Fractals & Dynamics: Adventures in Problem Solving

Explore the dynamic processes of how fractals form in nature, while expanding on ideas from school mathematics to create your own beautiful fractal images.

(This course is targeted at children entering Grades 8, 9, 10 in 2021-22)

Mathematicians are not human calculators. They are observers who learn to see what the untrained eye does not notice and thinkers who use logic to look beyond the obvious.

In this course you will explore fractals- highly complex shapes that inhabit a zone between dimensions! You can find fractals in coastlines, trees, clouds, mountains, river basins, and the circulatory systems of living organisms. Mathematicians and artists use fractals to create intricate and beautiful images. Movie producers use them to design artificial landscapes in science fiction and fantasy films. Yet, despite their complexity, fractals are formed from relatively simple mathematical and physical processes. In this course, you will explore some of these dynamical processes while expanding on ideas from school mathematics to create your own beautiful fractal images.

The highly interactive sessions will involve working independently and in small groups as well as sharing and discussing your work with others. After each interactive session, students will work on their own to extend the problems further and frame questions for future exploration. Students will submit the assignments and their questions and will receive feedback and responses from the instructor.

Testimonials from Parents (of past participants):

"Every day Jerry assigns work; his comments on the submitted assignment are so good; he provides clues for moving to the next step. I am a student of Math myself. Jerry is doing a great job which cannot be valued in money terms. Lucky are his students!"

"My son is extremely interested in Math and Science (and a lot of other things, but primarily math and science). Genwise and Jerry Burkhart kindly let him do courses with older kids. Some behaviour issues that would come with younger age were handled very well. I have not seen my son so happy learning math from someone else earlier. Amazing part, even after the courses, Jerry still answers his emails and encourages him to think further on the problem."

Please click here to view a recording of a brief (30min) parent/ child orientation session held on Apr 4, 2020.