This book describes how teachers have taught students to behave like working mathematicians who conjecture and prove within a community of learners through the use of microcomputers and the "Geometric Supposers" software. The first section discusses the definition and importance of the conjecture, describes inquiry skills and understandings…

Discusses Newton's method for approximating the roots of functions, indicating that students who program in BASIC can learn and appreciate the method by writing their own programs. Includes a hypothetical dialogue between teacher and student about the topic; sample program listings; and problems assigned to students who have written programs. (JN)

The National Council of Teachers of Mathematics (NCTM) sponsored a conference which focused on topics and issues related to the impact of computing on school mathematics. Presented are guidelines/recommendations related to computing and: (1) the mathematics curriculum; (2) mathematics instruction; and (3) pre- and in-service components of…

Describes a system of computer assisted instruction geared primarily toward high school and university students involved in numerical analysis and optimization. Also describes (in detail) one of its modules to illustrate the general philosophy of the system. This module focuses on the simplex method. (JN)

Discusses personal experiences in using microcomputers to teach differential equations and calculus, including programs written for and activities in a year-long calculus sequence called Calculus and Computers. Suggests that computers and their graphics capabilities be used to provide a mathematical environment in which students can interact and…

Suggestions for using four-function calculators, programmable calculators, and microcomputers are considered in this collection of 36 articles. The first section contains articles considering general implications for mathematics curricula implied by the freedom calculators offer students from routine computation, enabling them to focus on results…

Presents three problems, each with a computer solution in BASIC programming language: (1) finding sum equals product for three-digit numbers; (2) finding cases of improper cancellation that give a correct answer; and (3) finding perfect numbers. Some suggestions for further investigation are included. (JN)

Promotes the use of the microcomputer in mathematics instruction, reviewing approaches to teaching nonlinear equations. Examples of computer diagrams are illustrated and compared to textbook samples. An example of a problem-solving program is included. (ML)

Reviews "Dueling Digits," an arcade-style computer game, in which the player creates mathematical equations. Discusses features of the program, educational value, design quality, documentation, and ease of use. Tested on Apple II/Apple II-Plus, the program (requiring 48K, disk drive and game paddles/joystick) is rated as an excellent…

Discusses uses of calculators and microcomputers in mathematics education with particular reference to their impact on the teaching and learning of mathematics in Hong Kong schools. Indicates that teacher training in software design and production is essential because of the lack of adequate, well-designed mathematics software. (Author/JN)

Discusses: (1) advantages of a computer lab; (2) types of computer programs that can help students develop computational, application, comprehension, and analytical skills; (3) how computers can help students with such affective goals as appreciation and motivation toward mathematics; and (4) content areas where computers can be useful. (JN)

A program for teaching "number sense" is suggested based on experiences in teaching numeracy to Papua New Guinean adults. Number sense starts out with some sort of "feel" about the size of a number and extends upwards to include any such mental arithmetical skills as can reasonably be incorporated in an appropriate program.…

Describes a computer-assisted instruction program designed to help teachers develop and maintain continuously updated diagnostic records of student achievement. Gives hardware requirements and describes the program's eight components. These include deleting/changing records and lists, a testing manager, list producer, and student record reviewer.…

Provides tips to help primary-aged students with computer keyboarding skills (suggesting the use of color codes and listing currently available software). Also describes (and lists) a program which helps test students' understanding of IF-THEN statements and illustrates some hazards of "spaghetti programming" (debugging). (JN)

Describes three games that one can play with or without a computer involving arithmetic, strategy, and problem solving techniques. Lists an abbreviated program for BASIC. Provides information on availability of the variable number game and the ARITHMETICULATOR which does calculations of large numbers and runs on IBM PCs. (RT)