Simple yet Hidden Counterexamples in Undergraduate Real Analysis

• Autores: B.A. Shipman, Patrick D. Shipman
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 23, Nº. 2, 2013, págs. 111-120
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We study situations in introductory analysis in which students affirmed false statements as true, despite simple counterexamples that they easily recognized afterwards. The study draws attention to how simple counterexamples can become hidden in plain sight, even in an active learning atmosphere where students proposed simple (as well as more complex) counterexamples daily in class. We provide perspective on these observations in the context of an informative body of related work in undergraduate mathematics studies.