Problem-Solving Techniques

"Using Problem-Solving Techniques to LEARN and to TEACH Good High School MATHEMATICS

presented by Chris Bolognese, Upper Arlington City Schools

Tuesday, Wednesday, Thursday, June 17-19, 2014


This 3-day workshop is designed for the high school mathematics teacher who wants to explore open-ended problem solving techniques, specifically those that are apparent in mathematical contests. Classic contest problems will be fully explored through technology and collaboration. Problem-solving strategies and connections to the Common Core Mathematical Practices will be emphasized. This is a chance to strengthen one's content knowledge while having fun with like-minded colleagues!

This course, along with one other course, may be used by an INTERVENTION SPECIALIST to become a HIGHLY QUALIFIED             TEACHER (HQT) in mathematics CONTENT.


  • Geometry
  • Functions
  • "Word" problems
  • Equations and inequalities
  • Exponentials and logs
  • Number Theory
  • Vectors and Matrices
  • Systems of equations
  • Conic Sections
  • Combinatorics
  • Complex Numbers
  • Sequences and Series
  • Calculus
  • History of Mathematics
  • Much Much More!!!

Course Expectations

Attendance at all sessions
Participation in all activities
Collaboration with others

Problems to Ponder for the Workshop

1. How many digits does 22014 have when expanded?

2. The sides of a triangle are three consecutive integers. If the largest angle is twice the smallest angle, find the triangle's exact area and perimeter.

3. How many total squares of any size are in a 3 by 5 rectangle? 4 by 8 rectangle? m by n rectangle?