Pure mathematics defines as the math in which we study concepts. This type of mathematics is also known as speculative mathematics. It is different from applied mathematics in terms of its nature and application. Entirely based on abstract concepts, it is apparently not possible to study the real life effects of these concepts.
Mathematicians state it as a social phenomena (naturally) that provides tools and inspiration for conducting hypothetical research.
Important aspects of pure mathematics:
Abstraction & Generalization
Theorems are generalized for providing sufficient proofs and understanding. Results are simplified and precise that make it possible to conclude results. Generality also makes it compatible with other mathematical concepts and theories.
As far as the teaching skills are concerned it is obvious that highly developed skills are required to understand its disciplines. Mathematics tutor should have the ability to relate facts with mind bending realistic concepts. Studentlance.com provides you tutoring services and gives you the opportunity to find a tutor with all these qualities. They are able to carefully cater the minute details by providing sufficient reading material and support.