There would be no app or books like this kind of learning from elementary school to college level!
To see from "higher position" or to see from "different angle" gives us a lot of information.
Through this app, users would learn that math is operations based on simple rules. As we know
combination of simple rules can lead complicated questions like 01 computation. But to recognize the simplicity of math would give us a confidence for understanding and solving questions or problems.
I hope that users would have the confidence by this math app experience.
This app has two modes, "Climbing" and "Practice" mode.
Stage1 : An angle in Triangles.
Stage2 : An angle on a circle.
Stage3 : Square root, a length of triangles and quadratic function.
Stage4 : Trigonometry
Stage5 : Differentiation
Stage6 : Taylor series
1. Square root.
-b square root for 100
-c four operations
-d geometry with square root
2. Proof of Pythagorean theorem
3. Quadratic functions
-a. sin, cos, tan
-b. graph with unit circle
-c. Addition formula
-d Sum - product rule
-a law of sines
-b law of cosine
7. short-cut for each Stages