Cornell Math - MATH 507, Spring 2006
MATH 507: Exploring Teaching and Learning in Secondary Mathematics (Spring 2006)
Instructor: David Bock
Math teachers need to have a deep understanding of the mathematics they teach. In this course we'll revisit secondary mathematics, several years after our own school experiences and having now studied more advanced math. We'll explore the foundations of and connections among many topics in number, operations, measurement, proof, algebra, geometry, trigonometry, data analysis, and probability. We'll also examine pedagogical developments and current issues in teaching mathematics.
As we explore the content and goals of secondary mathematics we'll consider several questions:
- What does it mean to think mathematically?
- How can we help students achieve both conceptual understanding and manipulative skills?
- How can we improve students’ problem-solving abilities?
- What are the current state and NCTM Standards, and how do they play out in math classrooms?
- What new activities and approaches are being developed and used in K-12 mathematics?
- What is the appropriate role of technology in mathematics education?
- How can we empower a broader range of students to enjoy and be successful in mathematics?
- How do we address gender and equity issues in the learning of mathematics?
Each week we will explore some math activity or problem, with students actively engaging in discussions of the mathematics and pedagogy involved. Participants will read articles about current issues, occasionally investigating related topics and writing short papers, presenting their ideas, or leading discussions.
This course will be valuable for students who are interested in teaching mathematics or who will be teaching courses to future math teachers. It is open to graduate students or senior undergraduate majors in mathematics, CS, engineering, and math/science education.