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Article
Mathematicians’ Example- Related Activity in Formulating Conjectures
Proceedings of the Joint Meeting of PME 38 and PME-NA 36 (2014)
  • Elise Lockwood, Oregon State University
  • Alison G Lynch, University of Wisconsin - Madison
  • Amy B. Ellis, University of Wisconsin-Madison
  • Eric Knuth, University of Wisconsin-Madison
Abstract
This paper explores the role examples play in mathematicians’ conjecturing activity. While previous research has examined example-related activity during the act of proving, little is known about how examples arise during the formulation of conjectures. Thirteen mathematicians were interviewed as they explored tasks that required the development of conjectures. During the interviews, mathematicians productively used examples as they formulated conjectures, particularly by creating systematic lists of examples that they examined for patterns. The results suggest pedagogical implications for explicitly targeting examples in conjecturing, and the study contributes to a body of literature that points to the benefits of exploring, identifying, and leveraging examples in proof-related activity. 
Disciplines
Publication Date
2014
Citation Information
Elise Lockwood, Alison G Lynch, Amy B. Ellis and Eric Knuth. "Mathematicians’ Example- Related Activity in Formulating Conjectures" Proceedings of the Joint Meeting of PME 38 and PME-NA 36 Vol. 4 (2014) p. 129 - 136
Available at: http://works.bepress.com/alison-lynch/7/