Developing Mathemagicians : Teaching Early Numeracy within an RTI Framework

by Bradley S. Witzel

• ISBN13: 9781452202556
• ISBN10: 1452202559
• Format: Paperback
• Copyright: 2012-11-08
• Publisher: Corwin Pr

Summary

Building Number Sense clearly articulates the Common Core State Standards and provides instruction and intervention ideas through RTI delivery models. The authors detail fun and exciting ways for students to learn mathematics, especially in areas where students struggle the most. Each strategy is grounded in research-supported mathematics instruction with aligned assessments to ensure student comprehension. Complete with classroom examples and reproducible materials for intervention and assessment, this book will help teachers successfully instruct and assess mathematics in the K-3 classroom. The book includes: Up-to-date research and best practices for early childhood mathematics instruction and intervention Figures and tables to illustrate key concepts Quick tips and reproducible forms to help educators implement the strategies For administrators, the book provides instructional checklists to help improve early mathematics at the school and district level.

Table of Contents

Acknowledgments	p. ix
About the Authors	p. xi
Introduction to the Characteristics of Number Sense	p. 1
Introduction	p. 1
Turning Around Math Achievement	p. 2
Number Sense Defined	p. 4
The Common Core State Standards	p. 6
The CCSS and Elements of Number Sense	p. 7
Book Content	p. 8
References	p. 9
Redefining Mastery Through Long-Term Planning	p. 11
How to Prepare Children for Mathematics Understanding	p. 11
What Is Being Taught	p. 13
Horizontal (Grade-Level) Planning	p. 16
Vertical Planning	p. 19
RTI Framework to Support What Is Being Taught	p. 21
How Math Is Taught	p. 22
Assessment	p. 26
Expectations and Differentiation	p. 26
References	p. 28
Assessment and Progress Monitoring of Number Sense	p. 29
Four Main Purposes of Assessments	p. 30
Early Numeracy Measures	p. 32
Error Pattern Analysis to Guide Instruction	p. 36
Conducting Error Analysis	p. 37
New Generation of Assessments	p. 39
Critical Issues for Educators	p. 41
Conclusion	p. 42
Additional Resources	p. 43
References	p. 43
Counting, Number Identification, and Early Addition and Subtraction	p. 45
Counting	p. 47
Number Identification	p. 53
Teach Number Recognition	p. 53
Early Addition and Subtraction	p. 57
Interventions for Students Struggling With Addition and Subtraction	p. 66
Use of Apps	p. 67
Summary	p. 68
References	p. 69
Building Computation Systems Through Place Value	p. 71
The Place Value Imperative	p. 72
CCSS	p. 77
Decomposition of Place Value	p. 80
Intervention for Place Value	p. 89
Apps	p. 90
Conclusion	p. 90
References	p. 90
Multiplication and Division	p. 93
Classroom Instruction	p. 93
Multiplication Difficulties	p. 95
Setting Multiplicative Foundation	p. 100
Moving Into Multiplication	p. 101
The Relationship Between Multiplication and Division	p. 103
Accuracy to Fluency	p. 104
Intervention for Multiplication Fluency and Automaticity	p. 105
References	p. 107
Applications in Algebra, Geometry, and Measurement	p. 109
Algebra	p. 110
Bright Beginings	p. 112
Connections to the Common Core	p. 112
Building Through Geometry and Measurement	p. 115
Conclusion	p. 121
References	p. 121
Using Math Language to Solve Problems	p. 123
Math Language	p. 126
Word Problem Apps	p. 134
References	p. 135
Mathematical Vocabulary and the Development of Early Mathematicians	p. 137
Vocabulary and Mathematical Proficiency	p. 138
Difficulties Students Experience With Mathematical Vocabulary	p. 139
General Approaches and Techniques to Teaching Mathematical Vocabulary	p. 142
Activities for Teaching Math Vocabulary	p. 143
Conclusion	p. 151
References	p. 155
The Next Steps to Teaching Number Sense	p. 157
Planning	p. 157
Literacy	p. 159
Writing	p. 162
Social Studies and Science	p. 162
Summary	p. 164
Outside Resources	p. 164
Index	p. 167
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