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Cooper, Jason; Pinto, Alon – For the Learning of Mathematics, 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…
Descriptors: Grade 8, Secondary School Mathematics, Inquiry, Mathematical Logic