The validation of key contextual features of algebra word problems was studied in two phases. In the first phase, five experts were asked to assess the appropriateness of the concepts in the problems and the adequacy of the assignment of the contextual features to the problems. In the second phase, construct validity was established by having 6…

This paper reports the latest in a series of studies investigating children's performance in solving division story problems involving remainders. One aspect of the work involved examining the way in which "sense-making" is involved in the interpretation of the numerical solution obtained. Subjects were 195 sixth, seventh, and eighth…

This study examines the construct of problem representation and the processes used by learners to construct or modify problem representations in problem-solving situations. Students (n=14) from freshman calculus courses at the University of California at San Diego participated in videotaped interviews in which they were asked to think aloud as…

The processes by which conceptual knowledge is constructed during mathematical problem solving were studied, focusing on the cognitive activity of learners (i.e., the ways they elaborate, reorganize, and reconceptualize their solution activity). Underlying this research is the view that learners' mathematical conceptions evolve from their activity…

A fourth grade teacher and grade level team leader designed and implemented a 10-week practicum intervention meant to improve 26 fourth grade students' motivation, perseverance, and positive attitudes toward problem solving in mathematics. Students took part in activities that enhanced perceptual and deductive reasoning skills, including strategy…

Most studies of children's solution processes on simple addition and subtraction word problems have used individual interviews or the analysis of error patterns on paper-and-pencil tests as the primary data-gathering techniques. The present paper reports an investigation in which the contribution of eye-movement data was explored for studying…

The dual purpose of this study was (1) to design instruction in problem representation and solution of algebraic word problems in order to improve the algebraic problem solving skills of learning disabled (LD) adolescents; and (2) to devise and evaluate the effectiveness of instructional procedures for teaching LD adolescents to represent and…

Presents 14 problems organized into three levels of difficulty. Topics include algebra, pattern identification, probability, and geometry. Includes solutions to the problems. (DDR)

Explores what is important when choosing a mathematics word problem and when modifying it to suit particular students' backgrounds and cultures. For example, potentially good problems have multiple entry and exit points which can have several right answers, blending of different mathematical ideas, linkages to problems in other situations, and…

This study tested the effectiveness of an experimental instructional strategy for writing arithmetic sentences for simple multiplication and division story problems involving nonintegral factors. Significant effects in favor of the experimental group were found on an intermediate test and a posttest. (Author/CW)

Discusses the need to consider the cognitive models of students and their learning processes when designing computer tutorials, and describes a tutorial designed to teach students how to generate algebraic equations for story problems. Testing and revisions of the tutorial, with both college and high school students are described. (14 references)…

This study, involving 30 elementary students with learning disabilities, found that students performed significantly better on mathematics tests given using a computer than by paper and pencil. It found no differences among variations of computer-assisted instruction, with either static or animated pictures and either utilizing or not utilizing a…

Six students (ages 12-14) with learning disabilities received either cognitive or metacognitive strategy instruction for mathematical problem solving, followed by instruction in the complementary component. Results indicated that cognitive and metacognitive strategies were more effective than either cognitive or metacognitive strategy instruction…

The effects of problem content on mathematics word problem performance were explored for 128 male and 128 female college students solving problems with masculine, feminine, and neutral (familiar and unfamiliar) cover stories. No effect of sex typing was found, and a small, but highly significant, effect was found for familiarity. (SLD)

Female tenth graders (n=217) were less likely than male tenth graders (n=219) to identify missing or irrelevant information in algebra problems. Female eleventh graders (n=234) were less likely than male eleventh graders (n=287) to solve problems with irrelevant information. Results indicate sex differences in knowledge of problem structure. (SLD)