A study investigated the repertoire of cognitive schemes used by 15 adolescents with mental retardation in the process of solving additive word problems. Findings provide evidence of at least a partial part-part-whole scheme for about half of the students and more use of metacognitive knowledge than is usually expected. (Contains references.)…

Performance on mathematics word problems was compared for 197 students (grades 3-8) with mild disabilities and 210 nondisabled students. Students with disabilities performed at significantly lower levels than typical students. Significant effects were also evident for grade and type of mathematical operation (addition, subtraction, multiplication,…

Devised a model that hypothesized that students, in discriminating relevant information in mathematical story problems, search for values of semantic categories that match those in the problem. Two experiments assessed the validity of the model. Results indicated that the model was an accurate predictor of discrimination performance for successful…

Four human judges agreed highly among themselves about the presence of errors committed by 60 adults solving algebra word problems, but were in less agreement about categorizing faults. An expert system agreed with judges about correctness of answers, but was in even less agreement about categorizing the faults. (SLD)

Describes a study of sixth grade middle school students that examined whether tuning students' attention to information in a mathematics problem impacted their problem-solving performance. Discusses use of the Jasper Woodbury Problem-Solving series and results of statistical analyses that showed the importance of creating mathematical problems…

The purpose of this study was to investigate students' use of visual imagery and its relationship to spatial visualization ability while solving mathematical word problems. Students with learning disabilities (LD), average achievers, and gifted students in sixth grade (N = 66) participated in this study. Students were assessed on measures of…

Ms. Johnson was concerned about the inconsistent performance of several of her students in solving mathematical word problems. A number of her students were one to two grade levels below their grade placement in reading, spoke English as a second language, and had identified reading disabilities. On mathematics assignments that required minimal…

"Learning by doing" in pursuit of real-world goals has received much attention from education researchers but has been unevenly supported by mathematics education software at the elementary level, particularly as it involves arithmetic word problems. In this article, we give examples of doing-oriented tools that might promote children's ability to…

College students' strategies to discriminate relevant from irrelevant information in algebra story problems were identified and compared to strategies used by younger students in previous studies. College students identified numbers relevant for solution (Experiment 1) or provided verbal reports as they computed answers (Experiment 2). Type of…

English language learners (ELLs)--one of the lowest-achieving and fastest growing middle-school subpopulations--are challenged in the classroom by language components which could potentially jumpstart real mathematical growth for these and, eventually, all other students as well. Going beyond traditional word problems, this study documented and…

The first objective of this study was establishing to what extent meta-cognitive skill is associated with intelligence. As a second objective, the impact of hints on the execution of meta cognitive skills was investigated. Both issues have major implications for the training and transferability of meta-cognitive skills during performance on a…

The authors propose that word problems can serve as a context in which to learn mathematics concepts for elementary school students, providing a bridge for connecting classroom mathematics with real-world mathematics. This article focuses on the potential barrier to success that students may encounter because of the words, and subsequent contexts,…

The influence of cognitive growth in working memory (WM) on mathematical problem solution accuracy was examined in elementary school children (N = 353) at risk and not at risk for serious math problem solving difficulties. A battery of tests was administered that assessed problem solving, achievement, and cognitive processing (WM, inhibition,…

The author describes 10 classroom activities that are designed to promote reading comprehension and organizational skills in the context of solving math problems. These lessons help students to clarify the information within math problems, identify what operations are necessary, and express their solutions more accurately and precisely. A…

Dynamic assessment (DA) involves helping students learn a task and indexing responsiveness to that instruction as a measure of learning potential. The purpose of this study was to explore the utility of a DA of algebraic learning in predicting third graders' development of mathematics problem solving. In the fall, 122 third-grade students were…