Describes a research-based analytical framework for motivation, activity, learning, and attribution to exam classroom management issues in student-centered instruction. Reviews research in classroom management for university and college-level classrooms. Describes the research base for the framework. (Contains 88 citations.) (Author/KHR)

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)

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…

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…

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)

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)

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)

Computer labs using Calculus T/L were introduced into Calculus I classes at Christopher Newport University. A description of the labs, the instructor's experiences in using the labs, and student reactions are detailed. Contains instructions for Lab I involving inputting functions, finding difference quotients, and sketching a graph. (Author/MDH)

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)

Describes an activity designed to help students develop a good foundation from the beginning of the transition from multivariate calculus to linear algebra. (MM)