Figuring Out Fluency--Ten Foundations for Reasoning Strategies With Whole Numbers

John J. SanGiovanni is a mathematics coordinator in Howard County, Maryland. There, he leads mathematics curriculum development, digital learning, assessment, and professional development. John is an adjunct professor and coordinator of the Elementary Mathematics Instructional Leadership graduate program at McDaniel College. In addition to this Figuring Out Fluency series, some of his many Corwin books include Daily Routines to Jump-Start Problem Solving, Grades K-8, Answers to Your Biggest Questions about Teaching Elementary Math, the Daily Routines to Jump-Start Math series, and Productive Math Struggle: A 6-Point Action Plan for Fostering Perseverance. John is a national mathematics curriculum and professional learning consultant who also speaks frequently at national conferences and institutes. He is active in state and national professional organizations, recently serving on the board of directors for the National Council of Teachers of Mathematics (NCTM) and currently on the board of directors for the National Council of Supervisors of Mathematics (NCSM). Jennifer M. Bay-Williams is a professor of mathematics education at the University of Louisville, where she teaches preservice teachers, emerging elementary mathematics specialists, and doctoral students in mathematics education. She has authored over 40 books and 100 journal articles/book chapters, many of which focus on procedural fluency and developing mathematical proficiency. Beyond the Figuring out Fluency series, these include Math Fact Fluency, and Everything you Need for Mathematics Coaching and Elementary: Teaching Developmentally and Middle School Mathematics. Jennifer′s national leadership includes NCTM Board of Directors, the TODOS: Mathematics for All Board of Directors, and as president and secretary of the Association of Mathematics Teacher Educators (AMTE). Susie Katt is the K-2 Mathematics Coordinator in Lincoln, Nebraska, where she leads professional learning, assessment, and math curriculum development. She is an author of Productive Math Struggle: A 6-Point Action Plan for Fostering Perseverance and Answers to Your Biggest Questions About Teaching Elementary Math. She is also a national math curriculum consultant. Susie speaks at state, regional, and national conferences. She served the National Council of Teachers of Mathematics (NCTM) as the chair of the editorial panel for the journal Teaching Children Mathematics, as department editor for Mathematics Teacher: Learning and Teaching PK–12, and as a member of program committees for annual meetings and regional conferences. Susie was recently elected to the board of directors for the National Council of Supervisors of Mathematics (NCSM) as Regional Director, Central 2.

Part I: Figuring out Fluency Foundations: Big Ideas
Part 2: Foundations Modules
Module 1: Number Relationships: Comparison and Estimation
Module 2: Subitizing to Decomposing
Module 3: Distance to 10, 100, and 1,000
Module 4: Counting and Skip-Counting
Module 5: Properties of Addition and Its Inverse Relationship with Subtraction
Module 6: Properties of Multiplication and the Inverse Relationship with Division
Module 7: Multiplying by 10s and 100s
Module 8: Multiples and Factors
Module 9: Doubling and Halving
Module 10: Computational Estimation
Part 3: Taking Action
Appendix A: Activity List
References