Mathematical Epistemology and Its Educational Significance from the Views of Peirce's Semiotics

Artigo2025

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Resumo

Analyzing the essence of mathematical knowledge from the perspective of semiotics has become a basic trend in domestic and international mathematical epistemology research in recent years, and has also provided a new perspective for mathematics education research. From the perspective of Peirce's semiotics, the essence of mathematical knowledge is embodied in the dialectical unity of contextualization and decontextualization. Corresponding to mathematical learning, it means that learners grasp the development of both the 'meaning' and the 'existence' of mathematical objects" in the dialectical unity of mathematical contextualization and decontextualization. "Diagrammatical thinking" and "hypostatic abstraction" are the two mathematical thinking modes proposed by Peirce. They are complementary in the process of the generation and development of mathematical knowledge, providing an analytical framework for explaining the essence of mathematical learning.They also provide beneficial enlightenment for the effective development of mathematics teaching under the current "core literacy era" and the cultivation of students' innovative thinking.

Dados da obra

Tipo: Artigo
Periódico: Jiaoshi jiaoyu xuebao, v. 12, n. 6, p. 79-86
Editora: Journal Press of Southwest University
Ano: 2025 (2025-11)
Idioma: zh
Palavras-chave: peircean semiotics; mathematical epistemology; mathematics learning; diagrammatical thinking; hypostatic abstraction
DOI: 10.13718/j.cnki.jsjy.2025.06.010
ISSN: 2095-8129
Acesso: Metadados apenas
Fontes: DOAJ — Directory of Open Access Journals
Na Biblioteca desde: 01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
HONG, XIAO. Mathematical Epistemology and Its Educational Significance from the Views of Peirce's Semiotics. Jiaoshi jiaoyu xuebao, v. 12, n. 6, p. 79-86, 2025. DOI: https://doi.org/10.13718/j.cnki.jsjy.2025.06.010.

APA

Hong, X. (2025). Mathematical Epistemology and Its Educational Significance from the Views of Peirce's Semiotics. Jiaoshi jiaoyu xuebao, 12(6), 79-86. https://doi.org/10.13718/j.cnki.jsjy.2025.06.010

BibTeX

@article{hong2025,
  author = {Hong, XIAO},
  title = {Mathematical Epistemology and Its Educational Significance from the Views of Peirce's Semiotics},
  year = {2025},
  journal = {Jiaoshi jiaoyu xuebao},
  volume = {12},
  number = {6},
  pages = {79-86},
  publisher = {Journal Press of Southwest University},
  doi = {10.13718/j.cnki.jsjy.2025.06.010},
  language = {zh}
}

RIS

TY  - JOUR
AU  - Hong, XIAO
TI  - Mathematical Epistemology and Its Educational Significance from the Views of Peirce's Semiotics
PY  - 2025
JO  - Jiaoshi jiaoyu xuebao
VL  - 12
IS  - 6
SP  - 79
EP  - 86
DO  - 10.13718/j.cnki.jsjy.2025.06.010
LA  - zh
ER  -

Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS