An example is given of a lesson that mixes the manipulative skills of algebra with some problems and concepts of calculus; namely, the determination of tangent lines and extrema using synthetic division. (MP)

An example is given of a problem-solving approach by outlining the development of a generalization of the Pythagorean Theorem as applied to points on a unit circle. (MP)

Basic statistical concepts are discussed, steps for generating data having any desired correlation are outlined, and a flowchart, a BASIC computer program, and sample results are provided. (DT)

An approach to differentiation is illustrated. (DT)

A geometric method for constructing one infinite geometric series is described. The unit of the sum of the series is analyzed, and the behavior of the sum near two points is studied. (DT)

The necessity for instruction in mathematical logic is discussed, and an outline of topics covered in a course on logic at the community college level is presented. (DT)

Euler's famous formula, e to the (i, pi) power equals -1, is developed by a purely algebraic method that avoids the use of both trigonometry and calculus. A heuristic outline is given followed by the rigorous theory. Pedagogical considerations for classroom presentation are suggested. (LS)

Six films produced by the College Geometry Project at the University of Minnesota are reviewed; titles of six others are listed. (DT)

Two questions are dealt with: (1) Can those strategies or behaviors which enable experts to solve problems well be characterized, and (2) Can students be trained to use such strategies? A problem-solving course for college students is described and the model on which the course is based is outlined in an attempt to answer these questions. The…

This mathematics peer-tutoring program offers students an opportunity to seek help with specific mathematical difficulties from peer-tutors. The program is designed to free faculty to offer outside-of-class help to students who are experiencing extreme difficulty in understanding concepts. In addition, the tutors are available to offer help during…

The purpose of this study was to show how the concept of vector space can serve as a unifying thread for mathematics programs--elementary school to pre-calculus college level mathematics. Indicated are a number of opportunities to demonstrate how emphasis upon the vector space structure can enhance the organization of the mathematics curriculum.…

Reported is a study of the use of instructional blocks in college freshman mathematics courses. The first year of the project, one course was organized to have three large group lectures per week and one small group tutorial session per week. In addition, help sessions were made available. Problem materials were developed in connection with text…