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Hedger, Keith; Kent, David – Mathematics Teaching, 1978
A square lattice is used to generate classroom activities, such as counting the number of squares in a lattice of a given size. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Instruction, Learning Activities

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
Ehrlich, Amos – Mathematics Teaching, 1978
Described are results obtained by students investigating double-diagrams, including discoveries of properties and accompanying proofs. (MP)
Descriptors: Diagrams, Discovery Learning, Elementary Secondary Education, Instruction
Ehrlich, Amos – Mathematics Teaching, 1977
A problem concerning the generation of an array of numbers is posed. The author examines the use of this problem in several secondary-school and college classes. (SD)
Descriptors: College Mathematics, Discovery Learning, Instruction, Learning Activities

Ewbank, William A.; Ginther, Jon L. – School Science and Mathematics, 1975
Descriptors: Discovery Learning, Geometric Concepts, Instruction, Laboratory Procedures

Woodward, Ernest – Mathematics Teacher, 1975
Descriptors: Discovery Learning, Instruction, Mathematical Experience, Pattern Recognition

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

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

Jamski, William – Mathematics Teacher, 1975
Students, using the materials provided, can determine the number of diagonals, number of triangles formed by the diagonals, and degree measures of interior and exterior angles of regular polygons. The activity is designed to lead them to general formulae for polygons with n sides. (SD)
Descriptors: Discovery Learning, Experiential Learning, Geometric Concepts, Geometry

Sicklick, Francine P. – Mathematics Teacher, 1975
Descriptors: Discovery Learning, Instruction, Integers, Mathematical Concepts

Woolaver, John N. – Mathematics Teacher, 1974
Descriptors: Activity Units, Discovery Learning, Experiential Learning, Induction

Edwards, Ronald R. – Mathematics Teacher, 1974
Descriptors: Discovery Learning, Experiential Learning, Instruction, Mathematical Enrichment

Prichett, Gordon D. – Mathematics Teacher, 1976
Geometric concepts and theorems can be discovered by high school students using the materials described. Among the topics explored are Platonic solids and Euler's formula. (SD)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Instruction

Piele, Donald T. – Mathematics Teacher, 1974
Descriptors: Discovery Learning, Educational Games, Experiential Learning, Induction

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
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