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Over the years, I have taught Precalculus and Calculus I as the main instructor for six full semesters, using Inquiry-Based Learning (IBL) methods with classes of 15–25 students. In Fall 2024, I was also a co-coordinator for Calculus I (Math 115) at the University of Michigan, helping to organize the course for about 2,000 students. My work included mentoring and observing new instructors, leading meetings, and creating original active learning assignments and exams.
I have also led active learning sessions and given math talks to middle and high school students, as well as undergraduates. Below, you can find some useful materials I have collected and created over the years.
Problem_sets.pdfIn the fall of 2024, I wrote the original inquiry-based learning assignments for students to work on in groups. In one of the problems, students are asked to use AI and reflect on whether it makes sense. This way, we teach our students to use technology with caution and know its limitations.
Inquiry-Based Learning in class
Inquiry-Based Learning in class
MATH105 (Worksheets and Handouts, WN22, adapted from F. Gandini)
MATH115 (Worksheets and Handouts, FA21)
MATH 110 (and 105) (Summaries, FA23)
Math circle March 3.pdfMath Circle WN24
Math Circle WN24
Top Secret Coding: Crafting Bracelet Ciphers (worksheet)
MaCSS Scholars program May 27.pdfMaCSS Scholars WN23
MaCSS Scholars WN23
Random graphs, social networks, and the Internet (worksheet)
math-circle-Katia.pdfMath Circle FA22
Math Circle FA22
Bridge problems. Intro to Graph theory (worksheet)
Math Club 9 Nov 2022.pdfMath Club FA22
Math Club FA22
Random graphs, social networks, and the Internet (worksheet)
This is the expository talk I recorded for Big Ideas In Dynamics,
an AIM research community for graduate students in dynamics.
Summary Ch3.pdfSummary Ch4.pdfSummary Ch1.pdfClassroom Community Building
Classroom Community Building
exam-tips.pdfStudy Tips
Study Tips
note-card.pdfNotecard Ideas
Notecard Ideas
take-away.pdfTakeaway
Takeaway
Getting feedback from your students (template of exit ticket)
Getting to know your students (create a copy of survey with mathematical story)
Quiz activities (team quiz, "grade yourself" quiz, quiz with reflection, correcting assignment, "find mistakes" quiz)
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