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Jackson, Michael B.; Phillips, E. Ray – Journal for Research in Mathematics Education, 1983
One group of 111 seventh-grade students completed vocabulary-oriented activities for four weeks, while 102 students received similar instruction with no vocabulary-oriented activities. The activities appeared to enhance achievement by improving students' comprehension. (MNS)
Descriptors: Educational Research, Grade 7, Mathematical Vocabulary, Mathematics Instruction
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Sipser, Kenneth – Mathematics and Computer Education, 1983
Almost-Regular Polygons (ARPs) are viewed as interesting, but hardly ever noticed. The growing availability of computers means that such figures can be examined. A program written in BASIC which was developed to generate and test large blocks of cases is presented and described. (MP)
Descriptors: College Mathematics, Computer Programs, Geometric Concepts, Geometric Constructions
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Harris, Whitney S., Jr. – Mathematics Teacher, 1983
The nature of the corner reflector array left on the moon by the July 1969 Apollo astronauts is described. The array was used to reflect earth-originating laser beams back to earth, and yielded a more accurate determination (to within six inches) of distance from the earth to the moon. (MP)
Descriptors: Geometric Concepts, Geometry, Mathematical Applications, Mathematical Enrichment
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Johnson, Marvin L. – Mathematics Teacher, 1983
Good writing is seen as part of the problem-solving process and a device that can stimulate creative thought in students. Many ways of helping pupils use and refine writing skills in a mathematical context are discussed. It is felt teachers of mathematics need to see students' use of such skills. (MP)
Descriptors: Mathematics Education, Mathematics Instruction, Problem Solving, Secondary Education
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Palmaccio, Richard J. – Mathematics Teacher, 1983
Details of how observers on a moving ship can furnish an accurate report of wind velocity are provided. A method employing vector addition and some trigonometry is covered. Wind velocity is initially indicated through an anemometer and a wind vane. Ships are urged to radio weather data. (MP)
Descriptors: Computer Programs, Equations (Mathematics), Mathematical Applications, Mathematical Concepts
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Mathematics Teacher, 1983
The first presentation discusses a way of teaching second-year algebra students that the harmonic series diverges, and notes some issues in instruction on the concept of limit. A second item describes an approach to a warm-up drill claimed to be painless to construct and self-checking. (MP)
Descriptors: Algebra, Basic Skills, Drills (Practice), Instruction
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Iannone, Michael A. – Mathematics Teacher, 1983
Presented is a computer program written in BASIC that covers round-robin schedules for team matches in competitions. The program was originally created to help teams in a tennis league play one match against every other team. Part of the creation of the program involved use of modulo arithmetic. (MP)
Descriptors: Computer Programs, Instruction, Mathematical Applications, Mathematical Concepts
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Smith, Betsy Darken – Mathematics Teacher, 1983
It is noted that all graphs of cubic equations are symmetric about their inflection points. This is proven through the use of some calculus and the fundamental theorem of algebra. A table sums up the nature of symmetry for polynomials of any degree. (MP)
Descriptors: Calculus, College Mathematics, Equations (Mathematics), Graphs
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Cooper, Martin – Australian Mathematics Teacher, 1982
The material examines aspects of Fibonacci and Lucas sequences, the generation of the Divine Ratio, and the nature of this ratio in golden rectangles, triangles, and figures made up of golden triangles. It is noted Lucas sequence is formed like Fibonacci but has one and three as the first elements. (Author/MP)
Descriptors: College Mathematics, Geometric Concepts, Higher Education, Mathematical Enrichment
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Koetke, Walter – Mathematics Teacher, 1983
Seven applications problems are presented for gifted students to solve by writing microcomputer programs. (MNS)
Descriptors: Academically Gifted, Computers, Gifted, Mathematical Applications
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Milton, J. Susan; Corbet, James J. – Mathematics Teacher, 1982
The game of Yahtzee is analyzed to some extent through methods of elementary probability. Several different problems are posed, and these serve to illustrate both mathematical concerns and game play strategy. Solutions are provided to all questions at the conclusion and suggestions for further questions are presented. (MP)
Descriptors: Educational Games, Games, Mathematical Applications, Mathematical Enrichment
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Mathematics Teacher, 1982
The first idea discusses the use of Pascal's triangle to discover the total number of gifts presented during the 12 days of Christmas. The second idea looks at an approach to viewing L'Hospital's rule that is geared toward helping beginning calculus students develop a feeling as to why it works. (MP)
Descriptors: Calculus, Discovery Learning, Instruction, Mathematical Concepts
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Moore, Charles G. – Mathematics Teacher, 1983
This discussion deals with the question, are there integral rectangles such that a box of maximum volume is obtained by removing an integral-sided square from each corner? An equation to solve the problem is generated and a table of values presented. The material appears suitable for beginning calculus students. (MP)
Descriptors: Calculus, Equations (Mathematics), Geometric Concepts, Mathematical Applications
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Watson, Jane M. – Australian Mathematics Teacher, 1982
The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)
Descriptors: Computer Assisted Instruction, Computer Graphics, Computer Programs, Geometric Concepts
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Kissane, Barry V. – Australian Mathematics Teacher, 1982
Details of an instructor's attempt to solve a problem in combinatorics taken from a textbook used by some of his students are presented. It is felt the material raises a number of significant points about problem solving and mathematics. Teachers are encouraged to put themselves in such situations. (MP)
Descriptors: College Mathematics, Equations (Mathematics), Higher Education, Mathematics Instruction
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