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Four Levels of Understanding.
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Buxton, Laurie – Mathematics in School, 1978
An example is used to illustrate the four levels: rote, observational, insightful, and formal. (MP)
Descriptors: Cognitive Development, Comprehension, Concept Formation, Elementary Secondary Education
Children's Understanding of Numerical Variables.
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Kuchemann, Dietmar – Mathematics in School, 1978
An algebra test was constructed within a Piagetian framework. Results of a selection of the test items are given and discussed. (MP)
Descriptors: Algebra, Cognitive Development, Concept Formation, Educational Research
Direct Proportion: The Application of Dienes' Theories to a Traditional Topic.
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Leddy, Tom – Mathematics in School, 1979
Five steps described by Dienes by which mathematics is learned are illustrated through the use of the topic of direct proportion. (MP)
Descriptors: Cognitive Development, Concept Formation, Educational Psychology, Elementary Secondary Education
On Teaching the Foundations of Number
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Womack, David – Mathematics in School, 1978
The author argues on theoretical grounds that not all "logical" pre-number activities are equally relevant for numeracy, and concludes with a practical suggestion for the kind of activity which does have particular relevance. (MN)
Descriptors: Cognitive Development, Concept Formation, Elementary Education, Elementary School Mathematics
Some Dangers in the Concept of Understanding.
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Thwaites, G. N. – Mathematics in School, 1979
This discussion centers around the dangers in making too precise a particular concept in educational psychology that distinguishes between two types of understanding, instrumental and relational. (MP)
Descriptors: Cognitive Development, Cognitive Processes, Comprehension, Concept Formation