Discusses reasons why problem solving has failed. Offers an alternative approach--the use of investigations in mathematics instruction. Lists the characteristics of an idealized classroom. (ASK)

Introduces The Square Thing, a lesson that engages and invites student development of problem solving and reasoning skills, understanding through connections within the content, and mathematics voice. Describes components for successful pedagogy and benefits for students experiencing this and similar mathematics pedagogies. (Author/MM)

Explains the concept of mole and presents a teaching approach in which students can experiment with atoms and develop an understanding of mass ratios. Presents 10 examples of chemistry problems involving moles and unit conversations. (YDS)

Evidence-based medicine--the process of using research findings systematically as the basis for clinical decisions--can be taught using problem-solving teaching methods. Evaluates whether it was possible to motivate students to use the original literature by giving them selected patient problems to solve. (Author/ASK)

Reviews the problem solving approach in chemistry and explains effective instructional methods for teaching problem solving. (YDS)

An acronym, a word formed from the first letters of other words, is often used to name products or organizations. For example, when Hermione Granger, a very clever student at Hogwarts School of Witchcraft and Wizardry, is enraged over the wizarding world's treatment of house-elves, she creates an organization to help put an end to this injustice.…

This article discusses the benefits of constructivism for both teachers and students. The author believes that teachers can increase student engagement in expressive performance learning without giving up performance quality.

Two questions are asked that concern the work of teaching high school geometry with problems and engaging students in building a reasoned conjecture: What kinds of negotiation are needed in order to engage students in such activity? How do those negotiations impact the mathematical activity in which students participate? A teacher's work is…

Many students with disabilities require specialized instructional interventions and frequent progress monitoring in reading. The guided repeated oral reading technique promotes oral reading fluency while providing a reliable data-based monitoring system. This article emphasizes the importance of problem-solving when using this reading approach.

The new Grade-Level Content Expectations (GLCEs) are addressed meaningfully through the well-organized district curriculum and text materials that embody the coherence called for in the National Council of Teachers of Mathematics' (NTCM) "Principles and Standards." The GLCEs helped to fine-tune the direction of exploratory lessons and…

A mother and daughter share their insights on what American schools can learn about cooperative, student-centered, problem-solving approaches to instruction from the Hogwarts School of Witchcraft and Wizardry in the Harry Potter books. (Contains 11 references.) (PKP)

As with natural numbers, a greatest common divisor of two Gaussian (complex) integers "a" and "b" is a Gaussian integer "d" that is a common divisor of both "a" and "b". This article explores an algorithm for such gcds that is easy to do by hand.

Using the problem of determining where a Flatland artist was standing, this article takes another look at perspective.

Not only are rubber bands great for binding objects together, but they can be used in a simple science experiment that involves predicting, problem solving, measuring, graphing, and experimenting. In this article, the author describes how rubber bands can be used to teach the force of mass.

In order to facilitate the transition from learning from worked examples in earlier stages of skill acquisition to problem solving in later stages, it is effective to successively fade out worked solution steps--in comparison to the traditional method of employing example--problem pairs that is frequently used in cognitive-load research. In the…