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Usiskin, Zalman – Mathematics Teacher, 1974
The possibility of non-transitivity of preference choices is discussed. One example each from voting and from sports demonstrate some conditions where transitivity does not hold. Suggestions are made for using this type of problem in the classroom. (LS)
Descriptors: Instruction, Mathematical Applications, Mathematical Enrichment, Mathematics Education
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Usiskin, Zalman – Mathematics Teacher, 1983
Enrichment activities that teach about geometry as they instruct in geometry are given for some significant topics. The facets of geometry included are tessellations, round robin tournaments, geometric theorems on triangles, and connections between geometry and complex numbers. (MNS)
Descriptors: Academically Gifted, Geometric Concepts, Geometry, Gifted
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Usiskin, Zalman – Mathematics Teacher, 1987
Argues that first-year algebra should be taught in eighth grade. Outlines an algebra course that could provide average students with a working kowledge of algebra. Proposes that this would require students to have experiences with variables, equations, formulas, and graphs during previous years of study. (TW)
Descriptors: Algebra, Background, Course Content, Foreign Countries
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Usiskin, Zalman – Mathematics Teacher, 1975
Descriptors: Algebra, Instruction, Mathematical Applications, Number Concepts
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Usiskin, Zalman – Mathematics Teacher, 1980
The author argues against some topics included in the standard high school mathematics curriculum, including traditional algebraic word problems, trinomial factoring, complicated fractional expressions, and some geometric theorems and proofs. (MP)
Descriptors: Algebra, College Preparation, Geometry, Mathematics Curriculum
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Usiskin, Zalman – Mathematics Teacher, 1977
A series of interesting mathematical applications for the greatest integer function are presented. (JT)
Descriptors: Algebra, College Mathematics, Instruction, Integers
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Usiskin, Zalman – Mathematics Teacher, 1975
In this article, a continuation of SE 513 148, the author presents seven additional applications of group theory to high school mathematics. These applications can be used, not only to illustrate the group concept, but also to extend the development of ideas in the high school curriculum. (SD)
Descriptors: Algebra, Geometry, Instruction, Mathematical Applications