Building Number Sense Through the Common Core

Bradley S. Witzel, PhD, is an award-winning teacher and professor who works as an associate professor and education program coordinator at Winthrop University, the flagship education college for the state of South Carolina. As a classroom teacher, and before that as a paraeducator, he worked in multiple settings teaching mainly math and science to high-achieving students with disabilities. Dr. Witzel has written five books, including the best-selling Response to Intervention in Math through Corwin, as well as several dozen book chapters, research and practitioner articles, and training manuals. He has also produced six education videos and several hundred conference and workshop presentations. He is a selected member of the Governing Board of the Southeast Regional Educational Laboratory (REL), funded by the Institute of Education Sciences (IES), and of the Smarter Balanced Assessment Consortium (SBAC) Accessibility and Accommodations work group. Dr. Witzel currently serves as the editor of Focus on Inclusive Education through the Association for Childhood Education International (ACEI) and recently served as a panelist on the IES practice guide Assisting Students Struggling with Mathematics and as an invited reviewer of the final report from the National Mathematics Advisory Panel. Most importantly, he is a father of two, husband of an educator, and son of two educators. Paul J. Riccomini is an experienced classroom teacher, author, mathematician, and leading special education expert. Dr. Riccomini began his career as a dual-certified general education mathematics teacher of students with learning disabilities, emotional and behavioral disabilities, and gifted and talented students in Grades 7-12. He taught mathematics to both general and special education students in inclusive settings. He is coauthor of the best-selling Response to Intervention in Math (Corwin, 2009) book and is an associate professor of education at the Pennsylvania State University. His teaching experiences required him to have both strong content knowledge in mathematics and to develop and maintain strong collaborative relationships with both general and special educators. As a former middle and high school mathematics teacher, he knows firsthand the challenges faced by students who struggle in mathematics and recognizes the importance of early mathematics development. He hopes the writing of this book will assist teachers in their efforts to develop young mathematicians. Dr. Riccomini provides professional development in schools across the nation. His dynamic presentations offer research-validated practices that focus on the development of improved instructional practices for all students. Dr. Riccomini's written work includes numerous research and practitioner articles for students with and without learning disabilities, including one of the first books to address Response to Intervention in the area of mathematics. Additional publications he coauthored include three Tier 2 Interventions for the areas of fractions, integers, and simple equations. Marla Larson Herlong, MEd, earned her bachelor of science in early childhood and her master of education in curriculum and instruction with a concentration in mathematics at Winthrop University in South Carolina. An experienced classroom teacher, she has taught a wide variety of students from kindergarten through second grade. A popular speaker, she has presented several workshops and conference sessions in the areas of math intervention strategies, integrating content, teaching math through problem solving, data-driven assessments, and increasing student engagement. She is currently working on deconstructing assessments and aligning curriculum maps for the Common Core State Standards. Marla was born and raised in California and currently resides in Aiken, South Carolina, with her husband and daughter. , MEd, earned her bachelor of science in early childhood and her master of education in curriculum and instruction with a concentration in mathematics at Winthrop University in South Carolina. An experienced classroom teacher, she has taught a wide variety of students from kindergarten through second grade. A popular speaker, she has presented several workshops and conference sessions in the areas of math intervention strategies, integrating content, teaching math through problem solving, data-driven assessments, and increasing student engagement. She is currently working on deconstructing assessments and aligning curriculum maps for the Common Core State Standards. Marla was born and raised in California and currently resides in Aiken, South Carolina, with her husband and daughter.

Acknowledgments About the Authors 1. Introduction to the Characteristics of Number Sense 2. Redefining Mastery Through Long-Term Planning 3. Assessment and Progress Monitoring of Number Sense 4. Counting, Number Identification, and Early Addition and Subtraction 5. Building Computation Systems Through Place Value 6. Multiplication and Division 7. Applications in Algebra, Geometry, and Measurement 8. Using Math Language to Solve Problems 9. Mathematical Vocabulary and the Development of Early Mathematicians 10. The Next Steps to Teaching Number Sense Index

"With the adoption of the Common Core State Standards, this is the perfect resource! I've already begun using the strategies in the book with my fellow third grade teachers! The author describes how each standard should be taught, which makes this such a quick and immensely useful resource!" -- Deborah Gordon, Third Grade Teacher "This book reminds us of the need for rigorous and appropriate math education and then gives us the wherewithal to do such. It has great stores, wonderful examples, and will greatly help pre-service instruction as well as K-12 education. There absolutely needs to be more emphasis on math instruction in schools, and this book will lead the way!" -- David Bateman, Professor of Special Education "Witzel and Riccomini have demystified mathematics instruction! Building Number Sense is an evidence based, accessible manual on how to, why to, and what to teach in regards to the very foundation of mathematics understanding - number sense. Well written with effective examples and scenarios to illustrate key points, anyone interested in improving outcomes for children in mathematics should read this." -- Annmarie Urso, Ph.D.