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

Download or read book Developing Essential Understanding of Expressions, Equations, and Functions for Teaching Mathematics in Grades 6-8 written by Gwendolyn M. Lloyd and published by National Council of Teachers of English. This book was released on 2011 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do some equations have one solution, others two or even more solutions and some no solutions? Why do we sometimes need to ""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 organised 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.