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Cardinals versus Ordinals: Which Come First?
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Jungic, Veselin; Yan, Xiaoheng – For the Learning of Mathematics, 2020
The aim of this article is to advise readers that natural numbers may be introduced as ordinal numbers or cardinal numbers and that there is an ongoing discussion about which come first. In addition, through several examples, the authors demonstrate that in the process of answering the question "How many?" one may, if convenient, use…
Descriptors: Number Concepts, Mathematics Instruction, Cognitive Processes, Numbers
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
Are Mathematical Understanding and Algorithmic Performance Related?
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Nesher, 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
On the Nature of Counting Activity: Perceptual Unit Items.
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Steffe, Leslie; And Others – For the Learning of Mathematics, 1981
Pre-experimental interviews conducted with three children to investigate three aspects of the nature of counting are detailed. Sixteen findings related to the counting of perceptual items are summarized. (MP)
Descriptors: Basic Skills, Cognitive Development, Cognitive Processes, Computation