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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
What Do You See?--A Discovery Approach to Prime Numbers
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Erb, Clinton A. – Arithmetic Teacher, 1975
Descriptors: Arithmetic, Discovery Learning, Elementary Education, Elementary School Mathematics
252/7: A Divisibility Pattern.
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Schatzman, Gary – Mathematics Teacher, 1986
An activity project is described which encourages students to question and experiment. Appendices provide examples of student results. (MNS)
Descriptors: Discovery Learning, Learning Activities, Mathematics Instruction, Number Concepts
Guided Discovery With Magic Squares
Peer reviewed Peer reviewed
Atkinson, Thomas P. – Arithmetic Teacher, 1975
Descriptors: Discovery Learning, Elementary Education, Elementary School Mathematics, Experiential Learning
Activities: How Many Blocks in a Triangular Pile?
Peer reviewed Peer reviewed
Woolaver, John N. – Mathematics Teacher, 1974
Descriptors: Activity Units, Discovery Learning, Experiential Learning, Induction
Summing Arithmetic Series on the Geoboard
Peer reviewed Peer reviewed
Edwards, Ronald R. – Mathematics Teacher, 1974
Descriptors: Discovery Learning, Experiential Learning, Instruction, Mathematical Enrichment
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
Some Number Investigations on the Multiplication Table (4 Activity Sheets) Year Level: 11, better students in 10, possibly 9.
Peer reviewed Peer reviewed
Siebuhr, Ted – Australian Mathematics Teacher, 1983
Some number investigations on the multiplication table are provided by a sequence of four activity sheets. Beginning with examples of triangular and square numbers, the activities lead to the generalization. (MNS)
Descriptors: Discovery Learning, Instructional Materials, Investigations, Learning Activities
The Even Triangle: A Heuristic Approach.
Peer reviewed Peer reviewed
Ouellette, Hugh – Mathematics Teacher, 1978
Five activities involving an array of numbers called an even triangle are given. Properties of the triangle are listed and some generalizations are proven. (MP)
Descriptors: Discovery Learning, Instructional Materials, Learning Activities, Mathematics Activities
Searching for Patterns of Divisors.
Peer reviewed Peer reviewed
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.
Peer reviewed Peer reviewed
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
The Giant Inch and Other Logo Programs for Math Class.
Ary, Temple S. – Classroom Computer Learning, 1987
Three examples are given in which students create their own Logo software to explore the topics of number patterns and operations, fractions, and decimal parts in measurement. (MNS)
Descriptors: Computer Software, Decimal Fractions, Discovery Learning, Elementary Education
Counting Squares.
Peer reviewed Peer reviewed
Pagni, David L. – Mathematics Teacher, 1991
Presented is an activity that explores the relationship between the size of a rectangle and the number of squares intersected by a diagonal. Students incorporate pattern recognition and the concept of the greatest common divisor in solving the problem. A sample worksheet is provided. (MDH)
Descriptors: Discovery Learning, Elementary Secondary Education, Enrichment Activities, Geometry
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