Presents a problem drawn from real life that addresses finding a way to cross all seven bridges of Konigsberg, Russia. Illustrates a set of simple examples and an instructional approach in order for students to make sense of a seemingly impossible problem. (ASK)

How can a chain with 63 links be cut in 3 places so that you could hand a person any number of links from 1 to 63? Considers variations on the problem and derives a general formula. (TO)

Presents a collection of problem-solving tasks focusing on mathematical situations that often have surprising results. This hands-on investigation invokes problem solving and reasoning, requires communication skills, and encourages identification of connections among various mathematical concepts. A Heads-or-Tails Toss encourages children to…

Suggests ways in which teachers can help students learn investigation and problem-solving skills on open investigation tasks. Includes matching the degree of openness of the investigations to the experience and skills of the student, providing scaffolding to support student decision making, and using formative and student self-assessment. (JRH)

Describes a group project concerning the Calendar Problem 9 in the January, 1993 Issue of this journal, students' methods for solving the problem, and an extension of the problem. (KHR)

Presents a problem entitled "Puzzling Prices" for grades K-6. Students are given a combination of price tags and must determine the different amounts of money that could be made using different combinations. (KHR)

Presents questions, explorations, and problems centered on data and surveys related to ice cream. (YDS)

Presents a problem and a variety of proportional reasoning strategies used by students to solve the problem. (YDS)

Presents the "Food for Thought" problem and discusses different approaches used by Algebra 1 students to solve the problem. (YDS)

Explores the mathematics of flight. Also contains a student worksheet. (YDS)

Shows the thinking used by students to solve the problem "Who Scored What?" that appeared in the February 2001 issue of this journal. (YDS)

Outlines a take-home assignment in which prospective teachers document solutions to a mathematics "story problem." (Author/NB)

Presents an investigation to engage students in real-life, open-ended data analysis. Allows students to analyze existing data along with data that they collect. Lists steps, necessary materials, and includes activity sheets. (Author/NB)

The concepts, processes, and methods found in science are used in other disciplines. Many science-class activities are predicated on students' reading and writing skills. Students read textbooks, read directions for conducting experiments, and write their own reports of observation. Integrating science with mathematics usually requires little…

Conducts a critical review of empirical research focused directly on reflection activities with prospective teachers, and conducts a study in the authors' own literacy methods courses to learn what their students do when asked to reflect on course assignments. Concludes that engaging future teachers in multiple opportunities to critique their own…