Whole-class peer tutoring programs have been found by some to be an effective way of providing students with a one-to-one instructional setting. This document reports on a study in which a peer tutoring program on mathematics fact acquisition was assessed using a second grade classroom consisting of 21 learners who possessed below average…

This collection of papers was solicited from a variety of educators in an effort to provide direction to teachers, curriculum developers and textbook publishers on topics in mathematics education that are consistently mentioned in recent national reports and study groups. The consensus of reports sponsored by various professional associations…

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…

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…

The teacher's guide and collection of transparency masters are designed for use in teaching adult basic education (ABE) students how to read and interpret graphs and charts. Covered in the individual lessons of the instructional unit are the reading and interpretation of charts as well as picture, line, bar, and circle graphs. Each unit contains a…

This yearbook consists of five sections, with samples of children's work appearing between sections. Part 1, "Perspective on Change in Elementary School Mathematics," describes and discusses broad components of change in elementary school mathematics. The central roles of problem solving, communication, and reasoning are highlighted, as is the…

The purpose of this project is to help teachers of mathematics use the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, each including homework…

The purpose of this study was to determine the effects of using calculators on the mathematical achievement and attitude of low-income sixth-grade students when they were taught problem solving. Thirty-five sixth-grade students in two intact classes were assigned to two treatment groups. The experimental group was taught problem solving using…

For the fall 1987 semester, New York City's Board of Education modified the admissions policy for the educational options high schools in order to enhance the equity of opportunity to the desirable programs in these schools and to make the schools more accessible to at-risk students. Of the 17,236 students in educational options schools and…

A study reports on a six-week remedial program designed to help youth at residential care group homes maintain their skill levels in reading and math during summer vacation. Twenty-nine children, all of whom were considered educationally at risk, were selected from seven residential care homes for the project. Most of the children's Wide Range…

The purpose of this project is to help teachers of mathematics use the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, each including homework…

Reading and mathematics objectives measured by the eighth grade tests of the Georgia Criterion-Referenced Tests are described. This guide was designed to familiarize the teacher with assessment characteristics for each objective. Objectives in concept identification, component operations, and problem solving are defined for mathematics. All…

These training materials are designed to stress the importance of a close relationship between concepts and skills when teaching mathematics to young children, to present material on the important area of problem-solving, and to encourage adults to use a wide range of appropriate techniques in evaluating their work and children's work in…

Research was conducted investigating properties of skill in learning, in the domain of elementary algebra. Thinking-aloud protocols indicate that early knowledge of the subjects studied was fragmentary, rather than involving systematically flawed procedures. Computational models, developed to simulate observed errors, focused on the role of…