One of the most ambitious attempts to assess students' understanding of mathematics was carried out in England between 1974 and 1979. The results of this study indicate that there is a need in an overall assessment program to evaluate students' algebraic understanding as well as to measure their achievement in algebraic manipulations and problem…

This monograph proposes a theoretical basis for advocating a program of disciplinary arts education as an integral part of general education from kindergarten through grade 12. The theme of the essay is the role that images play in everyday experience and the formation of the educated mind. Images are sensory patterns or patterns produced by the…

This volume represents an effort to develop a definitive reference work on research in mathematics education. The reference is divided into two parts. Part 1, on the research process, focuses on problems of research methods and their relevance to research in mathematics education. Part 1 also introduces the beginner to some of the issues and…

This is the final report on a three year project designed to investigate the development of problem-solving strategies in elementary school children. In this project the personality of the child as it is reflected in problem solving style is examined. The hybothesis that reflective children are more competent problem solvers than impulsive…

Discussed are the theoretical explanations of the observation that low intelligence quotient (IQ), low socioeconomic status children appear to be brighter in certain ways than low IQ middle class youngsters. The two different theories on IQ as a function of socioeconomic status--environmental or cultural vs. genetically determined biological…

This paper reports on a study that examines mathematics scores when hands on manipulatives and group activities are used in the classroom at the middle school level. The study also explores changes in students' opinions of mathematics, assesses the intentions of females to take higher mathematics classes in high school, and surveys the amount of…

Described are pentonimoe activities which nurture a nonanxious attitude toward math and science, promote an atmosphere of cooperation, support development of problem-solving skills, and provide spatial-ability skill exercises. These activities can be used by students at all educational levels. (KR)

Presents a series of activities that help students discover the Pythagorean Theorem and extension activities to explore various dissection proofs of the Pythagorean Theorem. Includes reproducible worksheets. (MDH)

Chemistry can be described on three levels: sensory, molecular, and symbolic. Proposes a particle approach to teaching chemistry that uses magnets to aid students construct molecular models and solve particle problems. Includes examples of Johnstone's model of chemistry phenomena, a problem worksheet, and a student concept mastery sheet. (MDH)

This manual is part of a series of materials designed to reinforce essential concepts in physical science through interactive, language-sensitive, problem-solving exercises emphasizing cooperative learning. The manual is intended for limited-English-proficient (LEP) students in beginning physical science classes. The materials are for teams of two…

This document addresses some of the factors involved in teaching critical thinking skills in the science classroom. It contains sections that deal with: (1) pair problem solving--creating a Socratic learning environment (emphasizes the role of the teacher); (2) writing to learn science (the thought-process protocol); (3) integrating science…

This guide describes 20 learning activities that can be used with elementary school students on the topic of probability and statistics. These activities have been developed using the mathematics laboratory approach. This publication is designed to serve as a stimulant to encourage teachers to open their minds and employ their imagination in…

This manual is designed to help Army training personnel select and implement a specific approach to achieving specific training goals. Following a general learning model, general training principles are summarized. The rest of the manual shows how specific learning principles are associated with groups of learner performances. Training goals…

Suggests that a solution to the problem of expensive educational software may be found in public domain software. Included are a definition of public domain software, a discussion of the kinds of software that are in the public domain, ways to obtain such software, and a list of some examples. (PK)

Examines the effect of familiar and unfamiliar task content upon proportional reasoning abilities of ninth grade students. Uses content from chemistry and physics textbooks. Reports that student performance was higher on proportional reasoning problems involving familiar content than with unfamiliar content and that content famililarity interacted…