A new mathematics curriculum was used in this study which depended fundamentally on the use of computers and programing for presentation. The main part of the research was done with seventh grade children utilizing a programing language, LOGO, specifically designed for the teaching of mathematics. An investigation was also conducted with a group…

Computer programing and problem-solving steps in mathematics are viewed to have related concepts. Some heuristics are compared with some suggestions for structured programing. The one fundamental difference between problem solving in general and when using the computer is seen as the computer solution must be finite. The computer is viewed as a…

The view promoted is all children should have the opportunity to write and run computer programs, and instruction can begin in the first grade. Teaching mathematics is seen as involving 50 percent theory and 50 percent computing and computers can be involved with both aspects. (MP)

This paper merges state-of-the-art calculator technology with examples drawn from the Harvard Consortium Calculus Curriculum. A brief rationale for selection of the Harvard project and the TI-85 is provided, and four different mathematical situations are examined using different capabilities of the TI-85. Two short TI-85 programs are given.…

Material covers: (1) What Is a Mathematical Concept; (2) How are Mathematical Concepts Developed; (3) How Can Computers Help Children Learn Concepts; (4) Using Software; (5) Writing Programs; and (6) What Must We Do. Using software and writing programs are two very different experiences, but both can enhance concept development processes. (MP)

Instructional computing is defined, with reasons for making such computing available. A scenario of instructional computing activities is presented as an aid to stimulating visions of what might be possible. One program is given, plus suggestions for implementing computing activities. (MP)

Four goals of teaching for problem solving and the characteristics of microcomputers that could be used to further these goals are examined. The combination of an enthusiastic teacher and the new technology is expected to open up new vistas of possibilities for problem solving in the curriculum of the 1980's. (MP)

Provided is an overview and analysis of recent progress in applying electronic information technology to creation of new environments for intellectual work in mathematics. Describes the impact of numerical computation, graphic computation, symbolic computation, multiple representation of information, programing and information, and artificial…

The nature of "A Programing Language" (APL) is viewed as unambiguous, consistent, and powerful. It is based on the notion of functions as imperative verbs, and is used by a small but growing number of mathematicians and computer programers. Three areas of mathematical activity are addressed: calculation of arithmetic expressions,…

The microcomputer and microcomputer systems are viewed as offering a wealth of new opportunities for school mathematics programs, and provide an alternative to time-sharing in both cost and convenience. Four possible sources of suitable software are noted, and the following types of programs are discussed as useful for classroom work: (1) drill…

This student textbook is designed to incorporate programable calculators in grade 12 mathematics. The seven chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Sequences, Series, and Limits; (3) Iteration, Mathematical Induction, and the Binomial Theorem; (4) Applications of the Fundamental Counting Principle; (5)…

This document is a collection of reports presented at a programable calculator symposium held in Seattle, Washington, in April, 1980, as part of the annual meeting of the National Council of Teachers of Mathematics (NCTM). The session was designed to review whether the programable calculator has a place in the school mathematics program, in light…

This student textbook is designed to incorporate programable calculators in grade 11 mathematics. The eight chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Exponents and Logarithms; (3) Trigonometry of the Right Triangle; (4) Trigonometry Beyong the Right Triangle; (5) Graphs of the Trigonometric Functions and…

Provides two activities. Discusses the use of a computer and a calculator for the activities. Presents BASIC and LOGO program for finding Pythagorean triples. Seven references are listed. (YP)

The use of calculators and computers in the schools is promoted. It is stated that calculators should be used in the mathematics classroom as soon as basic operations are understood. A point is made that calculators are no greater a threat to "learning the fundamentals" than slide rules, which have been available for over 350 years. It is…