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Watson, F. R. – Mathematics in School, 1978
Conjecture and proof, as opposed to numerical calculation, are presented as being the primary focus for teaching mathematics. (MP)
Descriptors: Achievement, Computation, Concept Formation, Discovery Learning
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Whittaker, Dora – Mathematics in School, 1974
Mathematical investigations pursued by two gifted students are presented. One is written by a boy age 9 with his follow-up at 11; he studied patterns to derive the factors for the difference of two squares. Another boy of 11 discovered formulas for slopes of tangent lines and areas under curves. (LS)
Descriptors: Algebra, Calculus, Discovery Learning, Elementary School Mathematics
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Jones, Lesley – Mathematics in School, 1991
Mathematical concepts occur spontaneously from many topics and can be developed in the framework of cross-curricular schoolwork. Consequently, students can gain knowledge of where mathematics arises and insight about its purposes. (Included are activities dealing with the reflectional and rotational symmetries of automobile hubcaps evolved from…
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Geometric Concepts