Discusses possible solutions for the problem of determining how many sandwiches were made with specific ingredients that appeared in the March 1998 issue of this journal. (ASK)

Presents three classification activities in which students work in cooperative small groups using physical materials to foster flexible thinking in doing mathematics. Concludes that attribute blocks are useful physical manipulatives for promoting classification activities and problem-solving skills. (ASK)

Describes the results of part of a study into mathematical problem solving in secondary schools. Concludes that positive results were achieved, in part, as a consequence of the time that was spent in problem-solving lessons which allowed students to practice reading and working with word problems and working on basic material, particularly…

Shares some explorations of Fibonacci sequences with a special focus on problem-solving and posing processes. (ASK)

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

Aims to find the influence of overcoming fixation in mathematical problem-solving towards divergent thinking in open-ended mathematics problems. Presents findings from an investigation of Japanese junior high school students. Reports that students who can overcome fixation in mathematics can contribute varied and original ideas in open-ended…

Discusses the advantages of teaching with open-ended tasks and compares students' responses to open-ended, closed-area, and perimeter tasks. (ASK)

Illustrates how engagement in worthwhile mathematical tasks can provide rich opportunities for professional development. Presents different solution strategies for the effective tax rate problem. Emphasizes that, to help students recognize differences among the preceding arguments, teachers need to recognize reasoning based on part-whole…

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

Presents problems appropriate for high school and college students that highlight dilution methods. Promotes an understanding of dilution methods in order to prevent the unnecessary waste of chemicals and glassware in biology laboratories. (JRH)

Presents an activity that highlights the mechanism and power of natural selection. Allows students to think in terms of modeling a biological process and instills an appreciation for a mathematical approach to biological problems. (JRH)

Presents a problem that uses the design show and asks students to find a series of moves to take the design from the top-left corner of a piece of paper to the bottom-right corner while remaining in its original orientation. (ASK)

Presents answers to the problem appearing in the January, 1999 Problem Solvers section of this journal, which was a strategy game called "Take Two" in which two players played by placing seven chips in a row and removing one or two chips each turn. (ASK)

This booklet contains mathematics unit plans for Algebra 1, Geometry, Math for Technology, Mathematical Problem Solving, and Pre-Algebra developed by PACE (Promoting Academic Excellence In Mathematics, Science & Technology for Workers of the 21st Century). Each unit plan contains suggested timing, objectives, skills to be acquired, workplace…

The academic needs of gifted students are qualitatively different from those of regular students. This document describes a course that is differentiated for gifted students in the areas of content, process, learning environment, and product. Emphasis is placed on higher order thinking skills through independent study dealing with real world…