Collective and Individual Mathematical Progress: Layering Explanations in the Case of the Sierpinski Triangle
0 visualizações desta ficha 0 acessos ao texto completo Contagem real do Portal desde 25/09/2026; tráfego comum, sem testes; quem desativa o rastreamento no navegador não é contado.
Texto completo não localizado nas fontes consultadas. O registro é mantido pela pertinência.
Resumo
This paper presents methodology aimed at developing a rich understanding of the interplay of mathematical progress in the different social settings in which learning in inquiry-oriented classrooms occurs: individually; in small groups; and as a whole class. For this purpose, we enhance a theoretical-methodological approach of coordinating Documenting Collective Activity and the Recognizing-Building-Constructing model of Abstraction in Context that have been developed in earlier studies. We do this using an intact lesson on the area and perimeter of the Sierpinski triangle in a mathematics education master's level course on Chaos and Fractals. The enhancement of the methodology allows integrating Collective and Individual Mathematical Progress (CIMP) by Layering the Explanations (LE) provided by the two approaches, and thus exhibits the complexity of learning processes in inquiry-oriented classrooms.
Dados da obra
- Tipo
- Artigo
- Periódico
- International Journal of Research in Undergraduate Mathematics Education
- Ano
- 2023
- Idioma
- en
- Palavras-chave
- Mathematics Achievement; Inquiry; Active Learning; Geometric Concepts; Mathematics Education; Masters Programs; Learning Processes
- Temas
- Geometria
- ISSN
- 2198-9745
- Acesso
- Metadados apenas
- Fontes
- ERIC — Education Resources Information Center
- Na Biblioteca desde
- 01/10/2026 · verificada em 03/10/2026
Como citar
ABNT
DREYFUS, Tommy et al.. Collective and Individual Mathematical Progress: Layering Explanations in the Case of the Sierpinski Triangle. International Journal of Research in Undergraduate Mathematics Education, 2023. Disponível em: http://dx.doi.org/10.1007/s40753-022-00211-x. Acesso em: 5 nov. 2026.
APA
Dreyfus, T., Apkarian, N., Rasmussen, C., & Tabach, M. (2023). Collective and Individual Mathematical Progress: Layering Explanations in the Case of the Sierpinski Triangle. International Journal of Research in Undergraduate Mathematics Education. http://dx.doi.org/10.1007/s40753-022-00211-x
BibTeX
@article{dreyfus2023,
author = {Dreyfus, Tommy and Apkarian, Naneh and Rasmussen, Chris and Tabach, Michal},
title = {Collective and Individual Mathematical Progress: Layering Explanations in the Case of the Sierpinski Triangle},
year = {2023},
journal = {International Journal of Research in Undergraduate Mathematics Education},
url = {http://dx.doi.org/10.1007/s40753-022-00211-x},
language = {en}
}RIS
TY - JOUR AU - Dreyfus, Tommy AU - Apkarian, Naneh AU - Rasmussen, Chris AU - Tabach, Michal TI - Collective and Individual Mathematical Progress: Layering Explanations in the Case of the Sierpinski Triangle PY - 2023 JO - International Journal of Research in Undergraduate Mathematics Education UR - http://dx.doi.org/10.1007/s40753-022-00211-x LA - en ER -
Referência gerada automaticamente a partir dos metadados das fontes; confira com o documento original. Baixar BibTeX · Baixar RIS
Obras relacionadas
Obras do acervo corrente com mais temas em comum.
-
Ethnomathematics Exploration of West Tulang Bawang Tikew Woven
Kognitif: Jurnal Riset HOTS Pendidikan Matematika, v. 6, n. 1 · DOI 10.51574/kognitif.v6i1.3981
-
Contribuições da engenharia didática de formação para o ensino de geometria espacial
Contexto & Educação, v. 41, n. 123 · DOI 10.21527/2179-1309.2026.123.16726
-
ETHNOMATHEMATICAL E-COMIC: ENHANCING STUDENTS’ SELF-EFFICACY AND DIVERGENT THINKING
Jurnal Eduscience, v. 13, n. 1 · DOI 10.36987/jes.v13i1.8302
-
MEDIACIÓN PEDAGÓGICA DE LAS TIC COMO ARGUMENTO PARA LA ENSEÑANZA DE LA MATEMÁTICA EN COLOMBIA
LÍNEA IMAGINARIA, v. 23, n. 2 · DOI 10.56219/lneaimaginaria.v23i2.5133
-
Improving the Process of Understanding the Representation of Spatial Shapes Through the Problem-Based Learning Model Assisted by Ethnomathematics in Junior High School Students
Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram, v. 14, n. 3 · DOI 10.33394/j-ps.v14i3.20774