This has been the central theme of progressive education movement in the US. IIRC, Jo Boaler has been advocating that kids could discover most of the maths by exploring and learning by themselves. I fundamentally disagree with this belief, though. It took thousands of years for our greatest minds to simplify our maths to its current incarnation. Discovering "everything" by myself wastes my time and reduces my chance of working on something more meaningful.
This has been the central theme of progressive education movement in the US. IIRC, Jo Boaler has been advocating that kids could discover most of the maths by exploring and learning by themselves. I fundamentally disagree with this belief, though. It took thousands of years for our greatest minds to simplify our maths to its current incarnation. Discovering "everything" by myself wastes my time and reduces my chance of working on something more meaningful.