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Figuring Out Fluency - Multiplication and Division With Whole Numbers
A Classroom Companion
- John J. SanGiovanni - Howard Public School System
- Jennifer M. Bay-Williams - University of Louisville, KY, Kansas State University, USA, University of Missouri, USA, Colegio Franklin Delano Roosevelt (Lima, Peru)
- Rosalba Serrano
Series:
Corwin Mathematics Series
Corwin Mathematics Series
August 2021 | 224 pages | Corwin
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: Multiplication and Division 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 multiplying and dividing multi-digit whole numbers, including worked examples, routines, games, and centers
• Find activities for assessing all components of multiplication and division 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.
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: Multiplication and Division 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 multiplying and dividing multi-digit whole numbers, including worked examples, routines, games, and centers
• Find activities for assessing all components of multiplication and division 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.
PART 1: FIGURING OUT FLUENCY: KEY IDEAS
PART 2: STRATEGY MODULES
Module 1 Break Apart to Multiply Strategy
Module 2 Halve and Double Strategy
Module 3 Compensation Strategy
Module 4 Partial Products Strategy
Module 5 Think Multiplication Strategy
Module 6 Partial Quotients Strategy
Module 7 Standard Algorithms for Multiplication and Division
PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY
APPENDIX: TABLES OF ACTIVITIES
REFERENCES
Free resources
Worked Examples
Worked examples are problems that have been solved. Correctly worked examples can help students make sense of a strategy and incorrectly worked examples attend to common errors.
Activity 2.5: Prompts for Teaching Halve and Double
This activity provides prompts to use as opportunities to develop understanding of and reasoning with the strategy.
Activity 1.8: Complex Number Strings
This activity focuses on complex number strings, which help students practice relationships between basic facts and relationships between basic facts and multiplying multiples.
Sample Materials & Chapters
SanGiovanni Figuring Out Fluency - Multiplication and Division With Whole Number