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How do we love numbers? Let us count the ways: They're on street signs and bus stops, featured on phones, thermometers, chalkboards, and scales. They show the time and the date, and help us to measure distance, sizing, and so much more. This spirited picture book by beloved author-illustrator Taro Gomi will charm and inform the youngest of readers, offering them a unique—and useful—look at a key concept we count on. Plus, this is the fixed format version, which looks almost identical to the print edition.
This book was written to help Pre-K through 4th educators recognize the complexities of the mathematics young children are expected to learn, and to identify what is required for children to develop an understanding of number concepts.
News about this title: — Author Marty Weissman has been awarded a Guggenheim Fellowship for 2020. (Learn more here.) — Selected as a 2018 CHOICE Outstanding Academic Title — 2018 PROSE Awards Honorable Mention An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject.
The authors report the results of some half dozen years of research into when and how children acquire numerical skills. They provide a new set of answers to these questions, and overturn much of the traditional wisdom on the subject. Table of Contents: 1. Focus on the Preschooler 2. Training Studies Reconsidered 3. More Capacity Than Meets the Eye: Direct Evidence 4. Number Concepts in the Preschooler? 5. What Numerosities Can the Young Child Represent? 6. How Do Young Children Obtain Their Representations of Numerosity? 7. The Counting Model 8. The Development of the How-To-Count Principles 9. The Abstraction and Order-Irrelevance Counting Principles 10. Reasoning about Number 11. Formal Arithmetic and the Young Child's Understanding of Number 12. What Develops and How Conclusions References Index Reviews of this book: The publication of this book may mark a sea change in the way that we think about cognitive development. For the past two decades, the emphasis has been on young children's limitations... Now a new trend is emerging: to challenge the original assumption of young children's cognitive incapacity. The Child's Understanding of Number represents the most original and provocative manifestation to date of this new trend. --Contemporary Psychology Reviews of this book: Here at last is the book we have been waiting for, or at any rate known we needed, on the young child and number. The authors are at once sophisticated in their own understanding of number and rich in psychological intuition. They present a wealth of good experiments to support and guide their intuitions. And all is told in so simple and unalarming a manner that even the most pusillanimous will be able to read with enjoyment. --Canadian Journal of Psychology
Based on, an interactive learning teaching methodology; this is an excellent book for kids, parents & teachers. The book makes kids learning and observation faster. They learn numbers and counting. In most simple way, it makes kids to know the numbers and their relationship with objects. More so they would feel pleasure to trace numbers hidden inside interesting pictures. The book has well-researched photos making it the ideal book for toddlers and babies to learn and develop observational skills. Pictures includes fruits, modes of transport, birds, animals, baby objects, toys, things at home & environment.
Teach kids to count and read at the same time! Know Your Numbers: Nature introduces early readers to numbers by paring them with simple sentences about nature. Beautiful photos and graphics tie the written, numeral, and visual forms of each number together. For instance, one page has a picture of 16 seashells, a sentence about them, and four different ways to see the number sixteen. Help early learners gain reading practice and counting skills while building an interest in numbers. Aligned to Common Core standards and correlated to state standards. Sandcastle is an imprint of Abdo Publishing, a division of ABDO.
We use software every day to perform all kinds of magical, powerful tasks. It's the force behind stunning CGI graphics, safe online shopping, and speedy Google searches. Software drives the modern world, but its inner workings remain a mystery to many. How Software Works explains how computers perform common-yet-amazing tasks that we take for granted every day. Inside you'll learn: –How data is encrypted –How passwords are used and protected –How computer graphics are created –How video is compressed for streaming and storage –How data is searched (and found) in huge databases –How programs can work together on the same problem without conflict –How data travels over the Internet How Software Works breaks down these processes with patient explanations and intuitive diagrams so that anyone can understand—no technical background is required, and you won't be reading through any code. In plain English, you'll examine the intricate logic behind the technologies you constantly use but never understood. If you've ever wondered what really goes on behind your computer screen, How Software Works will give you fascinating look into the software all around you.
"Engaging reproducible activity pages that help kids recognize, write, and really learn the numbers 1 through 30"--Cover.
Numbers from one to one hundred climb to the top of an apple tree in this rhyming chant.