PART 1: FIGURING OUT FLUENCY: KEY IDEAS
PART 2: STRATEGY MODULES
Module 1 Good (and Necessary) Foundations for Reasoning
Strategies
Module 2: Break Apart (by Addends) and Partial Products
Module 3: Compensation for Multiplying Fractions and Decimals
Module 4: Break Apart to Multiply (by Factors)
Module 5: Think Multiplication
Module 6: Partial Quotients
Module 7: Algorithms for Fraction Multiplication and Division
Module 8: Algorithms for Decimal Multiplication and Division
PART 3: PUTTING IT ALL TOGETHER: DEVELOPING FLUENCY
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). 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 passionate about growing new mathematics
leaders in the district and through McDaniel College. In addition
to the 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 on the board
of directors for NCSM.
Sherri Martinie, a Professor of Curriculum and Instruction in the
College of Education at Kansas State University, teaches
undergraduate and graduate courses in mathematics education. Prior
to taking her position at Kansas State, she taught elementary,
middle and high school mathematics for a combined 20 years. She is
continually seeking innovative ways to support preservice and
in-service teachers in the development and refinement of effective
mathematics teaching practices. Jennifer Suh is a mathematics
educator at George Mason University, leading efforts to enhance K-8
math instruction through strength-based formative assessments and
bridging activities. In partnership with the Virginia Department of
Education, her project, Bridging for Math Strength, focuses on
using rich mathematics tasks across grade levels, unpacking the
learning progression to enhance teaching and learning. Jennifer
uses this project for math intervention and multi-tiered
instruction, working closely with special education and general
education math teachers to meet diverse learners′ needs. She
directs the Center for Outreach in Mathematics Professional
Learning and Educational Technology (COMPLETE), conducting Lesson
Study in schools emphasizing problem-based tasks to promote
equitable access to 21st-century skills, including creativity,
critical thinking, communication, and collaboration, particularly
for diverse student populations.
This book places mathematical thinking front and center! The
authors make the compelling case using myriad examples that fluency
requires reasoning and relies on conceptual understanding. They
provide a treasure trove of engaging activities teachers can use to
help their students develop fluency with fractions and decimals. If
you want your students to confidently choose and flexibly use a
range of strategies when working with fractions and decimals, you
must read this book!
*Grace Kelemanik*
As a high school mathematics teacher, I listened year after year to
students who said they lost their passion for mathematics right
around the time they began to learn fractions. Thankfully, Figuring
Out Fluency—Multiplication and Division With Fractions and Decimals
is a book designed to make fractions more accessible and understood
by all students. The book is a must-read for mathematics educators.
This book clearly defines fluency and also shares action steps and
strategies teachers can employ to help students develop a deeper
understanding of, and fluency with, fractions and decimals.
*Mona Toncheff*
This book is such an eye-opener for providing interventions and
strategies for students and supporting teachers that I coach.
Fluency isn’t about timed tests or ‘drill and kill’ but providing
students with rich discourse, games, tasks, routines, and more. I’m
so excited to delve into this much-needed resource more.
*Chapel Hill-Carrboro City Schools*
Figuring Out Fluency—Multiplication and Division With Fractions and
Decimals is an essential resource for math educators who teach
fraction and decimal operations. This companion book connects the
strategies introduced in the anchor book to multiplying and
dividing with decimals and fractions. The explicit strategy
instruction provided in the book allows access for ALL students in
a practical, hands-on approach. This is a go-to for all math
educators, coaches, specialists, and interventionists!
*Jefferson County Public Schools, Louisville, KY*
A needed addition to mathematics education! This book establishes a
broader definition of fluency and emphasizes the importance of
helping students develop and use relationships and strategies to
solve problems. Bay-Williams, SanGiovanni, Martinie, and Suh
outline which major relationships and strategies students need to
develop stronger mathematical reasoning!
*Texas State University*
Figuring Out Fluency: Multiplication and Division With Fractions
and Decimals is the resource that the educational world has been
wishing and waiting for as it works to tackle mathematical concepts
that traditionally leave students confused and teachers frustrated.
This carefully crafted guide will inspire and support educators in
their journey to integrate quality and rigorous
fluency practice. It provides a plethora of practical,
well-designed activities and games rooted in research that will
actively engage students in rich discussion, critical thinking, and
the strengthening of their conceptual understanding needed to
select appropriate strategies to multiply and divide fractions and
decimals accurately and efficiently. As an instructional leader, I
view this text as the catalyst for refocusing the goals of math
instruction so both teachers and students can confidently engage in
practices that build mathematical proficiency.
*Emporia Public Schools*
Figuring Out Fluency—Multiplication and Division With Fractions and
Decimals is a must-have for any classroom teacher, mathematics
supervisor, or anyone that wants to think about advancing their
students’ fluency with fractions and decimals. The ideas in this
book are supported through the key ideas of figuring out fluency
and the detailed ways of its strategy model of looking at fractions
and decimals. The numerous resources that are highlighted in this
book support anyone from a new teacher all the way to a 25-year
veteran. The ease of use is what will help anyone improve their
practice.
*Spencer Jamieson*
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