Resumo

BARBOSA, Ana; VALE, Isabel  e  GUALANDI, Jorge Henrique. From patterns to generalization: how is creativity expressed by future teachers in Brazil and Portugal?. Ed. Mat. Deb. [online]. 2025, vol.9, n.17, a08. ISSN 2526-6136.  https://doi.org/10.46551/emd.v9n17a08.

The study investigated how Brazilian and Portuguese prospective teachers in initial training solved problems of generalization of mathematical patterns, with emphasis on multiple resolutions and creativity. The research adopted a qualitative and exploratory paradigm, focusing on characterizing the participants' performance in solving tasks involving figurative patterns, as well as the dimensions of creativity that emerged in these resolutions and the variations between the two contexts. The study highlights the importance of integrating visualization and the exploration of multiple representations in the training of future teachers. It is possible to identify that the focus on visualization in Portugal promotes a more robust understanding of algebraic regularities and generalizations, and in Brazil, the use of symbolic notation favors the development of formal skills.

Palavras-chave : Figurative Patterns; Algebraic Thinking; Representations; Generalizations; Creativity.

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