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Komatsu, Kotaro – Educational Studies in Mathematics, 2016
The process of proofs and refutations described by Lakatos is essential in school mathematics to provide students with an opportunity to experience how mathematical knowledge develops dynamically within the discipline of mathematics. In this paper, a framework for describing student processes of proofs and refutations is constructed using a set of…
Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Knowledge Level