Where Rigour Meets Intuition
Are you interested in proving mathematical statements rigorously via proof techniques? Study with us to learn how to use logic, structures like sets and lists, proof methods like induction, and properties of functions and relations. This subject is ideal for students who are preparing for university-level math, computer science, and physics.
Have you signed up for math contests at your high school or middle school? Many countries have a sequence of national competitons, as well as extrance exams and scholarship tests for universities. Excel on the Canadian Waterloo CEMC contests, CMS COMC, and the American AMC contests by studying algebra, geometry, combinatorics, and number theory with us.
If you are ready to invest in working with a coach on a one-on-one basis, then this is right for you. Based on your current level of knowledge about proofs or math contests and based on your goals, we will develop an individualized curriculum and custom homework sets to suit your needs. Please fill in and submit the coaching request form and we will provide more information.
From time to time, we offer live courses in the areas of math contests and proofs. Lessons are live sessions in a group setting via a platform like Zoom. Homework is assigned and graded so that students receive meaningful written feedback on their work, allowing for true improvement of their skills. For current and future offerings, visit our courses page and sign up for our newsletter.
The story so far...
It was grade 7 when Seraj first tasted success in math contests with a score that was one question away from a perfect paper. Hooked, he continued participating in math contests over the next few years, but the questions kept getting harder and the scores became less impressive. As a smart student, he felt that he should be doing better on contests, but school simply did not teach him the theories needed for these challenges. Finally, by consolidating knowledge from extracurricular sources, putting Herculean effort into practicing problems from different countries, and with the advice of a mentor, Seraj qualified for the Canadian Mathematical Olympiad in his senior high school year, making him one of the top 100 students in the country that year. He was even offered a scholarship from the University of Waterloo for doing well on their senior contest. But two questions kept nagging him… “Did it really have to be so hard?” and “How would I have trained my younger self?” Over the next ten years, from 2011 to 2021, he solved thousands of math problems, as a student and as an educator. The sources ranged from math contests and olympiads to university textbooks to classic puzzles. In the process, Seraj learned how to tackle questions that he had never seen before, and he taught hundreds of students to do the same. He realized that the real problem was that he needed to not only obtain theoretical knowledge, but implement overarching strategies and tactics of problem-solving. If you would like to see a synthesis of the mentality that he internalized, sign up for our newsletter and we will email our Master List of Problem-Solving Principles to you! This document includes principles for psychological preparation, initial investigation, intuitive investigation, strategic and tactical rigorous investigation, analyzing a proof, and avoiding common mistakes. It’s better to preprare earlier than later, so don’t wait to receive these principles!