This article reviews current knowledge about using computers to teach problem-solving skills to students with learning disabilities (LD). It presents the case for use of hypermedia to improve students' mathematics problem-solving abilities. Specific suggestions are given for applying hypermedia to cognitive strategy instruction and the graduated…

Purposeful sampling was used to select six English-Korean bilingual students to investigate language difficulties and cognitive processes in solving mathematics word problems. These six case studies revealed distinct patterns of difficulties in solving problems written in English and Korean, especially for students in transition stage. (Author/KMC)

This study identified cognitive processes that underlie individual differences in working memory (WM) and mathematical problem-solution accuracy in elementary school children at risk and not at risk for serious math difficulties (SMD). A battery of tests was administered that assessed problem solving, achievement, and cognitive processing in…

Only 25% of fifth- and sixth-grade Chinese students (n=186) correctly solved a division-with-remainder computation task, about the same success rate as with American students, and only one-sixth of the students could interpret the result. (MKR)

Simple arithmetic word problems are often featured in elementary school education. One type of problem, "compare with unknown reference set," ranks among the most difficult to solve. Differences in item difficulty for compare problems with unknown reference set are observed depending on the direction of the relational statement (more than vs. less…

The comprehension processes of adult students solving two-step problems of comparison were studied using eye-movement experiments based on the assumption that eye fixations are synchronous with internal cognitive processes. Twenty university students each solved 24 two-step mathematical word problems of three sentences each with consistent…

Building on previous research on the tendency in students of diverse ages to overrely on proportionality in different domains of mathematics (e.g., geometry, probability), this study shows that--when confronted with missing-value word problems--Flemish primary school pupils strongly tend to apply proportional solution strategies, also in cases…

The various difficulties and cognitive obstacles that students face when they are introduced to algebra are well documented and described in the relevant bibliography. If it is possible, in order to avoid these difficulties, we have adopted the functional approach widening the meaning of algebraic thinking. In this paper, which is part of wider…

This study investigated cognitive constructs to be measured by word problems in algebra. One performance-based assessment was administered to 290 high school students. Students' responses were scored by three scoring systems: the correct/incorrect criterion (0/1); a holistic scoring rubric (0-4); and an analytical scoring rubric for measuring…

Junior high school students (n=72) with learning disabilities received direct instruction in cognitive strategies, instruction in metacognitive activities, or both. Students improved in mathematical word problem performance and compared well with normally achieving peers. Discussion focuses on the treatment effects and maintenance and the issue of…

This study examined the verbalizations of 90 middle school students as they thought aloud while solving mathematical word problems. Results indicated that students with learning disabilities (LD) and average achievers were less strategic in approaching mathematical problem solving than gifted students, and LD students approached problem solving in…

Pragmatic and semantic problem solving are examined as processes that enhance acquisition of mathematical knowledge. It is suggested that development of mathematical cognition involves restructuring and that math teachers can help restructure children's knowledge systems by providing them with situations in which semantic and pragmatic problem…

High school students (n=295) were administered variants of the student-professor problem to ascertain whether errors could be traced to implicit versus explicit relationships between the variables. Concludes that implicit variable relationship problems were harder than explicit variable relationship problems. A follow-up study to explore why is…

Thirty-one students (ages 8-14) with learning disabilities or behavior disorders solved arithmetic word problems while a narrative protocol was developed. Eight types of cognitive processing difficulties were identified (such as lack of self-correction and inclusion of extraneous information), and the utility of protocol analysis as an assessment…

Many children read mathematics word problems and directly translate them to arithmetic operations. More sophisticated problem solvers transform word problems into object-based or mental models. Subsequent solutions are often qualitatively different because these models differentially support cognitive processing. Based on a conception of problem…