Teaching

There are so many factors that can help a student learn any topic, let alone mathematics, and there are many approaches that are effective. My approach has primarily been a student-centered, interaction-based format. Please allow me to outline some of the features of my classroom and highlight some of the aspects of my classes which lead to student success.

• Creating a comfortable, open-forum classroom environment in which students are comfortable asking questions at any time and are comfortable answering my questions to them.
• Being available to students as often as they need to ensure that they are getting the most of their experience in my class and learning as much as they possibly can.
• Incorporating technology to enhance lecture, educate students about computational tools, and promote technological literacy in general.
• Making use of Open Educational Resources whenever feasible.

For each class that I have taught, I have made a record below and attached the syllabus for that course.

At Central Michigan University

• MTH 105: Intermediate Algebra (Summer 2020, Summer 2022)
• MTH 132: Calculus I (Spring 2020, Summer 2021)
• MTH 132H: Honors Calculus I (Fall 2015, Fall 2016, Fall 2017, Fall 2018)
• MTH 133: Calculus II (Fall 2013)
• MTH 133H: Honors Calculus II (Spring 2019)
• MTH 217: Business Calculus (Summer 2016, Summer 2017, Summer 2018, Summer 2022)
• MTH 223: Linear Algebra and Matrix Theory (Fall 2014)
• MTH 232: Linear Algebra and Differential Equations (Spring 2021)
• MTH 233: Multivariable Calculus (Spring 2014, Fall 2018)
• MTH 321: Elementary Number Theory (Fall 2023)
• MTH 332: Introduction to Mathematical Proof (Fall 2020, Spring 2024)
• MTH 375: Discrete Structures (Fall 2018)
• MTH 521: Theory of Numbers (Fall 2021)
• MTH 523: Abstract Algebra (Spring 2018, Spring 2022, Spring 2023)
• MTH 525: Advanced Linear Algebra (Fall 2015)
• MTH 527: Representation Theory of the Symmetric Group (Spring 2016)
• MTH 578: Combinatorics and Graph Theory (Fall 2016, Fall 2022)
• MTH 625: Theory of Associative Rings (Fall 2014)
• MTH 627: Representation Theory of Lie Algebras (Spring 2017)
• MTH 673: History of Advanced Mathematics (Summer 2014, Summer 2016)
• MTH 678: Combinatorics II (Spring 2015, Spring 2019)

At the University of Connecticut

• Math 1020: Problem Solving (Fall 2007, Spring 2008)
• Math 1070: Mathematics for Business and Economics (Summer 2012)
• Math 1131Q: Calculus I (Fall 2008, Fall 2009¹)
• Math 1132Q: Calculus II (Spring 2009, Spring 2010¹)
• Math 2310: Honors Multivariable Calculus (Fall 2010)
• Math 2410: Differential Equations (Spring 2011, Summer 2011, Fall 2011)