The key to good primary teaching of numeracy and mathematics is confidence in mathematical knowledge and its relevance to the real world. In particular, effective implementation of the National Numeracy Strategy requires student teachers, primary teachers and mathematics coordinators to realize the place of mathematics across the range of National Curriculum subjects.This book explores mathematics as a set of tools for thinking about, designing, evaluating and changing the world of...

The Roman legions were the formidable, highly organised and welldisciplined backbone of the Roman army, vital to maintaining order and control of the borders of the Empire and its subjugated peoples. The fortresses that were the bases of the legions reflected their values: purposeful, hierarchical and an intimidating display of Roman culture. But what was it like to live in one of these fortresses? What was the everyday experience of the legionary, centurion and commander? Life in a Roman ...

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of ...

The world's greatest mental mathematical magician takes us on a spellbinding journey through the wonders of numbers (and more)"Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance." -- Bill Nye (the science guy)The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice-cream scoops and poker hands to measuring mountains and making magic squares-this book revels in key mat...

Combining ideas from philosophy, artificial intelligence, and neurobiology, Daniel Dennett leads the reader on a fascinating journey of inquiry, exploring such intriguing possibilities as: Can any of us really know what is going on in someone else's mind? What distinguishes the human mind from the minds of animals, especially those capable of complex behavior? If such animals, for instance, were magically given the power of language, would their communities evolve an intelligence as subtly...

"Part magic show, part history lesson, and all about geometry, How Round Is Your Circle? is an eloquent testimonial to the authors' passion for numbers." — Civil EngineeringHow do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and ...

Logic is the backbone of Western civilization, holding together its systems of philosophy, science and law. Yet despite logic's widely acknowledged importance, it remains an unbroken seal for many, due to its heavy use of jargon and mathematical symbolism.This book follows the historical development of logic, explains the symbols and methods involved and explores the philosophical issues surrounding the topic in an easy-to-follow and friendly manner. It will take you through the influence ...

Peterson's provides an in-depth review of the GMAT Quantitative Section. A 5-step plan for problem solving and a 5-step plan for data sufficiency problems are included along with several examples and explanations.

If people are endowed with a "number instinct" similar to the "language instinct" -- as recent research suggests -- then why can't everyone do math? In The Math Gene, mathematician and popular writer Keith Devlin attacks both sides of this question. Devlin offers a breathtakingly new theory of language development that describes how language evolved in two stages and how its main purpose was not communication. Devlin goes on to show that the ability to think mathematically arose o...

Every year, thousands of students go to university to study mathematics (single honours or combined with another subject). Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, ...

This book was written for high school students and teachers who love exploring beyond standard math curricula for a deeper understanding of the principles and applications of mathematics. It is also for anyone who loves the pursuit of a problem solution, including both professional and amateur mathematicians. The vehicle that transports us through this exploration is the study and solution of classical and advanced math problems.As a high school math student, an engineer, a busines...

Early Mathematical Explorations shows readers how to provide young children with rich mathematical learning environments and experiences. This book presents teachers with a sound theoretical framework to encourage children to become numerate in the twenty-first century. It shows that mathematical learning can occur in a variety of ways, including when children explore ideas through play, problem solving and problem posing; engage in a rich variety of multimodal learning experiences; pursue...