What Makes an Analogy Effective for Students' Learning of Mathematics? Conceptualising Analogy Effectiveness for Teaching Mathematics

Artigo2026

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Resumo

Analogies are commonly used in mathematics teaching as a means to promote understanding of new potentially abstract concepts, by linking them to well-understood contexts. Despite strong intuition that analogies are helpful in supporting students' learning of mathematics, there is a lack of agreement on how to objectively judge the utility or conceptual affordances of these analogies. In this paper, we aim to conceptualise how to assess the effectiveness of an analogy by employing Gentner's structure-mapping theory to analogies and explore two teacher-made analogies (the 'child-mother' and the 'machine') for learning the formal definition of a function as illustrative examples. By applying the criteria for effective analogies, we are able to evaluate the effectiveness of the analogies in terms of both their affordances and constraints, thereby providing a structured approach to articulate the source specificity, clarity, scope, and appropriateness of an analogy.

Dados da obra

Tipo: Artigo
Periódico: Canadian Journal of Science
Ano: 2026
Idioma: en
Palavras-chave: Mathematics Instruction; Teaching Methods; Instructional Effectiveness; Logical Thinking; Mathematical Concepts; Definitions; Cognitive Structures; Learning Theories
ISSN: 1492-6156
Acesso: Metadados apenas
Fontes: ERIC — Education Resources Information Center
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
HATISARU, Vesife; RICHARDSON, Steven. What Makes an Analogy Effective for Students' Learning of Mathematics? Conceptualising Analogy Effectiveness for Teaching Mathematics. Canadian Journal of Science, 2026. Disponível em: http://dx.doi.org/10.1007/s42330-026-00502-4. Acesso em: 5 nov. 2026.

APA

Hatisaru, V., & Richardson, S. (2026). What Makes an Analogy Effective for Students' Learning of Mathematics? Conceptualising Analogy Effectiveness for Teaching Mathematics. Canadian Journal of Science. http://dx.doi.org/10.1007/s42330-026-00502-4

BibTeX

@article{hatisaru2026,
  author = {Hatisaru, Vesife and Richardson, Steven},
  title = {What Makes an Analogy Effective for Students' Learning of Mathematics? Conceptualising Analogy Effectiveness for Teaching Mathematics},
  year = {2026},
  journal = {Canadian Journal of Science},
  url = {http://dx.doi.org/10.1007/s42330-026-00502-4},
  language = {en}
}

RIS

TY  - JOUR
AU  - Hatisaru, Vesife
AU  - Richardson, Steven
TI  - What Makes an Analogy Effective for Students' Learning of Mathematics? Conceptualising Analogy Effectiveness for Teaching Mathematics
PY  - 2026
JO  - Canadian Journal of Science
UR  - http://dx.doi.org/10.1007/s42330-026-00502-4
LA  - en
ER  -

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