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Mathematics education as theoretical knowledge

Artigo2024

Victor Firsov

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Resumo

Didactics of mathematics (DM) is the theoretical part of our knowledge in mathe- matics education. Its connections with the mathematical sciences and with school mathematics determine the independent character of DM as a scientific discipline. Features of school mathematics such as its unique aims, the highly abstract nature and hierarchical construction of the material to be studied, and the varied kinds of educational activities lead to its specific character, situating it among the school subjects and making accepted theoretical conclusions exclusively applicable to mathematics education. The social character of DM generates the approaches to constructing categories within the discipline (inexact and "inaccurate" conceptions, exclusion principles in formulating absolute statements, plausible reasoning, diversity of proofs) and promotes the selection of adequate methods of research that are not typical of positivistic science (expert review, discussion, pedagogical experiment). The applied character of DM determines an appropriate methodology of research and efficient ways of overcoming contradictions. The concrete practice of education (partly in the form of experimental tests) gives teachers an opportunity to use "inaccurate" empirical methods, reasonable considerations, intuitive choice, and so forth. Some practical advice is given for discussing and conducting research projects.

Dados da obra

Tipo
Artigo
Periódico
NOMAD Nordic Studies in Mathematics Education, v. 3, n. 4
Ano
2024 (2024-11-19)
Idioma
en
Palavras-chave
mathematics education; theoretical knowledge; school mathematics; educational activities; plausible reasoning; exclusion principle; pedagogical experiment; expert review; research project design
Temas
Didática da Matemática
DOI
10.7146/nomad.v3i4.146187
ISSN
1104-2176, 2002-4061
Licença
cc-by-nc-sa
Acesso
Acesso aberto
Fontes
OpenAlex
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
FIRSOV, Victor. Mathematics education as theoretical knowledge. NOMAD Nordic Studies in Mathematics Education, v. 3, n. 4, 2024. DOI: https://doi.org/10.7146/nomad.v3i4.146187.

APA

Firsov, V. (2024). Mathematics education as theoretical knowledge. NOMAD Nordic Studies in Mathematics Education, 3(4). https://doi.org/10.7146/nomad.v3i4.146187

BibTeX
@article{firsov2024,
  author = {Firsov, Victor},
  title = {Mathematics education as theoretical knowledge},
  year = {2024},
  journal = {NOMAD Nordic Studies in Mathematics Education},
  volume = {3},
  number = {4},
  doi = {10.7146/nomad.v3i4.146187},
  language = {en}
}
RIS
TY  - JOUR
AU  - Firsov, Victor
TI  - Mathematics education as theoretical knowledge
PY  - 2024
JO  - NOMAD Nordic Studies in Mathematics Education
VL  - 3
IS  - 4
DO  - 10.7146/nomad.v3i4.146187
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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