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Direct linkKomatsu, 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
Carlson, Marilyn P.; Bloom, Irene – Educational Studies in Mathematics, 2005
This paper describes the problem-solving behaviors of 12 mathematicians as they completed four mathematical tasks. The emergent problem-solving framework draws on the large body of research, as grounded by and modified in response to our close observations of these mathematicians. The resulting "Multidimensional Problem-Solving Framework" has four…
Descriptors: Heuristics, Problem Solving, Mathematics, Professional Personnel
