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Teaching mathematics has more to do with garnering a curiosity than developing a skill. I believe that a student doesn't become 'good' at math by learning to solve problem sheets, but rather by acquiring a thirst understand it's nature so strong that solving a problem sheet becomes a learning opportunity, not an assignment.
I have coached my juniors in school to make the Indian team for International Mathematics Olympiad. And I have also coached some of my juniors to clear their final exams. And I have done both of the above by personally approaching each student's mindset with a plan that fits them perfectly.
'To solve puzzles that everybody should be able to solve, let us start by puzzles you can solve'... is the motto I work with.