Strategies for Teaching Whole Number Computation
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Strategies for Teaching Whole Number Computation: Using Error Analysis for Intervention and Assessment

Strategies for Teaching Whole Number Computation: Using Error Analysis for Intervention and Assessment

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About the Book

"This book is a must-have for anyone working to remediate students struggling with math. It gets into the types of misconceptions students have and gives multiple ways to correct them." —Donna Adkins, First-Grade Teacher Perritt Primary School, Arkadelphia, AR "The nuts-and-bolts approach to assessment and error analysis make this book a real tool for everyday use." —Judith A. Filkins, K–8 Math Curriculum Coordinator Lebanon School District, NH A proven approach to mathematics teaching that adds up to student success! When students make computational errors in mathematics, often the prescribed solution is more drilling. However, by combining error analysis with timely and specific intervention based on conceptual understanding, teachers can get to the cause of students' errors, uncover underlying misconceptions, and help students understand and correct their mistakes. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. David B. Spangler, a school math consultant with more than 35 years of experience, provides a model that focuses on student error patterns in addition, subtraction, multiplication, and division. This book offers targeted instructional strategies based on the five NCTM process standards and includes four units, each containing: A diagnostic test in a multiple-choice format An item analysis table that correlates incorrect test responses with student error patterns A detailed section of supporting intervention activities to address specific types of errors Practice exercises for students, with answer keys Reflection questions for teachers to use in a professional development setting, workshop, or methods course With supporting research, a section on "big ideas" in computation and problem solving, and student reproducibles for games and activities, Strategies for Teaching Whole Number Computation promotes a proactive and scaffolded approach to teaching mathematics in a meaningful way.

Table of Contents:
Preface Acknowledgments About the Author A Look at the Academic Research: Intervention in the Mathematics Classroom Introduction to the Academic Research Equity and Quality in the Math Classroom Student Dispositions Activating Prior Knowledge Representations Estimation and Mental Math Alternative Algorithms Differentiating Instruction Instructional Games Response to Intervention Questions for Teacher Reflection Big Ideas in Computation and Problem Solving The Base-Ten Place-Value System and Multidigit Computation Actions and Operations Questions for Teacher Reflection Unit 1. Addition of Whole Numbers Diagnostic Test Item Analysis for Diagnostic Test Error Patterns & Intervention Activities Practice Exercises Questions for Teacher Reflection Unit 2. Subtraction of Whole Numbers Diagnostic Test Item Analysis for Diagnostic Test Error Patterns & Intervention Activities Practice Exercises Questions for Teacher Reflection Unit 3. Multiplication of Whole Numbers Diagnostic Test Item Analysis for Diagnostic Test Error Patterns & Intervention Activities Practice Exercises Questions for Teacher Reflection Unit 4. Division of Whole Numbers Diagnostic Test Item Analysis for Diagnostic Test Error Patterns & Intervention Activities Practice Exercises Questions for Teacher Reflection Resources for Estimation, Instructional Games, and Follow-Up Activities (Blacklines) Resources for Addition Follow-Up Activity: Next Number, Please Roller Coaster Rounding Using Front-End Estimation to Check for Reasonableness: Addition Instructional Game: Keeping Score in Bowling Resources for Subtraction Using Front-End Estimation to Check for Reasonableness: Subtraction Instructional Game: Balance the +/- Number Sentence! Follow-Up Activity: Editor Error Search (+/-) Instructional Game: Target Math (+/-) Resources for Multiplication Touching on the Facts With Your Fingers Using Front-End Estimation to Check for Reasonableness: Multiplication Instructional Game: How Close Can You Get? Follow-Up Activity: Editor Error Seach (x) Resources for Division Using Front-End Estimation to Check for Reasonableness: Division Using Compatible Numbers to Check for Reasonableness (+, -, x, ÷) Instructional Game: Balance the x/÷ Number Sentence! Follow-Up Activity: Abbott and Costello′s Number Nonsense Instructional Game: Target Math (x/÷) Multiuse Resources (Blacklines) Play Money Place-Value Mat for Addition/Subtraction Place-Value Grids for Addition/Subtraction Place-Value Grids for Division Tables for Addition/Subtraction Tables for Multiplication/Division Grid Paper (¼ inch) Answers for Student Materials Answers for Unit 1: Addition of Whole Numbers Answers for Unit 2: Subtraction of Whole Numbers Answers for Unit 3: Multiplication of Whole Numbers Answers for Unit 4: Division of Whole Numbers References


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Product Details
  • ISBN-13: 9781452296340
  • Binding: Digital download and online
  • No of Pages: 224
  • ISBN-10: 1452296340
  • Language: English
  • Sub Title: Using Error Analysis for Intervention and Assessment


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