"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 TeacherPerritt 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 CoordinatorLebanon School District, NHA proven approach to mathematics teaching that adds up to student success!When students make computational errors in mathematics, often the prescribed…mehr
"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 TeacherPerritt 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 CoordinatorLebanon School District, NHA 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 formatAn item analysis table that correlates incorrect test responses with student error patterns A detailed section of supporting intervention activities to address specific types of errorsPractice exercises for students, with answer keys Reflection questions for teachers to use in a professional development setting, workshop, or methods courseWith 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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
David B. Spangler is the recipient of the 2014 Lee E. Yunker Mathematics Leadership Award, sponsored by the Illinois Council of Teachers of Mathematics. The award honors an Illinois teacher for providing outstanding resources to mathematics teachers. David has devoted his professional career of more than 40 years to mathematics education. He began as a middle-school mathematics teacher in an individualized setting. Later he taught at Triton Community College, where he gained direct experience interacting with struggling students in a developmental math laboratory. Currently he teachers mathematics methods courses through National-Louis University and ActiveMath Workshops, a professional development company he co-founded in 1994 (activemath.com). Some of the methods courses and workshops he facilitates address special needs students, intervention, computation, and error analysis at the elementary level. His workshops are designed to help teachers implement the Common Core State Standards for Mathematics. David has literally worked with thousands of students and teachers during his career. For many years David has worked as a mathematics textbook editor at the K-12 level. He has authored several books and has written numerous articles for mathematics journals, such as the popular "Cartoon Corner" for Mathematics Teaching in the Middle School. As an educator, David's goal has always been to teach mathematics for meaning rather than in a way that promotes rote memorization. Strategies for Teaching Whole Number Computation and Strategies for Teaching Fractions were written to help teachers achieve that goal. David's other professional goals include exploring ways to teach mathematics through engaging, real-world applications and to explore humorous aspects to mathematics, especially mathematical blunders that illustrate mathematics illiteracy. David is a frequent speaker at conferences of the National Council of Teachers of Mathematics and other professional organizations, addressing teaching mathematics for meaning, teaching mathematics through real-world applications, and teaching mathematics through humor. He also delivers after-dinner talks on the subject of mathematical humor. David lives with his wife, Bonnie, in Northbrook, Illinois. They have three grown children, Ben, Jamie, and Joey.
Inhaltsangabe
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 Costellös 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 (¿ 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
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 Costellös 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 (¿ 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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