Math Know-How

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