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Peer reviewed
Direct linkDavis, Brent – For the Learning of Mathematics, 2014
An argument is presented for including exponentiation as a "basic" of school mathematics. Key elements of the argument include the topic's increasing relevance in a rapidly changing world and its utility for supporting understandings of role of analogy in mathematical thought. The discussion is illustrated with an account of a…
Descriptors: Mathematics Instruction, Mathematical Concepts, Grade 8, Inquiry
Komatsu, Kotaro; Tsujiyama, Yosuke; Sakamaki, Aruta; Koike, Norio – For the Learning of Mathematics, 2014
It has become gradually accepted that proof and proving are essential at all grades of mathematical learning. Among the various aspects of proof and proving, this study addresses proofs and refutations described by Lakatos, in particular a part of increasing content by deductive guessing, to introduce an authentic process into mathematics…
Descriptors: Mathematics Instruction, Validity, Mathematical Logic, Guessing (Tests)
