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Sherin, Bruce; Fuson, Karen – Journal for Research in Mathematics Education, 2005
This article proposes a taxonomy of strategies for single-digit multiplication, then uses it to elucidate the nature of the learning tasks involved in multiplication. In preceding work, it has generally been assumed that much of children's strategy development is driven by changes in their general conceptual capabilities relating to number. In…
Descriptors: Classification, Mathematics Instruction, Number Concepts, Multiplication

Ewbank, William A. – Arithmetic Teacher, 1987
Discussed is the topic of least common multiple (LCM), a rationale for its importance, and suggestions for when and how to teach it. (RH)
Descriptors: Division, Elementary Education, Elementary School Mathematics, Mathematical Concepts

Confrey, Jere; Smith, Erick – Journal for Research in Mathematics Education, 1995
Presents a covariation approach to learning exponential and logarithmic functions based on a primitive multiplicative operation labeled splitting that is not repeated addition. Suggests that students need the opportunity to build a number system from splitting structures and their geometric forms. (30 references) (MKR)
Descriptors: Concept Formation, Exponents (Mathematics), Functions (Mathematics), Learning Theories
McIntosh, Alistair – Mathematics Teaching, 1979
This discussion concerns itself with difficulties encountered by students in multiplication and concludes that when children understand a problem they can usually solve it. (MP)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Mathematics Education

Reynolds, P. – Mathematics in School, 1983
The Cockcroft Report on English Schools recommends that all schools design their syllabuses and examinations on the assumption that all students will have access to calculators. How to use calculators sensibly to improve what is taught and how curriculum content may change are discussed. (MNS)
Descriptors: Calculators, Calculus, Computation, Division