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Peer reviewedBalk, G. D. – Educational Studies in Mathematics, 1971
Descriptors: Algebra, Discovery Learning, Geometry, Induction
Peer reviewedDacey, Raymond – Mathematics Teacher, 1974
The problem of finding the area of a regular polygon is presented as a good example of a mathematical discovery that leads to a significant generalization. The problem of finding the number of sides which will maximize the area under certain conditions leads to several interesting results. (LS)
Descriptors: Calculus, Discovery Learning, Generalization, Geometric Concepts
Kelly, John C. – Pipeline, 1981
A set of programs, designed to supplement a high school or college course in trigonometry, is described. Student exploration is stressed. (MP)
Descriptors: Computer Graphics, Computer Programs, Discovery Learning, Graphs
Peer reviewedSiegel, Steven L. – Mathematics Teacher, 1982
A problem involving the search for an equivalence class of triangles is viewed to provide several exciting and satisfying moments of insight. After solving the original problem, there is a brief discussion of a slight variation and several notes regarding related theorems and ideas. References for additional exploration are provided. (MP)
Descriptors: Discovery Learning, Geometric Concepts, Mathematical Enrichment, Mathematics Instruction
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
Peer reviewedTouval, Ayana – Mathematics Teacher, 1997
Consideration of a definite integral in an advanced calculus class led to a great deal of mathematical thinking and to the joy of discovery. Graphing calculators allowed students to investigate quick solutions which should be regarded as stepping stones to additional investigation and rigorous proof. With slight modifications to their proofs,…
Descriptors: Calculators, Calculus, Computation, Discovery Learning
Peer reviewedMathematics Teacher, 1991
Presented are three methods to enrich the mathematics classroom. The first introduces an activity allowing students to discover the law of sines. The second gives eight distance-rate-time problems of value for their counterintuitive or elegant solutions. The third poses multiple answer questions that promote student interaction and communication.…
Descriptors: Algebra, Classroom Techniques, Discovery Learning, Learning Activities
Brumbaugh, Douglas K.; Rock, David – 2001
This book for future mathematics teachers emphasizes technology as a teaching tool; development of teachers who are self-motivated, lifelong learners; and pedagogical features that engage and motivate students. It includes examples and activities to enhance learning. Part 1, "General Fundamentals," includes (1) "Introduction"; (2) "Learning,…
Descriptors: Algebra, Calculus, Computer Uses in Education, Curriculum
