The ICTS Outreach team visited St. Anne's School in Hesaraghatta and conducted a workshop on Commensurables and Irrationals for 47 students of Class 10.
Through hands-on activities using paper strips and string as measuring tools, students explored the idea that all positive rational numbers are commensurable with each other. They were also introduced to the technique of proof by contradiction.
During the session, two students observed that the set of even numbers and the set of natural numbers can be put in one-to-one correspondence.
The session ended with a note on the many open questions in mathematics that still remain unsolved, and how future researchers perhaps some among them will be needed to help find the answers.