The effects of a form of cooperative group instruction called Team Assisted Individualization on students in a high school Algebra II class were examined. Sixty-two (31 female and 31 male) 11th-grade students were randomly assigned to either a cooperative learning (32 students) or traditional lecture (30 students) group. Students completed an…

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…

This set of five papers, written in German with abstracts in English, was collected by the Institut fuer Didaktit der Mathematik (Institute for the Teaching of Mathematics) at the University of Bielefeld in West Germany. In the first paper, Bauersfeld considers domains of subjective experiences as the best issue for an interactive theory of…

A study involving 233 seventh-grade students (123 females and 110 males) attending a metropolitan southeastern Idaho junior high school was conducted to determine predictors of seventh-grade mathematics achievement. The seventh-grade mathematics program consisted of 11 classes of four ability groups. The classes included a pre-Algebra class, four…

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 study was an initial effort at Brenau College (Georgia) to analyze the relative effectiveness of a self-paced math lab approach to developmental pre-college algebra. Students enrolled in 1988-89 were taught under the lecture method; this applied to students needing both developmental arithmetic and developmental algebra. During the subsequent…

It is feasible for school districts to develop and use subject area tests as reliable as those previously available only from commercial publishers. Three projects in local item development in a large school district are described. The first involved only Algebra 1. The second involved life science and career education at the elementary level; and…

This report enumerates the activities of the Educational Technology Center (ETC) during 1987. The guide's theme for the year was Teaching with Technology. The report includes brief descriptions of five different types of research projects by area. In science education, the projects concerned with weight and density, heat and temperature, and 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…

One question regarding the utility of adaptive testing is the effect of individualized item arrangements on examinee test scores. The purpose of this study was to analyze the item difficulty choices by examinees as a function of previous item performance. The examination was a 25-item test of basic algebra skills given to 36 students in an…

The New Jersey College Basic Skills Placement Test (NJCBSPT) is designed to measure basic reading, writing, and mathematics skills of students entering New Jersey colleges. The test consists of five sections: Essay, Reading Comprehension, Sentence Sense, Mathematical Computation, and Elementary Algebra. The test is intended to answer the question…

This document contains 53 plenary and contributed papers presented at the eighth Psychology of Mathematics Education (PME) meeting. Two plenary addresses focused on mathematics research in Australia and Japan, and problem solving and symbolism. Contributed papers were classified under 13 headings including: teaching and learning theory; cognition;…

This volume is organized into six parts. Chapters 1-5, which make up Part 1, first discuss the forces impinging on algebra in the curriculum and suggest possible directions for change. Chapters 6-8, Part 2, concentrate on concepts and teaching possibilities available prior to the formal introduction of algebra. The notion that algebraic ideas are…

These materials were designed to help remedial students increase mathematics proficiency on topics found in the Regents Competency Testing Program. The activities developed come complete with questions, "cards," and/or sample gameboards. Included in each activity is a list of materials needed. Several different activities often use the…

This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…