The book synergizes research on number across two disciplines—mathematics education and psychology. The underlying problem the book addresses is how the brain constructs number. The opening chapter frames the problem in terms of children’s activity, including mental and physical actions. Subsequent chapters are organized into sections that address specific domains of number: natural numbers, fractions, and integers. Chapters within each section address ways that children build upon biological primitives (e.g., subitizing) and prior constructs (e.g., counting sequences) to construct number. The book relies on co-authored chapters and commentaries at the end of each section to create dialogue between junior faculty and senior researchers, as well as between psychologists and mathematics educators. The final chapter brings this work together around the framework of children’s activity and additional themes that arise in the collective work. The book is aimed to appeal to mathematics educators, mathematics teacher educators, mathematics education researchers, educational psychologists, cognitive psychologists, and developmental psychologists.

Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.

With this book, children can learn the numbers 1 to 20 while getting "e;in shape"e;! Each page shows children using their bodies to make the shape of numbers, alongside simple printed versions of each number. The book complements the similar Alphabet Fun title.

A concise introduction to personal and professional numeracy skills, helping readers to become more mathematically competent.

"Sense-making makes mathematics personal, and when it's personal, it comes to life. And that's how Number Talks can really make a difference."--Ruth Parker and Cathy Humphreys How teachers react to wrong answers and mistakes makes all the difference in mathematics class. The response can determine whether a student tunes out or delves in. In this comprehensive sequel to Making Number Talks Matter, Ruth Parker and Cathy Humphreys explore more deeply the ways Number Talks can transform student understanding of mathematics. Through vignettes and videos, you'll meet teachers who are learning to listen closely to students and prompting them to figure things out for themselves. You'll learn how they make on-the-spot decisions, continually advancing and deepening the conversation. Personal and accessible, this book highlights: The kinds of questions that elicit deeper thinking Ways to navigate tricky, problematic, or just plain hard exchanges in the classroom How to more effectively use wait time during Number Talks The importance of creating a safe learning environment How to nudge students to think more flexibly without directing their thinking This book offers a rich assortment of ideas to help make Number Talks even more vibrant and meaningful for you and your students.

The essential tool kit to achieve breakthrough sales performance improvements. Numbers don’t lie: 40 percent of all salespeople miss their targets each year. How can sales managers ensure their teams are doing everything possible? The key lies in benchmarking, which is not new for finance or manufacturing but rarely gets applied to sales. Making the Number will teach executives to embrace data-driven decision making and rely less on gut instinct. Comparing a sales force to those of relevant peers leads to many opportunities to improve performance. The authors take readers through their five-step methodology for sales benchmarking, showing how to select metrics; gather, compute, and compare internal and external data; and then actually use the data. Making the Number includes case studies of sales benchmarking in action. For example, find out how Discover Financial Services plays David to the Goliaths of MasterCard and Visa. Whether you’re a sales rep, a manager, or a CEO, this book will show you a better way to make your number.

Explains how children between the ages of four and eight construct a deep understanding of numbers and the operations of addition and subtraction.