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Conceptualizing reasoning-and-proving opportunities in textbook expositions: Cases from secondary calculus
Örebro University, School of Science and Technology.ORCID iD: 0000-0002-8520-8200
2017 (English)In: Proceedings of the Tenth Congress of the European Society for Research in Mathematics Education (CERME10, February 1-5, 2017) / [ed] Dooley, T., & Gueudet, G., Dublin, Ireland: European Society for Research in Mathematics Education , 2017, p. 91-98Conference paper, Published paper (Refereed)
Abstract [en]

Several recent textbook studies focus on opportunities to learn reasoning-and-proving. They typically investigate the extent to which justifications are general proofs and what opportunities exist for learning important elements of mathematical reasoning. In this paper, I discuss how a particular analytical framework for this might be refined. Based on an in-depth analysis of certain textbook passages in upper secondary calculus textbooks, I make an account for analytical issues encountered during this process and identify aspects of reasoning-and-proving in textbooks that might be missed unless the framework is refined. Among them there are characterizations of generality, use of different representations, logical and mathematical structure, and ordering of material and student activities. Finally, implications beyond textbook research are discussed.

Place, publisher, year, edition, pages
Dublin, Ireland: European Society for Research in Mathematics Education , 2017. p. 91-98
Keywords [en]
Reasoning-and-proving, mathematics textbook, upper secondary calculus
National Category
Other Mathematics Educational Sciences
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-64869ISBN: 978-1-873769-73-7 OAI: oai:DiVA.org:oru-64869DiVA, id: diva2:1180871
Conference
Tenth Congress of the European Society for Research in Mathematics Education (CERME10), Dublin, Ireland, February 1-5, 2017
Available from: 2018-02-07 Created: 2018-02-07 Last updated: 2018-02-20Bibliographically approved

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CiteExportLink to record
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