ERIC Number: EJ1280490
Record Type: Journal
Publication Date: 2021-Jan
Pages: 18
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
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Available Date: N/A
The Role of Generic Examples in Teachers' Proving Activities
Educational Studies in Mathematics, v106 n1 p133-150 Jan 2021
This paper explores how in-service teachers enrolled in a graduate proof course interpret, understand, and use generic examples as part of their proving and justification activities. Generic examples, which are capable of proving and justifying with strong explanatory power, are particularly important for teachers considering teaching proof in their classrooms. The teachers in our study used generic examples to produce three types of proof: example-based arguments enhanced with generic language; incomplete generic examples; and complete generic examples. We found that teachers conflate generic examples and visual representations, prefer visual generic examples for teaching, and consider a generic example with symbolic representation to be more convincing than a generic example without. We conclude with implications for secondary school teaching, as well as suggestions for future professional development efforts.
Descriptors: Demonstrations (Educational), Mathematical Logic, Validity, Mathematics Instruction, Secondary School Teachers, Preferences, Graduate Study, Inservice Teacher Education, Professional Development, Visual Aids
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A