Mathematical proof: meaning, types, attributed functions, and relevance as part of math teachers’ professional knowledge

 

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Detalles Bibliográficos
Autores: Alfaro-Carvajal, Cristian, Flores-Martínez, Pablo, Valverde-Soto, Gabriela
Formato: artículo original
Estado:Versión publicada
Fecha de Publicación:2019
Descripción:The objective of this paper is to conduct a theoretical study on the meaning of mathematical proof, taking into consideration three main elements: concept, types, and functions. This is a qualitative and descriptive research. The method used to collect and analyze information is the conceptual analysis. Four sources of information were considered: dictionaries, textbooks, previous research, and the mathematics curriculum of the Ministry of Public Education of Costa Rica. The technique for collecting the information was the bibliographic review. It was determined that proof has different meanings depending on the context; that the types of mathematical proof can be classified into two categories, direct and indirect; and that there are different functions attributed to mathematical proof which are relevant depending on the field in which they are considered. Consequently, the three previous elements should be part of math teachers’ specialized knowledge to promote math proof in secondary education.
País:Portal de Revistas UNA
Institución:Universidad Nacional de Costa Rica
Repositorio:Portal de Revistas UNA
Lenguaje:Español
OAI Identifier:oai:ojs.www.una.ac.cr:article/11481
Acceso en línea:https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/11481
Palabra clave:mathematical proof
math teacher training
conceptual analysis
didactic analysis
demostración matemática
formación de profesores de matemáticas
análisis conceptual
análisis didáctico