Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories
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Benilda María Cantillo-Rudas 1 , Camilo Andrés Rodríguez-Nieto 2 , Vicenç Font Moll 3 , Flor Monserrat Rodríguez-Vásquez 4 *
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1 Universidad de Panamá, Panamá, PANAMÁ2 Universidad de la Costa, Barranquilla, COLOMBIA3 Universitat de Barcelona, Barcelona, SPAIN4 Universidad Autónoma de Guerrero, Chilpancingo, MEXICO* Corresponding Author
Abstract
The research goal is twofold: to articulate neuro-mathematics with the extended theory of mathematical connections that uses onto-semiotic approach tools and to explore the connections established by a teacher and his student when solving a problem about the volume of two boxes, one of toothpaste and the other of tomato. This research was developed in two stages: the theories were articulated assuming concordances and complementarities, highlighting the notion of connection, and a context of reflection was considered carried out in three phases where the participants were selected, participant observation was carried out in the classroom during solving a problem and then analyzing the data with the new tool to explore mathematical and neuro-mathematical connections. The findings present the mathematical connections established by the teacher and the student of meaning, feature, procedural, different representations (alternate, equivalent, and from a horizontal mathematization view), and part-whole, as well as neuro-mathematical connections of: recognition of terms and symbols; visual perception, spatial skills and motor coordination; association of mathematical concepts and formulas; intermediate calculations and unit conversion; solve operations step by step and understand the process; verification and conclusion, activated in the brain areas linked to each mathematical practice sequentially.
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Article Type: Research Article
EURASIA J Math Sci Tech Ed, Volume 20, Issue 10, October 2024, Article No: em2522
https://doi.org/10.29333/ejmste/15470
Publication date: 15 Oct 2024
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Article Downloads: 14
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How to cite this article
APA
Cantillo-Rudas, B. M., Rodríguez-Nieto, C. A., Font Moll, V., & Rodríguez-Vásquez, F. M. (2024). Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories. Eurasia Journal of Mathematics, Science and Technology Education, 20(10), em2522. https://doi.org/10.29333/ejmste/15470
Vancouver
Cantillo-Rudas BM, Rodríguez-Nieto CA, Font Moll V, Rodríguez-Vásquez FM. Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories. EURASIA J Math Sci Tech Ed. 2024;20(10):em2522. https://doi.org/10.29333/ejmste/15470
AMA
Cantillo-Rudas BM, Rodríguez-Nieto CA, Font Moll V, Rodríguez-Vásquez FM. Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories. EURASIA J Math Sci Tech Ed. 2024;20(10), em2522. https://doi.org/10.29333/ejmste/15470
Chicago
Cantillo-Rudas, Benilda María, Camilo Andrés Rodríguez-Nieto, Vicenç Font Moll, and Flor Monserrat Rodríguez-Vásquez. "Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories". Eurasia Journal of Mathematics, Science and Technology Education 2024 20 no. 10 (2024): em2522. https://doi.org/10.29333/ejmste/15470
Harvard
Cantillo-Rudas, B. M., Rodríguez-Nieto, C. A., Font Moll, V., and Rodríguez-Vásquez, F. M. (2024). Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories. Eurasia Journal of Mathematics, Science and Technology Education, 20(10), em2522. https://doi.org/10.29333/ejmste/15470
MLA
Cantillo-Rudas, Benilda María et al. "Mathematical and neuro-mathematical connections activated by a teacher and his student in the geometric problems-solving: A view of networking of theories". Eurasia Journal of Mathematics, Science and Technology Education, vol. 20, no. 10, 2024, em2522. https://doi.org/10.29333/ejmste/15470