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 Fractions and Decimals. 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 fractions and decimals, including worked examples, routines, games, and centers
- Find activities for assessing all components of addition and subtraction fluency for fractions and decimals, 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.
Author(s): Jennifer M. Bay-Williams, John J. SanGiovanni, Sherri L. Martinie, Jennifer Suh
Series: Corwin Mathematics Series
Publisher: Corwin Mathematics
Year: 2022
Language: English
Pages: 240
City: Los Angeles
Cover
Contents
Preface
Acknowledgments
About the Authors
PART 1 FIGURING OUT FLUENCY: KEY IDEAS
What Is Fluency With Fraction and Decimal Addition and Subtraction?
Why Focus on Fluency for Fraction and Decimal Addition and Subtraction?
What Do Fluency Actions Look Like for Fraction and Decimal Addition and Subtraction?
What Foundations Do Students Need to Develop Fluency With Fraction and Decimal Addition and Subtraction?
What Automaticities Do Students Need?
What Are the Significant Strategies for Adding and Subtracting Fractions and Decimals?
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: Foundations for Reasoning Strategies
Overview: Foundations for Strategies
Flexible Decomposition
Combinations That Equal 1 (Base-10 Combinations)
Fraction and Decimal Benchmarks
Estimating the Location of Fractions and Decimals on a Number Line
Multiples and Factors
Equivalencies of One-Half
Common Fraction Equivalencies
Module 2: 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 3: Make a Whole Strategy
Strategy Overview: Make a Whole
Make a Whole: Strategy Briefs for Families
Teaching Activities for Make a Whole
Practice Activities for Make a Whole
Module 4: Think Addition Strategy
Strategy Overview: Think Addition
Think Addition: Strategy Briefs for Families
Teaching Activities for Think Addition
Practice Activities for Think Addition
Module 5: Compensation Strategy
Strategy Overview: Compensation
Compensation: Strategy Briefs for Families
Teaching Activities for Compensation
Practice Activities for Compensation
Module 6: 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 7: Standard Algorithms
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