Séance Séminaire

From University Mathematics to Mathematics Education

Upgrading Learning for Teachers in Real Analysis: A Look at Diversifying Mathematical Connections to Counter Klein's Second Discontinuity

Secondary mathematics teachers in the United States often have to take a course in Real Analysis as part of their degree program. Many see little value in these advanced courses. This talk explores ideas and results from one project, Upgrading Learning for Teachers in Real Analysis (ULTRA), in which modules for a real analysis course were designed to make more explicit the connection to school mathematics teaching. The talk will explore the overarching instructional model for module design and, in particular, discuss how diversifying the kinds of mathematical connections between school and university mathematics was used to help counter Klein's second discontinuity.