Acknowledgments About the Authors Introduction 1. A Glimpse at Mathematics Instruction Two Illustrations Vignette 1: Algebra I-Shake Across America Discussion Adaptations and Extensions Vignette 2: Seventh Grade-Surface Area With Polydron Shapes Discussion Adaptations and Extensions Success in Teaching Mathematics Summary 2. Standards-Based Teaching Why Do We Need Standards for Teaching Mathematics? The National Council of Teachers of Mathematics (NCTM) Principles and Standards State and District Standards for Teaching Mathematics The Relationship Between Standards and Standards-Based Mathematics Textbooks Aligning Algebraic Reading With the Process Standards Summary 3. Engaging Students in Learning Mathematics What Is Engagement? Engaging Learners in the Affective Domain Vignette 1: Math Clubs Vignette 2: Seventh Grade-Math Jeopardy Glasser's Five Basic Needs Vignette 3: Increasing a Student's Confidence in Mathematics A Fresh Look at Math Clubs and Math Jeopardy Affective Issues Related to Teaching and Learning Mathematics Students Engaged in Learning Probability Engaging Learners in the Behavioral Domain Engaging Learners in the Cognitive Domain Summary 4. Engagement Strategies for Special Populations Vignette 1: Disparate Learners in Algebra I The Special Needs Learner The Gifted Learner The English Language Learner Examples of Engaging Learners in a Mathematics Classroom Vignette 2: Permutations, Counting, and Ice Cream Cones Discussion Summary 5. Assessment Types of Assessment Rubrics Developing Assessments: The Use of Backward Design Grading and Assessment Schemes Practical Ways of Assessing Throughout the Instructional Process Tailoring Assessments for Special Populations Data Driven Instructional Practices A Word About Standardized Tests Summary 6. Putting It All Together The Year at a Glance: Designing Your Curriculum Making Connections Within Mathematics Mathematical Connections Across the Grades More Connections Across the Grades Making Connections Across the Curriculum Succeeding at Teaching Mathematics-and Loving It! Appendix A: Solutions to Shake Across America Appendix B: Solution to the Following Problem From the Polydron Vignette Appendix C: The Dart Board Game Solution Appendix D: Generalization for Original Pizza Problem References Index
"Here is a resource that all math teachers can use. This book maps out a road to success by incorporating best practices, innovative ideas, and proven strategies that will help any teacher reach today's students. It is filled with illustrations and explanations on how to turn your classroom into an active learning environment that appeals to the students of the 21st century. This book is an invaluable resource in transforming my classroom-now my students want to come to math class, and they are learning!" -Amanda McKee, Mathematics Teacher Florence County School District #5, Johnsonville, SC All the support and guidance new mathematics teachers need-in one invaluable resource! In today's world of increased accountability, teaching mathematics offers more challenges than ever before. This resource helps beginning teachers get off to a great start by providing information on everything from assessment to standards-based teaching to student engagement strategies. The authors focus on NCTM content and process standards and offer guidelines for instructing and assessing English language learners, students with special needs, and gifted students. Filled with practical strategies as well as helpful classroom vignettes that encourage thought-provoking discussions on teaching middle and high school mathematics, this guide shows teachers how to: Focus on the big ideas in teaching mathematics Design a curriculum that is meaningful Differentiate instruction to include all learners Engage students by meeting their affective, behavioral, and cognitive needs Use a variety of methods to assess students' understanding Covering the key elements to successful teaching, this essential mathematics resource helps beginning educators lead their class with confidence!
Cheryl D. Roddick is an associate professor in the Department of Mathematics at San Jose State University. She currently teaches mathematics and mathematics methods courses to students in K-12 education. She also supervises field experiences for student teachers at the secondary level. Roddick's research interests include the conceptual understanding of fractions and teacher change relative to teaching mathematics. She has presented her research in local as well as national mathematics education conferences. She also facilitates K-12 inservice activities with teachers in local school districts. Julie Sliva Spitzer brings a rich background in mathematics, technology, and special education. As an associate professor of mathematics education at San Jose State University, she teaches methods of mathematics instruction to aspiring educators and supervises their field experiences. Julie continues to enjoy inservice work with teachers Grades K-12. Julie's research interests include studying teacher and student attitudes toward teaching and learning mathematics, and best practices for teaching mathematics to learners with special needs. She is a frequent presenter at the National Council of Teachers of Mathematics Annual Meetings, the California Mathematics Annual Conference, and the International Group for the Psychology of Mathematics Education, North American Chapter.