First-year algebra high school students of various ability levels were presented lessons concerning the application of geometry theorems. The lessons varied in terms of the complexity of the examples that were shown. After the lessons, students completed a questionnaire concerning their perceptions of the lessons, and then they were tested over…

The author states that this book was written for anyone who wants to know what calculus is all about, and that those with knowledge of some algebra and geometry should be able to understand it. That calculus should be called "slope finding" is discussed, and this term is used extensively. The book is divided into three chapters: (1) the…

This book, written primarily for college students who feel uncomfortable with mathematics, attempts to provide its readers with new ways of thinking about mathematics, reading mathematics, studying mathematics, talking the language of mathematics and appreciating the power of using mathematics. Chapter 1 deals directly with the problem of math…

This unit views applications of elementary game theory to international relations. It is noted that of all the significant world problems, the nuclear arms race has proved one of the most intractable. The main concern of the module is to investigate a possible solution to the arms race, based on extending the classic two-person game of Prisoner's…

This document is designed primarily to help teachers in elementary and middle schools to teach basic skills in mathematics, the visual arts, and social interaction. The Introduction contains sections titled: (1) How and Where to Begin; (2) Orientation Exercises; (3) Discovering the Environment; (4) Toothpicks and Gumdrops; (5) A Process for the…

From the statewide assessment of mathematics performance conducted by the Minnesota Department of Education, specific study findings for 17-year-olds attending public and nonpublic schools included demographic data and information on student attitudes toward education programs and mathematics, and mathematics achievement. Data analyses suggested…

The Rice Index is the first measure of voting unity devised. It is noted that this measure was developed on an ad hoc basis for use in rather rough comparisons. This measure is carefully assessed, and is noted to have the virtue of simplicity, useful in certain situations, but associated with certain problems when it is used for a more detailed…

This document consists of three modules. The first looks at applications of analysis to medical radiology. The goals are to provide: 1) acquaintance with a significant applied mathematics problem utilizing Fourier Transforms; 2) generalization of the Fourier Transforms to two dimensions; 3) practice with Fourier Transforms; and 4) introduction to…

This guide provides material for teaching problems with rate and ratio calculations. There has been a traditional and worsening shortfall of student performance on rate and ratio problems which do not apply to other components of the mathematics program. The major problems found with traditional curriculum approaches are: (1) rate and ratio…

This collection of activities shows how teachers can help pupils develop problem-solving techniques or strategies using a basic four-function calculator. The techniques "look for a pattern,""make a chart or organized list," and "guess and check" are used repeatedly in activities that range from discovery to application to strategy games. The…

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…

Presented is a listing of books recommended by the Mathematical Association of the United Kingdom that deal with mathematics education at the secondary school level. The following information on each book is provided: author; title; publisher; cost to the nearest pound; categories of use; and a code that indicates if the book in question is out of…

Presented is a listing of books recommended by the Mathematical Association of the United Kingdom that focus on Mathematical Applications. The following information on each book is provided: author; title; publisher; cost to the nearest pound; categories of use; and a code that indicates if the book in question is out of print, reprinted, and/or…

Presented is a listing of books recommended by the Mathematical Association of the United Kingdom dealing with Puzzles, Problems, Games, and Mathematical Recreations. The following information on each book is provided: author; title; publisher; cost to the nearest pound; categories of use; and a code that indicates if the book in question is out…

Presented is a listing of general books on mathematics which are highly recommended by the Mathematical Association of the United Kingdom. The following information on each book is provided: author; title; publisher; cost to the nearest pound; categories of use; and a code that indicates if the book is out of print, reprinted, and/or highly…