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The Sum of n Polygonal Numbers
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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
Patterns in Divisibility
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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
The Fourth Dimension and Beyond . . . With a Surprise Ending!
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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
Number Patterns: Discovery Versus Reception Learning
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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
Patterns in Integers
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Sicklick, Francine P. – Mathematics Teacher, 1975
Descriptors: Discovery Learning, Instruction, Integers, Mathematical Concepts
The Multiple Triangle: Experiences in Discovery.
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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
Figurate Numbers
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Weaver, Cloman – Mathematics Teacher, 1974
Details of an investigation into polygonal numbers are given. From a study of the tabled series, patterns are discovered both within and between the various polygonal series. From a study of these results and the corresponding figures, formulas are developed. (LS)
Descriptors: Discovery Learning, Experiential Learning, Geometric Concepts, Induction
Using Tables to Teach Mathematics.
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Keller, Clifton – Mathematics Teacher, 1978
The construction of tables of numbers is discussed as a learning activity that involves work in such things as reciprocals, calculators, formulas, patterns, discovery, prime numbers, and other types of numbers. (MP)
Descriptors: Calculators, Charts, Computation, Discovery Learning
Right Isosceles Triangles on the Geobooard.
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Austin, Joe Dan – Mathematics Teacher, 1979
Students use a series of isosceles right triangles constructed on a geoboard to discover patterns and form generalizations. (MP)
Descriptors: Algebra, Discovery Learning, Geometry, Instruction
Fun with Repeating Decimals.
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Wagner, Sue S. – Mathematics Teacher, 1979
This discussion of cyclic patterns that appear in repeating decimals includes the use of the calculator in discovering the patterns. (MP)
Descriptors: Calculators, Computation, Decimal Fractions, Discovery Learning
Searching for Patterns of Divisors.
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Brown, G. W. – Arithmetic Teacher, 1984
A useful approach for developing insights and discovering patterns is to examine numbers in relation to the number of their divisors. A teaching procedure for this approach is presented, with questions, answers, and homework suggestions. (MNS)
Descriptors: Discovery Learning, Division, Elementary Education, Elementary School Mathematics
Activities: Discovery with Number Triangles.
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Ouellette, Hugh – Mathematics Teacher, 1978
Three worksheets dealing with number triangles are given. Exercises are designed to lead students to discover number patterns within the triangles. (MP)
Descriptors: Activity Units, Computation, Discovery Learning, Instructional Materials
Magic Triangles--More Discoveries!
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Zalewski, Donald L. – Arithmetic Teacher, 1979
An investigation of patterns in magic triangles leads to a number of discoveries concerning the sums of sides and corners. (MP)
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Learning Activities
Fraction Patterns--Visual and Numerical.
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Bennett, Albert B., Jr. – Mathematics Teacher, 1989
A visual model of fractions, the tower of bars, is used to discover patterns. Examples include equalities, inequalities, sums of unit fractions, sums of differences, symmetry, and differences and products. Infinite sequences of numbers, infinite series, and concepts of limits can be introduced. (DC)
Descriptors: Charts, Class Activities, Discovery Learning, Fractions
Ideas.
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Nevin, Mary Lou; Fennell, Francis, Ed. – Arithmetic Teacher, 1992
The focus of this article is patterns and pattern making using geometric figures. Included are sequentially planned activities for K-8 students that help them first to discover the attributes of various figures and later how to combine these figures into patterns. Finally, this information is applied to real world activities such as quilting and…
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Geometric Concepts
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