Vital Directions for Mathematics Education Research

1. Front Matter

   Pages i-ix

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2. Reflections on a Portrait of Our Field

   • Steven R. Williams

   Pages 1-14

3. Making Progress in U.S. Mathematics Education: Lessons Learned—Past, Present, and Future

   • Mark Hoover Thames, Deborah Loewenberg Ball

   Pages 15-44

4. The Constantly Underestimated Challenge of Improving Mathematics Instruction

   • James Hiebert

   Pages 45-56

5. In the Absence of Meaning…

   • Patrick W. Thompson

   Pages 57-93

6. The Need for Theories of Conceptual Learning and Teaching of Mathematics

   • Martin A. Simon

   Pages 95-118

7. Intellectual Need

   • Guershon Harel

   Pages 119-151

8. The False Dichotomy in Mathematics Education Between Conceptual Understanding and Procedural Skills: An Example from Algebra

   • Carolyn Kieran

   Pages 153-171

9. Needed: Critical Foxes

   • Jeremy Kilpatrick

   Pages 173-187

10. Where Are the Foxes in Mathematics Education?

    • Jo Boaler, Sarah Kate Selling, Kathy Sun

    Pages 189-199

11. Back Matter

    Pages 201-207

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This book provides a collection of chapters from prominent mathematics educators in which they each discuss vital issues in mathematics education and what they see as viable directions research in mathematics education could take to address these issues. All of these issues are related to learning and teaching mathematics. The book consists of nine chapters, seven from each of seven scholars who participated in an invited lecture series (Scholars in Mathematics Education) at Brigham Young University, and two chapters from two other scholars who are writing reaction papers that look across the first seven chapters. The recommendations take the form of broad, overarching principles and ideas that cut across the field. In this sense, this book differs from classical “research agenda projects,” which seek to outline specific research questions that the field should address around a central topic.

• Guershon Harel
• Jeremy Kilpatrick
• Jim Hiebert
• Mathematics Education
• Scholars in Mathematics Education

• , Department of Mathematics Education, Brigham Young University, Provo, USA

  Keith R Leatham

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