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Berger, Marcel – American Mathematical Monthly, 1990
Discussed are the idea, examples, problems, and applications of convexity. Topics include historical examples, definitions, the John-Loewner ellipsoid, convex functions, polytopes, the algebraic operation of duality and addition, and topology of convex bodies. (KR)
Descriptors: Algebra, College Mathematics, Functions (Mathematics), Geometry
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Miller, William A. – Mathematics Teacher, 1990
Presented is a lesson in which the patterns that occur within and between sequences of polygonal numbers present an opportunity for students to analyze, represent, and generalize relationships. Materials, objectives, levels, and directions for this activity are discussed. Worksheets to accompany the activities are provided. (CW)
Descriptors: Algebra, Functions (Mathematics), Geometry, Mathematical Applications
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Brown, Catherine A.; And Others – Mathematics Teacher, 1988
Reports on the seventh grade and eleventh grade results of the fourth mathematics assessment of the National Assessment of Educational Progress. Addresses students' performance on variables and relations, geometry, fundamental methods of mathematics, and attitudes. (PK)
Descriptors: Educational Assessment, Equations (Mathematics), Functions (Mathematics), Geometric Concepts
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Halmos, Paul R. – American Mathematical Monthly, 1990
Reported is whether and how mathematics has changed during the 75 years of the Mathematical Association of America's (MAA) existence. The progress of mathematics is organized into 9 concepts, 2 explosions, and 11 developments. (KR)
Descriptors: Calculus, Chaos Theory, College Mathematics, Computer Science
Cetorelli, Nancy; And Others – 1987
The purpose of this project is to help teachers of mathematics use the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, each including homework…
Descriptors: Computer Assisted Instruction, Computer Software Reviews, Courseware, Equations (Mathematics)
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Minch, Bradley A. – Journal of Computers in Mathematics and Science Teaching, 1987
Presents an easy-to-use Applesoft BASIC program that graphs rational functions and any asymptotes that the functions might have. Discusses the nature of rational functions, graphing them manually, employing a computer to graph rational functions, and describes how the program works. (TW)
Descriptors: Analytic Geometry, Calculus, College Mathematics, Computer Assisted Instruction
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Dugdale, Sharon – Journal of Mathematical Behavior, 1990
The third in a series of 3 articles, a study of 30 students was conducted to test the effect of restructuring a unit on trigonometric identities around microcomputer activities based on the themes of educational undercurrents identified in Part II. Experimental-group students scored significantly higher relating trigonometric functions to their…
Descriptors: Analytic Geometry, Computer Assisted Instruction, Computer Software, Discovery Learning