ERIC Number: EJ1227897
Record Type: Journal
Publication Date: 2019-Oct
Pages: 10
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1863-9690
EISSN: N/A
Teaching Reader Engagement as an Aspect of Proof
Sørensen, Henrik Kragh; Danielsen, Kristian; Andersen, Line Edslev
ZDM: The International Journal on Mathematics Education, v51 n5 p835-844 Oct 2019
For the past decade, philosophers of mathematical practice have examined the nature and function of proofs in mathematical practice, most often in mathematical research practice. More recently they have examined how mathematicians assess and get to know a proof not just by reading it, but through active engagement with the proof. For example, mathematicians traverse gaps in the proof by filling in details. This paper examines the relevance of this literature to the teaching of mathematics. In particular, it examines how reader engagement can be taught as an aspect of proofs in the context of upper-secondary mathematics education, and the argument is illustrated by teaching material on Hero's formula, which was developed for and tested in Danish upper-secondary mathematics teaching.
Descriptors: Mathematics Instruction, Mathematical Logic, Teaching Methods, Relevance (Education), Secondary School Students, Mathematical Formulas, Foreign Countries
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Denmark
Grant or Contract Numbers: N/A