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Peer reviewedNesher, Pearla – For the Learning of Mathematics, 1986
The conceptual difference between understanding and algorithmic performance is examined first. Then some dilemmas that flow from these distinctions are discussed. (MNS)
Descriptors: Algorithms, Cognitive Processes, Computation, Decimal Fractions
Peer reviewedSteinberg, Heinz – For the Learning of Mathematics, 1989
The question is raised: What comes first: rules of calculation or the meaning of concepts? The pressures on the teacher to teach and simplify knowledge to algorithms are discussed. The relation between conceptual and procedural knowledge in school mathematics and consequences for the teacher's professional knowledge are considered. (DC)
Descriptors: Algorithms, Concept Formation, Decimal Fractions, Elementary School Mathematics
Peer reviewedKatz, Victor J. – For the Learning of Mathematics, 1986
Some concrete examples of the use of historical materials in developing certain topics from precalculus and calculus are presented. Ideas which can be introduced with a reformulated curriculum are discussed in five areas: algorithms, combinatorics, logarithms, trigonometry, and mathematical models. (MNS)
Descriptors: Algorithms, Calculus, College Mathematics, Higher Education
