Amazon best-selling author and professor of Mathematics Professor B.D. uses his teaching talents to explain the mathematics behind the Powerball lottery, and uses statistics in a way that anyone can learn and understand to introduce a new, 'smarter' method on how to play the lottery. As he promises there are no tricks or gimmicks here, just sound mathematical principals.

This book is designed to provide valuable insight into how to improve the return on your investment when playing the lottery. While it does not promise that you will win more often, it does show you how to improve the odds of winning larger amounts when your numbers do come up. So, when you do win that million-dollar jackpot, you will be less likel

One of the boys in the group responded, “That’s so smart! That’s so smart! That’s what we should do!” Complex Instruction (CI) is a response to the paradox that group work offers much potential but often creates circumstances where few students seem to learn. CI is a set of ideas and strategies that address the problems that confound group work, but that create powerful learning for children. This book offers guidance to readers on how to use these strategies and ideas. The authors describe the lessons they learned using group work, explain how complex instruction helps unsuccessful students and analyse how to design assignments that support group learning - using group-worthy tasks - giving readers examples of good tasks and help in adapting math problems from their own curricula.

"An elegant and amusing account" of how gambling has been reshaped by the application of science and revealed the truth behind a lucky bet (Wall Street Journal). For the past 500 years, gamblers-led by mathematicians and scientists-have been trying to figure out how to pull the rug out from under Lady Luck. In The Perfect Bet, mathematician and award-winning writer Adam Kucharski tells the astonishing story of how the experts have succeeded, revolutionizing mathematics and science in the process. The house can seem unbeatable. Kucharski shows us just why it isn't. Even better, he demonstrates how the search for the perfect bet has been crucial for the scientific pursuit of a better world.

THE FUTURE OF GAME DESIGN IN THE AGE OF AI: Can games measure intelligence? And how will artificial intelligence inform games of the future? In Playing Smart, Julian Togelius explores the connections between games and intelligence to offer a new vision of future games and game design. Video games already depend on AI. We use games to test AI algorithms, challenge our thinking, and better understand both natural and artificial intelligence. In the future, Togelius argues, game designers will be able to create smarter games that make us smarter in turn, applying advanced AI to help design games. In this book, he tells us how. Games are the past, present, and future of artificial intelligence. In 1948, Alan Turing, one of the founding fathers of computer science and artificial intelligence, handwrote a program for chess. Today we have IBM’s Deep Blue and DeepMind’s AlphaGo, and huge efforts go into developing AI that can play such arcade games as Pac-Man. Programmers continue to use games to test and develop AI, creating new benchmarks for AI while also challenging human assumptions and cognitive abilities. Game design is at heart a cognitive science, Togelius reminds us—when we play or design a game, we plan, think spatially, make predictions, move, and assess ourselves and our performance. By studying how we play and design games, Togelius writes, we can better understand how humans and machines think. AI can do more for game design than providing a skillful opponent. We can harness it to build game-playing and game-designing AI agents, enabling a new generation of AI-augmented games. With AI, we can explore new frontiers in learning and play.

Problems with the charts in your math kit? Want to discover the science of content-area charts? Wish you could make pre-fab social studies charts history? Then you're ready for Smarter Charts for Math, Science, and Social Studies! In the original Smarter Charts, Marjorie Martinelli and Kristi Mraz helped you turn classroom literacy charts into teaching powerhouses. Now they show how to turn up the instructional energy on content-area charts, too. "No matter what area of the curriculum, clear visuals, simple language, and constant reflection on charts are key to helping children gain independence and agency." You don't have to be a graphic designer or a subject-matter expert. In Smarter Charts for Math, Science, and Social Studies, Marjorie and Kristi share how they learned to make truly effective content-area charts with students. You'll turn complex ideas into kid-friendly visuals, help children internalize content processes, and even increase your instructional time. "The more we charted, the less repeating we did and the more teaching was possible." With dozens of examples from the content areas, including full-color photographs, the Chartchums reveal step by step how to create charts that show Routines, Genres and Concepts, Processes, Repertoires of Strategies, and Exemplars. Then their "Charts in Action" sections show how each type of chart builds engagement and improves independence as it gradually releases responsibility to learners. Don't be content with content-area charts made by someone else for generic students. Turn to Marjorie and Kristi for charts that make learning visible for the students in front of you, no matter what the subject. Check out these videos from the authors! Kristi Mraz and Marjorie Martinelli Show Us the Tools for Smarter Charts Chart tips from the ChartChums: Part 1 Drawing People Chart tips from the ChartChums: Part 2 Icons

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.