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
Materias:
Validación
Demostración matemática
Ingreso universidad
Enfoque ontosemiótico
Validation
Mathematical proof
University entrance
Ontosemiotic approach
Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/44897
Aporte de:
Revista de Educación Matemática de Universidad Nacional de Córdoba
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spelling I10-R366-article-448972024-05-06T16:22:49Z The ontosemiotic complexity of expected mathematical proofs at university entrance La complejidad ontosemiótica de demostraciones matemáticas que se proponen en la entrada a la universidad Milanesio, Bettina Markiewicz, María Elena Validación Demostración matemática Ingreso universidad Enfoque ontosemiótico Validation Mathematical proof University entrance Ontosemiotic approach 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. En este trabajo se abordan aspectos vinculados a la validación de proposiciones matemáticas en la entrada a la universidad. A partir de las dificultades que muestran estudiantes ingresantes para validar deductivamente, realizamos una selección de las primeras prácticas de validación que se presentan en los materiales de trabajo de asignaturas del primer año de la carrera de grado Profesorado en Matemática. Escogimos tres demostraciones, representativas del tipo de prácticas de validación que se promueve en dichos materiales, y las analizamos utilizando herramientas del Enfoque ontosemiótico del conocimiento y la instrucción matemáticos. Esto nos permitió develar la complejidad ontosemiótica de las demostraciones pretendidas y prever conflictos semióticos potenciales que pueden explicar las dificultades de los estudiantes en la comprensión y la realización de las mismas. Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2024-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Artículo evaluado por pares application/pdf https://revistas.unc.edu.ar/index.php/REM/article/view/44897 10.33044/revem.44897 Revista de Educación Matemática; Vol. 39 Núm. 1 (2024); 29-56 1852-2890 0326-8780 spa https://revistas.unc.edu.ar/index.php/REM/article/view/44897/44973 https://creativecommons.org/licenses/by-sa/4.0/
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-366
container_title_str Revista de Educación Matemática
language Español
format Artículo revista
topic Validación
Demostración matemática
Ingreso universidad
Enfoque ontosemiótico
Validation
Mathematical proof
University entrance
Ontosemiotic approach
spellingShingle Validación
Demostración matemática
Ingreso universidad
Enfoque ontosemiótico
Validation
Mathematical proof
University entrance
Ontosemiotic approach
Milanesio, Bettina
Markiewicz, María Elena
The ontosemiotic complexity of expected mathematical proofs at university entrance
topic_facet Validación
Demostración matemática
Ingreso universidad
Enfoque ontosemiótico
Validation
Mathematical proof
University entrance
Ontosemiotic approach
author Milanesio, Bettina
Markiewicz, María Elena
author_facet Milanesio, Bettina
Markiewicz, María Elena
author_sort Milanesio, Bettina
title The ontosemiotic complexity of expected mathematical proofs at university entrance
title_short The ontosemiotic complexity of expected mathematical proofs at university entrance
title_full The ontosemiotic complexity of expected mathematical proofs at university entrance
title_fullStr The ontosemiotic complexity of expected mathematical proofs at university entrance
title_full_unstemmed The ontosemiotic complexity of expected mathematical proofs at university entrance
title_sort ontosemiotic complexity of expected mathematical proofs at university entrance
description 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.
publisher Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
publishDate 2024
url https://revistas.unc.edu.ar/index.php/REM/article/view/44897
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first_indexed 2024-09-03T22:37:01Z
last_indexed 2024-09-03T22:37:01Z
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