Acerca de la enseñanza y el aprendizaje de la
demostración en matemáticas
JORGE FIALLOa *, LEONOR CAMARGOb, ÁNGEL GUTIÉRREZc
aUniversidad Industrial de Santander, Escuela de Matemáticas, Bucaramanga, Colombia.
bUniversidad Pedagógica Nacional, Departamento de Matemáticas, Bogotá, Colombia.
cUniversidad de Valencia, Departamento de didáctica de la Matemática, Valencia, España.
Resumen. En el presente documento realizamos una recopilación bibliográfica de las principales investigaciones acerca de la enseñanza y el aprendizaje de la demostración, con el ánimo de aportar fuentes de consulta a la comunidad de educadores en matemáticas interesados en el tema. Planteamos una estructura organizativa que incluye las siguientes líneas de investigación: Consideraciones histórico-epistemológicas, La demostración en el currículo, Concepciones y dificultades de los estudiantes al demostrar, Relaciones entre argumentación y demostración y Propuestas didácticas para la enseñanza de la demostración.
Palabras Claves: Síntesis de publicaciones, demostración matemática, aprendizaje de la demostración, educación matemática. ]]>
About teaching and learning of the
proof in mathematics
Abstract.In this paper we present a synthesis of main research publications on the teaching and learning of proof. Our aim is to provide a reference to the mathematics educators interested in this topic. The paper is organized based on the following research topics: Historic-epistemological issues, Proof in curriculum, Students' conceptions and difficulties, Relationship among argumentation and proof, Teaching units to teach proof.
Keywords: Synthesis of publications, mathematical proof, learning of proof, mathematics education.
Texto Completo disponible en PDF
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*Autor para correspondencia: E-mail: jfiallo@uis.edu.co.
Recibido: 02 de febrero de 2013, Aceptado: 20 de septiembre de 2013.