that was conducted within a study aiming to diagnose grade 5 students' concept images of parallelograms. The theoretical framework that we adopted for this study was that of concept definition--concept image as reported by Tall and Vinner ("Educational Studies in Mathematics" 12:151-169, 1981), a theory that is widely used in mathematics education. The occurrences during our interviews with one of the first students that we interviewed led us to identify a need to extend this theory. This manuscript suggests to add two new constructs to the theory of concept definition--concept image: "missing concept images" and "mis-in concept images." "Missing concept image" defines a situation in which an example of a concept is erroneously categorized as a non-example of the concept. "Mis-in concept image" is the somewhat complementary case, in which a non-example of the concept is "mis(takenly) in(cluded) in" the set of examples of the concept and consequently this non-example is erroneously identified as an example of the concept. In this manuscript, we introduce these two constructs. We also describe two possible sources of students' decisions regarding their ways of sorting figures into examples and non-examples of parallelograms that were detected during the interviews. To the best of our knowledge, these sources were not reported in the related literature.
Dados da obra
- Tipo
- Artigo
- Periódico
- International Journal of Science and Mathematics Education
- Ano
- 2022
- Idioma
- en
- Palavras-chave
- Grade 5; Concept Formation; Geometric Concepts; Definitions; Mathematics Education; Elementary School Mathematics; Misconceptions
- Temas
- Geometria
- ISSN
- 1571-0068
- Acesso
- Metadados apenas
- Fontes
- ERIC — Education Resources Information Center
- Na Biblioteca desde
- 01/10/2026 · verificada em 03/10/2026
Como citar
ABNT
TIROSH, Dina; TSAMIR, Pessia. Missing and Mis-in Concept Images of Parallelograms: The Case of Tal. International Journal of Science and Mathematics Education, 2022. Disponível em: http://dx.doi.org/10.1007/s10763-021-10175-0. Acesso em: 5 nov. 2026.
APA
Tirosh, D., & Tsamir, P. (2022). Missing and Mis-in Concept Images of Parallelograms: The Case of Tal. International Journal of Science and Mathematics Education. http://dx.doi.org/10.1007/s10763-021-10175-0
BibTeX
@article{tirosh2022,
author = {Tirosh, Dina and Tsamir, Pessia},
title = {Missing and Mis-in Concept Images of Parallelograms: The Case of Tal},
year = {2022},
journal = {International Journal of Science and Mathematics Education},
url = {http://dx.doi.org/10.1007/s10763-021-10175-0},
language = {en}
}RIS
TY - JOUR AU - Tirosh, Dina AU - Tsamir, Pessia TI - Missing and Mis-in Concept Images of Parallelograms: The Case of Tal PY - 2022 JO - International Journal of Science and Mathematics Education UR - http://dx.doi.org/10.1007/s10763-021-10175-0 LA - en ER -
Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS
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