The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" (the "Standards"), provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected…

Research has demonstrated that people have difficulties recognizing ratio relationships involving multiplication. This paper is divided into four sections. The first section describes a study that was part of the three-year study of the mathematical and pedagogical development of prospective elementary teachers. The classroom teaching experiment…

This publication describes several different teaching strategies employed to enhance students' understanding of mathematics, such as working in cooperative learning groups, giving presentations based on problems that were solved, and writing about solutions that were found. This innovative approach to teaching mathematics resulted in questioning…

Although many common problem-solving errors within the realm of school mathematics have been previously identified, a compilation of such errors is not readily available within learning disabilities textbooks, mathematics education texts, or teacher's manuals for school mathematics texts. Using data on error frequencies drawn from both the Fourth…

Technological progress in communication and transportation within the past 30 years has made many areas of the world accessible, as well as interdependent. Failure to understand the concept of interdependency greatly diminishes the potential of all nations and each citizen to appreciate this world community. This agricultural awareness program…

This handbook is part of a series of three, corresponding to the three grades (4, 6, and 8) at which Mastery Tests are administered. This publication was written as a resource for teachers developing mathematics programs for students in grades 7 and 8. The Mastery Test in Mathematics at Grade 8 assesses student performance for 36 instructional…

The construct underlying simple paper-and-pencil logical operations tasks administered to young children in group settings was examined. The logical operations, number concepts, and visual discrimination subtests of the Early School Assessment (ESA) were administered as part of the Fall 1987 national tryout of the ESA. The mathematics concepts and…

This document aims to assist teachers, curriculum specialists, and other educators in their endeavors to improve their K-12 mathematics education programs. This is a companion document to the "Michigan Essential Goals and Objectives for Mathematics Education." The document illustrates the integration of mathematical content with process…

This document contains a list of recommended essential mathematical skills and outcomes developed for Arizona students from primary through secondary grades. These skills have been developed by using a spiral structure of individual clusters of objectives that are taught at an initial level and then retaught at higher levels as students progress…

This document is the first of seven units developed by the Math Network Curriculum Project. Each unit, designed to be a 2-week module, is a teacher's guide which includes detailed directions along with the courseware and software needed. Teacher intervention in the non-computer activities that begin each unit is required, and the consistent use of…

This document is the sixth of seven units developed by the Math Network Curriculum Project. Each unit, designed to be a 2-week module, is a teacher's guide which includes detailed directions along with the courseware and software needed. Teacher intervention in the non-computer activities that begin each unit is required, and the consistent use of…

The main purpose of this study was to evaluate the cognitive processes of Montagnais Indians under conditions that would reduce bias and allow for a contextual interpretation of the results. Fifty-eight Montagnais children were compared to French-Canadians of the same age and grade groups whose data had been collected through previous…

The revised Iowa Developed Energy Activity Sampler (IDEAS) was compiled using the original IDEAS program and the Energy Conservation Activity Packets (ECAPS). This document contains teaching activities which are intended to strengthen students' mathematics skills and concepts, while broadening their understanding of energy concepts. Each of the 24…

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…

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;…