Describes two problem-solving activities for small groups that motivate through the use of sundials. Includes practical work. (ASK)

Evaluates the use of modern CAD methods to solve geometric problems. Solves descriptive geometry problems using the layout and position of the successive auxiliary views from the projection of three-dimensional figures onto a two-dimensional plane of paper. (CCM)

Investigates the effects of an instructional intervention derived from the Garofalo and Lester cognitive-metacognitive framework on the problem-solving performance of year six students with different ability levels. Concludes that there was significant improvement in problem-solving performance for the experimental class compared to the control…

Shares two lessons in which students help teachers pose problems and discover the importance of posing problems properly. Presents a fifth-grade lesson in which students found a mistake in a proportion problem, and an eighth-grade lesson that discusses a geometry problem with insufficient information. (ASK)

Describes a typical fifth-grade mathematics lesson as taught in a Japanese elementary school, followed by a reflective commentary focused on problem solving, using manipulative aids, and multiple solutions. (ASK)

States that writing has become a major component of mathematics as a teaching, learning, and assessing mechanism of mathematical understanding. Presents some writing activities for mathematics classes and their advantages. (ASK)

Describes how successful study of mathematics requires a set of problem-solving processes that help students reason mathematically, offers a context in which students can communicate their reasoning, and provides opportunities for students to link their learning to prior mathematical contexts. Discusses the three basic processes of Krutetskii's…

Presents suggestions for integrating mathematical problem solving into all aspects of an elementary school classroom. This includes taking data from such areas as attendance and lunch counts, numbers of seats needed for an open house, amount of money needed for field trips, and many more. The article offers tips for powerful problem solving. (SM)

Analyzes student construction of function-based problem solving methods in introductory algebra. Describes longitudinal observation of a pair of students that studied algebra for three years using the function approach including intensive use of graphing technology. Offers terms for describing and explaining what and how do learners appreciate and…

Matrix organization can be used to construct math word problems for children with mild disabilities. Matrix organization specifies the characteristics of problems, such as problem theme or setting, operations, level of computation complexity, reading vocabulary level, and need for classification. A sample scope and sequence and 16 sample word…

Contends that the context of children's literature affords opportunities for solving varied and authentic mathematics problems. Suggests that the problem-solving process in mathematics is often linked with that involved in comprehending children's literature. Consequently the teacher is provided meaningful information about students' thinking that…

Discusses whether verbal interaction is recognized as the source from which co-operative groups draw their power to facilitate mathematical learning. Reflects on a group in a mathematics course for prospective secondary teachers focused on problem solving where silence was commonplace. (ASK)

Examines the relationship between problem-solving performance and the quality of the organization of students' knowledge. Reports on findings on the extent to which content and connectedness indicators differentiated between groups of high-achieving and low-achieving Year 10 students undertaking geometry tasks. (Contains 29 references.)…

Investigates 6th-grade students' use of equations to describe and represent problem situations prior to formal instruction in algebra. Describes students' preinstructional uses of equations to generalize problem situations and raise questions about the most appropriate curriculum for building on students' intuitive knowledge of algebra. (Contains…

A study investigated the effects of an instructional strategy within a graduated teaching sequence on the representation and solution of problem-solving skills encompassing integer numbers for six secondary students with learning disabilities. Results indicate problem-solving skills dramatically improved following instruction at the concrete,…