How to understand a theorem?

• Autores: Buma Abramovitz, Miryam Berezina, A. Berman, Ludmila Shvartsman
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 40, Nº. 5, 2009, págs. 577-586
• Idioma: inglés
• DOI: 10.1080/00207390902759618
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this article we describe the process of studying the assumptions and the conclusion of a theorem. We tried to provide the students with exercises and problems where we discuss the following questions: What are the assumptions of a theorem and what are the conclusions? What is the geometrical meaning of a theorem? What happens when one or more of the theorem's assumptions are not fulfiled? What assumptions are necessary and which are sufficient? According to the students' opinion and the test results the developed approach was successful.