One of the greatest mathematicians Andrew Wiles once told that it is really important to give students a chance to work with passionate teachers before starting secondary education, and it is not easy to do so, even in America.
He knew by his experience because he was determined to solve Fermat's Last Theorem when he was only 10 years old. Many of us agree that being passionate is just as important as experience and paper qualifications.
Is there a system to encourage mathematics teachers to be passionate? And how can (we make it easier for) students to realize that their teacher is passionate in mathematics?
In December 2021, I created my own combinatorics challenge and sent it to many of experienced and qualified university lecturers but none of them could sense the importance of the issue. Finally an overseas professor told the problem is good enough for a university research project. That encouraged me a lot, and after working with it for couple of months I was able to solve the problem and generate 12 new sequences which are published on OEIS. After that I have created another 4 new problems related to grid paths and generated yet another 4 completely new sequences which are already published on OEIS.
I think by doing such things I can gather new knowledge and be an example to students for how to be committed to their studies by finding ways to get maximum output from the very little they know.
I'm doing this as my passion without receiving any kind of encouragement from local bodies, but if there is a way of giving value for such personal research works like happening in university level, it would be great encouragement for mathematics teachers to be passionate in subject.
What would you suggest to produce passionate teachers who can inspire students also to be passionate in mathematics ?