The rebirth of geometry is predicted in the coming years as the pendulum swings back from extreme devotion to structure, abstraction, and generality. (MP)

The constituents of a sound mathematics education and ways to deal with the current situation of "mathophobic adults" are covered. Specific proposals related to precollege and continuing education are presented. (MP)

The article includes a short history of polygonal numbers, a method for finding the root of a polygonal number, and suggestions for using polygonal numbers in the classroom. (MK)

Examples of opportunities for undergraduate students to engage in mathematical research are demonstrated. All examples are partition identities. (MK)

Describes a number sequence made by counting the occurrence of each digit from 9 to 0, catenating this count with the digit, and joining these numeric strings to form a new term. Presents a computer-aided proof and an analytic proof of the sequence; compares these two methods of proof. (YP)

Describes a five-step graphing method for various trigonometric periodic functions. Emphases is on teaching constants and functions. (YP)

Discusses a calculation method to approximate pi. Describes how to get an approximation to the circumscribed and inscribed perimeters of regular polygons of n sides. Presents the computer program and result of the approximation. (YP)

Provides an overview of a course, "Applied Linear Algebra," for teaching the concepts and the physical and geometric interpretations of some linear algebra topics. Describes the philosophy of the course, the computer project assignments, and student feedback. Major topics of the course are listed. (YP)

This paper is devoted to the relationship between mathematics and the social use of mathematics. Discussion includes definition of technology, examples of technology, technology in school mathematics and mathematics of social practice. (DC)

Describes the understanding, nature, and meaning of mathematical culture and the implications of mathematical culture for mathematics education. (YP)

This paper compliments two recent articles by the author in this journal concerning solving the forced harmonic oscillator equation when the forcing is periodic. The idea is to replace the forcing function by its Fourier series and solve the differential equation term-by-term. Herein the convergence of such series solutions is investigated when…

This teacher's guide contains nine topics in number theory. Suggested questions for the teacher, short investigations, and possible exercises for the student are included. Chapter 1 is an introduction to sequences and series using geoboard activities involving triangular numbers, square numbers, rectangular numbers, and pentagonal numbers. The…

This teacher's guide to probability and statistics contains three major sections. The first section on elementary combinatorial principles includes activities, student problems, and suggested teaching procedures for the multiplication principle, permutations, and combinations. Section two develops an intuitive approach to probability through…

The report presents a summary of a mathematics project involving a system of individualized, laboratory and classroom instruction techniques for occupational and developmental college students. Continual diagnosis of student learning difficulties, flexible prescriptions of activities, and continual evaluation of student progress are incorporated…

The target point for the cue ball in a simplified game of billiards is computed through the use of line reflections and computations with complex numbers. (JT)