Norwegian Mathematics Teacher Educators' and Research Mathematicians' Views on Different Aspects of Mathematical Definitions: A Comparative Judgement Study
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Resumo
In this article we investigate the extent to which characteristics used to describe mathematical definitions in mathematics education research literature reflect what is important to research mathematicians and mathematics teacher educators. We report results from a comparative judgement survey of 57 research mathematicians and 62 mathematics teacher educators. Our results indicate that the two groups are mostly in agreement about the rankings, however, there are some differences. Research mathematicians rank most highly characteristics related to non-ambiguity and non-contradiction, while mathematics teacher educators rank characteristics related to comprehension and referential clarity as highly as characteristics related to non-ambiguity and non-contradiction. Neither group ranked minimality highly, even though this is the characteristic most often listed in the mathematics education research literature. Our study contributes towards a more consistent characterization of mathematical definitions in mathematics education research.
Dados da obra
- Tipo
- Artigo
- Periódico
- International Journal of Science and Mathematics Education
- Ano
- 2025
- Idioma
- en
- Palavras-chave
- Foreign Countries; Mathematics Education; Mathematics Teachers; Teacher Educators; Teacher Researchers; Teacher Attitudes; Mathematical Concepts; Definitions; Educational Research; Ambiguity (Semantics); Mathematical Logic; Comprehension
- 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
TORKILDSEN, Hermund André et al.. Norwegian Mathematics Teacher Educators' and Research Mathematicians' Views on Different Aspects of Mathematical Definitions: A Comparative Judgement Study. International Journal of Science and Mathematics Education, 2025. Disponível em: http://dx.doi.org/10.1007/s10763-024-10534-7. Acesso em: 5 nov. 2026.
APA
Torkildsen, H. A., Forbregd, T. A., Reid, D. A., & Kanwal, S. (2025). Norwegian Mathematics Teacher Educators' and Research Mathematicians' Views on Different Aspects of Mathematical Definitions: A Comparative Judgement Study. International Journal of Science and Mathematics Education. http://dx.doi.org/10.1007/s10763-024-10534-7
BibTeX
@article{torkildsen2025,
author = {Torkildsen, Hermund André and Forbregd, Tore A. and Reid, David A. and Kanwal, Shaista},
title = {Norwegian Mathematics Teacher Educators' and Research Mathematicians' Views on Different Aspects of Mathematical Definitions: A Comparative Judgement Study},
year = {2025},
journal = {International Journal of Science and Mathematics Education},
url = {http://dx.doi.org/10.1007/s10763-024-10534-7},
language = {en}
}RIS
TY - JOUR AU - Torkildsen, Hermund André AU - Forbregd, Tore A. AU - Reid, David A. AU - Kanwal, Shaista TI - Norwegian Mathematics Teacher Educators' and Research Mathematicians' Views on Different Aspects of Mathematical Definitions: A Comparative Judgement Study PY - 2025 JO - International Journal of Science and Mathematics Education UR - http://dx.doi.org/10.1007/s10763-024-10534-7 LA - en ER -
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