The adverse attitudes of many students in advanced mathematics courses were explored. Results indicated students felt the gap between regular and advanced courses was too great, and that students pursuing arts or social sciences would benefit from courses with broader application. (SD)

From a special report, "What's New in Curriculum

Computer programing and problem-solving steps in mathematics are viewed to have related concepts. Some heuristics are compared with some suggestions for structured programing. The one fundamental difference between problem solving in general and when using the computer is seen as the computer solution must be finite. The computer is viewed as a…

This is part three of a three-part manual for teachers using SMSG high school text materials. The overall purpose for each of the chapters is described and the mathematical development detailed. Background information for key concepts and answers for all exercises in each chapter are provided. Chapter topics include: (1) vectors and curves; (2)…

The Monte Carlo Method is a method of approximately solving mathematical and physical problems by the simulation of random quantities. The principal goal of this booklet is to suggest to specialists in all areas that they will encounter problems which can be solved by the Monte Carlo Method. Part I of the booklet discusses the simulation of random…

The origin, properties, and applications of various number systems are discussed. Among the 15 topics discussed are: tests for divisibility, the binary system, the game of Nim, computers, and infinite number representations. (MK)

A variety of uses of algebra in the behavioral and social sciences is provided along with descriptions of several algebraic systems. This volume is intended to be a sourcebook for theoretical conceptualizations for professionals in the behavioral and social sciences. This publication with its emphasis on description, application, and utility…

THE UNDERSTANDING AND MASTERY OF FUNDAMENTAL MATHEMATICS IS A NECESSARY PART OF COMMERCIAL FOODS WORK. THIS STUDENT HANDBOOK WAS DESIGNED TO ACCOMPANY A COMMERCIAL FOODS COURSE AT THE HIGH SCHOOL LEVEL FOR STUDENTS WITH APPROPRIATE APTITUDES AND COMMERCIAL FOOD SERVICE GOALS. THE MATERIAL, TESTED IN VARIOUS INTERESTED CLASSROOMS, WAS PREPARED BY…

As part of the Mathematical Problem Solving Project, MPSP, the goals and purposes of miniprojects are explored. Various conjectures are presented which are based partially upon observation of children working on projects and partially upon the opinions of mathematicians who have observed how problem-solving processes are used in real-world…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series is designed to make material for the study of topics of special interest to students readily accessible in classroom quantity. Topics covered include directed segments, applications, components, and inner products. (MP)

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include directed line segments, applications to geometry, vectors and scalars, components, inner product,…

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. This series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) geometry and experience; (2) geometry and empirical science; (3) physical geometry; (4) dimension; and (5) curves. (MP)

This volume contains preliminary versions of five of the chapters prepared by the SMSG curriculum project for use in grades 7 and 8. The first four chapters and the tenth chapter in the sequence are presented. The sample chapters in this volume illustrate a number of aspects of the curriculum project: (1) association of ideas of number and space…

This 41-page programed booklet is intended for use by students and adults. It introduces the metric units for length, area, volume, and temperature through a series of questions and answers. The advantages of the metric system over the English system are discussed. Conversion factors are introduced and several applications of the metric system in…