Previous research has provided support for the mediating role of self-efficacy between independent attitude variables and dependent performance measures. However the existence of a confirmatory model, that can be generalized over both males' and females' measures of attitudes, perceived self-efficacy, and achievement levels, has not yet been…

The main purpose of this special issue is to suggest strategies for meeting the mathematical needs of two-year college students in the decade of the 1990s. Since the 20 contributors were free to write about topics that they considered to be appropriate to the intellectual and personal development of all students their papers represent a broad…

This guide, developed by a statewide committee in response to the legislature's mandate to develop statewide curriculum standards for required subjects, presents the content that should be taught in Algebra I. It was piloted by teachers in representative school systems and subsequently revised. Six goals for the course are listed, followed by a…

A collaborative effort among teachers, mathematics specialists, administrators, representatives from local industry, and college and university faculty produced the complete revision of the Leominster Public School System (Massachusetts) mathematics curriculum. This document provides an outline of the complete K-12 mathematics curriculum,…

This study was designed to identify characteristics of college freshmen taking mathematics courses. Students enrolled in basic algebra courses at a regional campus of a large midwestern university participated in the study. Students were administered an instrument which included a "math autobiography," the Adult Mathematics Expectation Scale…

This study investigated the relationship of several affective variables as predictors of academic performance in mathematics. The predictor variables studied were: (1) attitude toward success in mathematics; (2) confidence in learning mathematics; (3) perceptions of teacher attitude; (4) mathematics anxiety; and (5) locus of control. The sample of…

Designed to serve as a supplement for high school level mathematics, this publication contains activities which aim to enhance mathematical knowledge and skills and to assist students in understanding aerospace technology and its achievements. This volume updates an earlier supplement that was published in 1972. Problems are grouped into chapters…

This document contains the course syllabus and 12 independent practice modules for an introductory college algebra course that requires some previous knowledge of algebra and the ability to work at a rapid pace. Topics include the basic operations with signed integers; fractions; decimals; literal expressions; algebraic fractions; radicals;…

This curriculum guide for junior high mathematics contains objectives, clarifications or examples, elective suggestions, and ideas for the integration of problem solving and technology for grades 7, 8, and 9. The strands running through all three grade levels are: (1) problem solving; (2) number systems and operations; (3) ratio and proportion;…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

Knowledge about the structure of arithmetic expressions enables people to reason effectively about such expressions, including an ability to judge equivalence under transformations. This paper reports an empirical study of six middle-school children who judged the equivalence of three sets of three-term arithmetic expressions with an addition and…

This paper presents a critical review of computer assisted instruction (CAI); an overview of recent intelligent tutoring systems (ITSs), including current perceived shortcomings; major activities of the field, i.e., analysis of teaching/learning processes, and extending and developing artificial intelligence techniques for use in intelligent…

This document reports on a study into the relationships between cognitive preferences, achievement, and ethnicity of first year algebra students. The sample consisted of 175 students from two high schools in the Denver (Colorado) metropolitan area. The two schools were chosen because of the diversity of ethnic groups in the student populations.…

The Corrective Feedback Paradigm (CFP), a computer-based instruction model, addresses the problem of inefficient sequencing of items in a set to be learned by suggesting the use of an increasing ratio review schedule for presenting drill items. With this system, items answered correctly are either removed from the list entirely or replaced at the…

Twenty-five outstanding middle grade mathematics teachers were selected to participate in a three-week workshop presented by the Middle Grades Mathematics Project (MGMP) at Michigan State University. A major focus was on the development of leadership; the workshop involved guest speakers, field trips, and an intensive immersion in the MGMP…