A training procedure was developed to improve (or to encourage) the construction of a meaningful problem representation by mentally retarded and learning disabled children. Children are taught to use an external visual representation for arithmetic word problems, in which the meaning of the problem is reflected. The construction of this visual…

This document is intended to describe several software learning environments in an order that parallels a reasonable sequence of use by students. It also describes a planned an designed, but not yet implemented, extension of these environments from the discrete to the continuous case. Each of the implemented environments was developed in…

This book contains about 200 problems. It is suggested that it be used by students, teachers or anyone interested in exploring mathematics. In addition to a general discussion on problem solving, there are problems concerned with number theory, algebra, geometry, and combinatorics. (PK)

This paper discusses the overall design of the PIXIE Intelligent Tutoring System, and more specifically a series of recent enhancements. The original system has been implemented to involve three separate phases: the offline, or model generation phase; the online, or tutoring, phase; and the analysis phase. The offline phase, which is completed…

The purpose of this manual is to present a series of lessons on solving word problems, each focusing on a specific concept. The solving of story problems should be incorporated into the daily mathematics lesson so that children can maintain and increase their skills. The lessons are sequenced according to their complexity. Lessons one through…

The need to consider the interaction of characteristics that affect students' learning is stressed. Levels of cognitive development as proposed by Piaget are presented first, with how they relate to teaching mathematics discussed. Then two cognitive styles, relating to the way an individual most efficiently processes information, are considered:…

The needs of the teacher who seeks successful practical action are different from the needs of the scientist seeking truth. Distinctions made in action science bring out this difference. Action science emphasizes an integration of personal knowledge and social discourse along with objective data in cycles of planning, acting, and fact-finding…

First-year algebra high school students of various ability levels were presented lessons concerning the application of geometry theorems. The lessons varied in terms of the complexity of the examples that were shown. After the lessons, students completed a questionnaire concerning their perceptions of the lessons, and then they were tested over…

This manual contains individual learning activity sheets on "Prenumbers", "Whole Numbers", and "Fractions." Each activity sheet and its accompanying instructional recommendations focus on a single concept or skill. The program presented is not intended to comprise a complete mathematics program for children who have difficulty in mathematics and…

This report covers the activities of 1985 high school graduates of the Los Angeles Unified School District one year after graduating. The questionnaires, administered via the mail, surveyed graduates concerning their educational pursuits, employment endeavors, and opinions regarding their educational experience. Approximately 33% of the 9,299…

This in-depth review of the literature synthesizes articles and abstracts identified as education-oriented microcomputer research studies published since 1979. A brief, historic overview of educational computing is followed by a review of the Becker (1983) survey, which concerned the distribution of microcomputers in education in the United…

The purpose of this study was to identify effective and ineffective strategies for teaching Title I students. The data collection took the form of direct observations of teacher-student interactions and classroom activities in the classes of 79 Oklahoma City Public Schools Title I teachers. The data on achievement gains came from the California…

The California Mathematics Project (CMP) was created in 1982 to improve mathematics competence of students by implementing exemplary in-service training programs for existing mathematics teachers. This report provides a summary of local project evaluations and an assessment of the extent of program implementation and progress toward achieving…

Designed for use with students in grades nine through twelve, the model curriculum standards in this guide were developed in response to Senate Bill 813 (Chapter 498, Statutes of 1983) of the California Legislature that focused on the reestablishment of high expectations for the content of courses taught in secondary schools and for the level of…

At the request of the Curriculum Department and the Chapter I program coordinators of the Portland Public Schools, three different instructional programs were evaluated during the 1981-82 school year. (1) The Help One Student to Succeed (HOSTS) program provided a person-to-person structured tutorial program in reading using volunteer tutors. (2)…