Mathematize It! [Grades 3-5]

Video List Preface Chapter 1 Introduction: Why You Need to Teach Students to Mathematize Problem Solving Strategies Gone Wrong What is Mathematizing? Why Is It Important? Teaching Students to Mathematize Final Words Before You Dive In Part 1 Addition and Subtraction Chapter 2: Add-To and Take-From: Locating the Change Thinking About Active Addition and Subtraction Situations Moving Beyond Whole Numbers Key Ideas Try It Out! Reflect Chapter 3: Part-Part-Whole: Understanding the Relationship Thinking About Part-Part-Whole Situations Moving Beyond Whole Numbers Key Ideas Try It Out! Reflect Chapter 4: Additive Comparisons: Another Kind of Relationship Thinking About Additive Comparison Situations Moving Beyond Whole Numbers Key Ideas Try It Out! Reflect Part 2: Multiplication and Division Chapter 5: Equal Groups Multiplication: Two Factors, Different Jobs Thinking About Equal Groups Situations Moving Beyond Whole Numbers Key Ideas Try it Out! Reflect Chapter 6: Equal Groups Division: When a Factor Is Missing Thinking About Equal Groups Division Moving Beyond Whole Numbers Key Ideas Try it Out! Reflect Chapter 7: Multiplicative Comparisons: Another Asymmetric Relationship Thinking About Multiplicative Comparisons Moving Beyond Whole Numbers Key Ideas Try It Out! Reflect Chapter 8: Area and Array: Two Factors, Same Job Thinking About Area and Array Situations Moving Beyond Whole Numbers Key Ideas Try It Out! Reflect Chapter 9: Changing How You Teach Word Problems Getting into the Mathematizing Sandbox 8 Shifts in Instruction for Building Students' Problem-Solving Skills Guidance for Moving Forward: FAQ's Appendix A - Situation Tables References Index

Sara Delano Moore is an independent mathematics education consultant at SDM Learning. A fourth-generation educator, her work focuses on helping teachers and students understand mathematics as a coherent and connected discipline through the power of deep understanding and multiple representations for learning. Sara has worked as a classroom teacher of mathematics and science in the elementary and middle grades, a mathematics teacher educator, Director of the Center for Middle School Academic Achievement for the Commonwealth of Kentucky, and Director of Mathematics & Science at ETA hand2mind. Her journal articles appear in Mathematics Teaching in the Middle School, Teaching Children Mathematics, Science & Children, and Science Scope. Kimberly Morrow-Leong is an adjunct instructor at George Mason University in Fairfax, Virginia, a part-time researcher at American Institutes for Research, and a consultant for Math Solutions. She is a former grade 5-9 classroom teacher, K-8 mathematics coach, and coordinator of elementary professional development for the National Council of Teachers of Mathematics (NCTM). She recently completed an elected term as vice president and 2018 program chair for NCSM, Leadership in Mathematics Education. She holds a BA in French language and a masters in linguistics (TESOL). She also holds an MEd and PhD in mathematics education leadership from George Mason University. Kim is the 2009 recipient of the Presidential Award for Excellence in Mathematics and Science Teaching (PAEMST) from Virginia. She is happiest when working with teachers and students, putting pencils down and getting messy with manipulatives! Winner of the Presidential Award for Excellence in Science and Mathematics Teaching, Linda M. Gojak directed the Center for Mathematics and Science Education, Teaching, and Technology (CMSETT) at John Carroll University for 16 years. She has spent 28 years teaching elementary and middle school mathematics, and has served as the president of the National Council of Teachers of Mathematics (NCTM), the National Council of Supervisors of Mathematics (NCSM), and the Ohio Council of Teachers of Mathematics.