ERIC Number: ED584926
Record Type: Non-Journal
Publication Date: 2012-Nov
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
Available Date: N/A
Middle School Students' Example Use in Conjecture Exploration and Justification
Ellis, Amy B.; Lockwood, Elise; Williams, Caroline C.; Dogan, Muhammed F.; Knuth, Eric
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (34th, Kalamazoo, MI, Nov 1-4, 2012)
Although students' difficulties in developing and understanding proofs in mathematics is well documented, less is known about how students' example use may support their proof practices, particularly at the middle school level. Research on example use suggests that strategic thinking with examples could play an important role in exploring conjectures and developing appropriate justifications. This paper introduces a framework of middle-school students' example exploration, distinguishing between the types of examples students use and the uses examples play in making sense of and proving conjectures. Drawing from clinical interviews with 20 students, we present thirteen categories of example types and seven categories of uses, followed by a discussion of each set of categories and their connections to one another. [For the complete proceedings, see ED584829.]
Descriptors: Middle School Students, Mathematics Skills, Mathematical Logic, Problem Solving, Abstract Reasoning, Semi Structured Interviews, Coding, Data Analysis
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: Middle Schools
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF)
Authoring Institution: N/A
Grant or Contract Numbers: DRL0814710
Author Affiliations: N/A

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