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Dorée, Suzanne Ingrid – PRIMUS, 2017

How can we teach inquiry? In this paper, I offer practical techniques for teaching inquiry effectively using activities built from routine textbook exercises with minimal advanced preparation, including rephrasing exercises as questions, creating activities that inspire students to make conjectures, and asking for counterexamples to reasonable,…

Descriptors: Inquiry, Mathematics Instruction, Learning Activities, Problem Solving

Peer reviewed

DeLong, Matthew; Winter, Dale – Primus, 1998

Identifies and analyzes some recurrent problems with the implementation of cooperative and active learning strategies. Addresses the use of questions, management of instructor-centered activities, management of in-class group activities, and relinquishing forms of control in the classroom. (Author/ASK)

Descriptors: Active Learning, Classroom Techniques, Cooperative Learning, Elementary Secondary Education

Peer reviewed

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

Peer reviewed

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)

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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

Peer reviewed

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