A Focus on Multiplication and Division
Bringing Mathematics Education Research to the Classroom
- 190 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
A Focus on Multiplication and Division
Bringing Mathematics Education Research to the Classroom
About this book
The second edition of this book offers a unique approach to making mathematics education research on the teaching and learning of multiplication and division concepts readily accessible and understandable to preservice and in-service K-6 mathematics teachers.
Revealing students' thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers' experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction, and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP) and updated throughout, this engaging and easy-to-use resource also features the following:
- New chapters on the OGAP Multiplicative Reasoning Framework and Learning Progressions and Using the OGAP Multiplicative Progression to inform instruction and support student learning
- In-chapter sections on how Common Core State Standards for Math are supported by math education research
- Case Studies focusing on a core mathematical idea and different types of instructional responses to illustrate how teachers can elicit evidence of student thinking and use that information to inform instruction
- Big Ideas frame the chapters and provide a platform for meaningful exploration of the teaching of multiplication and division
- Looking Back Questions at the end of each chapter allow teachers to analyze student thinking and to consider instructional strategies for their own students
- Instructional Links to help teachers relate concepts from each chapter to their own instructional materials and programs
- Accompanying online Support Material that includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression
A Focus on Multiplication and Division is part of the popular A Focus on . . . collection, designed to aid the professional development of preservice and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and fractions, this updated new edition bridges the gap between what math education researchers know and what teachers need to know to better understand evidence in student work and make effective instructional decisions.
Frequently asked questions
- Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
- Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Information
Table of contents
- Cover
- Half Title
- Series
- Title
- Copyright
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 What Is Multiplicative Reasoning?
- 2 The OGAP Multiplication Progression
- 3 Using the OGAP Multiplication Progression to Inform Instruction and Support Student Learning
- 4 The Role of Visual Models
- 5 The Role of Concepts and Properties
- 6 Problem Contexts
- 7 Structures of Problems
- 8 Developing Whole Number Division
- 9 Understanding Algorithms
- 10 Developing Math Fact Fluency
- References
- About the Authors
- Index