GROUP FUNCTIONING AND ACTIVITIES WERE STUDIED IN TWO CONTEXTS, THE LABORATORY AND THE REGULAR SCHOOL CLASSROOM. THE LABORATORY STUDY INVOLVED SMALL GROUP PROBLEM-SOLVING IN ARITHMETIC AND IN SOCIAL STUDIES. STUDIES CONSISTED OF GROUP PERFORMANCE, THE RELATIONSHIP OF THE HIGH ABILITY STUDENTS TO GROUP PERFORMANCE, THE RELATIVE IMPORTANCE OF…

The purpose of this study was to examine the cognitive correlates of RD-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Third graders (N = 312) were measured on language, nonverbal problem solving, concept formation, processing speed, long-term memory, working memory, phonological decoding, and sight word…

Although many common problem-solving errors within the realm of school mathematics have been previously identified, a compilation of such errors is not readily available within learning disabilities textbooks, mathematics education texts, or teacher's manuals for school mathematics texts. Using data on error frequencies drawn from both the Fourth…

This paper reports the results from one of a series of related, collaborative studies carried out in Sandy Bay, Tasmania, Australia, in 1979 and 1980, examining how young children acquire the skills to represent and solve addition and subtraction problems. The purpose of this study was to relate children's cognitive processing capabilities and…

The associations among cognitive automatization, abstract problem solving, and educational performance were studied using 127 fourth to ninth grade students. A number of measures of fast, automatic, and fluent performance (FAF measures) were used: writing the alphabet; reading from a word list; and mentally performing arithmetic operations. The…

Two experiments assessed whether children's difficulty with word problems can be attributed to difficulty in comprehending abstract or ambiguous language. The subjects were 38 first-, 36 second-, and 36 third-graders. The resulting theory of arithmetic word problem solving may represent a theoretical problem-solving model. (TJH)

This paper discusses a radically different set of assumptions to improve educational outcomes for disadvantaged students. It is argued that disadvantaged children, when exposed to carefully organized thinking-oriented instruction, can acquire the traditional basic skills in the process of reasoning and solving problems. The paper is presented in…

In the spring of 1985, the Oregon Department of Education conducted an assessment of eighth grade students' skills in writing, reading, and mathematics. This report provides results for the mathematics portion of the assessment under these headings: (1) arithmetic skills; (2) estimation; (3) geometry and measurement; (4) application; (5)…

This study investigated whether young, poor, inner-city children are deficient in the mathematical skills and concepts necessary for later success in school arithmetic. Children of pre-kindergarten and kindergarten age, black or white, and lower class or middle class, were given a wide variety of mathematical tasks, including Piagetian measures,…

Gender differences in level and pattern of cognitive abilities were examined in 49 learning-disabled college students. Females were stronger in visual-motor abilities and verbal conceptualization, whereas the males' highest abilities were nonverbal visual-spatial. Both groups showed weaknesses in memory for digits and factual knowledge and in…

This curriculum includes outlines for a series of professional readiness courses designed to improve the various basic skills required of hospital personnel. The first eight sections consist of course outlines/materials on the following topics: user-friendly arithmetic, user-friendly fractions, user-friendly algebra, problem solving through…

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 guide focuses on the Square One TV game shows, which explore areas ranging from probability and statistics to geometry. Eight game shows are described including the game rules, materials, directions, strategies for playing the games, actual game questions, and reproducible student pages. Follow-up activities provide ideas for using the games…

This paper reports on five related studies on upper elementary school students' beliefs about the role of real-world knowledge in solving mathematical word problems, and on possibilities of overcoming their unrealistic mathematical modeling. Findings from the first study of 75 Belgian fifth-grade students showed that as a consequence of current…

This document describes a mathematics course that uses the computer to solve mathematics problems. It was developed to be used with students who have completed at least one year of general mathematics or are not achieving success in the traditional mathematics program. The course is intended to review, reinforce, and extend concepts included in…