This article describes a way in which the computer can be used by students in exploring patterns and solving problems associated with number theory. BASIC programs are described, along with classroom questions and procedures that aid in implementation. (Author/KR)

This paper provides guidelines and programming commands for using LogoWriter activity cards in game-writing as a way to develop student programming skills. Suggestions are made for the specific activity cards to use, and solutions are provided for some of the problems that were most frequently encountered by the author's students as they worked on…

Described are activities in the study of techniques used to conceal the meanings of messages and data. Some background information and two BASIC programs that illustrate the algorithms used in a new cryptographic system called "public-key cryptography" are included. (CW)

Described is a strategy that allows students to experiment with probability without applying formulas to solve problems. Students are able to intuitively develop concepts of probability before formal definitions and properties. Sample problems are included along with BASIC programs for some of the problems. (KR)

Discusses a problem involving probability and uncertainty that students can investigate experimentally or theoretically and transforms the problem to a two-player game so that students can be introduced to some fundamental concepts of decision making. Includes computer programs used to analyze the problems. (MKR)

Presents 12 problems for students to investigate the relationships involving properties of numbers by using BASIC language. (YP)

Over the past 10 years, national conferences and committees investigating the state of American mathematics education have advocated an increased emphasis on problem solving and mathematical modeling situations in the secondary school curriculum. However, little effort has been made to prepare secondary school teachers to use mathematical modeling…

Described is a research-based instructional technique for teaching analogical reasoning by the use of guided LOGO programing activities. An example worksheet is provided illustrating the use of the Sternberg's four-step analogical reasoning technique (encode, infer, map, and apply) with LOGO programs. (Author/MDH)

Discusses the process of mathematical iteration, its benefits as a problem-solving technique, and how to teach it. Presents a selection of mathematical ideas and problems that can be solved and explored using iteration, along with related BASIC computer programs. (MDH)

A mult tile is a set of polygons each of which can be dissected into smaller polygons similar to the original set of polygons. Using a recursive LOGO method that requires solutions to various geometry and trigonometry problems, dissections of mult tiles are carried out repeatedly to produce tile patterns. (MDH)

The objective of this presentation is to focus on the use of a hand-held graphics calculator. The specific machine referred to in this monograph is the Casio fx-7000G, chosen because of its low cost, its large viewing screen, its versatility, and its simple operation. Sections include: (1) "Basic Operations with the Casio fx-7000G"; (2) "Graphical…

P-adic or g-adic sets are sets of elements formed by linear combinations of powers of p, a prime number, or g, a counting number, where the coefficients are whole numbers less than p or g. Discusses exercises illustrating basic numerical operations for p-adic and g-adic sets. Provides BASIC computer programs to verify the solutions. (MDH)

Described is a mathematics resource laboratory where students use a variety of computer materials to enhance, reinforce, and broaden their concepts of first- and second-year algebra and geometry. Included are sample laboratory sheets and the answers. (KR)

Describes an interactive problem-solving videodisc program designed for the middle schools. Explains the interdisciplinary nature of the program that includes information from astronomy, geology, history, and meteorology. Contends that the product is an excellent example of well-designed educational software. (CFR)

Described is a learning activity which incorporates computer programing and the teaching of arrays. Using the newspaper as a source for ideas for programing assignments and classroom examples is emphasized. (KR)