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Coles, Alf – For the Learning of Mathematics, 2014
Drawing on the work of Gattegno, it is suggested that a powerful way of teaching mathematics is to introduce symbols as relationships between visible or tangible resources. The symbols are abstract (formal) from the beginning and yet there are concrete resources to support their use. Drawing on data from a research project in primary schools in…
Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Arithmetic
On the Essence of Multiplication.
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Boulet, Genevieve – For the Learning of Mathematics, 1998
Presents and criticizes current theories of multiplication in order to pave the way for an alternative foundation for the concept of multiplication. Formulates a uniform concept of multiplication that recognizes anew the importance of the roles of multiplier and multiplicand. (Contains 22 references.) (ASK)
Descriptors: Arithmetic, Elementary Education, Learning Theories, Mathematics Education
Pointing with Pronouns.
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Rowland, Tim – For the Learning of Mathematics, 1992
Investigated the use of the pronoun "it" by a nine-year-old girl as a concept variable conveying the message that she had something in mind that she believed the listener understood. (MDH)
Descriptors: Discussion (Teaching Technique), Division, Elementary Education, Interpersonal Communication
Which Operation? Certainly Not Division!
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Fielker, David S. – For the Learning of Mathematics, 1986
How children perceive doubling and halving numbers is discussed, with many examples. The use of calculators is integrated. The tendency to avoid division if other ways of solving a problem can be found was noted. (MNS)
Descriptors: Calculators, Cognitive Processes, Computation, Division