Summer Programs
Problem Solving & Proofs
Mathematical problem solving is a process which requires from students certain “qualities”, such as resilience and mental flexibility. In this course, these qualities are developed through intense problem solving sessions.
In the first part of this course, students will be exposed to a collection of intriguing and challenging mathematical problems. The problems are selected such that they present multiple significantly different solutions. The goal of this “exercise” is to develop students’ ability to follow up on an “initial idea” until they exhaust it, and start all over again on a different path until they find a solution. Students will benefit from building connections, experiencing relatedness between seemingly distant topics and deepen their understanding and appreciation of mathematics as a human endeavour involving creativity and discovery.
By completing the first 4 classes of this course students will be able to make connections between different parts of their mathematical universe and be able to take a more innovative approach to problem solving. They will also get plenty of practice communicating their mathematical thinking in a collaborative classroom setting.
In the second part of the course, students will be introduced to some methods of mathematical proofs such as Mathematical Induction, Direct and Indirect Proofs, Proof by Contradiction.
A man standing in front of a whiteboard with writing on it
Program Details
Who is Problem Solving & Proofs for?
This course is designed for:
No Assessment Test required.
What is the weekly time commitment?
Class duration is 90 minutes. Mandatory homework is not assigned but optional deepening practice is provided. It is up to students and parents to decide how much time they spend practicing the materials learned.
Schedule
This program is not being offered in Summer 2024. Sign up for our newsletter for future news regarding this program.
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Hannah Hwang
Parent
"When I was in the high school what I did most in math classes was memorize formulas and do lots of calculations. I was blessed to find the Math Circles program. I loved the way of approaching the concepts, and I learned a lot from the materials along with my daughter. Thanks so much for providing such a wonderful program to our kids."
Gordon Hamilton
Math Educator
"Let us not equate mathematics and arithmetic; let us not equate applying algorithms and thinking. Math Circles explores mathematics that is worthy of the human intellect. It's not trying to make math easy, but celebrates the challenge of struggling with a tough problem."
Robert Huang
Graduate
"After graduating, I went to University of Waterloo and am studying Statistics. I think Math Circles helped me a lot, especially with regards to tackling a problem from multiple perspectives, which was a skill that I use a lot in both my academic work and professional work."
Simon Kim
Parent
"Once again, Andrew had a wonderful year with Math Potentials. Thank you very much for all your hard work! Andrew has gone from being very intimidated by math to feeling quite confident(sometimes boastful ha ha) and comfortable with it. He got all As last report card, and was recommended to Grade 9 Math because he had finished Grade 8 by December, so in Grade 9, he will be taking Gr10 Math."