The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Describes a class activity in which students create word problems associated to specific arithmetic problems that are then edited in their English class. Using the computer laboratory and a word-processing program under the supervision of the media specialist, the problems are compiled in a booklet, printed, and distributed. (MDH)

The effectiveness of instruction in word-problem solving for students with learning problems in 25 outcome studies was examined across student characteristics, instructional features, methodological features, skill maintenance, and generalization components. Computer-assisted instruction was found to be most effective for group-design studies;…

A small-group mathematical problem-solving tutorial treatment with explicit instruction including transfer to novel problems was evaluated with 40 students. On word problems and transfer word problems, tutoring effected reliably stronger growth, although effects on real-world problem solving, while moderate to large, were not statistically…

This study examined ways in which two independent variables, peer collaboration and the use of a specific tool (the TAPS interface), work together and individually to shape students' problem-solving processes. More specifically, the researchers were interested in determining how collaboration and TAPS use cause metacognitive processes to differ…

This study investigated children's ability to interpret a natural social situation, depicted in a narrative story, and to use their understanding of that situation to generate and apply a mental model of debts and assets in solving problems including negative quantities. Fifty-one American students from a parochial school in a predominantly middle…

This qualitative assessment of tenth-grade students' (n=17) problem solving focused on the nature of students' thinking, their problem-solving strategies and heuristics, the mathematical approaches they selected, and the ways they monitored their own progress. The problem, presented orally and with photographs in a task-based interview, involved a…

This yearbook consists of five sections, with samples of children's work appearing between sections. Part 1, "Perspective on Change in Elementary School Mathematics," describes and discusses broad components of change in elementary school mathematics. The central roles of problem solving, communication, and reasoning are highlighted, as is the…

A study examined and explored the importance of language in successful math problem-solving. The participants of the study were 24 fourth-grade students in a public elementary school in an urban area. Students were instructed in solving math word problems with a variety of strategies ranging from task specific, procedural methods to…

No longer just a user of commercial software, the 21st century teacher is a designer of interactive software based on theories of learning. This software, a comprehensive study of straightline equations, enhances conceptual understanding, sketching, graphic interpretive and word problem solving skills as well as making connections to real-life and…

The activation of real-world knowledge displayed by 91 Japanese fifth graders in solving school mathematics problems was compared to that of 75 previously studied Belgian students. Children in both cultures had a similar tendency to neglect common sense knowledge and realistic considerations as they attempted to solve word problems. (SLD)

Results of a study involving 107 sixth graders, 107 secondary school students, and 99 college education majors support the basic hypothesis of the intuitive model of solving multiplicative problems proposed by E. Fischbein and others (1985) but show that the theory does not account for all the empirical data. (SLD)

Described is a strategy where students write stories to help in the process of solving problems. The strategy is a five-step process which includes prewriting, writing, conference, revising and editing, and publication. (KR)

Examined are gender differences across the mathematics curriculum related to various topic areas and mathematical abilities. It was found that boys performed better than girls in geometry and excelled in comprehension, and solving routine and non-routine problems while girls were better at mathematical manipulation problems. (Author/MVL)

Forty first-grade teachers' pedagogical content knowledge of children's solutions of addition and subtraction word problems was investigated. Most teachers could identify many of the critical distinctions between problems, and the primary strategies used to solve them, but did not have a coherent organizational scheme. (MNS)