Neuroscience, Education and Cognitive Function Open access Peer reviewed

Modelo dinâmico aplicado ao processamento de informações matemáticas

Regiane Aparecida Auer, Enrique Chipicoski Gabrick, Antonio Marcos Batista

REMAT Revista Eletrônica da Matemática | Oct 30, 2026

Abstract

Abstract

The processing of mathematical information involves complex cognitive functions, mediated mainly by the prefrontal cortex, such as attention, working memory, and cognitive effort. Despite advances in neuroscience and cognitive psychology, mathematical models capable of dynamically describing the interaction between these processes during the resolution of mathematical problems are still scarce. This article proposes a dynamic model based on a system of nonlinear differential equations that simulates the interaction between attention, working memory, and cognitive effort. Three simulation scenarios were analyzed:i) low complexity task, ii) moderate complexity, and iii) high complexity. The results reproduce cognitive phenomena widely described in the literature, such as cognitive overload, attentional oscillations, and stability under low demand. The model shows potential for applications in Neuroeducation and in the planning of evidence-based pedagogical practices.

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Authors

Researchers on this paper

Regiane Aparecida Auer

first | Universidade Estadual de Ponta Grossa | ORCID 0009-0007-9154-8037

Enrique Chipicoski Gabrick

middle | Universidade de São Paulo | ORCID 0000-0002-8407-7675

Antonio Marcos Batista

last | Universidade Estadual de Ponta Grossa | ORCID 0000-0002-5899-0591

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Citation

BibTeX

@article{Auer2026Modelo,
  title = {Modelo dinâmico aplicado ao processamento de informações matemáticas},
  author = {Regiane Aparecida Auer and Enrique Chipicoski Gabrick and Antonio Marcos Batista},
  journal = {REMAT Revista Eletrônica da Matemática},
  year = {2026},
  doi = {10.35819/remat2026v12id8313},
  url = {https://doi.org/10.35819/remat2026v12id8313}
}

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