Why playing with algebraic and calculus concepts—rather than doing arithmetic drills—may be a better way to introduce children to math
The familiar, hierarchical sequence of math instruction starts with counting, followed by addition and subtraction, then multiplication and division. The computational set expands to include bigger and bigger numbers, and at some point, fractions enter the picture, too. Then in early adolescence, students are introduced to patterns of numbers and letters, in the entirely new subject of algebra. A minority of students then wend their way through geometry, trigonometry and, finally, calculus, which is considered the pinnacle of high-school-level math.
Source: 5-Year-Olds Can Learn Calculus – The Atlantic
My Comments: Really think this is a pretty interesting and exciting approach.