Six studies discussed in this paper compared error-specific or model-based remediation (MBR) with reteaching in algebra. MBR points out, and highlights as incorrect, errors specific to the student's solution before reteaching the correct procedures. Reteaching shows the student the correct procedure without addressing specific errors. Three of…

This paper provides an overview of the four major aspects of the PIXIE Intelligent Tutoring System: the field work undertaken to determine how teachers diagnose and remediate in introductory algebra; the set of experiments run to determine the relative effectiveness of Model-Based-Remediation (MBR) and Reteaching; systems work carried out to…

This publication is designed to show how computers can be used effectively in secondary school mathematics curricula. Section I provides a description of the various types of software that could be incorporated into the secondary school mathematics curriculum. Procedures for evaluating the software and using it in a classroom or laboratory…

In 1984 the Urban Mathematics Collaborative (UMC) project was initiated to improve mathematics education in inner-city schools and to identify new models for meeting the ongoing professional needs of teachers. UMCs are located in Cleveland, Minneapolis-St. Paul, Los Angeles, Philadelphia, San Francisco, Durham, Pittsburgh, San Diego, St. Louis,…

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 two 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…

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 second-year course, designed for 10th grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 61 lessons in this…

This project was designed to: (1) examine the use of the computer as a tool for simulation; (2) let students gather data, analyze hypotheses, and explore algorithms; and (3) explore the potential of high resolution graphics and large memory that will characterize the microcomputers of the 1980s. Prototypes for three different computer-based…

An extensive body of research indicates that men on the average achieve higher scores in mathematics than women. Despite this extensive research, conclusions about sex differences in mathematics achievement have suffered from various inadequacies in the use of measures of association among coursework experiences, sex, and other correlates of…

This is one of a series of monographs developed by teachers in schools near Leeds, England. This volume focuses on recommended methods for teaching operations with whole numbers, fractions, decimals, and percentages. For children to attain confidence in dealing with arithmetical processes, it is considered important that they not be confused by…

The "Arithmetic Teacher" was founded in 1954 by the National Council of Teachers of Mathematics to serve the interests and needs of all who are concerned with elementary school mathematics. There were four issues of the journal in 1954, five in 1955 and 1956, six in 1957, 1958 and 1959, and eight in 1960 through April 1979. Since September 1979…

A three-part teacher's guide outlines methods of incorporating active art education and art appreciation into the elementary curriculum. The section on Arts and Learning contains readings on art and culture, art in education, and art as active learning as well as an introduction to the guide. The Arts and Teaching section contains four groups of…

Bilingual mathematics competencies and competency-coordinated activities are provided in the four sections of this curriculum guide for kindergarten (pre-operational) and grades 1-3 (concrete-operational) children. Topic areas for kindergarten include: classification (logic); comparing/ordering/graphing; quantitative; measurement; geometry;…

The Des Moines (Iowa) Independent Community School District Chapter I Mathematics Program served 1,110 students in grades 2-8. Chapter I Math students in grades two through six achieved gains on the Iowa Tests of Basic Skills from pre to posttesting. Scores on these tests are reported using a metric known as the Normal Curve Equivalent (NCE). The…

The kindergarten level curriculum guide for bilingual education of Arabic-speaking children in the Chicago public schools is divided into two difficulty levels and is designed to facilitate acquisition of mathematical concepts by presenting them in the children's native language. At each level, the concepts covered include the meaning of numbers,…

The findings of research on computers and teaching are reviewed in this monograph, both to provide useful guidelines for teachers, and to serve as a reference point for further research. Research results are organized around the following topics: (1) computer availability and use; (2) classroom applications--computer assisted instruction, computer…