The author illustrates many problems in which drawing graphs of functions involving absolute values assists in the solution of algebraic equations and inequalities. (SD)

Euler's famous formula, e to the (i, pi) power equals -1, is developed by a purely algebraic method that avoids the use of both trigonometry and calculus. A heuristic outline is given followed by the rigorous theory. Pedagogical considerations for classroom presentation are suggested. (LS)

This textbook aims to present the mathematical sciences in clear, everyday language for apprentices, students and mechanics--willing, industrious, anxious to study at home, yet unable to give time or money for professional teaching. It is trusted that this effort to place before English-speaking students a treatise on arithmetic and algebra, freed…

This study compared errors made while solving equations using literals (letters) with errors made while solving the same equations using numerals. The subjects were 54 Navy students enrolled in a remedial mathematics course. Error data were analyzed by means of coding all errors into ten major categories, each containing subcategories. Students…

IN AN EFFORT TO PROVIDE A BETTER UNDERSTANDING OF MOTIVATION AND TO INVESTIGATE SOME POSSIBLE MEANS FOR INCREASING THE MOTIVATION OF STUDENTS, MOTION PICTURES AND PRINTED COMMUNICATIONS WHICH ILLUSTRATED PRACTICAL APPLICATIONS OF MATHEMATICAL CONCEPTS WERE TESTED. SUBJECTS FOR THE STUDY WERE DRAWN FROM FIRST-YEAR ALGEBRA CLASSES FROM 17 HIGH…

THIS PROJECT PROVIDES A PROGRAM FOR THE EDUCATION OF NINTH GRADE STUDENTS IN GENERAL MATHEMATICS. THE PURPOSE OF THE PROJECT IS (1) TO WRITE UNITS OF WORK THAT INCORPORATE PRACTICAL APPLICATIONS FROM THE EVENTS AND AFFAIRS OF URBAN LIFE, (2) TO SEEK OUT PROBLEMS FROM LOCAL INDUSTRY, AND (3) TO PROVIDE DIFFERENTIATED ACTIVITIES AND EXERCISES THAT…

The purpose of this booklet is to provide interim guidance for those colleges that cannot immediately effect the recommendations of the Committee on the Undergraduate Program in Mathematics (CUPM) 1963 report. The recommendations in the 1963 booklet were for the first four years of a seven-year program leading to the Ph.D. and a career in…