Presents a logical reasoning problem pivotal to the novel "Harry Potter and the Sorcerer's Stone" and discusses it at two levels. (Author/NB)

Describes how assigning challenging problems can help students become better problem solvers and encourages them to practice the art of clear written communication. (YDS)

Describes students' generalization strategies and justifications as they engage in patterning activities. (YDS)

Investigates and explores questions and activities related to using a calendar. Students explore number sense and operations, logical reasoning, data analysis, probability, and algebra. (Author/NB)

Explores how an elimination game played for fun turned into an extended exploration of mathematical problem solving and reasoning. (Author/NB)

Investigates and explores questions and activities on pets. Students explore number sense and operations, logical reasoning, data analysis, and algebra. (Author/NB)

Presents the Picasso Masterpiece problem to develop spatial reasoning in students. Addresses the National Council of Teachers of Mathematics (NCTM) Geometry Content Standards. (Author/NB)

Presents an activity that focuses on fractions. Students engage in number sense and operations, logical reasoning, writing, and real-world applications of fraction concepts. (Author/NB)

Describes how students develop proportional reasoning through problem solving. Identifies the essential components of proportional reasoning and includes recommendations for instruction. (YDS)

Describes the use of paper folding to create a rich environment for discussing algebraic concepts. Explores the effect that changing the dimensions of two-dimensional objects has on the volume of related three-dimensional objects. (Contains 13 references.) (YDS)

A problem concerning circles and points from a comic strip is presented. Its solution, using coordinate geometry, is then presented. The problem demonstrates how much one can learn by looking beyond the simple or partial solutions to a problem. (MNS)

The technique of using "seed problems" involves starting with a simple problem and seeing how far it leads. It may inspire different, related problems, or it may be approached with varied tools. Problems related to points and lines, pyramids, Pythagorean quadruples, and regular pentagons are discussed. (MNS)

Three pieces of computer software are described and reviewed: HyperCard, to build and use varied applications; Iggy's Gnees, for problem solving with shapes in grades kindergarten-two; and Algebra Shop, for practicing skills and problem solving. (MNS)

Investigates the problem of finding the expected number of questions necessary to identify 1 out of a set of 30 attribute blocks. Solutions include the use of a tree diagram or a computer simulation. Generalizes the problem for increased numbers of attributes. (MDH)

Offers examples of games and problem-solving strategies to help students solve word problems in mathematics. Emphasizes the importance of first considering the question the word problem poses and using game techniques to teach students how to transfer those same strategies to solve different math problems. (TJQ)