This class will focus on approaching problem-solving with creativity and visualization. Topics covered vary based on students' interest and questions, but will focus on combinatorics, which may include explorations of combinations and permutations, counting combinations using Pascal's triangle, combinatorial game theory, graph theory, combinatorial approaches to number theory, and many others.
We will incorporate student-run discussions as well as group and individual problem solving, and use visualizations as often as possible. This will encourage the development of an often under-utilized part of the brain, which will help students with higher-order thinking skills such as logic, problem-solving, making connections, finding patterns, and being able to tackle entirely new problems by breaking them into smaller, more familiar situations. We will also encourage viewing mistakes as an unavoidable and often necessary part of the learning process, and work to break free of the all too common fear of getting it wrong that can underlie lifelong math phobia and perfectionism.
This class provides a new approach to math and is appropriate for all students, whether they are looking for a challenge, prepping for a math competition, or finding themselves struggling to enjoy math in the traditional classroom.
Natasha Komarov of Vermont Math Circle, and a former ICA student, received a BS in Mathematics from Carnegie Mellon University in 2008, and both an MA and a PhD in Mathematics from Dartmouth College in 2010 and 2013, respectively. While in graduate school she was also trained in child development and early education in Dartmouth’s well-received Mathematical Pedagogy Seminar. After graduate school, Natasha went on to hold a postdoctoral position at Carnegie Mellon University for two years before joining the faculty at St. Lawrence University in Canton, NY as an assistant professor in 2015. She received tenure and promotion to Associate Professor in July 2021.
Although Natasha enjoyed teaching college students for 14 years, ever since becoming a parent, her heart lies with educating younger children. She is leaving her position as a professor in order to pursue this passion.
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