This report attempts to discover how students think about and use mathematics in open-ended questions. Part I, "Open-ended Questions in Mathematics," describes the rationale for adding open-ended questions to the grade 12 mathematics test of the California Assessment Program (CAP). Part II describes the findings from students' responses…

Three studies of cooperative problem solving among university students examined how to design effective computer-based support for collaborative learning in distance education. The first was a questionnaire study of 150 Open University students who had participated in three different courses in physics and mathematics. Its aim was to determine…

The purpose of this notebook is to assist educators who are designing and implementing inservice education programs to facilitate the effective use of computer integrated instruction (CII) in schools. The book is divided into the following five sections: (1) Effective Inservice (a brief summary of inservice literature focused on inservice…

The December 1990 Media Evaluation Services list of computer courseware includes the following: (1) Group Grammar: grades 5-10 identify elements of grammar and mechanics; (2) Ready-Set-Read: Sequence: grades K-2 put pictures or sentences in order; (3) Write-On! Sarah, Plain and Tall: grades 4-7 develop reading, writing, and thinking skills through…

A fourth grade teacher and grade level team leader designed and implemented a 10-week practicum intervention meant to improve 26 fourth grade students' motivation, perseverance, and positive attitudes toward problem solving in mathematics. Students took part in activities that enhanced perceptual and deductive reasoning skills, including strategy…

This report describes the first of three stages in a study in the domain of problem solving: the definition and explication of schema knowledge. One objective of this research is to understand how schema knowledge is acquired and used in the chosen domain. The focus is on ways in which instruction influences the development of specific knowledge…

This workbook was designed as an easy-to-read, slower-paced text for students who have learning, reading, and language problems. As one of five workbooks to aid low achievers in problem solving, it focuses on using estimation to figure out what an answer to a mathematical problem might be. How to estimate using rounding and how to obtain a closer…

The fifth in a series, this report reviews Apple microcomputer courseware--and some IBM computer courseware--authorized by Alberta Education from June 1985 to March 1986. It provides detailed evaluations of 97 authorized programs in business education (11), business education/math (1), computer literacy (4), computer literacy/math/problem solving…

Most studies of children's solution processes on simple addition and subtraction word problems have used individual interviews or the analysis of error patterns on paper-and-pencil tests as the primary data-gathering techniques. The present paper reports an investigation in which the contribution of eye-movement data was explored for studying…

To determine whether children's knowledge of arithmetic facts becomes increasingly "automatic" with age, 7-year-olds, 11-year-olds, and adults were given a number-matching task for which mental arithmetic should have been irrelevant. Specifically, students were required to verify the presence of a probe number in a previously presented pair (e.g.,…

The dual purpose of this study was (1) to design instruction in problem representation and solution of algebraic word problems in order to improve the algebraic problem solving skills of learning disabled (LD) adolescents; and (2) to devise and evaluate the effectiveness of instructional procedures for teaching LD adolescents to represent and…

This issue contains abstracts and critical comments for 11 published reports of research in mathematics education. The reports are concerned with: (1) the development of counting strategies; (2) a structural model for mathematics achievement for men and women; (3) teaching children to subtract by counting up; (4) teaching children to add using…

This document analyzes one chapter of a textbook for college remedial mathematics. This analysis is done by one of the textbook authors. The chapter under discussion deals with fractions. The text authors, writing from a constructivist perspective, attempted to write problems which not only developed specific conceptual and heuristic objectives…

A 3-phase project to adapt, develop, and evaluate computer-aided instructional materials in elementary education basics (specifically word recognition, reading comprehension, and mathematics) for Alaska Native and American Indian students included in its design and planning phase a conference with project staff and six nationally recognized…

These sample problems, exercises, questions, and projects were compiled to supplement the guide for the Manitoba course Mathematics 301 in order to assist teachers in implementing the program. Arranged according to the modules of the course guide, they are coded to the objectives of the program. Review exercises follow either the subtopics within…