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Showing 1 to 15 of 74 results Save | Export
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Quast, W. G.; Hunkler, Richard F. – Mathematics Teacher, 1971
The authors define an unusual partitioning or division" operation and explore number patterns and divisibility properties which result. The topic is suggested as enrichment material. (CT)
Descriptors: Discovery Learning, Division, Integers, Mathematical Enrichment
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Strangman, Kathryn Besic – Mathematics Teacher, 1974
Ways of finding the sums of some interesting sequences of numbers are discussed. Finding the patterns creates a challenge, but the patterns are not too difficult for average pupils to discover. Mathematical induction can then be used to prove the formulas. (LS)
Descriptors: Discovery Learning, Induction, Instruction, Mathematics Education
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Gorts, Jeannie – Arithmetic Teacher, 1969
Descriptors: Arithmetic, Discovery Learning, Elementary School Mathematics, Instruction
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Parkerson, Elsa – Arithmetic Teacher, 1978
Playing with number patterns can lead students to discover some divisibility tests. (JT)
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Instruction
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Meconi, L. J. – Arithmetic Teacher, 1972
Patterns in an array of numerals are analyzed; suggestions are given for guided discovery activities leading to a discussion of the properties of identity, closure, commutativity, inverses, and associativity. (DT)
Descriptors: Addition, Discovery Learning, Elementary School Mathematics, Instruction
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Henry, Boyd – Mathematics Teacher, 1974
Number sequence patterns for counting boundaries of familiar figures are extended to higher dimensions. (JP)
Descriptors: Discovery Learning, Geometric Concepts, Mathematical Concepts, Mathematical Enrichment
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Schelfhout, Allan M. – Arithmetic Teacher, 1973
Finding patterns in the relationship between the number of sides in a polygon and the total number of diagonals is used as vehicle to discuss discovery learning. (DT)
Descriptors: Discovery Learning, Geometric Concepts, Instruction, Mathematics Education
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Brown, Lynn H. – Mathematics Teacher, 1973
Descriptors: Discovery Learning, Geometric Concepts, Instruction, Mathematics Education
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O'Brien, Thomas C.; Shapiro, Bernard J. – Journal for Research in Mathematics Education, 1977
Elementary School Teachers were instructed on finding number patterns in a figure in one of three groups: individual discovery, group discovery, and expository. They were tested for recall, retention, and transfer. The expository groups did better on recall, but group discovery was more effective for retention and recall. (SD)
Descriptors: Discovery Learning, Educational Research, Elementary School Teachers, Higher Education
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DiDomenico, Angelo S.; Tanner, Randy J. – Mathematics Teacher, 2001
Shows how all primitive Pythagorean triples can be generated from harmonic sequences. Use inductive and deductive reasoning to explore how Pythagorean triples are connected with another area of mathematics. (KHR)
Descriptors: Algebra, Deduction, Discovery Learning, Induction
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Sicklick, Francine P. – Mathematics Teacher, 1975
Descriptors: Discovery Learning, Instruction, Integers, Mathematical Concepts
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Ouellette, Hugh; Gannon, Gerald – Arithmetic Teacher, 1979
Properties of a given array of numbers are discussed and some sample activity cards involving discovery of number patterns are presented. (MP)
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Instruction
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Ranucci, Ernest R. – Mathematics in School, 1973
Different regular-polygon-shaped candles wound with a sheet of paper are cut through obliquely. When the papers are unwound, unique patterns are revealed. Investigation of these patterns leads to the discovery of geometric concepts. (JP)
Descriptors: Congruence, Discovery Learning, Experiential Learning, Geometric Concepts
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Olson, Melfried – Mathematics Teacher, 1979
Three examples are given illustrating the use of the calculator in problems where determining patterns and making conjectures are stressed. (MP)
Descriptors: Algebra, Calculators, Computation, Discovery Learning
Leddy, Tom – Mathematics Teaching, 1976
Patterns of addends are investigated. The activity is related to Dienes' learning theory. (DT)
Descriptors: Addition, Discovery Learning, Elementary School Mathematics, Elementary Secondary Education
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