This book contains three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available math…

Discusses students' uses of certain programs, in contrast to writing them. Three programs are discussed: one on nonreal roots, one on dividing polynomials by quadratic polynomials, and one on "unfactoring." (MNS)

Three pieces of computer software are described and reviewed: HyperCard, to build and use varied applications; Iggy's Gnees, for problem solving with shapes in grades kindergarten-two; and Algebra Shop, for practicing skills and problem solving. (MNS)

Explores a particular method of searching for roots that lends itself well to discovery learning through writing a computer program. The teacher-student interaction is given, and two computer program listings are included. (MNS)

Formulas for use in computer programs are presented. Two programming applications are discussed: one to ballistics using inverse sine and one to hours of daylight using inverse cosine. (MNS)

Presented are instructions for activities in which a calculator is used to investigate algebraic concepts. Also presented are short computer programs involving topics taught in prealgebra and an activity in which a trapezoid is transformed into a circle. (JN)

An application of functions and their inverses is described--the coding and decoding of messages, or cryptographs. The helpfulness of computers is noted, with two programs listed. (MNS)

Stressed is a conceptual approach to absolute value, based on the visualization of the graphs of absolute-value equations. An important by-product is predicting a graph on the basis of certain constraints. Four worksheets plus teacher comments are included. (MNS)

Included in this section are brief articles on an algebraic puzzler, periodic decimal fractions with computers, and the arrow method of teaching logarithms. (MNS)

Presents a method for using matrix algebra and computers to encode and decode secret messages. Provides examples of coding procedures, a short review of matrix multiplication, and a BASIC program for use with secret messages containing up to 1000 numbers. (RT)

The main aim of this paper is to demonstrate that new and highly effective computer-based learning tools can be designed by adhering to a simple principle: Good learning tools conform to and support the processes and structures that comprise learning. The paper first discusses the processes involved in learning cognitive skills, then describes…

A programing approach is described, using numerical methods to draw implicit functions, without solving the relationships explicitly. Several examples are discussed, with programs and printouts included. (MNS)

Presents two lesson plans for use when introducing computerized spreadsheet programs to high school students and discusses behavioral objectives, necessary equipment, teacher preparation, and learning activities for each lesson. Student handouts for use with the lessons are included. (MBR)

The Optimizer in Quattro Pro and the Solver in Excel software programs make solving linear and nonlinear optimization problems feasible for business mathematics students. Proposes ways in which the Optimizer or Solver can be coaxed into solving systems of linear equations. (ASK)

Examples of relatively novel computer software environments from the representation perspective are described. Even more novel approaches to curriculum reform to cultivate higher-order thinking skills are then discussed. (MNS)