Mathematics Matters in Education

Part I. Introduction

1. “Mathematics Matters in Education” to Roger E. Howe and to All: An Introduction
Yeping Li, W. James Lewis, James J. Madden

2. About Roger E. Howe and His Contributions to Mathematics Education
Yeping Li, W. James Lewis

3. Cultural Knowledge for Teaching Mathematics
Roger E. Howe

Part II. Knowing and Connecting Mathematics in Teaching and Teacher Education

4. The Content Knowledge Mathematics Teachers Need
Hung-Hsi Wu

5. Knowing Ratio and Proportion for Teaching
James J. Madden

6. How Future Teachers Reasoned with Variable Parts and Strip Diagrams to Develop Equations for Proportional Relationships and Lines
Sybilla Beckmann, Torrey K. Kulow

7. Giving Reason and Giving Purpose
Yvonne Lai, Mary Alice Carlson, Ruth M. Heaton

8. Who Are the Experts?
John Ewing

Part III. Identifying and Structuring Core Ideas and Practices in K-12 Mathematics Curriculum

9. Building on Howe’s Three Pillars in Kindergarten to Grade 6 Classrooms
Karen C. Fuson

10. Is the Real Number Line Something to Be Built or Occupied?
Hyman Bass

11. What Content Knowledge Should We Expect in Mathematics Education?
Richard Askey

12. Approaching Euclidean Geometry Through Transformations
Zalman Usiskin

13. Curricular Coherence in Mathematics
Al Cuoco, William McCallum

Part IV. Supporting and Engaging Mathematicians in K-12 Education

14. Attracting and Supporting Mathematicians for the Mathematical Education of Teachers
Amy Cohen

15. The Contributions of Mathematics Faculty to K-12 Education: A Department Chair’s Perspective
Solomon Friedberg

16. Supporting Education and Outreach in a Research Mathematics Department
Jerry Dwyer, Lawrence Schovanec

17. Erratum to: Attracting and Supporting Mathematicians for the Mathematical Education of Teachers
Amy Cohen

Avainsanat: Education, Mathematics Education, Mathematics, general