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…

Measure Up is a research and development project that uses findings from Davydov (1975) and others to introduce mathematics through measurement and algebra in grades 1-3. This paper illustrates the use of generalized diagrams and symbols in solving word problems for a group of 10 children selected from a grade 3 Measure Up classroom. Students use…

This report describes a program for improving students' comprehension of the language of mathematical problems. The targeted population consists of 5th and 6th grade multi-age students and multi-age learners with special needs at a middle school located outside a major city in a Midwestern community. Evidence for the existence of this problem…

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…

This study examined the role of dynamic assessment involving specific and general instructional strategies on expert and novice third graders' error patterns in solving part-whole mathematics word problems. The assessment showed that novices in general required more prompts than did experts. Experts in the specific strategy group had decreased…

Illustrates the diverse ways in which the computer spreadsheet can be used by both teachers and students as a problem-solving tool in high school mathematics, and provides detailed examples of spreadsheet use in word problems. Discusses the functions of spreadsheet tables, columns, and graphs. (AEF)

This study evaluated a six-step strategy for solving mathematical word problems and partnered practice with 24 third-grade students with mild disabilities. Measures of process (use of the strategy regardless of correctness of answer) and product (finding correct answers) was significantly better than controls. Students' and teachers' attitudes…

Investigated was the effect of presenting arithmetic word problems in the students' native language or in English on Nigerian students mathematics skills and strategies. Findings indicated that both private and public school students performed better when the word problems were presented in their native language. (CW)

Examines whether verbal problem-solving skills in a group of fourth graders would improve if they were specifically taught how to generate their own diagrams when solving word problems. Classifies textbook word problems into three general types and describes them: (1) tabular; (2) geometric; and (3) contingency diagraming. (YP)

Two classes of second graders (24 high and 19 average math ability students) were taught to use differing schematic drawings to represent differing categories of addition and subtraction word problems. Results indicate that American textbooks could include many more difficult word problems than is currently the case. (TJH)

Ten teachers successfully taught first- and second-grade children to count up while keeping track with finger patterns. Learning to subtract by counting up greatly improved children's performance on take-away, compare, and equalize word problems, and enabled them to accelerate by as much as three years their learning of subtraction topics. (MNS)

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…

These reflections by the authors of a paper (EC 611 427) on computer-assisted instruction of students with learning disabilities comment on their reanalysis of the research process and their interpretations of the unanticipated results. Implications for further research on the cost effectiveness of learning-strategy training versus time-on-task…