This invaluable resource helps beginning educators focus on the big ideas in teaching mathematics and promote student engagement.This invaluable resource helps beginning educators focus on the big ideas in teaching mathematics and promote student engagement. I wish I'd had this book when I began teaching years ago. An excellent, concise book for novice mathematics teachers, with?good ideas for experienced teachers as well. Helps new educators handle classroom math challenges through examples of effective teaching methods for math. Acknowledgments About the Authors Introduction 1. A Glimpse at Mathematics Instruction Two Illustrations Success in Teaching Mathematics Summary 2. Standards-Based Teaching Why Do We Need Standards for Teaching Mathematics? The National Council of Teachers of Mathematics Principles and Standards State and District Standards for Teaching Mathematics The Relationship Between Standards and Standards-Based Mathematics Textbooks NCTM Curriculum Focal Points Examples of Standards-Based Activities Involving Algebraic Thinking Summary 3. Engaging Students in Learning Mathematics What Is Engagement? Engaging Learners in the Affective Domain Affective Issues Related to Teaching and Learning Mathematics Students Engaged in Learning Probability Summary 4. Engagement Strategies for Special Populations The Special Needs Learner The Gifted Learner The English Language Learner Example of Engaging Learners in a Mathematics Classroom Summary 5. Assessment Developing Assessments: The Use of Backward Design Types of AlÓ$