Levels of geometric thinking: in search of a relationship between different theoretical models

Authors

DOI:

https://doi.org/10.37001/ripem.v12i4.3228

Keywords:

Geometric Thinking, Level Models, Relationship, Epistemological Bases

Abstract

Carrying out the characterization of geometric thinking is not a simple task, since there is no consensus in the literature about the attributes that make up this way of thinking. This can be seen from the existence of different theoretical models. Such models were elaborated considering all the complexity of the educational reality in which they were inserted. Even under these conditions, some of these theoretical models may have implications, especially with regard to their epistemological bases. Therefore, in this essay, we understand the relationships established between different models of development levels of geometric thinking. This debate is necessary for teachers who teach Mathematics to have a more peaceful and coherent choice of the model that is closest to their school reality.

Downloads

Download data is not yet available.

References

Bahia. (2020). Secretaria da Educação do Estado da Bahia. Documento Curricular Referencial da Bahia para educação infantil e ensino fundamental. Rio de Janeiro: FGV Editora.

Brasil. (2018). Ministério da Educação. Secretaria de Educação Básica. Base Nacional Comum Curricular. Brasília: MEC/SEB.

Campos, M. B. (2017). Aprendizagem em geometria na educação básica: a fotografia e a escrita na sala de aula. Revista de Educação da Universidade Federal do Vale do São Francisco, 7(12), 188-193.

Chicote, R. S. & Deixa, G. V. (2020). Geometric Thinking of Future Mathematics Teachers in Mozambique: a case study from Rovuma University. Tangram, 3(1), 62-73.

Garrido, Y. P. (2005). La estimulación del pensamiento en los escolares. Educación Cubana, 1(25), 1-32.

Gutiérrez, A.; Jaime, A.; & Fortuny, J. F. (1991). An alternative paradigm to evaluate the acquisition of the Van Hiele levels. Journal for Research in Mathematics Education, 22(3), 237-251.

Hendriyanto, A.; Kusmayadi, T. A.; & Fitriana, L. (2021). Geometric Thinking Ability for Prospective Mathematics Teachers in Solving Ethnomathematics Problem. Journal of Physics, 18(8), 20-40.

Marchand, P. (2009). Le développement du sens spatial au primaire. Bulletin Association Mathématique du Québec, 49(3), 63-79.

Parzysz, B. (2006). La géométrie dans l’enseignement secondaire et en formation de professeurs des écoles: de quoi s’agit-il? Quaderni di Ricerca in Didattica, 17(1), p.128-151.

Pereira da Costa, A. (2019). A construção de um modelo de níveis de desenvolvimento do pensamento geométrico: o caso dos quadriláteros notáveis. Tese (Doutorado em Educação Matemática e Tecnológica). Universidade Federal de Pernambuco. Recife, PE.

Pernambuco. (2019). Secretaria de Educação e Esportes. Currículo de Pernambuco: Ensino Fundamental — área de Matemática. Recife, PE: SEE.

Santos, A. O. & Oliveira, G. S. (2018). A prática pedagógica em geometria nos primeiros anos do ensino fundamental: construindo significados. Revista Valore, Volta Redonda, v. 3, n.1, p. 388-407.

Silva, C. V. (2015). A prática docente e sua influência na construção de conceitos geométricos: um estudo sobre o ensino e a aprendizagem da simetria ortogonal. Tese (Doutorado em Educação Matemática) – Pontifícia Universidade Católica de São Paulo. São Paulo.

Ursulasari, Y.; Susanto; Sunardi & Nahrowi (2019). Correlation of Students’ Reading Comprehension and Geometry Thinking Levels. International Journal of Scientific Research and Management, 7(5), p. 992-998.

Van-Hiele, P. M. (1957). De problematiek van het inzicht gedemonstreerd aan het inzicht van schoolkinderen in meetkunde-leerstof. Scriptie (Doctoraat in Wiskunde en Natuurwetenschapp). Universiteit Utrecht. Utrecht, Nederland.

Published

2022-10-07

How to Cite

PEREIRA DA COSTA, A. . Levels of geometric thinking: in search of a relationship between different theoretical models. International Journal for Research in Mathematics Education, v. 12, n. 4, p. 1-19, 7 Oct. 2022.