This article provides a review of research in cognitive strategy instruction for improving mathematical problem solving for students with learning disabilities (LD). The particular focus is on one of the salient components of this instructional approach--self-regulation. Seven studies utilizing this approach for teaching problem solving to…

This paper is the sixth in a series designed to supplement the statistics training of students. The intended audience is social science undergraduate and graduate students studying applied statistics. The purpose of the applied statistics monographs is to provide selected proofs and derivations of important relationships or formulas that students…

Discussed is one "quite general" attribute that can differentiate problem representations: the kinds of entities that are included -- the cognitive objects that the system can reason about in a relatively direct way, and that are included continuously in the representation. The ontology of a domain is significant for four reasons. First,…

This case study examined an experienced secondary school mathematics teacher's knowledge and teaching of problem solving, using interviews, classroom observations, teaching documents, and experimental tasks. The informant revealed a broad interpretation of problem solving, integrated with mathematics but widely applicable. This interpretation…

The need for mathematics teachers to incorporate instruction in problem-solving skills into the curriculum is discussed. Results of a study of problem-solving instruction in the classrooms of nine seventh grade teachers are briefly noted. There were significant differences between the teachers in how they planned, organized, and delivered lessons,…

This work studies the difficulties children have solving two-step word problems of a given structure (e.g., 7 lollypops/2 chocolate bars X 6 chocolate bars). Thirty-six children between the ages of 9 and 14 years were individually observed solving problems of the above type. Other tasks, repetition of the problem and model recognition, were used…

The influence a parent has on the beginning educational development of a child is unquestionable and profound; a parent's attitude and interest will greatly influence a child's attitude toward and interest in learning. This pamphlet is designed to help parents become aware of the many opportunities to develop, nurture, and refine their child's…

The current status of mathematics education in the Union of Soviet Socialist Republics is reported. The perceptions of Davis and Romberg reflect their own observations and discussions with Soviet educators. Kantowski and Rachlin give their impressions resulting from reading reports on Soviet research techniques and findings. Davis and Romberg…

It is noted that helping children learn how to solve problems has become a major goal for school mathematics. However, many children are not very successful at deciding what operation is appropriate for solving a given problem, and teachers often have difficulty describing or explaining how to identify the key features of a particular problem that…

This document is one of six which set forth the mathematics components of the Project SEARCH Articulated Curriculum developed by the Utica (New York) City School District. Each volume deals with a broad area of mathematics and lists objectives related to that area for all grades from K through 12. Each objective listed is described first in…

The exploration mode of content presentation is discussed. (MP)

This paper focuses on Islamic Art with its characteristic complex geometric patterns as an instance of mathematical constructs being used as a solution for artistic problems. (MN)

Pedagogical issue related to the teaching of elementary school mathematics are discussed. The authors argue that mathematics instruction should focus on intellectual challenges and problem solving. Four examples at different elementary levels are presented. nSD)

Annual mathematics talent searches for 12-year-old students were conducted in Hamburg, West Germany. One-hundred-fifty students took part in a long-term Saturday enrichment program to train them in problem finding and problem solving. The philosophy of this program is explained and illustrated with preliminary data. (MNS)