In the grid below, you will find a summary of my teaching philosophy alongside evidence of its effective implementation.  Philosophy  Implementation/Evidence   Effective mathematics instruction, especially at the undergraduate level, balances content knowledge acquisition and mathematical skill development. In order to facilitate students’ acquisition of content knowledge and development of mathematical skills, I use various active and collaborative teaching and learning strategies.   Assessment  The above teaching methods are continually informed by assessments that measure both content knowledge acquisition and mathematical skill development.
  Emphasized abstract reasoning and calculations with improper integrals in second semester calculus course
Improper Integrals Quiz
 Provided introductory proofs students with unfamiliar definitions (topology, basis) in order to assess skill of reading and using definitions
Topology Problem Set
 Inclusive Community and Diversity  In order to maximize student learning, I strive for inclusion at many levels of education, from the intimate environment of the classroom to the structural level of the university.   Professional Development  Selfreflection is critical for improving teaching effectiveness. By evaluating past teaching practices, I have discovered new areas for professional growth.
 
