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Autor/inn/enDogan, Muhammed Fatih; Williams-Pierce, Caro
TitelThe Role of Generic Examples in Teachers' Proving Activities
QuelleIn: Educational Studies in Mathematics, 106 (2021) 1, S.133-150 (18 Seiten)Infoseite zur Zeitschrift
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ZusatzinformationORCID (Dogan, Muhammed Fatih)
ORCID (Williams-Pierce, Caro)
Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0013-1954
DOI10.1007/s10649-020-10002-3
SchlagwörterDemonstrations (Educational); Mathematical Logic; Validity; Mathematics Instruction; Secondary School Teachers; Preferences; Graduate Study; Inservice Teacher Education; Professional Development; Visual Aids
AbstractThis 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. (As Provided).
AnmerkungenSpringer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2024/1/01
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