## Lewis, W. James

# Mathematics Matters in Education

**Table of contents**

**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*

**Keywords:** Education, Mathematics Education, Mathematics, general

- Editor
- Lewis, W. James
- Li, Yeping
- Madden, James J.
- Publisher
- Springer
- Publication year
- 2018
- Language
- en
- Edition
- 1
- Series
- Advances in STEM Education
- Category
- Upbringing, Education
- Format
- Ebook
- eISBN (PDF)
- 9783319614342
- Printed ISBN
- 978-3-319-61433-5