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DiDomenico, Angelo S. – Mathematics Teacher, 1986
A theorem is given for a property of right triangles. From it, students can deduce significant relations. (MNS)
Descriptors: Geometric Concepts, Logical Thinking, Mathematics Instruction, Proof (Mathematics)
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DiDomenico, Angelo S. – Mathematics Teacher, 1985
Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)
Descriptors: Addition, Geometric Concepts, Learning Activities, Mathematics
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DiDomenico, Angelo S. – Mathematics Teacher, 1983
It is seen as important that mathematics teachers encourage open, imaginative investigations that give students an opportunity to probe, find patterns and relations, and derive new patterns and relations. The article focuses on multiplication tables and classes, including questions for further exploration. (MP)
Descriptors: Equations (Mathematics), Instruction, Mathematical Concepts, Mathematical Enrichment
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DiDomenico, Angelo S. – Mathematics Teacher, 1979
An activity leading to the discovery of a property of primes is suggested for encouraging algebra students to make nontrivial conjectures. (MP)
Descriptors: Algebra, Discovery Learning, Instruction, Learning Activities
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DiDomenico, Angelo S. – Mathematics Teacher, 1992
Gives an example of an open exploration using trigonometric relationships in which the law of cosines can be deduced from the law of sines. Discusses the characteristics and value of the exploration process. (MDH)
Descriptors: Creative Thinking, Discovery Learning, Discovery Processes, Equations (Mathematics)