Investigates the calculation strategies used by female students in Grades Two and Three to solve word problems. Findings indicate that students used three main intuitive models: (1) direct counting; (2) repeated addition; and (3) multiplicative operation. Concludes that children acquire an expanding repertoire of intuitive models and the model…

Developed a heuristic strategy (SOLVED) to explain the processes involved in understanding and solving mathematical word problems (problem translation, problem interpretation, solution planning, solution execution, and solution monitoring) among upper elementary students. Results indicated that SOLVED was more effective in aiding both short-term…

Discusses reasons for the lack of mathematical problem-solving skills among students at all levels. Examines the complex cognitive processes required for problem solving. Reviews theories about the problem-solving process and lists the cognitive skills and steps necessary for successful mathematical problem solving. (PAA)

This article discusses outcomes of a study that indicated gifted children as young as 6 years old can use metacognitive processes for solving math problems, are aware of knowing certain operations and are able to use them automatically, and know which strategy they usually use for solving problems. (Contains references.) (CR)

Analyzed conceptual and linguistic complexities of matching situation word problems. Found a four-level progression in conceptualizing and solving these problems: Relational ("who had more/less" but not "how much more/less"); Language Cue (equalizing or compare language); Understand Matching Situations (difference between two…

Reports on the knowledge of fifth-grade students about what they are learning about percentage. Reveals the range of comfort students had in the instructional sequence and provides suggestions for developing assessment tasks, especially student-generated problems. An appendix of sample tasks is included. (MKR)

Sixty-four adults were tested on simple addition and multiplication problems presented in Arabic digit or English number-word format. Overall, response times and error rates were much higher with the word format, but more important, presentation format interacted with arithmetic operation and problem size. (DR)

Studied structures and relationships in one-step additive and multiplicative problems solved by 450 students in grades 2, 3, and 4. Results show that the facility ratio of the problems differs by structure, situation, and the sequence of data. The ability to solve one-step problems increases with age, but relative problem difficulty is grade…

Thirty-three college students with deafness and 10 typical students were given 30 mathematics problems to solve, 15 that were word problems. As the complexity of the descriptive information in the word problems increased along with the complexity of the problem situations, the performance of students with deafness decreased. (Contains references.)…

Discusses a class on subtraction or difference-finding, problems such as "There are eight white flowers and five red flowers, how many more white flowers are there than red flowers?" used in the teaching of Japanese first grade children. Describes three instances of introductory teaching of "difference-finding" problems in the…

A discourse comprehension model is developed in which the initial processing is bottom-up. Word meanings are activated, propositions are formed, and inferences and elaborations are produced, regardless of the discourse context. A network of interrelated items is created which can be integrated into a coherent structure. (SLD)

Examined relationships between kindergarten children's acquisition of metacognitive knowledge related to mathematics, subjects' general ability, and the role of metacognition and ability in facilitating word problem solutions. Found that subjects acquired a substantial metacognitive knowledge about mathematical word problems, which correlated…

Socially assisted group learning was evaluated in terms of its effectiveness in promoting fourth-grade students' solution of complex two-step word problems. Suggests that those in the socially assisted learning condition used labeled representations in problem solving more effectively and deduced implied information earlier and more often than…

In the course of solving relatively routine word problems, 7th grade students made a substitution for a word or phrase in the original problem statement. This practice is referred to as "wordwalking". Invokes the relative ambiguity of natural language and the precision of mathematical expressions to explain the dynamics of wordwalking. (Contains…

It has been hypothesized that differences in mathematical word problems are the result of differences in spatial skill. Why complex spatial abilities are needed for an individual to represent the relatively simple spatial relations in word problems is not clear. It is possible that a third variable, cognitive strategy preferences, may partially…