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Direct linkVenkat, 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
Peer reviewedNeubrand, 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
Peer reviewedPirie, Susan; Kieren, Tom – For the Learning of Mathematics, 1989
Analyzes two transcripts of children's mathematical behavior to observe the nature of recursive levels and interrelationships among them. Describes several levels of the recursions. (YP)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Fractions
Peer reviewedFuehrer, Lutz – For the Learning of Mathematics, 1991
Presents three stories from mathematics history that can be integrated into classroom teaching: (1) the account of how Eratosthenes measured the circumference of the earth to discuss the concept of units in measurement, (2) ideas from Archimedes, Vite, and Descartes to introduce pi, and (3) the discovery of the Cardanic formula as an example of…
Descriptors: Geometric Concepts, Heuristics, Integrated Activities, Integrated Curriculum
