I'm a private tutor of High school & pre-engineering level mathematics. Obviously, only those people who have some trouble with maths take tuitions. Most of my students are actually good. I mean they are not dumb. Its just that they are "don't like", "hate", "scared of", "bored" (these are their own words) of mathematics. They feel maths is very abstract.
I don't blame them. Its their teachers and the books they follow. Most of the mathematics books just tell the mathematical concepts either bluntly or in an abstract way. I'm looking for some books which teach mathematics in "fun", "interesting", "intutive", "thought provoking" way. Of course, as a tutor I'm doing my best to make maths simple & intuitive but books also help me in getting new ideas. I really like http://betterexplained.com
These are the topics covered in my tutions
Set theory (Sets, Relations & Functions) Trigonometry Complex Numbers Linear Algebra Number theory Geometry (st.lines, triangles, circles, parabola, hyperbola, 3D: spheres, cubes, etc.) Calculus (Limits, Differential & Integral calculus) Probability (permutations & combinations) Statistics
I'm looking for any kind of resources books, papers, websites, videos, softwares, simulations or even suggestions. I need to cultivate interest at the same time make them good at mathematics.