This document is designed to help the user recognize problems which can be solved by use of the exponential function, to show a wide variety of such problems, and to teach how to actually solve them. The material is divided into five individual units, numbered and labeled as follows: 84-Recognition of Problems Solved by Exponential Functions;…

This report on the Adult Math Skills Project includes sections on theory, empirical studies, and their implications. Section 1 presents an overview, noting that activity and setting are seen as mutually creating, sustaining, and changing the nature of problem solving. The empirical studies involved: (1) arithmetic practices among grocery shoppers;…

This document looks at specific applications of calculus to engineering. It is noted that for an automobile traveling at constant speed, the mathematical relationship between the directional heading and the angular deflection of the steering wheel can be calculated with respect to time. An analysis is presented which derives the relationship from…

It is noted that compared to the research base on effective practices for teaching primary level children, the volume of published research with intermediate level students is modest. The studies and summaries reviewed for this document include those which: (1) sought to identify a cluster of teaching strategies and behaviors which are positively…

This student manual and workbook is the second part of a mathematics series for use with high school students. The manual is to be used to apply the mathematics skills that students have learned in a first part called "Developing Basic Math Skills for Marketing." The manual presents conceptual instruction in mathematics in a competency based…

This 1981 yearbook of the National Council of Teachers of Mathematics (NCTM) offers classroom ideas for teaching statistics and probability, viewed as important topics in the school mathematics curriculum. Statistics and probability are seen as appropriate because they: (1) provide meaningful applications of mathematics at all levels; (2) provide…

This is one of a series of computer modules designed for use by secondary students. This module contains a simulation of a cash register, student instructions and worksheets, and the STORE program and related data programs and subroutines. The module will require one fifty-minute class period per student, spent at the computer. Also included in…

These units were produced by a team exploring the possibility of developing some of the basic concepts of mathematics through simple, but significant physical science experiments. The purpose of the entire project is to see if learning and understanding of mathematics can be improved by the use of these science-related units in mathematics…

This book is the teacher's manual to a text designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. It is a manual of suggested teaching strategies and additional materials aimed at compensating for past student failures to understand mathematical concepts. This book, S, is…

This USMES unit challenges students to recommend and try to have a new road design or a system for rerouting traffic accepted so that cars and trucks can move safely at a reasonable speed through a busy intersection near the school. The teacher resource book for the Traffic Flow unit contains five sections. The first section describes the USMES…

This USMES unit challenges students to find the best way to produce in quantity an item that is needed. The teacher resource book for the Manufacturing unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a discussion of the nature of the USMES "challenges" and…

This USMES unit challenges students to recommend and try to have changes made which would improve the design or use of the school's play area. The teacher resource book for the Play Area Design and Use unit contains five sections. The first section describes the USMES approach to student-initiated investigations of real problems, including a…

An "undesigned" experiment is one in which the predictor variables are correlated, either due to a failure to complete a design or because the investigator was unable to select or control relevant experimental conditions. The traditional method of analyzing this class of experiment--multiple regression analysis based on a least squares…

This report summarizes the techniques used in gathering and maintaining a data file on most of the Army aviator trainees who have been through the Officer/Warrant Officer Rotary Wing Aviator Course and the Warrant Officer Candidate Course during the period 1 July 1968-31 December 1969. Specific regression analyses dealing with the prediction of…

A brief case study of the resistance to technological change is presented using DOG, a small scale deterministic business game, as the example of technology. DOG, a decision mathematics game for the purpose of providing an environment for application of mathematical concepts, consists of assignments mostly utilizing matrix algebra but also some…