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Venkat, Hamsa; Askew, Mike; Watson, Anne; Mason, John – For the Learning of Mathematics, 2019
In this paper, we provide an elaboration of the notion of mathematical structure -- a term agreed upon as valuable but difficult to define. We pull apart the terminology surrounding the notion of structure in mathematics: relationship, generalising/generalisation and properties, and offer an architecture of structure that distinguishes and…
Descriptors: Mathematics Instruction, Mathematical Concepts, Algebra, Mathematical Formulas
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Neubrand, Michael – For the Learning of Mathematics, 1989
Lists five criteria in the acceptance of mathematical theorems, such as understanding, significance, compatibility, reputation, and convincing argument. Concludes that social and language factors are involved in the process of the acceptance. (YP)
Descriptors: College Mathematics, Higher Education, Mathematical Formulas, Mathematical Logic