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Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age

Book Description

The digital age provides ample opportunities for enhanced learning experiences for students; however, it can also present challenges for educators who must adapt to and implement new technologies in the classroom. The Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age is a critical reference source featuring the latest research on the development of educators’ knowledge for the integration of technologies to improve classroom instruction. Investigating emerging pedagogies for preservice and in-service teachers, this publication is ideal for professionals, researchers, and educational designers interested in the implementation of technology in the mathematics classroom.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Book Series
    1. Mission
    2. Coverage
  5. Editorial Advisory Board and List of Reviewers
    1. Editorial Advisory Board
  6. Foreword
    1. REFERENCES
  7. Preface
    1. SECTION 1: FRAMING KNOWLEDGE FOR TEACHING MATHEMATICS WITH TECHNOLOGY IN THE DIGITAL AGE
    2. SECTION 2: DEVELOPING AND ASSESSING PRESERVICE TEACHER KNOWLEDGE FOR TEACHING MATHEMATICS WITH TECHNOLOGIES IN THE DIGITAL AGE
    3. SECTION 3: TRANSFORMING AND ASSESSING INSERVICE TEACHER KNOWLEDGE FOR TEACHING MATHEMATICS WITH TECHNOLOGIES IN THE DIGITAL AGE
    4. REFERENCES
  8. Acknowledgment
  9. Section 1: Framing Knowledge for Teaching Mathematics with Technology in the Digital Age
    1. Chapter 1: Technological Pedagogical Content Knowledge
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. METHODOLOGY
      5. RESULTS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. REFERENCES
      10. KEY TERMS AND DEFINITIONS
    2. Chapter 2: Design and Implementation Principles for Dynamic Interactive Mathematics Technologies
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. DESIGN AND IMPLEMENTATION PRINCIPLES
      5. ILLUSTRATIVE EXAMPLES OF DYNAMIC INTERACTIVE MATHEMATICS DOCUMENTS
      6. ISSUES FOR MATHEMATICS TEACHER EDUCATION
      7. CONCLUSION
      8. REFERENCES
      9. KEY TERMS AND DEFINITIONS
    3. Chapter 3: Transforming Mathematics Teaching through Games and Inquiry
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THE DESIGN AND DEVELOPMENT OF MATH SNACKS
      5. RESEARCH METHODS, DATA SOURCES, AND DATA ANALYSIS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. NOTE
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    4. Chapter 4: Technology-Mediated Mathematics Teacher Development
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND: A DESIGN EXPERIMENT ON TECHNOLOGY-MEDIATED, PRACTICE-BASED TEACHER EDUCATION
      4. LESSONSKETCH AND HOW USER NEEDS DRIVE ITS DEVELOPMENT
      5. SOLUTIONS AND RECOMMENDATIONS
      6. FUTURE RESEARCH DIRECTIONS
      7. CONCLUSION
      8. ACKNOWLEDGMENT
      9. REFERENCES
      10. KEY TERMS AND DEFINITIONS
      11. ENDNOTES
    5. Chapter 5: Mathematics Education Technology Professional Development
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. CONCEPTUAL FRAMEWORK
      5. METHODOLOGY
      6. RESULTS
      7. SOLUTIONS AND RECOMMENDATIONS
      8. FUTURE RESEARCH DIRECTIONS
      9. CONCLUSION
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    6. Chapter 6: Distance Technologies and the Teaching and Learning of Mathematics in the Era of MOOC
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. CONNECTIVISM: A NEW THEORY OF LEARNING AND ITS MOOCS APPLICATIONS
      5. NEW LENSES FOR ASSESSING ONLINE MATHEMATICS EDUCATION
      6. SOLUTIONS AND RECOMMENDATIONS
      7. CONCLUSION
      8. ACKNOWLEDGMENT
      9. REFERENCES
      10. KEY TERMS AND DEFINITIONS
      11. ENDNOTES
  10. Section 2: Developing and Assessing Preservice Teacher Knowledge for Teaching Mathematics with Technologies in the Digital Age
    1. Chapter 7: Documenting a Developing Vision of Teaching Mathematics with Technology
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. METHODOLOGY
      5. RESULTS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. REFERENCES
      10. KEY TERMS AND DEFINITIONS
    2. Chapter 8: Transforming Mathematics Teacher Knowledge in the Digital Age through Iterative Design of Course-Based Projects
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THE STUDY METHODOLOGY
      5. RESULTS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. CONCLUSION
      8. REFERENCES
      9. KEY TERMS AND DEFINITIONS
    3. Chapter 9: Transforming Preservice Mathematics Teacher Knowledge for and with the Enacted Curriculum
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THE ROLE OF TPACK IN THE CONCEPTUALIZATION OF THE ENACTED CURRICULUM
      5. OVERVIEW AND METHODS OF TWO RESEARCH STUDIES RELATED TO ENACTED DIGITAL INSTRUCTIONAL MATERIALS
      6. RESULTS ON THE ENACTMENT OF THE DIGITAL INSTRUCTIONAL MATERIALS
      7. SOLUTIONS AND RECOMMENDATIONS
      8. FUTURE RESEARCH DIRECTIONS
      9. CONCLUSION
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    4. Chapter 10: Transforming Lesson Design through Animation
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. ANIMATIONS IN MATHEMATICS TEACHER EDUCATION
      5. LESSON PLAN-IMATION STUDY
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. REFERENCES
      10. KEY TERMS AND DEFINITIONS
      11. APPENDIX A: LESSON PLAN TEMPLATE
      12. APPENDIX B: WRITTEN REFLECTION TEMPLATE
    5. Chapter 11: Prospective Teachers' Incorporation of Technology in Mathematics Lesson Plans
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. PARTICIPANTS, CONTEXT, AND METHODS
      5. RESULTS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. NOTE
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    6. Chapter 12: Formative Assessment and Preservice Elementary Teachers' Mathematical Justification
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. USING DIGITAL TOOLS FOR CONVINCING AND ASSESSING
      5. METHODOLOGY
      6. RESULTS
      7. SOLUTIONS AND RECOMMENDATIONS
      8. FUTURE RESEARCH DIRECTIONS
      9. CONCLUSION
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    7. Chapter 13: Learning Mathematics and Technology through Inquiry, Cooperation, and Communication
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THE STUDY
      5. METHODOLOGY
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. NOTE
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    8. Chapter 14: Mathematics Teacher Educators' TPACK and MKT Knowledge Domains
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. RESEARCH DESIGN, ANALYSIS, AND FINDINGS
      5. SOLUTIONS AND RECOMMENDATIONS
      6. FUTURE RESEARCH DIRECTIONS
      7. CONCLUSION
      8. REFERENCES
      9. KEY TERMS AND DEFINITIONS
  11. Section 3: Transforming and Assessing Inservice Teacher Knowledge for Teaching Mathematics with Technologies in the Digital Age
    1. Chapter 15: The Influence of Professional Development on Primary Teachers' TPACK and Use of Formative Assessment
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THEORETICAL FRAMEWORK
      5. DESCRIPTION OF FORMATIVE ASSESSMENT TOOL
      6. DESCRIPTION OF PROFESSIONAL DEVELOPMENT PROJECT
      7. METHODS
      8. FINDINGS
      9. SOLUTIONS AND RECOMMENDATIONS
      10. FUTURE RESEARCH DIRECTIONS
      11. CONCLUSION
      12. NOTE
      13. REFERENCES
      14. KEY TERMS AND DEFINITIONS
    2. Chapter 16: Designing Elementary Mathematics Games using Effective Mathematics Teaching Practices
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. MAIN FOCUS OF THE LESSON
      5. DATA COLLECTION
      6. MATH AND MINECRAFT
      7. SOLUTION AND RECOMMENDATIONS
      8. FUTURE RESEARCH DIRECTIONS
      9. CONCLUSION
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
    3. Chapter 17: Developing Teachers' TPACK for Mathematics through Professional Development
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THE INTERMATH PROJECT
      5. THE STUDY
      6. EFFECTIVENESS OF INTERMATH
      7. WHAT TPACK LOOKS LIKE IN LCPD
      8. RESULTS
      9. SOLUTIONS AND RECOMMENDATIONS
      10. FUTURE RESEARCH DIRECTIONS
      11. CONCLUSION
      12. ACKNOWLEDGMENT
      13. REFERENCES
      14. KEY TERMS AND DEFINITIONS
    4. Chapter 18: Mathematics Teachers' Knowledge-of-Practice with Technologies in an Online Masters' Program
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THE STUDY
      5. METHODOLOGY
      6. DESCRIPTIVE CASE RESULTS
      7. CROSS CASE ANALYSIS RESULTS
      8. SOLUTIONS AND RECOMMENDATIONS
      9. FUTURE RESEARCH DIRECTIONS
      10. CONCLUSION
      11. REFERENCES
      12. KEY TERMS AND DEFINITIONS
      13. APPENDIX 1
      14. APPENDIX 2
    5. Chapter 19: An Algebra Teacher's Instructional Decision-Making Process with GeoGebra
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. ACTION RESEARCH STUDY
      5. RESULTS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. REFERENCES
      10. KEY TERMS AND DEFINITIONS
      11. APPENDIX 1
    6. Chapter 20: Dynamic Approach to Teaching Geometry
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. THE STUDY
      5. DATA ANALYSIS AND FINDINGS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. ACKNOWLEDGMENT
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
      12. APPENDIX 1
      13. APPENDIX 2
    7. Chapter 21: Preparing Teachers to Implement Technology
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. METHOD
      5. FINDINGS
      6. SOLUTIONS AND RECOMMENDATIONS
      7. FUTURE RESEARCH DIRECTIONS
      8. CONCLUSION
      9. ACKNOWLEDGMENT
      10. REFERENCES
      11. KEY TERMS AND DEFINITIONS
      12. APPENDIX 1
    8. Chapter 22: A Reconstructed Conception of Learner Engagement in Technology Rich Online Learning Environments
      1. ABSTRACT
      2. INTRODUCTION
      3. BACKGROUND
      4. STUDY CONTEXT
      5. METHODOLOGY
      6. DATA COLLECTION AND ANALYSIS
      7. RESULTS
      8. LIMITATIONS
      9. SOLUTIONS AND RECOMMENDATIONS
      10. FUTURE RESEARCH DIRECTIONS
      11. CONCLUSION
      12. REFERENCES
      13. KEY TERMS AND DEFINITIONS
      14. APPENDIX 1 Unit Outline and Overview of Activities
      15. Unit 2 Overview
  12. Compilation of References
  13. About the Contributors