ERIC Number: ED623824
Record Type: Non-Journal
Publication Date: 2022
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
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Available Date: N/A
Are Learners Referring to the General or the Particular? Discursive Markers of Generic versus Empirical Example-Use
Knox, Jo; Kontorovich, Igor'
Mathematics Education Research Group of Australasia, Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (44th, Launceston, Tasmania, Australia, Jul 3-7, 2022)
Supporting students of all levels to move beyond empirical arguments, which employ example based reasoning to endorse universal truths and are thus mathematically invalid, remains a challenging goal in mathematics education. Arguments that make use of generic examples are both mathematically valid and accessible for even young learners. However, discerning whether students are viewing or using an example as a specific case, or a general case, is difficult. In this paper, we open the space between empirical and generic use of examples and establish categories of example-use regarding odd and even numbers. We reveal discursive markers pointing towards whether a learner is referring to particularity or generality in their example-based reasoning.
Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, Classification, Numbers, Guidelines, Grade 4, Elementary School Students, Foreign Countries, Discourse Analysis, Classroom Communication, Logical Thinking
Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Elementary Education; Grade 4; Intermediate Grades
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: Mathematics Education Research Group of Australasia (MERGA)
Identifiers - Location: New Zealand
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