The ontosemiotic complexity of expected mathematical proofs at university entrance

This paper deals with aspects related to the validation of mathematical propositions at university entrance. Based on the difficulties that new students show to validate deductively, we select the first validation practices that are presented in the work materials of first-year subjects of a univers...

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Autores principales: Milanesio, Bettina, Markiewicz, María Elena
Formato: Artículo revista
Lenguaje:Español
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2024
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Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/44897
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Sumario:This paper deals with aspects related to the validation of mathematical propositions at university entrance. Based on the difficulties that new students show to validate deductively, we select the first validation practices that are presented in the work materials of first-year subjects of a university degree in the training of mathematics teachers. We chose three demonstrations, representative of the type of validation practices promoted in such materials and analyzed them using tools from the Ontosemiotic Approach to mathematics knowledge and instruction. This allowed us to reveal the ontosemiotic complexity of the planned demonstrations and to anticipate possible semiotic conflicts that may explain the students’ difficulties in understanding and performing them.