ERIC Number: ED604519
Record Type: Non-Journal
Publication Date: 2019
Pages: 8
Abstractor: As Provided
ISBN: N/A
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What Can Be More Challenging than Square-Rooting from Squared Things?
Kontorovich, Igor'
Mathematics Education Research Group of Australasia, Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (42nd, Perth, Western Australia, Jun 30-Jul 4, 2019)
Roots is one of these mathematical topics that students encounter multiple times in their studies of mathematics. Growing from the commognitive framework, this study is concerned with intra-commognitive conflicts where the same discursant develops incommensurable discourses on 'the same' mathematical object (square roots, in this case) and endorses seemingly conflicting narratives about it. These conflicts were explored among eleven preacademic students who worked individually on a multiple-question assignment asking them to extract square roots from squared numbers and expressions. Three intra-commognitive conflicts are presented in this paper: a conflict of perfect squares and squared inputs, a conflict of stand-alone and incorporated roots, and a conflict of expressions and equations.
Descriptors: Mathematical Concepts, Secondary School Mathematics, College Mathematics, Mathematics Education, Mathematics Instruction, Learning Processes, Thinking Skills, Conflict, Assignments, Equations (Mathematics), Task Analysis
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: Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: Mathematics Education Research Group of Australasia
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