You don't have to be a mathematician to appreciate these intriguing problems and puzzles, which focus on insight and imagination rather than technique. Includes hints and solutions.

An Anthropology of Puzzles argues that the human brain is a "puzzling organ" which allows humans to literally solve their own problems of existence through puzzle format. Noting the presence of puzzles everywhere in everyday life, Marcel Danesi looks at puzzles in society since the dawn of history, showing how their presence has guided large sections of human history, from discoveries in mathematics to disquisitions in philosophy. Danesi examines the cognitive processes that are involved in puzzle making and solving, and connects them to the actual physical manifestations of classic puzzles. Building on a concept of puzzles as based on Jungian archetypes, such as the river crossing image, the path metaphor, and the journey, Danesi suggests this could be one way to understand the public fascination with puzzles. As well as drawing on underlying mental archetypes, the act of solving puzzles also provides an outlet to move beyond biological evolution, and Danesi shows that puzzles could be the product of the same basic neural mechanism that produces language and culture. Finally, Danesi explores how understanding puzzles can be a new way of understanding our human culture.

First published in 1993. This series has been written for trainee teachers wishing to improve their teaching skills as well as for in-service teachers, especially those engaged in the supervision of trainees. The book provides an overview of mathematics teaching at secondary level and links established mathematics content to recent curriculum developments in mathematics teaching in England and Wales and in Scotland. The main purpose of the book is to instigate and complement good mathematics teaching practice in our classrooms.

Scientific evidence for the origin of speech is abundant, but evidence for the origin of language as separate from speech as a naming system remains speculative. What evidence can be utilized that will furnish relevant insights on the origin or language? This book attempts to provide an answer by suggesting that the first riddles of humanity, along with the first myths, reveal that language may have emerged as a mode of reflection via metaphor—a mode that involves blending speech forms together to produce complex, abstract cognition.

Why was the number of Hardy's taxi significant? Why does Graham's number need its own notation? How many grains of sand would fill the universe? What is the connection between the Golden Ratio and sunflowers? Why is 999 more than a distress call? All these questions and a host more are answered in this fascinating book, which has now been newly revised, with nearly 200 extra entries and some 250 additions to the original entries. From minus one and its square root, via cyclic, weird, amicable, perfect, untouchable and lucky numbers, aliquot sequences, the Cattle problem, Pascal's triangle and the Syracuse algorithm, music, magic and maps, pancakes, polyhedra and palindromes, to numbers so large that they boggle the imagination, all you ever wanted to know about numbers is here. There is even a comprehensive index for those annoying occasions when you remember the name but can't recall the number.

Upon publication, the first edition of the CRC Concise Encyclopedia of Mathematics received overwhelming accolades for its unparalleled scope, readability, and utility. It soon took its place among the top selling books in the history of Chapman & Hall/CRC, and its popularity continues unabated. Yet also unabated has been the d

Articles about the uses of active, exploratory geometry carried out with interactive computer software.