Do caos ao infinito: fractais como recurso didático-artístico para aprendizagem na educação prisional

Abstract

This work investigates the use of fractals as a craft and therapeutic tool in prison education, focusing on Youth and Adult Education (EJA). The proposal combines mathematics, art, and manual practices, exploring the potential of fractals to foster expressive learning, stimulate creativity, and promote the emotional well-being of incarcerated students. Based on the Theory of Didactic Situations (TSD), the study analyzes situations of action, formulation, validation, and institutionalization, adapted to the prison context. Practical activities with the Sierpiński Triangle and the Pythagorean Tree revealed advances in the understanding of mathematical concepts, increased engagement, and strengthened social bonds. The results indicate that sensitive and inclusive approaches contribute to the humanization of teaching and expand the possibilities for social reintegration through education.