Discussed is the behavior displayed by good problem solvers of feeling free to restructure, revise, or redefine a problem. Examples of student work are included. (MNS)

Provides simple suggestions for educators to create problem-solving situations for children of all ages, even the very young. Emphasizes developing daily activities that build and reinforce these skills. (ET)

A mathematician who has been teaching for 58 years discusses 3 types of knowledge that are subjects for teaching or learning (what, how, and why) and why teaching must include problem solving or the use of the Socratic, Moore, or discovery method. (MKR)

Young children benefit from activities that involve various partitions of numbers, especially the number 10. Presented are two activities that require students partition and recombine numbers to solve problems in a gamelike situations. Examples and worksheets are provided. (MDH)

Proposes the utilization of graph theory to solve optimization problems. Defines the notion of spanning trees and presents two algorithms to determine optimization of a spanning tree. Discusses an example to connect towns by power transmission lines at minimum cost. (MDH)

Discusses the mathematics education philosophy of J. W. A. Young and how it compares to the principles in the National Council of Teachers of Mathematic's "Curriculum and Evaluation Standards for School Mathematics." Elaborates on Young's views concerning rote learning, establishing connections between mathematics and other disciplines,…

This article offers suggestions to teachers of hearing-impaired students on teaching basic mathematical problem-solving skills. Eight suggestions include allowing time for problem solving, encouraging persistence, providing open-ended problems, using problems based on student experiences, and using appropriate evaluation strategies. (DB)

Describes the "Two-Eight" instructional model for students who have arithmetic computational skills but lack the ability to select appropriate strategies to solve problems. Offers examples showing the replacement of the actual values used in a word problem with the simple numeric values of 2 and 8 to create a parallel, solvable problem. (DMM)

Describes an activity that engages pupils in the whole statistical process from collecting data to interpreting the results. Discusses the importance of these activities in developing knowledge, skills, understanding, and ability in problem solving. (Author/ASK)

Discusses a strategy to present girls with models of hardy female personalities through examples of young problem solvers found in children's literature to nurture and build the strength in female students to tackle problem-solving situations. Contains 17 references. (ASK)

Shares experiences and growth in a teacher's knowledge about learning while teaching mathematics. (ASK)

An evaluation of the Montgomery County (Maryland) Public Schools' summer-school program to help raise low-performing students' mathematics achievement showed that students received little benefit. Disappointing results arose from use of teacher-centered instructional techniques. Students had little opportunity for informal thinking, exploration,…

A study investigated elementary mathematical strategies used by 25 Hungarian children (ages 5 through 9) who are blind. Children dealt with numbers in five ways and experienced numbers in four ways. Although the children went through typical stages of development, their ways of dealing with numbers had some specific characteristics. (Author/CR)

Presents a problem included on the 1992 National Assessment of Educational Progress in mathematics at grade eight in the content area of algebra and functions. Collects and examines a set of responses to this problem and discusses some examples of strategies that students used to determine the answer to the problem. (ASK)

Discusses linking problem-solving to student achievement in courses like mathematics. Presents three different types of problem-solving in the classroom: (1) teaching for problem-solving; (2) teaching about problem-solving; and (3) teaching via problem-solving. Explores research findings on teaching decision-making skills. Contains 26 references.…