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Mathematical reasoning in linear systems learning: a higher education exploratory teaching experiment with prospective teachers

Artigo2022

Ana Henriques; Martins Márcio

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Resumo

Higher education students show difficulties on concepts in linear systems, due to procedural-dominated teaching practices. This emphasizes the need to develop students’ mathematical reasoning using an exploratory teaching approach to promote learning with understanding. This qualitative and interpretative study analyzes the mathematical reasoning that prospective teachers, attending the degree in mathematics, use in solving research tasks involving linear systems, proposed throughout an exploratory teaching experiment and how this context contribute to their learning. Data collection includes participant observation of the teaching experiment classes, and written work of the proposed tasks. The results show that prospective teachers have evolved positively in their understanding and capacity of mathematical reasoning, and in the linear systems learning. The evidenced advantages of this experiment may contribute to a reflection on this integration to improve educational contexts, including preservice teacher education, to overcome their difficulties in learning and develop their knowledge for teaching.

Dados da obra

Tipo
Artigo
Periódico
Avances de Investigación en Educación Matemática, n. 21
Editora
Sociedad Española de Investigación en Educación Matemática
Ano
2022
Idioma
en
Palavras-chave
Mathematical reasoning; Exploratory teaching; Linear systems equations; Undergraduation in mathematics; Pre-service teacher education
Temas
Álgebra, Formação de Professores de Matemática, Práticas Pedagógicas
DOI
10.35763/aiem21.4238
ISSN
2254-4313
Acesso
Acesso aberto
Fontes
DOAJ — Directory of Open Access Journals
Na Biblioteca desde
01/10/2026 · verificada em 03/10/2026

Como citar

ABNT
HENRIQUES, Ana; MÁRCIO, Martins. Mathematical reasoning in linear systems learning: a higher education exploratory teaching experiment with prospective teachers. Avances de Investigación en Educación Matemática, n. 21, 2022. DOI: https://doi.org/10.35763/aiem21.4238.

APA

Henriques, A., & Márcio, M. (2022). Mathematical reasoning in linear systems learning: a higher education exploratory teaching experiment with prospective teachers. Avances de Investigación en Educación Matemática. https://doi.org/10.35763/aiem21.4238

BibTeX
@article{henriques2022,
  author = {Henriques, Ana and Márcio, Martins},
  title = {Mathematical reasoning in linear systems learning: a higher education exploratory teaching experiment with prospective teachers},
  year = {2022},
  journal = {Avances de Investigación en Educación Matemática},
  number = {21},
  publisher = {Sociedad Española de Investigación en Educación Matemática},
  doi = {10.35763/aiem21.4238},
  language = {en}
}
RIS
TY  - JOUR
AU  - Henriques, Ana
AU  - Márcio, Martins
TI  - Mathematical reasoning in linear systems learning: a higher education exploratory teaching experiment with prospective teachers
PY  - 2022
JO  - Avances de Investigación en Educación Matemática
IS  - 21
DO  - 10.35763/aiem21.4238
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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