The reporting methods used in large scale assessments such as the National Assessment of Educational Progress (NAEP) rely on a "latent regression model." The first component of the model consists of a "p"-scale IRT measurement model that defines the response probabilities on a set of cognitive items in "p" scales…

This document describes mathematical programs on the basic concepts of algebra produced by Louisiana Public Broadcasting. Programs included are: (1) "Inverse Operations"; (2) "The Order of Operations"; (3) "Basic Properties" (addition and multiplication of numbers and variables); (4) "The Positive and Negative…

Background information on the testing program, administration details, and a description of the test are provided. The test, intended for administration in June 1986 to third-grade students in Alberta, Canada, consists of two sections. Section 1 is divided into two parts. Part A contains 25 questions covering numeration, geometry, and graphing; 12…

This brief leaflet for parents states that "the most important thing you can do is to reinforce the mathematics lessons your child receives in school." The helping strategies are designed for use with children in grades one through three, but may also be useful for older children having difficulty in mathematics. Four types of skills children have…

This booklet, designed for preschool through age 6, is the first in a series designed to help teachers develop a more positive and creative approach to giving work on mathematics skills to children. It is based on objectives concerning creativity, fostering independent thinking, using experiences, using mastery, reinforcing previously learned…

This booklet, designed for ages 6-8, is the second in a series designed to help teachers develop a more positive and creative approach to giving work on mathematics skills to children. It is based on objectives concerning creativity, fostering independent thinking, using experiences, using mastery, reinforcing previously learned skills,…

This booklet, designed for ages 8-10, is the third in a series designed to help teachers develop a more positive and creative approach to giving work on mathematics skills to children. It is based on objectives concerning creativity, fostering independent thinking, using experiences, using mastery, reinforcing previously learned skills,…

This booklet, designed for ages 10-12, is the fourth in a series designed to help teachers develop a more positive and creative approach to giving work on mathematics skills to children. It is based on objectives concerning creativity, fostering independent thinking, using experiences, using mastery, reinforcing previously learned skills,…

Activities and problems are interspersed with commentary in this book on the learning and teaching of mathematics. The emphasis is on helping students to enjoy mathematics through an awareness of structure and patterns. The chapter titles are as follows: (1) "My Three Sons--A Game"; (2) "The Tower Game"; (3) "Mathematical Games on a Different…

This document is part 2 of the workbook for grade 1 pupils in the Comprehensive Instructional Management System, a unified mathematics curriculum for kindergarten through grade 7. Each objective is developed by a variety of strategies, with mastery of objectives diagnosed through a testing component. The activities in the student workbook are…

This research is aimed at diagnosing the problem-solving skill of elementary school children and subsequently improving their competence in early mathematics. To reach this goal, a computer assisted instruction (CAI) program on open sentences, incorporating knowledge about students' problem solving strategies and misconceptions, was constructed.…

This book contains revised versions of the major papers presented at the Research Agenda Project Conference on Number Concepts in the Middle Grades. It is organized into three major sections, along with an introductory chapter and two brief summaries. Part I includes chapters that deal primarily with analyses of subject matter. The four chapters…

This book is based on the underlying philosophy that mathematics learning at the elementary level should be active. Children should learn through meaningful hands-on activities with manipulative materials, pictures and technology. More than 400 pupil activities and suggestions for designing more activities are described. Because mathematics is to…

Examples of computer programs illustrate how instructors can introduce students to geographic concepts and models while creating a thinking environment in the classroom. The programs are designed to assist students in computational tasks and to provide both graphic and numeric output which will be stimulating. A population pyramid program…

In mathematics, situations calling for reconstruction of a transformation are frequent. In such situations, children aged 6 to 7 concentrate on the states, combining them in different ways. The present research aims to illustrate that difficulties and strategies observed with children 6-7 years old are not specific to this age level, but are also…