Problem Solving and Mathematical Proofs

Mathematical problem solving is a process which requires from students various “qualities”, some of which are resilience and mental flexibility. These particular qualities can be 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.

Program Details

Who is Problem Solving for?

This course is designed for:

  • New students students who have finished Grade 8 Math.
  • Returning students who have graduated Gamma level or higher.

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

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