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Mathematics Teacher, 1993
Presents methods for teaching two mathematical concepts that utilize visualization. The first illustrates a visual approach to developing the formula for the sum of the terms of an arithmetic sequence. The second develops the relationship between the slopes of perpendicular lines by performing a rotation of the coordinate axes and examining the…
Descriptors: Algebra, Discovery Learning, Generalization, Learning Activities
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Naraine, Bishnu – Mathematics Teacher, 1993
Presents an activity in which students develop their own theorem involving the relationship between the triangles determined by the squares constructed on the sides of any triangle. Provides a set of four reproducible worksheets, directions on their use, worksheet answers, and suggestions for follow-up activities. (MDH)
Descriptors: Cognitive Processes, Concept Formation, Generalization, Geometric Concepts
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de Mestre, Neville; Baker, John – Australian Mathematics Teacher, 1992
Presents a hands-on mathematics task that can be investigated experimentally to produce a sequence of numbers. Describes ways to extrapolate values of the table of numbers by formulating and verifying a conjecture related to the pattern in the numbers. (MDH)
Descriptors: Class Activities, Discovery Learning, Generalization, Investigations