Preface
Acknowledgments
About the Authors
1. Common Core State Standards for Mathematics: Mathematics Content and Mathematical Practices
Creating the Common Core State Standards for Mathematics
Theoretical Basis of the Common Core State Standards for Mathematics
Structure of the Common Core State Standards for Mathematics
Two Brief Notes
Summary
Questions and Tasks for Reflection
2. Making Mathematics Teaching Decisions
Learning: The Primary Purpose of School and the Primary Goal of Teaching
The Nature of Learning
Formative Assessment: Discovering the Prior Knowledge
Types of Formative Assessment Practices
Making the Decisions of Teaching
Summary
Questions and Tasks for Reflection
3. Using the Pacing Guide Effectively
Pacing Guides for Mathematics Instruction
Role of the Mathematics Pacing Guide
How Do Mathematics Standards Influence the Pacing Guide?
Pacing and Mastery
Summary
Questions and Tasks for Reflection
4. Approach to Planning Mathematics Instruction
Perspective: Mathematics Content
Perspective: Models of Instruction
4-A Way to Mathematical Success
Overarching Instructional Strategies
Summary
Questions and Tasks for Reflection
5. Facilitating Differentiated Instruction
Introduction to Differentiated Instruction
Specific Points About Differentiated Instruction
Summary
Questions and Tasks for Reflection
6. Teaching and Learning Mathematics With Manipulatives
Young Students Learn Best When Mathematics Is Linked to a Real-World Context
Selection of Manipulatives
Use of Manipulatives
Tools in the Practice Standards
Summary
Questions and Tasks for Reflection
7. Appropriate Use of Technology
Technology in the Classrooms
Technology for the Learner
Effective Implementation in the Classroom
Evaluating the Use of the Technology
Technology for the Teacher
Summary
Questions and Tasks for Reflection
8. Reflecting on the Teaching Practice of Mathematics
What Is Reflection on Teaching?
Connecting Anticipations and Results
Measuring the Outcomes
The Formal Reflection Process
Summary
Questions and Tasks for Reflection
9. Understanding the Learner
The Expectations From the Common Core State Standards Initiative (CCSSI)
The Special Case of Gloria Jean Merriex
Culturally Responsive Teaching
Summary
Questions and Tasks for Reflection
10. Mathematics Assessment 101
Introduction
Summative Assessment
Authentic Assessment
Summary
Questions and Tasks for Reflection
11. Conclusion
All Eyes on Mathematics Education
Appendix: Resources for Teachers
References
Index