M03 - 
Combinatorics: The Art of Counting without Counting
  Combinatorics is a subject that is ideal for developing skills in logical reasoning and finding patterns. The problems we explore in this two-day seminar are concrete and easy to understand, although their solutions can be challenging. For example: how many slices of pizza can you make using "n" straight cuts? How many ways are there for you to walk to work if you live on the corner of 1st Avenue and 1st Street and work on the corner of 7th Avenue and 7th street? In addition to developing counting techniques, we will also discover relationships between seemingly different problems. We will relate combinatorial problems to the Fibonacci numbers and to Pascal's Triangle. This seminar is most appropriate for middle school and high school math teachers, but anyone who enjoys numbers and problem solving is welcome!
Harvard University-Rosovsky Hall
1/14/2021, 1/21/2021