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Peer reviewedExner, Robert M.; Rosskopf, Myron F. – National Council of Teachers of Mathematics Yearbook (33rd), 1970
Presented is a fairly formal and precise definition of proof." Then discussed is the reformulation and modification of this definition to provide a basis for various classroom strategies for teaching mathematical proof. (CT)
Descriptors: Deduction, Instruction, Logic, Mathematical Concepts
Peer reviewedKinsella, John J. – National Council of Teachers of Mathematics Yearbook (33rd), 1970
Discussed are the nature of a mathematical problem, problem solving in the traditional and modern mathematics programs, problem solving and psychology, research related to problem solving, and teaching problem solving in algebra and geometry. (CT)
Descriptors: Instruction, Learning, Mathematical Concepts, Problem Solving
Thomas, Della – School Library Journal, 1971
A review of 88 counting and mathematical-concept books for the primary level. (Author)
Descriptors: Bibliographies, Book Reviews, Books, Childrens Literature
Peer reviewedEwen, Bruce – Mathematics Teacher, 1970
Descriptors: Algebra, College Mathematics, Mathematical Concepts, Mathematical Enrichment
Peer reviewedBodenrader, J. C. – Two-Year College Mathematics Journal, 1971
Descriptors: Algebra, College Mathematics, Mathematical Concepts, Mathematical Enrichment
Peer reviewedGoff, Gerald K.; Johnston, Hiram D. – Mathematics Teacher, 1971
The authors present an enrichment topic appropriate for use in grade 12. A mathematical system is defined using integer 3-tuples and it is shown that this system is a field isomorphic to the rational numbers. The unit is useful for illustrating the abstract nature of mathematics. (CT)
Descriptors: Algebra, Grade 12, Mathematical Concepts, Mathematical Enrichment
Peer reviewedAtherton, Ruth C. – Mathematics Teacher, 1971
Descriptors: Algebra, Instruction, Mathematical Concepts, Mathematics
Peer reviewedByrkit, Donald R. – Mathematics Teacher, 1971
Descriptors: Geometric Concepts, Geometry, Graphs, Mathematical Concepts
Fielker, David S. – Math Teaching, 1970
Descriptors: Arithmetic, Enrichment Activities, Instruction, Mathematical Concepts
Peer reviewedLaible, Jon M. – Mathematics Teacher, 1970
Descriptors: Curriculum Enrichment, Geometric Concepts, Mathematical Concepts, Mathematical Enrichment
Peer reviewedCollis, K. F. – Journal for Research in Mathematics Education, 1971
A study designed to investigate a method examining some of the processes involved in students' forming of mathematical concepts in an experimental mathematics course. Results suggest that the card sorting task offers a useful tool for use in evaluation programs. (FL)
Descriptors: Cognitive Processes, Concept Formation, Grade 8, Learning
Walter, Marion – Mathematics Teaching, 1970
The problem of inscribing a square in a semicircle and related problems are discussed. Solutions to the problems are provided. (FL)
Descriptors: Geometric Concepts, Geometry, Mathematical Concepts, Mathematics Education
Peer reviewedMercer, Gene B.; Kolb, John R. – Mathematics Teacher, 1971
Descriptors: Algebra, Instruction, Instructional Materials, Mathematical Concepts
Peer reviewedGraening, Jay – Mathematics Teacher, 1971
Descriptors: Deduction, Geometric Concepts, Geometry, Induction
Peer reviewedArmitage, J. V. – Educational Studies in Mathematics, 1969
Descriptors: Concept Formation, Induction, Instruction, Logic
