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Clemens, Stanley R. – Mathematics Teacher, 1984
A problem-solving approach involving systematic experimentation, one of the most-used problem-solving strategies, is advocated since it is useful beyond mathematics problems. Examples of its use are given, with two problems explored and four others noted. (MNS)
Descriptors: Geometric Concepts, Learning Activities, Mathematics Instruction, Problem Sets
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Winter, M. J. – Mathematics Teacher, 1984
How to find and classify positive integral solutions to 1/a + 1/b = 1/c in beginning and advanced algebra classes is described. The computer finds the solutions, but students practice algebraic manipulation as they analyze the solutions for patterns. Extensions to challenge more capable students are included. (MNS)
Descriptors: Algebra, Computer Oriented Programs, Computer Programs, Integers
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Kunkle, Dan; Burch, Charles I., Jr. – Mathematics Teacher, 1984
Described is a software program with two components. One is muMATH, a package of functions that can perform a wide variety of symbolic manipulations. It is surrounded by, and written in, the accompanying language, muSIMP. A problem is described with a muMATH solution; another example uses the muSIMP language. (MNS)
Descriptors: Algebra, Computer Oriented Programs, Computer Programs, Functions (Mathematics)
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Shiflett, Ray C.; Shultz, Harris S. – Mathematics Teacher, 1984
How min-max problems can be solved with trigonometry and without calculus is described. (MNS)
Descriptors: Calculus, College Mathematics, Higher Education, Mathematics
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House, Peggy A. – Mathematics Teacher, 1983
Some alternatives available for meeting the needs of the mathematically gifted student at the secondary school level are examined. Along with curriculum modification are discussed such approaches as magnet programs, special schools, special classes, summer programs, and mentor programs. (MNS)
Descriptors: Academically Gifted, Delivery Systems, Gifted, Mathematical Enrichment
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Hope, Jack A.; Kelly, Ivan W. – Mathematics Teacher, 1983
Several common errors reflecting difficulties in probabilistic reasoning are identified, relating to ambiguity, previous outcomes, sampling, unusual events, and estimating. Knowledge of these mistakes and interpretations may help mathematics teachers understand the thought processes of their students. (MNS)
Descriptors: Cognitive Processes, Error Patterns, Learning Processes, Logical Thinking
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Markowitz, Lee M. – Mathematics Teacher, 1983
Variations on a card trick are noted, with a formula for generalizing them. Another trick which can be proved with algebraic principles is then presented. (MNS)
Descriptors: Algebra, Algorithms, Games, Learning Activities
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Cohen, Martin P. – Mathematics Teacher, 1983
Study of circular transformation and its associated properties is proposed as review and reinforcement of familiar concepts and for developing broader understanding of transformations. Inversion on a circle is discussed in some detail. (MNS)
Descriptors: Functions (Mathematics), Geometric Concepts, Geometry, Learning Activities
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Dickie, Paul G. – Mathematics Teacher, 1984
The needs of above-average junior high school students are discussed. A set of 'daily twisters,' or problems of various types, were collected, and examples are noted. Recommendations on content and pedagogy are described. (MNS)
Descriptors: Grade 7, Grade 8, High Achievement, Junior High School Students
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Frankenstein, Marilyn – Mathematics Teacher, 1984
Example of magic tricks that can be used as an integral part of various lessons in arithmetic and algebra are given. Their mathematical basis is also discussed. (MNS)
Descriptors: Algebra, Arithmetic, Elementary Secondary Education, Learning Activities
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Dunn, Ken A. – Mathematics Teacher, 1984
An application of transformation geometry to special relativity is described. No knowledge of physics is required, but the application uses transformation ideas in a nontrivial way. A comparison is given of reflections in the Euclidean and Minkowski (non-Euclidean) planes. (MNS)
Descriptors: Geometric Concepts, Geometry, Mathematical Applications, Mathematics
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Mathematics Teacher, 1984
Included in this section are brief articles on making up a story to explain a graph, the inverse of a function of a single variable, and exotic horse-race wagering and combinatorics. (MNS)
Descriptors: Algebra, Functions (Mathematics), Graphs, Learning Activities
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Swetz, Frank J. – Mathematics Teacher, 1984
Teachers can partially remedy misconceptions and anxiety about mathematics by incorporating a historical perspective into mathematics teaching. Numerous examples of how this can be done are presented, along with ideas illustrating the growth and evolution of mathematical ideas. (MNS)
Descriptors: Mathematical Enrichment, Mathematics Curriculum, Mathematics Education, Mathematics History
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Arndt, A. B. – Mathematics Teacher, 1983
Facts are given about the ninth-century Arab mathematician Al-Khwarizmi, from whose name the word algorithm is derived. His influence on algebra and arithmetic are discussed. (MNS)
Descriptors: Algebra, Algorithms, Arithmetic, Biographies
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Gordon, Jeffry; Gordon, Berchie – Mathematics Teacher, 1979
A nine-session mathematics conference for ninth graders is described. Guidelines for preparing such a conference are suggested. (MK)
Descriptors: Attitudes, Conferences, Mathematical Enrichment, Secondary Education
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