Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points

    Aimed at accountants or readers of other career paths, this book helps them build their decision making skills and understand how to use accounting information to make quality business decisions.

    Cases, datasets, and examples allow for a more real-world perspective and explore relevant uses of regression techniques in business today.

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    This is a book about how many of the 'big' philosophical and religious questions that have puzzled mankind for centuries can be answered by recent breakthroughs in science.

     This book is perfect for history lovers. Author James Weber did the research and compiled this huge list of events that changed the course of history forever. Some of them include: - The first civilization in Mesopotamia in 3,000 B.C. - The Norman Invasion of England in 1066 - The invention of the printing press by Johannes Guttenberg around 1450 - The French Revolution in 1789 - The first motorized airplane flight in 1903 - The Moonlanding in 1969 and many many more The book includes pictures and explanations to every event, making this the perfect resource for students and anyone wanting to broaden their knowledge in histoy. Download your copy now! Tags: history, world history, history books, history of the world, human history, world history textbook, history books for kids, earth history, geographic history, earth history kindle, human history, history books for kids age 9 12, history of the world part 1, a little history of the world, history books for kids age 7-9, history books for young readers, history books for children, history books for kindle,

    In his first two books, Dr. Dale Bredesen outlined the revolutionary treatments that are changing what had previously seemed like the inevitable outcome of cognitive decline and dementia. And in these moving narratives, you can hear directly from the first survivors of Alzheimer's themselves--their own amazing stories of hope told in their own words. These first person accounts honestly detail the fear, struggle, and ultimate victory of each patient's journey. They vividly describe what it is like to have Alzheimer's. They also drill down on how each of these patients made the program work for them--the challenges, the workarounds, the encouraging results that are so motivating. Dr. Bredesen includes commentary following each story to help point readers to the tips and tricks that might help them as well.Dr. Bredesen's patients have not just survived; they have thrived to rediscover fulfilling lives, rewarding relationships, and meaningful work. This book will give unprecedented hope to patients and their families.

    But in the scalp of a balding man, they do not get everything they need and as a result, the hair-producing cells gradually die off. Here we have an example of a mild ‘disease’ which is caused by cellular malnutrition.” —Dr. Roger J. Williams “A living cell requires energy not only for all of its functions, but also for maintenance of its structure.” —Nobel Laureate Albert Szent-Györgyi "What could be more important to understand than biological energy? Thought, growth, movement, every philosophical and practical issue involves the nature of biological energy.” —Raymond Peat, PhD ======== The Current View of Pattern Hair Loss is Unproductive (and Dangerous) While it is often stated with great confidence that pattern pattern hair loss is the result of defective genes and "male" androgenic hormones (e.g., dihydrotestosterone or DHT), the theory is physiologically unsound. After 60 years of research the "genetic-androgen" hypoheses has produced a single FDA-approved "therapy" that works less than 50% the time and can result in permanent chemical castration (Minoxidil is a nonstarter for many men and women). In contrast, castrates and pseudohermaphrodites--who serve as the foundation for all baldness research--are protected from pattern hair loss 100% of the time. Steps Towards a 'Bioenergetic' View of Pattern Hair Loss Standing on the shoulders of giants (e.g., Otto Warburg, Albert Szent-Györgyi, Gilbert Ling, Ray Peat and others), HAIR LIKE A FOX sets up an alternative 'bioenergetic model' of pattern hair loss with a focus on the smallest unit of life, the cell. This same context elucidates simple yet effective therapies for halting and perhaps reversing pattern hair loss in a way that harmonizes with our unique physiology.

    Perform this genius seemingly-mathematical feat on any napkin, any receipt, or even on your friend's arm.You can learn the famous Magic Square, and you can learn it in under 10 minutes.You will have a magician's Grand Finale, in your hands at any moment. This gets audible gasps, and you can wow people with this for the rest of your life...**************************THE PERFORMANCE:**************************Your friend will name a random number. You then speedily write 16 different numbers into a 4x4 grid. With a smug flourish, you then reveal that all combinations and directions within the grid add up to their chosen number. It is simply mind-blowing.Effortlessly perform a trick that it seems only a computer could perform, and learn how in 10 minutes from right now.

    In 1985 Hans von Ohain, the scientist who pioneered Nazi Germany's efforts to build a jet plane, posed the question: 'Would World War II have occured if the Luftwaffe knew it faced operational British jets instead of Spitfires?' He immediately answered, 'I, for one, think not.'Frank Whittle, working-class outsider and self-taught enthusiast, had worked out the blueprint of a completely new type of engine in 1929, only for his ideas to be blocked by bureaucratic opposition until the outbreak of war in 1939. The importance of his work was recognized too late by the government for his revolutionary engine to play a major part in World War II. After the war Whittle's dream of civilian jet-powered aircraft became a reality and Britain enjoyed a golden age of 1950's jet-powered flight.Drawing on Whittle's extensive private papers, Campbell-Smith tells the story of a stoic and overlooked British hero, a tantalizing tale of 'what might have been'.

    This hilarious and informative book is designed for anyone who is sci-curious and wants to know more about the world around them, especially the elements of everyday science that other books ignore.

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    

    No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.