Mathematics Matters in Education: Essays in Honor of Roger E. Howe

Part I. Introduction.- Chapter 1.Introduction.- Chapter 2.About Roger E. Howe and his contributions to mathematics education.- Chapter 3.Cultural knowledge for teaching mathematics.- Part II. Knowing and Connecting Mathematics in Teaching and Teacher Education.- Chapter 4.The content knowledge mathematics teachers need.- Chapter 5.Knowing ratio and proportion for teaching.- Chapter 6.How future teachers reasoned with variable parts and strip diagrams to develop equations for proportional relationships and lines.- Chapter 7.Giving reason and giving purpose.- Chapter 8.Who are the experts?.- Part III. Identifying and Structuring Core Ideas and Practices in K-12 Mathematics Curriculum.- Chapter 9.Building on Howe's three pillars in Kindergarten to Grade 6 classrooms.- Chapter 10.Is the real number line something to be built, or occupied?.- Chapter 11.What content knowledge should we expect in mathematics education?.- Chapter 12. Approaching Euclidean geometry through transformations.- Chapter 13.Curricular coherence in mathematics.- Part IV. Supporting and Engaging Mathematicians in K-12 Education.- Chapter 14.Attracting and supporting mathematicians for the mathematical education of teachers.- Chapter 15.The contributions of mathematics faculty to K-12 education: A department chair's perspective (mathematicians in K-12 education).- Chapter 16.Supporting education and outreach in a research mathematics department.