Figuring Out Fluency - Addition and Subtraction With Whole Numbers: A Classroom Companion (Corwin Mathematics Series)

Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Addition and Subtraction with Whole Numbers. With this book, teachers can: • Dive deeper into the Significant Strategies for fluency explained in the anchor book • Learn how these strategies grow from and relate to the basic fact strategies children learn • Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers • Find activities for assessing all components of addition and subtraction fluency plus support for engaging families • Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers. Cover Contents Preface Acknowledgments About the Authors PART 1 FIGURING OUT FLUENCY: KEY IDEAS What Is Fluency With Whole Number Addition and Subtraction? Why Focus on Fluency for Whole Number Addition and Subtraction? What Do Fluency Actions Look Like for Whole Number Addition and Subtraction? What Foundations Do Students Need to Develop Fluency With Addition and Subtraction? What Automaticities Do Students Need Beyond Their Basic Facts? What Are the Significant Strategies for Adding and Subtracting Whole Numbers? How Do I Use the Part 2 Modules to Teach, Practice, and Assess Strategies? How Do I Use Part 3 to Support Students’ Fluency? In Sum, Making a Difference PART 2 STRATEGY MODULES Module 1: Count On/Count Back Strategy Strategy Overview: Count On/Count Back Count On and Count Back: Strategy Briefs for Families Teaching Activities for Count On/Count Back Practice Activities for Count On/Count Back Module 2: Make Tens Strategy Strategy Overview: Make Tens Make Tens: Strategy Briefs for Families Teaching Activities for Make Tens Practice Activities for Make Tens Module 3: Partial Sums and Differences Strategy Strategy Overview: Partial Sums and Differences Partial Sums and Differences: Strategy Briefs for Families Teaching Activities for Partial Sums and Differences Practice Activities for Partial Sums and Differences Module 4: Compensation Strategy Strategy Overview: Compensation Compensation: Strategy Briefs for Families Teaching Activities for Compensation Practice Activities for Compensation Module 5: Think Addition Strategy Strategy Overview: Think Addition Think Addition: Strategy Briefs for Families Teaching Activities for Think Addition Practice Activities for Think Addition Module 6: Standard Algorithms for Addition and Subtraction Strategy Overview: Standard Algorithms Standard Algorithms: Strategy Briefs for Families Teaching Activities for Standard Algorithms Practice Activities for Standard Algorithms PART 3 PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY Fluency Is ... Assessing Fluency Fluency Activities Appendix: Tables of Activities References Index Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book "Figuring Out Fluency in Mathematics Teaching and Learning" offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion "Figuring Out Fluency: Addition and Subtraction with Whole Numbers." With this book, teachers can: (1) dive deeper into the Significant Strategies for fluency explained in the anchor book; (2) learn how these strategies grow from and relate to the basic fact strategies children learn; (3) access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in adding and subtracting multi-digit whole numbers, including worked examples, routines, games, and centers; (4) find activities for assessing all components of addition and subtraction fluency plus support for engaging families; and (5) download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers. [For "Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8: Moving beyond Basic Facts and Memorization. Corwin Mathematics Series," see ED615102.] "Procedural fluency is a critical, required component of balanced mathematics instruction. But it is often misunderstood. It is more than memorizing facts or procedures with the aim of answer getting, and it is more than understanding and being able to use one procedure or "all the procedures" (NCTM, 2014). Yet, it is still often an area understood and taught in a way that honors memorization and rule following over sense-making. This leads to surface level "fake fluency." Approaches to fluency must shift, wherein students do learn specific procedures and algorithms, but more importantly, they learn when they need to use a procedure or algorithm and when they don't, as well as how to judge the reasonableness of their strategy and their answer. THAT is fluency. It's when students have a toolbox of procedural strategies to choose from, that they have been explicitly taught, and they have the choice, knowledge, and power to apply what makes the most sense in a given problem. A classroom companion to the anchor book Figuring Out Fluency, this book takes the significant strategies for fluency and offers a menu of instruction-ready fluency support tools, instructional routines, worked examples, activities, games, and centers for each strategy to help students build fluency in whole number addition and subtraction. The final chapters focus on assessing for fluency in whole number addition and subtraction. Throughout, the book provides ideas for communication with families to help their child with adding and subtracting whole numbers"-- Provided by publisher