Subjects were randomly assigned to two methods of instruction for a unit on quadratic inequalities. It was expected that spatial visualization scores would predict transfer from the analytic approach while general reasoning would predict transfer from the graphical approach. No interaction was found. (Author/SD)

This document is designed to aid students who wish to comprehend the algebraic problem-solving process for mixture problems. The instruction set was designed to be low stress, patiently delivered, and easy to follow. It was set up to be accompanied by a 25-minute audio cassette tape. The content of this document and the tape is directed to the…

This study guide is part of an interdisciplinary course entitled the Science and Engineering Technician (SET) Curriculum. The course integrates elements from the disciplines of chemistry, physics, mathematics, mechanical technology, and electronic technology, with the objective of training technicians in the use of electronic instruments and their…

The development of a theory of algebraic problem solving is discussed. The domain of the investigation is restricted to single sentence word problems. There were three experiments, the first involving 42 college students from the University of California, Santa Barbara. These subjects were divided into two groups, half in an equation group and…

In all latent trait models there is an equation which describes the probabilistic outcome of the interaction of a person with a known ability and an item with a known difficulty. This modeled outcome can be compared to the observed outcome, and the residuals can be summed over the items to assess the fit of the person to the model. Various…

The message of this article is that there are many types of problems ordinarily requiring advanced techniques or special insight to solve which can now be done as simple programming exercises on inexpensive programmable calculators. Several examples appropriate for the secondary school curriculum are given. These are: (1) evaluating polynomials;…

The investigation reported is primarily a description of how college students solve or fail to solve algebra equations. Protocols were collected from two groups of college students; one group was expected to be good solvers, the other group contained many poor solvers. The investigators sought to identify and classify the difficulties students…

THIS INTERIM REPORT COVERS ONE PHASE OF A BROADER PROGRAM AIMED AT STUDYING THE EFFECTS OF THREE EXPERIMENTAL MATHEMATICS PROGRAMS IN NINTH-GRADE ALGEBRA--BALL STATE, THE UNIVERSITY OF ILLINOIS COMMITTEE ON SCHOOL MATHEMATICS (UICSM), AND SCHOOL MATHEMATICS STUDY GROUP (SMSG)--ON THE ATTITUDES AND INTERESTS PUPILS DEVELOP TOWARD MATHEMATICS. THE…

THIS TEACHER'S MANUAL FOR THE ENGINEERING CONCEPTS CURRICULUM PROJECT'S HIGH SCHOOL COURSE, "THE MAN MADE WORLD," IS THE THIRD DRAFT OF THE EXPERIMENTAL VERSION. THE MATERIAL WRITTEN BY ENGINEERS, SCIENTISTS, AND EDUCATORS, EMPHASIZES ENGINEERING--MAN'S APPLICATION OF SCIENTIFIC PRINCIPLES TO THE CONTROL AND UTILIZATION OF HIS…

This investigation tried to determine if a statistically significant relationship exists between different sequences of enrollment in remedial mathematics and grades obtained in college algebra classes at Jacksonville State University. Groups consisting of five different enrollment sequences in mathematics were studied. The data collected supports…

The described inservice teacher education learning module is designed for middle school teachers who are interested in better understanding the relationships of algebraic expressions. The contents of the module are outlined and the activities and resources involved in its use are described. Ordering information for materials is included as well as…

Presented are student performance objectives, a student progress chart, and assignment sheets with objective and diagnostic measures for the stated performance objectives in College Algebra II. Topics covered include: differencing and complements; real numbers; factoring; fractions; linear equations; exponents and radicals; complex numbers,…

This SMSG study guide is intended to provide teachers who use "Intermediate Mathematics," as a textbook with references to materials which will help them to gain a better understanding of the mathematics contained in the text. For each chapter of the text a brief resume of its content is followed by a list of annotated references which…

THIS STUDENTS' MANUAL FOR THE ENGINEERING CONCEPTS CURRICULUM PROJECT'S (ECCP) HIGH SCHOOL COURSE, "THE MAN MADE WORLD," IS THE THIRD DRAFT OF THE EXPERIMENTAL VERSION. THE MATERIAL WRITTEN BY SCIENTISTS, ENGINEERS, AND EDUCATORS, EMPHASIZES THE THEORIES AND TECHNIQUES WHICH CONTRIBUTE TO OUR TECHNOLOGICAL CIVILIZATION. RESOURCES OF THE…

This publication provides a forum for mathematics teachers who are interested in developing creative approaches for teaching mathematics. It consists mainly of articles under two heads--papers read at seminars on mathematics teaching, and original articles or reprints related to teaching and learning mathematics. There is a reference section which…