Twenty skills are identified and illustrated by example activities which should help the student receive, organize, and analyze data; manipulate it at a symbolic or model level; and treat it in imaginative ways through purposeful distortion and fantasy. (CL)

The lesson plans in this book engage students by using a tool they enjoy--the Internet--to explore key concepts in algebra. Working either individually or in groups, students learn to approach algebra from a problem solving perspective. Each lesson shows learners how to use the Internet as a resource for gathering facts, data, and other…

Adding mediation (guidance in problem solving) to an educational task enabled learning disabled sixth graders to produce superior performances compared with unmediated tasks. The author contends that focus on problem-solving skills is needed as much as emphasis on reading and perceptual skill development for learning disabled students. (CL)

Using sequential chains of regular n-gons in a row with one side touching, as for example, one triangle, two triangles, three triangles, and so on, students graph the length of the perimeter versus the number of n-gons and determine the functional relationship for different values of n. (MKR)

Independent study for gifted and talented middle-level students progresses through five stages, from the affective sensing of a problem to be solved through assessing both product and process. J. Renzulli's Enrichment Triad model can serve as a framework for independent study, which must be carefully structured and guided. (CL)

Presents a six-step problem-solving process which the author has used to present creative science investigations to fourth, fifth, and sixth graders. (Author/SJL)

Describes a fifth-grade student solving the "Food for Thought" problem featured in the February 1998 issue. (ASK)

Discusses ways to help students improve their problem-solving skills. Presents some mathematics problems to be used in classrooms. (ASK)

Outlines four solution methods for the Mangoes Problem, discusses how middle school students have approached the problem, suggests generalizations of the problem, and gives an example of a related problem that can be used as an extension to explore the four strategies discussed. (MKR)

Shares a problem-solving activity in which the aim is to find out how fifth-grade students would approach a nontraditional problem in which several conditions had to be met. Asks teachers to consider student observations in their teaching. (ASK)

Develops a division algorithm in terms of familiar manipulations of concrete objects and presents it with a series of questions for diagnosis of students' understanding of the algorithm in terms of the concrete model utilized. Also offers general guidelines for using concrete illustrations to explain algorithms and other mathematical principles.…

A 15-item story problem test was written at three readability levels (below grade 4, grades 4-6, above grade 6) by two methods (vocabulary control and sentence control). Six test forms were administered to 1158 children in grades 3-6. Readability level had no effect on problem difficulty. (Author/MNS)

Describes three studies in which students (N=515; N=60; N=135) were asked to indicate appropriate operations and numbers used in solving open mathematical sentences. Analysis of data and interviews suggest two error patterns: "finding a solution" and "inverse operation." Indicates that "finding a solution" strategy…

Geared to intermediate-grade classroom teachers, a general framework for solving problems is promoted that has the following steps: (1) Get to know the problem, (2) Choose what to do, (3) Do it, and (4) Look back. Ways of using the framework and suggestions for problem-solving resources are included. (MP)

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)