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Mathematics Teacher | 78 |

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Hirstein, James J. | 2 |

House, Peggy A. | 2 |

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Olson, Melfried | 2 |

Roberti, Joseph V. | 2 |

Swetz, Frank J. | 2 |

Allinger, Glenn D. | 1 |

Archer, J. Andrew | 1 |

Arndt, A. B. | 1 |

Austin, Joe Dan | 1 |

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Peer reviewed

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

Peer reviewed

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

Peer reviewed

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)

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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