Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6–8

by Gwendolyn M. Lloyd, Beth Herbel-Eisenmann, Jon R. Star

Why do some equations have one solution, other two or even more solutions, and some no solutions? Why do we sometimes need switch the direction of an inequality symbol in solving an inequality? What could you say if a student described a function as an equation? How much do you know...and how much do you need to know? Helping your students develop a robust understanding of expressions, equations, and functions requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about expressions, equations, and functions. It is organized around five big ideas, supported by multiple smaller, interconnected ideas essential understandings.Taking you beyond a simple introduction to expressions, equations, and functions, 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.

128 pages, Paperback

First published October 21, 2011

Reviews

[Monique · Rating 5 out of 5]

Great book for teachers to deepen their knowledge on topics they have to teach. I had a good grasp of the first half of the book, but the second half was really helpful. This book covered a lot of ground on linear functions, but the end talked about quadratic and exponential functions, too. Great reflection questions. I recommend this series to any teacher who wants to improve their understanding of the concepts we have to teach our kids.