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 workbook focuses on mathematics related to baseball, and is designed to work along with standard student interest in the sport. The material is designed to be introduced by the teacher to students during March, a period when pupils are known to traditionally show less interest in school work. A large portion of the workbook relies on…

This workbook focuses on mathematics related to football, and is designed to work with student interest in the sport. A large portion of the document relies on information that is to be obtained by the teacher from the National Football League (NFL) teams, such as current player rosters. The workbook is designed to be a motivating skill-builder in…

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)…

Intended for use by counselors and mathematics teachers, this guide brings together mathematical and occupational skills to form an interrelated curriculum. Eight occupational clusters are included as follow: (1) business and office, (2) communications, (3) construction, (4) hospitality, (5) manufacturing, (6) marketing and distribution, (7)…

This module uses concepts of fingerprinting to illustrate and apply selected mathematical ideas. Specifically, students participate in activities that require pattern recognition, measuring using mm and cm, and identification of similar patterns. Inking of students' prints is done. Teaching suggestions are provided. (MK)

This unit is designed to be used primarily by students who have some interest in bicycles. It is intended to draw them into mathematical thinking in an interesting way. This unit is laboratory oriented. It will be necessary that the student have access to a bicycle in the classroom for several of the exercises (unless they are done primarily at…

THE THEME OF THIS PROGRAM WAS THE USE OF PROBABILISTIC MODELS AS MEASUREMENT TOOLS FOR EXPERIMENTAL DESIGN IN TEST CONSTRUCTION AND FOR ANALYSIS OF TEST DATA. SOME CENTRAL ISSUES IN THIS FIELD ARE DISCUSSED AND RESOLVED IN THE FIRST FOUR CHAPTERS OF THE REPORT UNDER THE FOLLOWING TITLES--(1) CONTRIBUTIONS TO ITEM SELECTION, (2) CLUSTERING…

Presented is a description of the experimental first-year algebra materials "Algebra Through Applications"; a description of the procedure used in evaluating these materials; and recommendations for changes in the materials, implementation, evaluation, and funding. The evaluation indicates that these materials can be effectively used in a variety…