Designed to improve students' thinking, learning, and creative skills while they learn to program a microcomputer in BASIC programing language, this book for intermediate learners at the elementary school level provides a variety of microcomputer activities designed to extend the concepts learned in accompanying instructional manuals (Volumes 3…

Designed to improve students' thinking, learning, and creative skills while they learn to program a microcomputer in BASIC programing language, this book for advanced learners at the junior high level provides a variety of microcomputer activities designed to extend the concepts learned in the accompanying instructional manuals (volumes 5 and 6).…

This teacher developed case study which surveys the meteoric rise of the McDonald's Corporation and that of its chief promoter, Ray Kroc, is intended to help secondary students develop an understanding of economics and of the decision-making process. A teacher's guide containing questions for discussion and suggestions for class activities is…

This module applies linear algebraic methods to solve the following problem: If an object in a three-dimensional coordinate system is first rotated about a given axis through the origin by a given angle, and then rotated about another axis through the origin by another angle, there is a straightforward way to calculate the combined result of the…

It is noted that with the prominence of computers in today's technological society, digital communication systems have become widely used in a variety of applications. Some of the problems that arise in digital communications systems are described. This unit presents the problem of correcting errors in such systems. Error correcting codes are…

Applied mathematics is seen often to involve the solution of single equations or systems of equations. A particular technique for solving equations in the context of functions on the real line is examined. This technique includes an iterative process, which is viewed as an algorithm that can be implemented readily on inexpensive and widely…

This module is designed to apply mathematical models to nuclear deterrent problems, and to aid users in developing enlightened skepticism about the use of linear models in stability analyses and long-term predictions. An attempt is made at avoiding overwhelming complexities through concentration on land-based missile forces. It is noted that after…

Two units make up this material. They focus on applications of second-order difference equations to American politics. The goals of the first module include helping the user understand: 1) the difference between a theoretical construct and an observable; 2) the nature of choices which exist in modeling any particular empirical phenomenon; and 3)…

This document consists of two major sections. The first of these is actually three units that look at applications of arithmetic to business. Basic pre-algebra mathematics is an assumed prerequisite. These units are titled: 367-The Real Numbers; 368-Fractions and Their Uses: Ratio and Proportion; and 369-Exponents: Powers and Roots. Each module…

This material contains two units which view applications of computer science. The first of these examines Horner's scheme; and is designed to instruct the user on how to apply both this scheme and related algorithms. The second unit aims for student understanding of standard bisection, secant, and Newton methods of root finding and appreciation of…

This collection of material is designed to illustrate the nature and variety of the idea of proof in mathematics. It is intended to be a "background book" for the use of teachers, particularly those in initial training courses. Individual chapter titles are: (1) The Role of Proof in Mathematics; (2) Logical Reasoning: The Idea of Implication; (3)…

This textbook/workbook for secondary school students is designed to stimulate inventive problem solving of future world problems. It is organized into four units and contains 23 lessons. Unit I defines the nature of the course and provides methods for stating and defining problems, brainstorming, working in groups, and judging ideas. Unit II…

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 curriculum program is intended to promote the development of primary grade children's ability to think. A number of learning activities or tasks are presented along with the teaching strategy to be used in implementing them. The first part of the book describes aspects of the teaching strategy, including selecting activities, preparing for…

The document provides lesson plans for strengthening the thought processes, including problem solving and creative abilities, of first and second grade mentally gifted children. The lessons are organized within the five operations of the mind as defined by J. Guilford's Structure of Intellect (SOI): cognition (10 lessons), memory (3 lessons),…