Mathematical Problem Solving

This class will focus on approaching problem-solving with creativity and visualization. Topics covered may vary based on students' interest and questions, but include tilings, the geometry of square and triangular numbers, combinatorics, and logic puzzles. We will sometimes use the book Math Circle By The Bay: Topics For Grades 1-5, which is used by one of the most successful math circles for elementary school children (in the California Bay Area). We will incorporate student-run discussions as well as group and individual problem solving, and use physical manipulatives and 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.