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Brown, Stephen I.; Walter, Marion I. – Mathematics Teaching, 1972
Descriptors: Discovery Learning, Inquiry, Instruction, Mathematics Education
Avital, Shmuel; Amit, Gideon – Mathematics Teaching, 1978
An exploratory problem is presented which involves the identification of all the ways a unit fraction with prime denominator can be written as a sum of two unit fractions. (MN)
Descriptors: Activity Units, Discovery Learning, Induction, Instructional Materials
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
Dichmont, John – Mathematics Teaching, 1972
Descriptors: Conservation (Concept), Discovery Learning, Elementary School Mathematics, Instruction
Evans, Patricia – Mathematics Teaching, 1981
Details of pupil exploration as to the largest number of sides that a polygon could have on a geoboard are presented. The problem is not seen as open-ended, but many different avenues of pursuit stem from it. (MP)
Descriptors: Discovery Learning, Elementary Secondary Education, Geometric Concepts, Learning Activities
Eagle, M. Ruth; Watson, F. R. – Mathematics Teaching, 1972
Descriptors: Discovery Learning, Elementary School Mathematics, Instruction, Learning Processes
Palmer, Humphrey – Mathematics Teaching, 1980
The author advocates a return to the teaching of logic in the public schools. Methods of lessening student difficulties in learning are highlighted and current school projects are discussed. (MP)
Descriptors: Deduction, Discovery Learning, Experiential Learning, Induction
Walther, G. – Mathematics Teaching, 1975
A series of simple games can be analyzed inductively to determine strategies. Students explore possibilities, hypothesize solutions, prove their solutions correct, and then generalize to more complex games. (SD)
Descriptors: Discovery Learning, Educational Games, Induction, Instruction
Mason, John – Mathematics Teaching, 1978
The exploration mode of content presentation is discussed. (MP)
Descriptors: College Mathematics, Discovery Learning, Higher Education, Instruction
Fielker, David S. – Mathematics Teaching, 1981
The problem of finding the maximum number of right angles a polygon can have, given the number of sides, is discussed in detail. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Mathematical Enrichment
Kent, David – Mathematics Teaching, 1980
Aspects of the instruction of trigonometry in secondary school mathematics are reviewed. Portions of this document cover basic introductions, a student-developed theorem, the cosine rule, inverse functions, and a sample outdoor activity. (MP)
Descriptors: Discovery Learning, Experiential Learning, Learning Activities, Mathematics Instruction
Hartz, Viggo – Mathematics Teaching, 1981
Allowing students to use a polystyrene cutter to fashion their own three-dimensional models is suggested as a means of allowing individuals to experience problems and develop ideas related to solid geometry. A list of ideas that can lead to mathematical discovery is provided. (MP)
Descriptors: Discovery Learning, Elementary Secondary Education, Experiential Learning, Geometric Concepts
Hedger, Keith – Mathematics Teaching, 1980
A lesson for secondary mathematics pupils on prime numbers designed to capture student interest is presented. The emphasis is on developing lessons that act as motivating forces in the classroom. (MP)
Descriptors: Discovery Learning, Mathematical Concepts, Mathematical Enrichment, Mathematics Instruction