Reductions in the funding of compensatory education along with observed discrepancies in per-pupil cost among equally effective schools created a compelling case for the study of the determinants of cost-effective Chapter 1 programs in the state of Minnesota. Cost-effectiveness (CE) indexes for Chapter 1 reading and math services reflected a ratio…

This manual is intended to provide students, teachers, counselors, and other school personnel with a set of practical instruments and procedures designed to measure the generalizable mathematics skills of students in secondary vocational programs. Three types of assessment instruments and procedures are presented and discussed: (1) student…

The accountability movement has forced educators to expend energys during the past few years ensuring that students master a developmental sequence of skills in the major content areas. In mathematics this has resulted in an emphasis upon computational proficiency, and, in the view of many mathematics educators, not enough time has been spent on…

The accountability movement has forced educators to expend energys during the past few years ensuring that students master a developmental sequence of skills in the major content areas. In mathematics this has resulted in an emphasis upon computational proficiency, and, in the view of many mathematics educators, not enough time has been spent on…

When one encounters a problem that one has no adequate way of representing, a new mental model for the problem may have to be found. When a possible model is found, an important next step is to evaluate the validity of the model. In this document, examples of subjects finding and evaluating mental models used as problem representations are…

Described are the implemented and attained mathematics curriculum of 18 countries that participated in the Second International Mathematics Study. Differences and similarities between countries, are illustrated through analysis of the data, and data are presented to indicate shortcomings in the content and outcomes of education within certain…

This document presents four research papers related to the role of inconsistent ideas in learning mathematics and a discussion paper related to the same issue. The titles of the papers are: (1) "Cognitive Conflict in Procedure Applications" (Merlyn Behr and Guershon Harel); (2) "Inconsistencies in Preservice Elementary Teachers'…

It is a concern of many educators and researchers that females are underrepresented in the field of mathematics and careers that require mathematics. This study begins with a review of the literature that examines the sex-related differences in mathematics. Three major categories involving the relationship between females and mathematics are then…

This document contains the course syllabus and 12 independent practice modules for a college pre-calculus course designed as the second course in a two-semester sequence for students in a Bachelor of Technology program. The course emphasizes applications from technology and verbal problems. Topics include trigonometric functions; identities;…

The purpose of this study was to review the research on sex-related differences in mathematics achievement to determine the extent of the inequalities and the factors which cause them. The first section concentrates on differences in mathematics achievement between males and females. The second section describes the sex differences in mathematics…

This report describes a training project undertaken as part of the Bank Street College Mathematics, Science and Technology Teacher Training Project (MASTTE) to introduce teachers to "The Voyage of the Mimi," a 13-part television drama and multimedia package designed to supplement the regular curricula for science and mathematics in the…

The implementation of the program used in this study, TPIXIE, was predicated on the assumption that acquiring the skill to diagnose student errors was important for teacher trainees. The TPIXIE system (part of the PIXIE family of intelligent tutoring systems) was designed to present users with a series of task-student-answer pairs (where the…

The papers and conference proceedings recorded in this monograph are from a conference on effective mathematics teaching. In addition to acknowledgements, foreword, introduction and participant list, the following articles are included: (1) "Teaching for Higher-Order Thinking in Mathematics: The Challenge for the Next Decade"; (2)…

In its first year under Title VII of the Elementary and Secondary Education Act funding, the Chinese Bilingual Career Awareness Program served 265 Chinese-speaking students with limited English proficiency in two New York City junior high schools. The project's main goals were to improve student skills in English, increase content-area achievement…

The ideas of John Dewey and his fellow progressives have resurfaced in a movement called "writing across the curriculum." Interdisciplinary studies are now being seen as a way to break down the artificial boundaries between subject areas. Research has confirmed that language learning and experience are at the heart of education. The implications…