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Peer reviewedBrumfiel, Charles – Mathematics Teacher, 1974
A classic problem involving the "misuse" of mathematical induction is presented. The error in the "proof" is then exposed. The generalization of this problem is presented as a false theorem which should serve to highlight the error. (LS)
Descriptors: College Mathematics, Instruction, Mathematical Concepts, Mathematics Education
Peer reviewedPriest, Dean B.; Wood, Dianne D. – Mathematics Teacher, 1976
Graphs of exotic functions which can be defined using algebraic operations are discussed. (SD)
Descriptors: Algebra, College Mathematics, Graphs, Inequalities
Peer reviewedRanucci, Ernest R. – Mathematics Teacher, 1978
This discussion of the accomplishments of Buckminster Fuller describes the geodesic dome, the Dymaxion principle and its applications, and the Octet-Truss principle. (MP)
Descriptors: College Mathematics, Geometry, Inventions, Mathematical Applications
Peer reviewedGoff, Gerald K. – Mathematics Teacher, 1977
An unusual mathematics problem involving two buckets, each of a different capacity, is discussed and analyzed. (JT)
Descriptors: College Mathematics, Higher Education, Mathematical Experience, Mathematics
Peer reviewedConnors, Edward A. – Mathematics Teacher, 1986
Why the term precalculus was introduced is first noted. Then five reasons why it should be eliminated are given, focusing on the points that it is vague, misleading, and misused. (MNS)
Descriptors: College Mathematics, Editorials, Higher Education, Mathematical Vocabulary
Peer reviewedChisko, Ann M.; Davis, Lynn K. – Mathematics Teacher, 1986
A noncredit course in a workshop format is described, with sessions focusing on recognizing and defining problems; organizing information and using modeling techniques; analyzing data, recognizing trends, and making decisions; being flexible and thinking creatively; and generalizing and consolidating. (MNS)
Descriptors: Cognitive Processes, College Mathematics, Course Descriptions, Higher Education
Peer reviewedHart, Eric W. – Mathematics Teacher, 1985
Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)
Descriptors: Algorithms, College Mathematics, Higher Education, Mathematics Curriculum
Peer reviewedAlexander, Robert D. – Mathematics Teacher, 1976
This article investigates the transformations which result when all variables and constants in given functions are allowed to be complex numbers. (DT)
Descriptors: Algebra, College Mathematics, Elementary Secondary Education, Higher Education
Peer reviewedNoether, Gottfried E. – Mathematics Teacher, 1974
Descriptors: College Mathematics, Curriculum, Instruction, Mathematics Education
Peer reviewedLenz, Jerry – Mathematics Teacher, 1973
A college course using science fiction literature as a springboard into the study of geometries is described. (DT)
Descriptors: College Mathematics, Course Descriptions, Curriculum, Geometry
Peer reviewedEggan, Lawrence C. – Mathematics Teacher, 1971
Descriptors: Analytic Geometry, College Mathematics, Geometry, Grade 12
Peer reviewedMayes, Vivienne; And Others – Mathematics Teacher, 1977
The organization and evaluation of a self-paced audio-tutorial precalculus course are described. (DT)
Descriptors: College Mathematics, Course Descriptions, Curriculum, Higher Education
Peer reviewedStover, Donald W. – Mathematics Teacher, 1977
A transformation technique for graphing is described. (DT)
Descriptors: Calculus, College Mathematics, Graphs, Higher Education
Peer reviewedDeTemple, Duane W. – Mathematics Teacher, 1989
Discussed are two Euclidean constructions (synthetic approach and coordinate method) to inscribe regular polygons of 5 and 17 sides in a circle. Each step of the constructions is described using diagrams and mathematical expressions. (YP)
Descriptors: College Mathematics, Equations (Mathematics), Geometric Constructions, Geometry
Peer reviewedMurphy, Tricia – Mathematics Teacher, 1999
Describes teacher and student experiences in a college algebra course at a high school when assessment practices changed. (ASK)
Descriptors: Algebra, College Mathematics, High Schools, Mathematics Activities
