Topological games in science education

interfaces between epistemology, playfulness, and critical formation in the context of contemporary education

Authors

DOI:

https://doi.org/10.23925/1983-3156.2026.v28.e72245

Keywords:

Topological games, Interdisciplinarity, Spatial visualization, Critical thinking, Science education

Abstract

In this theoretical work, we discuss the integration of topological games into Science and Mathematics education as a pedagogical, epistemological, and interdisciplinary strategy. Topology, as a branch of Mathematics that studies properties that remain invariant under continuous deformations, allows for the expansion of pedagogical practices that stimulate spatial visualization, abstract reasoning, and critical thinking. Through simple objects such as Möbius bands, knots, and toroidal surfaces, students are challenged to revisit their geometric conceptions. In this context, topological games foster connections between different areas of knowledge — from Physics to Art — and encourage inclusive, playful, and collaborative teaching practices. In addition to promoting student agency, teamwork, and philosophical reflection on scientific knowledge, these games serve as starting points for discussions on the limits of visualization, the nature of space, and mathematical representation. Based on these theoretical reflections, we understand that their implementation in the classroom requires continuous teacher training, accessible materials, and a learning environment that values experimentation and dialogue in favor of a critical, meaningful education aligned with the challenges of contemporary education.

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Author Biographies

Antonio Luiz de Almeida, Universidade do Estado da Bahia

Doutor em Física

Batriz Oliveira de Almeida Lima, UFBA

Doutora em Ensino de Ciências

References

Artigue, M. (2002). Teaching and learning mathematics in a digital environment: The evolution of technologies and their impact on mathematics education. Educational Studies in Mathematics, 47(1), 1-15.

Ausubel, D. P. (1968). Educational Psychology: A Cognitive View. Holt, Rinehart and Winston.

Bell, E. T. (1937). Men of Mathematics. Simon and Schuster.

Brasil, Ministério da Educação (MEC). (2018). Base Nacional Comum Curricular (BNCC) - Ensino Médio. Brasília: MEC.

Bruner, J. S. (1961). The Act of Discovery. Harvard Educational Review, 31(1), 21-32.

Castells, M. (2010). The Rise of the Network Society. Wiley-Blackwell.

Crowell, R., & Fox, R. H. (1999). Introduction to Knot Theory. Springer.

Darling-Hammond, L. (2017). The Right to Learn: A Blueprint for Creating Schools that Work. Jossey-Bass.

Facione, P. A. (2015). Critical Thinking: What It Is and Why It Counts. Insight Assessment.

Freire, P. (1970). Pedagogia do Oprimido. Paz e Terra.

Freire, P. (1996). Pedagogia da Autonomia. Paz e Terra.

Ghrist, R. (2014). Elementary Applied Topology. Createspace.

Gleiser, M. (2013). Ciência, Fé e Religião: Conflitos e Diálogos. Vozes.

Gilbert, S. F. (2010). Developmental Biology. Sinauer Associates.

Hasan, M. Z., & Kane, C. L. (2010). Colloquium: Topological insulators. Reviews of Modern Physics, 82(4), 3045.

Hatcher, A. (2002). Algebraic Topology. Cambridge University Press.

Kauffman, L. H. (2001). Knots and Physics. World Scientific.

Lakatos, I. (1976). Proofs and Refutations: The Logic of Mathematical Discovery. Cambridge University Press.

Lee, J. M. (2011). Introduction to Topological Manifolds. Springer.

Morin, E. (2007). Introdução ao Pensamento Complexo. Sulina.

Morowitz, H. J. (2002). The Emergence of Everything: How the World Became Complex. Oxford University Press.

Moran, J. (2010). Metodologias Ativas para uma Educação Inovadora. Papirus.

Munkres, J. R. (2000). Topology. Prentice Hall.

Nelsen, R. B. (2006). Proofs Without Words: Exercises in Visual Thinking. Mathematical Association of America.

Nielsen, M. A., & Chuang, I. L. (2010). Quantum Computation and Quantum Information. Cambridge University Press.

Noddings, N. (2003). Caring: A Feminine Approach to Ethics and Moral Education. University of California Press.

Papert, S. (1980). Mindstorms: Children, Computers, and Powerful Ideas. Basic Books.

Penrose, R. (2005). The Road to Reality: A Complete Guide to the Laws of the Universe. Jonathan Cape.

Piaget, J. (1977). The Development of Thought: Equilibration of Cognitive Structures. Viking.

Sachs, J. D. (2015). The Age of Sustainable Development. Columbia University Press.

Shulman, L. S. (1986). Those Who Understand: Knowledge Growth in Teaching. Educational Researcher, 15(2), 4-14.

Strogatz, S. H. (2015). Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering. Westview Press.

Stillwell, J. (2010). Mathematics and Its History. Springer.

Steenrod, N. (1999). The Topology of Fibre Bundles. Princeton University Press.

Sternberg, R. J. (2006). Critical Thinking in Psychology. Cambridge University Press.

Stillwell, J. (2010). Mathematics and Its History. Springer.

Thurston, W. P. (1997). Three-Dimensional Geometry and Topology. Princeton University Press.

Tobin, K. (2006). Teaching and Learning Science: A Handbook. Praeger.

UNESCO. (2017). Education for Sustainable Development Goals: Learning Objectives. UNESCO Publishing.

Vygotsky, L. S. (1998). Mind in Society: The Development of Higher Psychological Processes. Harvard University Press.

Published

2026-03-23

How to Cite

Almeida, A. L. de, & Lima, B. O. de A. (2026). Topological games in science education: interfaces between epistemology, playfulness, and critical formation in the context of contemporary education. Educação Matemática Pesquisa, 28, 01–18. https://doi.org/10.23925/1983-3156.2026.v28.e72245

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