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Zarzycki, Piotr – Primus, 1992
Presents eight techniques for teaching undergraduate mathematics whose main aims are (1) learning how to pose problems in an easier and more attractive form; (2) fostering usage of mathematical symbolism; and (3) checking the level of comprehension of the principal ideas. Examples illustrate each technique. (Author/MDH)
Descriptors: Competition, Elementary Secondary Education, Enrichment Activities, Higher Education
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Reiter, Clifford A. – Primus, 1992
Computational environments that provide integrated numeric, symbolic, and graphical capabilities provide new opportunities for laboratories in Numerical Analysis. Hermite interpolation is one topic that can benefit from such an environment. Describes a laboratory session using Mathematica that allows students to actively experience Hermite…
Descriptors: College Mathematics, Computer Assisted Instruction, Discovery Learning, Estimation (Mathematics)
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Francis, Richard L. – Primus, 1992
Examines infinite sets and cardinality classifications of empty, finite but not empty, and infinite through discussions of numbers that fall into particular categories. Categories discussed include perfect numbers, Mersenne primes, pseudoprimes, and transcendental numbers. Discusses the Null Or Infinite Set Effect (NOISE) and infinitude resulting…
Descriptors: College Mathematics, Higher Education, Learning Activities, Mathematical Concepts
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Hilbert, Stephen; And Others – Primus, 1993
Discusses a pedagogical approach to calculus based on the question: What kinds of problems should students be able to solve? Includes a discussion of types of problems and curriculum threads for such a course. Describes a projects-based calculus with examples of projects and classroom activities. (Author/MDH)
Descriptors: Calculus, Class Activities, College Mathematics, Higher Education
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Keith, Sandra Z.; Cimperman, Janis M. – Primus, 1992
Presents a method of transforming 15 mathematics students' questions expressing confusion and frustration into activities that (1) engage the hidden meaning behind the question; (2) open the dialog with students, and (3) provide a chance to interact with students on crucial issues of what is at stake in learning mathematics. (MDH)
Descriptors: Classroom Communication, Content Area Writing, Heuristics, Higher Education
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Rishel, Thomas W. – Primus, 1991
Describes unusual mathematical assignments and writing methods utilized in college geometry classes for students with little or no geometric background. Includes a bibliography of 51 source books suggested for use by students enrolled in these courses. (JJK)
Descriptors: Classroom Techniques, College Mathematics, Content Area Writing, Geometric Concepts
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Lutzer, Carl V. – Primus, 2001
Describes an activity designed to help students develop a good foundation from the beginning of the transition from multivariate calculus to linear algebra. (MM)
Descriptors: Calculus, Higher Education, Learning Activities, Mathematics Education