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…

This report consists of five separate papers. The first is an extensive review of the "state of the art" in computer simulation and artificial intelligence. This review states that artificial intelligence and computer simulation have accomplished a great deal, with particular attention to findings relevant to psychology. The second paper is an…

The teacher's guide to Unit 12 of this SMSG series covers the chapter on quadratic functions and the chapter on statistics. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives are stated, and a time…

The third in a series of three workbook texts on beginning algebra. Designed primarily for use by low ability mathematics students, the texts have been used by average ability students as supplementary materials. Volume 3 contains material on order of operations, using variables and phrases, solving equations, equivalent equations, the addition…

GRADES OR AGES: Grade 9 and 10 (first and second courses). SUBJECT MATTER: Algebra. ORGANIZATION AND PHYSICAL APPEARANCE: The material for each grade is presented in four columns: major areas, significant anticipated outcomes, observations and suggestion, and references and films. The topics covered in the first course include reviews of set…

The booklet presents the minimum material for which students are responsible on the Tenth Year Regents examination of the state of New York. The syllabus is an attempt to integrate plane geometry with arithmetic, algebra and numerical trigonometry brought about by: (1) greater use of fractions and percents in mensuration problems; (2) use of…

This booklet briefly traces the history of algebra up through the present day modern algebra. The use of proofs, matrices, properties of groups, and linear equations and computers are discussed. (DT)

The comparative validities of four composites of variables for predicting grade point average in ninth grade modern algebra and performance on the "Cooperative Mathematics Test" were studied. A sample of 177 high school students was used. Findings showed that certain structure-of-intellect factors were useful in predicting algebra success,…

This document constitutes a complete revision of the report of the same name first published in 1965. A new list of basic courses is described, consisting of Calculus I, Calculus II, Elementary Linear Algebra, Multivariable Calculus I, Linear Algebra, and Introductory Modern Algebra. Commentaries outline the content and spirit of these courses in…

These instructional objectives, written by Harvey Reynolds, have been selected from materials used at Golden West College (California). These objectives are offered simply as samples that may be used where they correspond to the skills, abilities, and attitudes instructors want their students to acquire. These objectives may also serve as models…

Four methods of teaching algebra to educationally disadvantaged students entering college were compared. (SD)