A linguagem matemática e as suas diversas formas de expressão: uma leitura semiótica da matemática e do seu ensino

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Data
2025-11-17
Autores
Rosário, Talita Brum do
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Universidade Federal do Espírito Santo
Resumo
This study analyzes how mathematical language — both in its verbal forms (oral and written) and non-verbal forms (symbolic, graphical, and visual) — influences the teaching and learning process. The research is based on the premise that mathematics is a language composed of different registers of representation, and that students' difficulties often do not lie in the mathematical concept itself, but in the way it is presented, translated, and used in the classroom. The investigation adopts a qualitative, bibliographic, and documentary approach, focusing on Raymond Duval’s Theory of Semiotic Representation Registers. Six studies were analyzed involving different educational contexts (Elementary Education, Youth and Adult Education, blind and deaf students), emphasizing the role of language in the development of mathematical thinking. The results show that pedagogical practices centered exclusively on symbolic or algebraic language limit students’ understanding and hinder conceptual development. In contrast, when teachers articulate different representation registers — such as graphs, verbal explanations, diagrams, images, and concrete manipulation — students demonstrate greater comprehension, engagement, and cognitive development. The research also reveals that many teachers have not received sufficient training to understand and work with mathematics as a language, which reinforces fragmented practices focused only on memorizing algorithms. It is concluded that consciously exploring the diversity of registers enhances mathematical communication, contributes to meaningful learning, and strengthens students’ intellectual autonomy. Duval’s theory stands out as a reference for rethinking teaching practices and promoting mathematics education focused on understanding rather than on the mere execution of procedures.
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Linguagem matemática , Registros de representação semiótica , Ensino e aprendizagem , Mathematical language , Semiotic representation registers , Teaching and learning
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