This book is about playing with mathematics, teaching: (1) How to multiply and divide large numbers mentally; (2) Making addition and subtraction easy; (3) Tricks for understanding fractions and decimals; and (4) How to quickly check answers for each calculation. Described as a foolproof way to do multiplication, division, factoring estimating,…

An examination of a student question concerning a calculus problem leads to a discussion of some of the symmetric properties of a specific set of polynomials. (MP)

Several sample problems from the "Ladies Diary," published in the early 1700s, are reviewed. They provide a fascinating glimpse of the mathematics considered useful in the eighteenth and early nineteenth centuries. (MP)

This instructional module examines a key function of science and technology: problem solving. It studies the meaning of problem solving, looks at techniques for problem solving, examines case studies that exemplify the problem-solving approach, presents problems for the reader to solve, and provides a student self-quiz. (Author/CT)

The material presents an alternative method for arranging proofs, which arranges development in levels. The method is described as triggered by recent ideas from computer science and is intended to increase the comprehensibility of mathematical presentations while retaining their rigor. Several examples using this approach are presented.…

This is the student guide in a set of five computer-oriented environmental/energy education units. Contents are organized into the following parts or lessons: (1) introduction to power and energy; (2) energy consumption and supply; (3) energy conservation and distribution; (4) energy flow and the question of transportation; and (5) computer models…

This resource book contains mathematical games, tricks, and quick activities for the classroom. Categories of activities include computation, manipulative challenges, puzzlers, picky puzzlers, patterns, measurement, money, and riddles. The computation section contains 13 classroom games and activities along with 4 manipulative challenges.…

This manuscript provides information and problems for teaching mathematics to vocational education students. Problems reflect applications of mathematical concepts to specific technical areas. The materials are organized into six chapters. Chapter 1 covers basic arithmetic, including fractions, decimals, ratio and proportions, percentages, and…

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…

Field tested with students in grades 10-12, this manual is designed to teach students in marketing courses basic mathematical concepts. The instructional booklet contains seven student assignments covering the following topics: why basic mathematics is so important, whole numbers, fractions, decimals, percentages, weights and measures, and dollars…

Designed to improve students' thinking, learning, and creative skills while they learn to program a microcomputer in BASIC programing language, this instructional manual for intermediate learners provides a brief section of information for each new topic together with a sample program to enter, run on the computer, and observe; a suggested change…

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 junior high level provides a variety of microcomputer activities designed to extend the concepts learned in the accompanying instructional manuals (Volumes 3 and…

Teachers can use these learning activities to teach about the future in elementary and secondary social studies, science, math, language arts, and arts courses. The purpose of the activities is to help students practice creative-thinking skills, investigate problems relevant to their personal futures, experience the concept of change, and evaluate…

Designed to improve students' thinking, learning, and creative skills while they learn to program a microcomputer in BASIC programing language, this instructional manual for beginning learners provides a brief section of information for each new topic together with a sample program to enter, run on the computer, and observe; a suggested change to…

This document provides teaching guidelines and student material for a unit intended for use in 12th grade algebra classes. Time allotment is from four to six hours of classroom time. The objective of this capsule is to teach students how to solve compound interest problems using arithmetic, logorithms, and calculators. Prerequisites for the unit…