Discusses advantages and considerations in using open-ended problems in mathematics teaching and evaluation. Describes results of using open-ended problems in a sixth-grade class in Japan. (Author/MKR)

Describes two problem-solving videodisc adventure stories related to geometry and reports reactions of (n=25) teachers and their students who used the adventures. Results found teachers and students had increased knowledge of ways to apply geometry. (12 references) (MKR)

Provides six short story problems that are solved using common physics concepts. Includes solutions. (MVL)

Two experiments, one measuring eye fixations of 38 undergraduates and the other assessing memory of 37 undergraduates, provide evidence that unsuccessful problem solvers are more likely to comprehend by direct translation and that successful word problem solvers are more likely to build a problem model. (SLD)

This article details an approach to teaching one step in a mathematics word-problem-solving strategy, that of organizing the facts. A lesson plan is offered which involves directed instruction and supervised practice in five strategies for organizing facts. (DB)

The suggestion that the IDIOSCAL model be fitted by the TUCKALS2 algorithm for three-way components analysis is examined. The claim that resulting coordinate matrices will be identical is supported when the data matrices are semidefinite. Counterexamples for indefinite matrices are also constructed. (SLD)

Informal Assessment sometimes interprets enthusiasm and confidence in mathematics for cognitive competence. Presented are two case studies of interviews conducted to study the affective and reflective capacities underlying children's mathematical thinking during a nonroutine problem-solving task. (MDH)

An activity in which students practice vector addition and interact with every other student in class is described. Directions for playing the game and a copy of the vector name tag needed to play the game are included. (KR)

Suggests math activities for elementary students that are designed to strengthen problem-solving, computation, and calculator skills by revolving around the real-life situation of a picnic. The article suggests designing a class project to plan and carry out a class picnic, stressing the use of mathematics and calculators. (SM)

An experiment with 67 Australian junior high school students demonstrates that presentation of goal-free 2-move mathematics problems, reducing the use of means-ends analysis, prevents the stage effect (increase in errors at the subgoal stage) from occurring. Implications for enhancing learning are discussed. (SLD)

This article offers suggestions for incorporating cognitive principles into mathematics instruction for students with disabilities, such as identifying underlying concepts and relationships and teaching them explicitly, and presenting instruction from a problem-solving perspective. A checklist is provided for determining whether or not…

Examines adults from China and Canada solving single-digit multiplication problems. Reports that Chinese adults were faster and made fewer errors than Canadian adults, and Chinese adults made more errors that reflect verbal-production processes that may occur after retrieval whereas Canadian adults made more errors that reflect retrieval…

Examines the nature of prior mathematical knowledge that facilitates the construction of useful problem representations in the domain of geometry. Indicates that high achievers build schemas that are qualitatively more sophisticated than low achievers, which in turn helps them construct representations that are conducive to understanding the…

Focuses on attitudes toward mathematics and correlated outcomes in a college-level social-statistics course. Examines differences between males and females, African-American, Hispanic, and Caucasian students. Contains 27 references. (DDR)

Sponsored by the National Science Foundation, the New Jersey Statewide Systemic Initiative for Achieving Excellence in Mathematics, Science, and Technology Education helped teachers learn to integrate the three subjects. (JOW)