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A Focus on Addition and Subtraction
A Focus on Ratios and Proportions
A01=Caroline B. Ebby
A01=Elizabeth P. Cunningham
A01=Elizabeth T. Hulbert
A01=Marjorie M. Petit
A01=Robert E. Laird
Area Model
Author_Caroline B. Ebby
Author_Elizabeth P. Cunningham
Author_Elizabeth T. Hulbert
Author_Marjorie M. Petit
Author_Robert E. Laird
Category=JNU
Category=YPMF
CCSSM
Common Core classroom
Common Core State Standards for Math
Commutative Property
comparison
conceptual understanding math
Division Problems
Division Progressions
early math education
Early Transitional
elementary math
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_society-politics
Equal Groups
Equal Groups Problems
fluency
instructional strategies for elementary math
Long Division Algorithm
Math Education Research
Math Facts
math misconceptions
Mathematical Expression
Mathematics Education Research
multiplicative
Multiplicative Comparisons
Multiplicative Problem
multiplicative reasoning
Multiplicative Relationship
OGAP
OGAP framework
Ongoing Assessment Project
partial
Partial Quotients
Partitive Division Problem
procedural
Procedural Fluency
progressions
Quick Images
quotients
reasoning
Skip Counting
solutions
Solve Division Problems
student
Student Solutions
student work analysis
teaching early math
Teaching Elementary Math
Transitional Strategies
understanding multiplication and division

Product details

  • ISBN 9781032028576
  • Weight: 453g
  • Dimensions: 178 x 254mm
  • Publication Date: 04 Jul 2023
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

Elizabeth T. Hulbert is Managing Partner and Professional Development Coordinator at the Ongoing Assessment Project.

Marjorie M. Petit is Co-Director of OGAPMath LLC.

Caroline B. Ebby is Senior Researcher at the Graduate School of Education, University of Pennsylvania.

Elizabeth P. Cunningham, PhD, is Assistant Professor at the University of Michigan-Flint. Elizabeth is also a member of the OGAP National Professional Development Team.

Robert E. Laird is Co-Director of Teaching, Learning and Research with the Vermont Mathematics Initiative, Co-Director of OGAPMath LLC, and a member of the OGAP National Professional Development Team.

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