Historical Overview of Studies on Generalisation in Mathematics Education

Artigo2021

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Resumo

Purpose: The aim of this paper is to provide a historical overview of studies on generalisation in mathematics education for future research. Because, generalisation is one of the most important mathematical thinking processes and the essence of mathematics. Thus, there are many studies related with generalisation. Method: This study is survey article. Our hypothetical theoretical framework is "whose generalisation becomes the object of each study" and "where is the position of the researcher and his/her object(s) of analysis (that is, someone who is generalising)". Findings: Considering this framework, we propose the following four periods: "human generalisation in mathematics," "human generalisation in mathematics education," "students' generalisation in mathematics education," and "learners' generalisation in education and/or interdisciplinarity." Significance: There are various studies that is related with generalisation in discipline of mathematics education. To regard with its long history and tradition, sometimes it makes our perplexity when we want to investigate students' generalisation; because, their methodology, background theory, focus and so on are very different from each other.

Dados da obra

Tipo: Artigo
Periódico: Journal of Science and Mathematics Education in Southeast Asia
Ano: 2021
Idioma: en
Palavras-chave: Mathematics Education; Educational History; Generalization; Interdisciplinary Approach; Thinking Skills; Futures (of Society)
ISSN: 0126-7663
Acesso: Metadados apenas
Fontes: ERIC — Education Resources Information Center
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
HAYATA, Toru. Historical Overview of Studies on Generalisation in Mathematics Education. Journal of Science and Mathematics Education in Southeast Asia, 2021. Disponível em: http://www.recsam.edu.my/sub_JSMESEA/. Acesso em: 5 nov. 2026.

APA

Hayata, T. (2021). Historical Overview of Studies on Generalisation in Mathematics Education. Journal of Science and Mathematics Education in Southeast Asia. http://www.recsam.edu.my/sub_JSMESEA/

BibTeX

@article{hayata2021,
  author = {Hayata, Toru},
  title = {Historical Overview of Studies on Generalisation in Mathematics Education},
  year = {2021},
  journal = {Journal of Science and Mathematics Education in Southeast Asia},
  url = {http://www.recsam.edu.my/sub_JSMESEA/},
  language = {en}
}

RIS

TY  - JOUR
AU  - Hayata, Toru
TI  - Historical Overview of Studies on Generalisation in Mathematics Education
PY  - 2021
JO  - Journal of Science and Mathematics Education in Southeast Asia
UR  - http://www.recsam.edu.my/sub_JSMESEA/
LA  - en
ER  -

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