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Forthcoming June 2012: "From the pyramids and the Parthenon to the Sydney Opera House and the Bilbao Guggenheim, this book takes readers on an eye-opening tour of the mathematics behind some of the world's most spectacular buildings. Beautifully illustrated, the book explores the milestones in elementary mathematics that enliven the understanding of these buildings and combines this with an in-depth look at their aesthetics, history, and structure."

Prometheus Books The Glorious Golden Ratio [978-1-61614-423-4] - "For centuries, mathematicians, scientists, artists, and architects have been fascinated by a ratio that is ubiquitous in nature and is commonly found across many cultures. It has been called the "Golden Ratio" because of its prevalence as a design element and its seemingly universal esthetic appeal. From the ratio of certain proportions of the human body and the heliacal structure of DNA to the design of ancient Greek statues and temples as well as modern masterpieces, the Golden Ratio is a key pattern that has wide-ranging and perhaps endless applications and manifestations. What exactly is the Golden Ratio? How was it discovered? Where is it found? These questions and more are thoroughly explained in this engaging tour of one of mathematics' most interesting phenomena. With their talent for elucidating mathematical mysteries, veteran educators and prolific mathematics writers Alfred S. Posamentier and Ingmar Lehmann begin by tracing the appearance of the Golden Ratio throughout history. They demonstrate a variety of ingenious techniques used to construct it and illustrate the many surprising geometric figures in which the Golden Ratio is embedded. They also point out the intriguing relationship between the Golden Ratio and other famous numbers (such as the Fibonacci numbers, Pythagorean triples, and others). They then explore its prevalence in nature as well as in architecture, art, literature, and technology. "

Abstract: "How can smartphones apps enrich the learning of mathematics in vocational education? This article examines how mathematics teaching can be enriched by apps using smartphone sensors such as gyroscope, compass, camera, and touch screen in a gaming context. An iterative and participatory design process involving two classes of carpentry students from different vocational colleges resulted in two highly successful and course-relevant games based on trigonometry. Each game consists of quests and missions whose successful completion unlocks more theoretical multiple-choice exercises for the classroom. The combination of competition to unlock exercises, competition for placing on the high-score list, and physical activity proved very motivating for the students and was also approved by their teachers. In this article we describe our design principles, the overall game architecture and the games themselves. We talk about our experience in implementing our design process and subsequently summarize the pros and cons of the application and the smartphone platform and how the app developed contributes to vocational mathematics teaching"