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Rosenthal, Bill – Primus, 1992
Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…
Descriptors: Calculus, College Mathematics, Discovery Learning, Experiential Learning
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Castro, James – Primus, 1991
Describes several techniques that have been used in a variety of college mathematics classes to shift the classroom experience from instructor-centered to student-centered. Discusses specific applications of these techniques to remedial mathematics, precalculus, liberal arts mathematics, calculus, and geometry classroom settings. (40 references)…
Descriptors: Classroom Techniques, College Mathematics, Content Area Writing, Cooperative Learning
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Cherkas, Barry M. – Primus, 1992
Emphasizes, and illustrates with examples, the importance of taking classroom time to rectify incorrect student thinking by immediately undoing, or unraveling, students' misconceptions, errors, or misapplications. When this process is cultivated without a judgmental attitude on the part of the teacher, students' confidence is inspired and…
Descriptors: Classroom Techniques, Error Correction, Feedback, Learning Strategies
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Bernhardt, Robert L.; And Others – Primus, 1992
Describes the duties and attitudes of graduate teaching assistants who participated in a mentoring program, as well as the assessment of this program, which was instituted as a supervisory alternative to the lecture/recitation program through which graduate teaching assistants have traditionally accumulated the accreditation requirement to teach…
Descriptors: College Mathematics, Higher Education, Mathematics Education, Mathematics Instruction
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Malyshev, I.; Feldman, L. – PRIMUS, 1991
Discussed is the method of substitution of variables within the framework of precalculus level extremum problems, both maximum and minimum. Many examples with graphical representations are provided. (JJK)
Descriptors: Calculus, College Mathematics, Graphs, Higher Education
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Myers, Nadine C. – Primus, 1993
This paper describes the use of cooperative groups in teaching calculus. It discusses benefits and drawbacks of group techniques and presents reactions from both students and the author. (Author)
Descriptors: Calculus, Cooperation, Cooperative Learning, Educational Change
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Haws, LaDawn – Primus, 1992
Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)
Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Enrichment Activities
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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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de Alwis, Tilak – Primus, 1992
Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)
Descriptors: Calculus, College Mathematics, Estimation (Mathematics), 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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Gorini, Catherine A. – Primus, 1991
Describes the collegewide academic program at Maharishi International University that incorporates speaking and writing into the undergraduate curriculum. The impact of the key features of this successful program upon the mathematics curriculum are discussed in detail. (JJK)
Descriptors: Classroom Techniques, College Mathematics, Content Area Writing, Curriculum Evaluation
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Myers, Nadine C. – Primus, 1991
Describes an intermediate level, college geometry course that is designated as both writing and speaking intensive. Suggests methods that utilize writing and speaking activities to enhance student learning, and discusses student reactions to the course. (nine references) (JJK)
Descriptors: Classroom Techniques, College Mathematics, Content Area Writing, Cooperative Learning
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Fausett, Laurene V.; Knoll, Cecilia – Primus, 1991
Compares the effectiveness of four different calculus instructional formats based on quantitative measures of student performance, adjusted for differences in student preparation for calculus. Student performance is shown to improve when instruction is presented in a format with faculty involvement. (nine references) (JJK)
Descriptors: Calculus, Classroom Techniques, College Mathematics, Comparative Analysis
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Mathews, Susann M. – Primus, 1991
Describes the mechanics of group work in the college mathematics classroom specifically group formation, preliminary class work, class and group discourse, individual and group assignments, and impact on test taking. Includes examples from a first-semester calculus course. (JJK)
Descriptors: Calculus, Cheating, Classroom Techniques, College Mathematics
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