MATHEMATICAL MINDSETS : unleashing students' potential through creative math, inspiring... messages and innovative teaching.

Description

Cover Title Page Copyright Page Contents Foreword Preface to the Second Edition Introduction: The Power of Mindset Chapter 1 The Brain and Mathematics Learning Chapter 2 The Power of Mistakes and Struggle Mistakes in Life How Can We Change the Ways Students View Struggle and Mistakes? Chapter 3 The Creativity and Beauty inMathematics Conclusion Chapter 4 Creating Mathematical Mindsets:: The Importance of Flexibility with Numbers Number Sense What about Math Facts? How Important Is Math Practice? What about Older Students? Math Apps and Games Conclusion Chapter 5 Rich Mathematical Tasks Case 1. Seeing the Openness of Numbers Case 2. Growing Shapes: The Power of Visualization Case 3. A Time to Tell? Case 4. Seeing a Mathematical Connection for the First Time (Pascal’s Triangle) Case 5. The Wonders of Negative Space Case 6. From Math Facts to Math Excitement From Cases of Mathematics Excitement to the Design of Tasks 1. Can You Open the Task to Encourage Multiple Methods, Pathways, and Representations? 2. Can You Make It an Inquiry Task? 3. Can You Ask the Problem before Teaching the Method? 4. Can You Add a Visual Component? 5. Can You Make It Low Floor and High Ceiling? 6. Can You Add the Requirement to Convince and Reason? Conclusion Chapter 6 Mathematics and the Path to Equity The Elitist Construction of Math The Myth of the Mathematically Gifted Child When Math Inequalities in Course Placement Become Illegal Equitable Strategies 1. Offer All Students High-Level Content 2. Work to Change Ideas about Who Can Achieve in Mathematics 3. Encourage Students to Think Deeply about Mathematics 4. Teach Students to Work Together 5. Give Girls and Students of Color Additional Encouragement to Learn Math and Science 6. Eliminate (or at Least Change the Nature of) Homework Conclusion Chapter 7 From Tracking to Growth Mindset Grouping Opportunities to Learn De-Tracking Growth Mindset Grouping Teaching Heterogeneous Groups Effectively: The Mathematics Tasks 1. Providing Open-Ended Tasks 2. Offering a Choice of Tasks 3. Individualized Pathways Teaching Heterogeneous Groups Effectively: Complex Instruction (with an Update) Multidimensionality Roles Assigning Competence Teaching Students to Be Responsible for Each Other’s Learning My Adaptation to Complex Instruction Conclusion Chapter 8 Assessment for a Growth Mindset Race to Nowhere Assessment for Learning Developing Student Self-Awareness and Responsibility 1. Self-Assessment 2. Peer Assessment 3. Reflection Time 4. Traffic Lighting 5. Jigsaw Groups 6. Exit Tickets 7. Online Forms 8. Doodling 9. Students Write Questions and Tests Diagnostic Comments Advice on Grading Conclusion Chapter 9 Teaching Mathematics for a Growth Mindset Encourage All Students Setting Up Classroom Norms The Participation Quiz Believe in All of Your Students Value Struggle and Failure Give Growth Praise and Help Opening Mathematics Teach Mathematics as an Open, Growth, Learning Subject Encourage Students to Be Mathematicians Teach Mathematics as a Subject of Patterns and Connections Teach Creative and Visual Mathematics Encourage Intuition and Freedom of Thought Value Depth over Speed Connect Mathematics to the World Using Mathematical Modeling MP 4: Model with Mathematics Encourage Students to Pose Questions, Reason, Justify, and Be Skeptical Teach with Cool Technology and Manipulatives Putting These Ideas into Practice Conclusion References Appendix A Appendix B Index EULA