Proofs and generalizations of the pythagorean theorem

This article explores a topic developed by a group of researchers of the Science and Technology Teaching School of Instituto Federal de Pernambuco, Brazil (IFPE), in assistance to the development of the Mathematics Practical and Teaching Laboratory of the distance learning Teaching Licensure, financed by the Universidad Abierta de Brasil. In this article, we describe the peculiarities present in the proofs of the Pythagorean theorem with the purpose of illustrating some of these methods. The selection of these peculiarities was founded and based on the comparison of areas by means of the superimposition of geometrical shapes and used several different class resources. Some generalizations of this important theorem in mathematical problem-solving are also shown.

• Tipo de recurso: http://purl.org/coar/resource_type/c_6757
• Fecha de publicación: 2011
• Institución: Universidad Pedagógica y Tecnológica de Colombia
• Repositorio: RiUPTC: Repositorio Institucional UPTC
• Idioma: spa
• OAI Identifier: oai:repositorio.uptc.edu.co:001/13292
• Acceso en línea: https://revistas.uptc.edu.co/index.php/praxis_saber/article/view/1112; https://repositorio.uptc.edu.co/handle/001/13292
• Palabra clave: pythagorean theorem; geometric shapes; proofs; generalizations.; Teorema de Pitágoras; figuras geométricas; demostraciones; generalizaciones.; Théorème de Pythagore; figures géométriques; démonstrations; généralisations.; Teorema de Pitágoras; figuras geométricas; demonstrações; generalizações.
• License: http://purl.org/coar/access_right/c_abf258