Is it possible to teach higher mathematics in an interesting manner?
Are the concepts of higher mathematics difficult to explain as a teacher? What are the possible ways in which it can be taught in a manner which will interest the students?
Since our childhood, we have heard about many teachers who have taught or are teaching Mathematics in various interesting and innovative manner. Some sing songs to teach multiplication tables, some other draw colourful figures to teach basic arithmetic operations like addition, subtraction, multiplication and division. Some other teachers teach various concepts like fraction, percentage, profit & loss in many other innovative ways.
But when we start studying higher mathematics like Abstract Algebra, Calculus, Real Analysis, Vector and Tensor, Theory of Equation, LPP and other branches, we enter the realm of a different world which has no relation with the normal world of numbers. Everything is abstract in higher mathematics. There is no way to teach higher mathematics in an innovative manner. Whoever studies higher mathematics, does this due to his love for abstract numbers.
These students of higher mathematics enter, live and love this abstract world. They don't want to come back to the world of real numbers.