Presents an approach for illustrating, on an intuitive level, the significance of loop invariants for algorithm design and analysis. The illustration is based on mathematical games that require the exploration of regularities via problem-solving heuristics. (Author/MM)

The author describes a classroom game demonstrating the process of adjustment to long-run equilibrium in a market consisting of price-taking firms. This game unites and extends key insights from several simpler games in a framework more consistent with the standard textbook model of a competitive industry. Because firms have increasing marginal…

Library media specialists find themselves in a challenging position today. They know that the Internet opens up information access in exciting ways, so they do not want to scare people; but they do need to inform them about practices for using the Internet that will keep young people safe. They have a responsibility to inform other educators,…

Career and technical educators often attend professional development events looking for new ideas to take back to their classrooms. Mark Steedly teaches sports marketing at Winton Woods High School in Ohio as part of a satellite program of the Great Oaks Institute of Technology and Career Development, and last year he used "The Apprentice" as part…

Challenging formal education's traditional monopoly over the mass-scale acculturation of youth, the technological infrastructure of the new economy brings in its wake a new attentional economy in which any connected adult or child owns and controls a full economic share of her or his own attention. For youth who have never known the text-bound…

Playwork is a respected field of study composed of experts who have studied the theories and practices of play for the purposes of training other individuals in best practices to better facilitate children's play. The profession is founded on the belief that play is an essential childhood element and the right of every child. In this article, the…

Teachers incorporate the chaos game and the concept of a fractal into various areas of the algebra and geometry curriculum. The chaos game approach to fractals provides teachers with an opportunity to help students comprehend the geometry of affine transformations.

Different types of smiling varying in amplitude of lip corner retraction were investigated during 2 mother-infant games--peekaboo and tickle--at 6 and 12 months and during normally occurring and perturbed games. Using Facial Action Coding System (FACS), infant smiles were coded as simple (lip corner retraction only), Duchenne (simple plus cheek…

In this article, I shall argue for the value of conceptualizing, and practicing art education as a kind of play or game, drawing inspiration from the concepts of finite and infinite games articulated by philosopher James Carse (1986). In so doing, I seek to encourage a continuing dialogue with the assumptions that constrain the theoretical basis…

Several major tasks of a professional educator is to motivate students, impart the proper subject content, instill critical thinking, and encourage a measure of self-confidence that will go beyond the classroom. However, all too often physical educators encounter situations where less skilled students are not only unmotivated, but feel isolated…

This article presents a childhood beyond the Confucian shadow by studying children at play. It looks at the Confucian image of the ideal child and its association with the traditional Chinese perceptions of play and the education of children. Against this conceptual and historical discussion, children's games and toys are analysed to provide an…

Vocabulary is important, yet instruction in word meaning is often tedious and ineffective. This article presents motivating and time-efficient strategies for introducing and practicing the meaning vocabulary students will encounter across subject areas and texts in school. In the "Semantic Impressions" word-introduction strategy, students write a…

The TAKEOVER TRIO is a business game about a takeover. Three stakeholders (mother company, ailing daughter company, and potential buying company) must agree on a plan to prevent compulsory liquidation of the daughter. The primary learning objective is to make participants aware of the effect of negotiation process parameters on its outcome.…

This article is a short introduction on how to use Modellus (a computer package that is freely available on the Internet and used in the IOP "Advancing Physics" course) to build physics games using Newton's laws, expressed as differential equations. Solving systems of differential equations is beyond most secondary-school or first-year college…

This study evaluated the effects of educational games on the performance of eight elementary school students with learning disabilities. The effects of educational games were evaluated in a multiple baseline design across students. The results indicated that each student improved their performance on reading when educational games were in effect.…