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 the use of Logo tools, spinners, dice, and coins for creating and understanding probability. Gives procedures for devising a spinner board and other necessary functions for performing the activity. Presents ideas for extending the experiment. (RT)

This book attempts to survey some of the current issues of mathematics teaching in elementary schools in Great Britain. Chapter one is an introduction to the material while chapters two and three examine recent reports and suggestions for change and discuss the place of mathematics in the elementary curriculum. Chapter four is devoted to an…

This monograph is intended to be a practical introduction to computers for K-12 mathematics teachers, describing and illustrating ways in which computer technology can be used in the teaching of mathematics. It is organized according to the major ways computers are used in classrooms, and includes activities with suggested lesson outlines, BASIC…

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)

Demonstrates how the uniqueness and anonymity of a student's Social Security number can be utilized to create individualized polynomial equations that students can investigate using computers or graphing calculators. Students write reports of their efforts to find and classify all real roots of their equation. (MDH)

APL was invented specifically as a mathematical teaching tool, and is an excellent vehicle for teaching mathematical concepts using computers. This article illustrates the use of APL in teaching many different topics in mathematics, including logic, set theory, functions, statistics, linear algebra, and matrices. (MNS)

The relation between mathematical and computational aspects of recursion are discussed and some examples analyzed. Definition, proof, and construction are considered, as well as their counterparts in computer languages (illustrated with Logo procedures). (MNS)

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…

Describes a graphical method of approximating roots of complex functions that uses the multicolor display capabilities of microcomputers. Theorems and proofs are presented that illustrate the method, and uses in undergraduate mathematics courses are suggested, including numerical analysis and complex variables. (six references) (LRW)

An Apple LOGO program is provided which results in the creation of a cat's face. Discusses program commands, indicating that, although they are never mentioned, various mathematical/geometrical concepts are involved. Indicates that LOGO provides an environment where one can play comfortably with these basic concepts. (JN)

Several major factors must be considered when developing or assessing tutorial microcomputer software for mathematics instruction. Both learning considerations and curriculum considerations are discussed in some detail. (MNS)

This book is organized in 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…

Use of the computer program "Integrate Using Definition" can help students develop understanding of integral. Several applications of the program are discussed. (MNS)

This document is the sixth of seven units developed by the Math Network Curriculum Project. Each unit, designed to be a 2-week module, is a teacher's guide which includes detailed directions along with the courseware and software needed. Teacher intervention in the non-computer activities that begin each unit is required, and the consistent use of…