What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades? How much do you know... and how much do you need to know? Helping your upper elementary school students develop a robust understanding of rational numbers requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about rational numbers. It is organized around four big ideas, supported by multiple smaller, interconnected ideas essential understandings. Taking you beyond a simple introduction to rational numbers, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.

Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3–5

William Fisher

Rick Marks

Sharon Ross

Rose Mary Zbiek

Carne Clarke

NCTM

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Books by William Fisher

See the best price to sell, buy, or rent books by William Fisher. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3–5