There Is No One Way to Teach Math

Höfundar: Henri Picciotto; Robin Pemantle (Útgáfa: 1)
There Is No One Way to Teach Math

Kaup valmöguleikar

A collaboration between a seasoned math teacher and a research mathematician, this resource offers balanced instructional ideas based on student intellectual engagement and skilled teacher leadership. It is solidly grounded in many areas of classroom practice, but rather than serving as a prescriptive how-to manual, the authors invite reflection and discussion across classrooms and math departments, much in the way you would share ideas in the teachers’ lounge or across the table at a conference.

Chapters offer practical suggestions and concrete examples to teachers of grades 6–12 on just about every aspect of the job: manipulatives, technology, lesson planning, group work, classroom discussion, and more. In opposition to the idea of a “one-size-fits-all” curriculum, the authors explain how to integrate teaching techniques: formal and informal, student-centered and teacher-led, experiential and rigorous.

Chapters also include vignettes, as well as many links to curricular materials. Ideal for math educators of grades 6–12, this book is both comprehensive in its strategies and sensitive to the complexities of teaching. For these reasons, math departments, coaches, teacher leaders, and faculty at other levels can also easily reference its content where relevant. This book offers multiple entry points for teachers and departments to discuss and enhance their practice, making it essential reading for any math educator or professional development opportunity.

Nánar um bókina

Útgefandi
Taylor & Francis
ISBN
9781040109410
Print ISBN
9781032759333
Format
ePub
Útgáfa
1
Höfundar
Henri Picciotto; Robin Pemantle
Tungumál
English
Útgefið
2024-09-10
Prent takmörkun á líftíma
100
Prent takmörkun
2
Afritunar takmörkun
2

Kaflar

  • Cover Page
  • Endorsements Page
  • Half-Title Page
  • Series Page
  • Title Page
  • Copyright Page
  • Contents
  • Preface
  • Acknowledgments
  • Introduction
  • What Is and Is Not in This Book
  • Our Assumptions
  • How to Use This Book
  • Notes
  • Part I Pedagogical Principles
  • 1 Philosophical Framework
  • Embracing Contraries
  • Compliance
  • Teaching for Understanding
  • Number Sense and Other Senses
  • Note-Taking and Institutionalization
  • All of the Above!
  • Discussion Questions
  • Notes
  • 2 Problem Solving
  • Two Sample Problems
  • Placing Problems in the Curriculum
  • Inquiry
  • Rich Activities
  • Creating Problems
  • Using Puzzles
  • Problem Solving at the Core
  • Discussion Questions
  • Notes
  • 3 Different Modes
  • Classroom Basics
  • Openers
  • General Routines
  • Kinesthetic Activities
  • Games
  • Diversifying One's Portfolio
  • Discussion Questions
  • Notes
  • Part II Classroom Practice
  • 4 Cooperative Learning
  • Group Work: Why
  • Group Work: How
  • Common Obstacles
  • Dead Ends
  • Individual Growth
  • Discussion Questions
  • Notes
  • 5 Learning Tools
  • Why Tools?
  • Which Tools?
  • Conceptual Tools
  • Multiple Representations
  • Seeing Is Believing?
  • Active Involvement
  • Discussion Questions
  • Notes
  • 6 Manipulatives
  • Models
  • Geometric Puzzles
  • Even More Manipulatives
  • From the Concrete to the Abstract
  • Discussion Questions
  • Notes
  • 7 Computation Engines
  • A Brief History
  • Graphing Technology
  • Interactive Geometry
  • Computer Algebra Systems
  • Virtual Manipulatives
  • Tools as Curriculum
  • Robot Teachers?
  • Discussion Questions
  • Notes
  • 8 Leading Discussions
  • Project SEED
  • Every Minute Counts
  • Sequencing Discussions
  • Staging
  • Encouraging Without Babying
  • Handling Wrong Answers
  • Listening
  • Questioning
  • Where We Are
  • Discussion Questions
  • Notes
  • Part III The Big Picture
  • 9 Extending Exposure
  • Reaching the Full Range
  • Guiding Principles
  • Lagging Homework
  • Review
  • More on Review
  • Discussion Questions
  • Note
  • 10 Planning
  • Pruning
  • A Framework for Planning
  • Mapping Out a Course
  • Spiraling
  • Pursuing Two Units Simultaneously
  • Learning from Experience
  • Discussion Questions
  • Notes
  • 11 Assessment
  • The Future of Grades
  • Tests and Quizzes
  • Retakes Versus Test Corrections Versus Neither
  • Other Assessments
  • Yet More Options
  • Assessment and Extending Exposure
  • Discussion Questions
  • Notes
  • 12 Making Change
  • Course and Teacher Evaluations
  • Collaboration
  • Research
  • Fads Versus Eclecticism
  • Setting Goals
  • Discussion Questions
  • Notes
  • Appendix: Special Note to Young Teachers
  • Index