Figuring Out Fluency - Multiplication and Division With Fractions and Decimals

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

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. -- Tomika R. Altman * 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! -- Nichole DeMotte * 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! -- Pam Harris * 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. -- Allyson Lyman * 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