Shapes & folds: Geometry when folding
DOI:
https://doi.org/10.15648/invefor.v5i2.4665Keywords:
Ethnomathematics, Folding,, Geometry, Education, InclusionAbstract
The main objective of this research was to analyze the techniques of metal, fabric and gift box folding, identifying the geometric concepts that emerge from these sociocultural practices. A qualitative methodology was adopted, based on the ethnographic phase of the ethnomathematics program, which included semi-structured interviews with experts in each trade. The theoretical
framework was mainly based on ethnomathematics, highlighting the importance of contextualizing mathematical learning in the students' cultural experiences. The findings show that geometric knowledge is manifested in an intuitive and practical way in the work of the participants, which underlines the educational value of incorporating these experiences into the classroom. The
discussion highlights that recognizing and valuing the mathematical diversity present in different cultures not only enriches teaching but also promotes an inclusive environment that favors the students' sense of belonging and interest in mathematics.
Author Biographies
Jean Marcello Martínez Quiroz, Universidad del Atlántico
Facultad de Ciencias de la Educación. Licenciatura en Matemáticas. Semillero Diversidad Matemática.
Daniela Margarita Vásquez Escorcia, Universidad del Atlántico
Facultad de Ciencias de la Educación. Licenciatura en Matemáticas. Semillero Diversidad Matemática.
Armando Aroca Araujo, Universidad del Atlántico
Facultad de Ciencias de la Educación. Licenciatura en Matemáticas. Semillero Diversidad Matemática.
References
Aroca-Araújo, A. (2022). Un enfoque didáctico del programa de etnomatemáticas. Tecné, Episteme y Didaxis: TED, 52, 211–248. https://doi.org/10.17227/ted.num52-13743
Archibald, T., Rowe, D. E., & Dauben, J. W. (2024). A cultural history of mathematics in the modern age (Vol. 6). Bloomsbury Academic.
Budge, K. (2017). Beyond folding and gathering: Museums attending to the new materiality. Museum & Society, 15(1), 33–42. https://doi.org/10.29311/mas.v15i1.660
D’Ambrosio, U. (2001). In my opinion: What is ethnomathematics, and how can it help children in schools? Teaching Children Mathematics, 7(6), 308–310. https://doi.org/10.5951/tcm.7.6.0308
D’Ambrosio, U. (2006). Ethnomathematics: Link between traditions and modernity. Sense Publishers.
Durão Ferreira, L. F., & Bellemain, P. M. B. (2019). Conflito de paradigmas na transição entre os anos iniciais e finais do ensino fundamental: O caso do perímetro e da área. Educação Matemática Pesquisa, 20(3), 213–238. https://doi.org/10.23925/1983-3156.2018v20i3p213-238
Fiorotti, L. B. (2014). Tópicos de geometria plana com o software GeoGebra: Proposta de sequências didáticas [Tesis de maestría, Universidade Federal do Espírito Santo].
Friedman, M., & Rittberg, C. J. (2021). The material reasoning of folding paper. Synthese, 198(Suppl 26), 6333–6367. https://doi.org/10.1007/s11229-019-02131-x
Iglesias, M., & Ortiz, J. (2020). Doblado de papel y software de geometría dinámica: Una experiencia con futuros profesores de matemática. Revista Paradigma, 41, 1004–1032.
Kamran, A. R. (2023). Origami-inspired engineering: Math behind DONs. VFAST Transactions on Mathematics, 11(2), 93–111.
Moreira Rodrigues, R., & Ney de Lima dos Santos, N. (2024). Active methodologies as a pedagogical tool. Revista Gênero e Interdisciplinaridade, 5(1), 395–412. https://doi.org/10.51249/gei.v5i01.1912
Mulligan, J., & Mitchelmore, M. (2018). Promoción del desarrollo estructural matemático temprano mediante un programa pedagógico y de evaluación integrado. En I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank, & C. Benz (Eds.), Investigación y perspectivas contemporáneas sobre la educación matemática en la primera infancia (pp. 17–38). Springer. https://doi.org/10.1007/978-3-319-73432-3_2
Patel, M., & Patel, N. (2019). Exploring research methodology: Review article. International Journal of Research, 6(3), 48–55.
Payadnya, I. P. A. A., Wulandari, I. G. A. P. A., Puspadewi, K. R., & Saelee, S. (2024). The significance of ethnomathematics learning: A cross-cultural perspective between Indonesian and Thailand educators. Journal for Multicultural Education, 18(4), 508–522. https://doi.org/10.1108/JME-05-2024-0049
Pierce, D. (2017). On commensurability and symmetry. Journal of Humanistic Mathematics, 7(2), 90–148. https://doi.org/10.5642/jhummath.201702.06
Rodríguez-Nieto, C. A., Escobar-Ramírez, Y. C., Font Moll, V., & Aroca-Araújo, A. (2023). Ethnomathematical and mathematical connections activated by a teacher in mathematical problems posing and solving. Acta Scientiae, 25(1), 86–121.
https://doi.org/10.17648/acta.scientiae.7356
Rosero, C., Lara, I., Herrera, C., Pulgarín, D., & Villarreal, A. (2023). Origami en la enseñanza de la matemática: Una aproximación descriptiva hacia los principales conceptos. Ideas y Voces, 3(2), 54–67.
Rommevaux, S., Vendrix, P., & Zara, V. (2012). Proportions. Science, musique, peinture et architecture. Brepols. https://doi.org/10.1484/M.ER-EB.5.106720
Thomas, S., & Jacob, G. (2021). Ethnomathematics. International Journal of Advanced Research, 9, 310–312. https://dx.doi.org/10.21474/IJAR01/13409
Wares, A. (2021). A gift box filled with mathematics. Mathematics Teacher: Learning and Teaching PK–12, 114(4), 318–324.
Yuan, Y., Cheng, R., Gao, Y., Hoenders, B. J., & Cai, Y. (2023). 0–360 degrees angular measurements using spatial displacement. Applied Physics Letters, 122(11), 111106. https://doi.org/10.1063/5.0144731
Downloads
Published
Issue
Section
License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
.png)
.png)
.png)


