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ERIC Number: EJ1151579
Record Type: Journal
Publication Date: 2017
Pages: 6
Abstractor: As Provided
ISSN: ISSN-0228-0671
Mathematical and Pedagogical Perspectives on Warranting: Approximating the Root of 18
Cooper, Jason; Pinto, Alon
For the Learning of Mathematics, v37 n2 p8-13 2017
"The root of 18 is closer to 4 than it is to 5 because 18 is closer to 16 than it is to 25". Is this statement, voiced in an 8th grade class, valid? We suggest hypothetical arguments upon which this statement might be based, and analyze them from two complementary perspectives--epistemic and pedagogical--drawing on Toulmin's notion of field-dependence in argumentation and on Freeman's classification of warrants based on the type of underlying intuition, belief or prior understanding. We propose that our investigation of this statement may serve as a model for inquiry in teacher preparation.
FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Grade 8
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A