This volume is an experimental edition for a high school course in the theory of matrices and vectors. One of the basic aims is to demonstrate the structure of mathematics. Another criterion is to provide some tools that will be useful in the student's transition from school to college. A last objective is that the intellectually vigorous students…

Solving equations in elementary algebra requires knowledge of the permitted operations, and knowledge of what operation to use at a given point in the solution process. While just these kinds of knowledge would be adequate for an ideal solver, human solvers appear to need and use other kinds of knowledge. First, many errors seem to indicate that…

This is the teacher's commentary for part two of a three-part SMSG algebra text for high school students. The principal objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure as a basis for the techniques of algebra. Chapter topics include addition and multiplication of real…

A SEQUENTIAL MATHEMATICS PROGRAM BEGINNING WITH THE BASIC FUNDAMENTALS ON THE FOURTH GRADE LEVEL IS PRESENTED. INCLUDED ARE AN UNDERSTANDING OF OUR NUMBER SYSTEM, AND THE BASIC OPERATIONS OF WORKING WITH WHOLE NUMBERS--ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION. COMMON FRACTIONS ARE TAUGHT IN THE FIFTH, SIXTH, AND SEVENTH GRADES. A…

THE "DEMONSTRATION PROJECT" DESCRIBED IN THIS REPORT REPRESENTED A MAJOR PART OF THE ACTIVITY OF THE SYRACUSE UNIVERSITY-WEBSTER COLLEGE "MADISON PROJECT," BEGINNING IN SEPTEMBER, 1961, AND EXTENDING THROUGH THE SUMMER OF 1967. THE GOALS AS CONCEIVED BY THE MEMBERS OF THIS PROJECT WERE (1) TO CREATE EXPERIENCES IN MATHEMATICS…

THE PURPOSE WAS TO DETERMINE IF MATERIALS CONSTRUCTED ACCORDING TO PROGRAMING PRINCIPLES WOULD BE RELATED TO ACHIEVEMENT, COMPLETION TIME, AND DROPOUT RATE IN CORRESPONDENCE STUDY. THREE METHODS WERE USED IN ADMINISTERING THE NINTH-GRADE LEVEL TEMAC ALGEBRA PROGRAM AND THE ENGLISH 2600 PROGRAM. SUPPLEMENTARY PROGRAMED MATERIALS WERE PREPARED AND…

This basic mathematics course is composed of eight lessons. Each lesson contains a pre-test and post-test, problems and examples oriented toward water and wastewater operations, suggested supplemental readings, and estimated time for completion. The topics of the lessons are: (1) numeration; (2) whole numbers; (3) fractions; (4) decimals; (5)…

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 graphs, slope, distance, mid-point, proof, equations, and circles. (MP)

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) the prime numbers; (2) mathematical sieves; (3) the factorgram; and (4) perfect numbers. (MP)

REPORTED ARE THE FINDINGS AND RECOMMENDATIONS OF A PANEL ESTABLISHED BY THE ADVISORY COUNCIL ON COLLEGE CHEMISTRY (ACCC) WORKING COOPERATIVELY WITH THE COMMITTEE ON THE UNDERGRADUATE PROGRAM IN MATHEMATICS (CUPM). THE FUNCTION OF THIS PANEL WAS TO DETERMINE THE APPROPRIATENESS OF RECOMMENDATIONS FOR CHANGES IN THE UNDERGRADUATE MATHEMATICS…

AN INITIAL ATTEMPT TO EVALUATE PROGRAMED INSTRUCTIONAL MATERIAL IN ALGEBRA CLASSES LED TO FURTHER EXPERIMENTATION WITH A VARIETY OF PROCEDURES. IN 1964-65, NO SIGNIFICANT DIFFERENCES WERE FOUND IN THE PERCENT OF STUDENTS SUCCEEDING IN PROGRAMED AND CONVENTIONAL CLASSES, THOUGH STUDENTS IN PROGRAMED SECTIONS DID NOT SEEM MOTIVATED TO WORK AT THEIR…

The materials in this booklet are designed especially for the low achieving student in mathematics. Containing some materials from a course in general mathematics, the booklet is intended to be used in conjunction with conventional textbook materials and is designed to serve as a source of new ideas for teachers and to relieve the teacher of much…

This student discussion guide is intended to accompany "Explorations in Mathematics," a text for teachers. The materials in this booklet relate mainly to variables, graphs, signed numbers, logic, identities, functions and matrices. The materials were designed to be used as supplementary materials with students in grades 5 through 9. (RP)

This report presents a more detailed elaboration and discussion of the mathematical content of the central concepts which have been designated as the Mathematical Strands of the Mathematics Curriculum for grades K-8. In Part I of the report there is a discussion of the pedagogical philosophy which the committee felt was to have an importance equal…

This study related high-inference teacher behaviors to measures of pupil achievement and attitude in ninth-grade algebra classes. A sample of 50 classes came from 13 suburban high schools. The most consistent results showed that pupil and observer assessments of clarity, enthusiasm, and task orientation were important for attitudes toward…