Inventing Mathematics: Groups and Symmetry
Become a mathematical inventor who creates and analyzes operations and rules of new mathematical systems! In doing so, you make connections to familiar real-world contexts and gain a deeper understanding of both number and geometry topics from school mathematics.
(This course is targeted at children entering Grades 8, 9, 10 in 2020-21)
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 become a mathematical inventor who creates and analyzes operations and rules of new mathematical systems! In doing so, you make connections to familiar real-world contexts and gain a deeper understanding of both number and geometry topics from school mathematics.
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.
The couse facilitator talks about the approach he takes in his courses here.
Jerry Burkhart is a mathematics educator who has spent his career bringing math to life for students from early elementary school through the university level. For over 20 years, his specialty was teaching advanced learners in middle school (grades 5-8) and working with teachers to support the needs of talented math students of all ages. He is the author of the six-book series, Advanced Common Core Math Explorations published by Prufrock Press, and he presents regularly at state, regional, and national conferences in the U.S. on the topics related to mathematical talent development.
He is a member of the community of educational consultants at MyEd Expert (myedexpert.com) and is the founder of 5280 Math Education, which offers tools and strategies for adventurous math learners and their mentors (5280math.com). He has also conducted 2 very successful "mathematical thinking" summer courses for gifted students in India, since 2016.