I would argue that your first sentence contradicts the rest of your post. Yes, solve problems with tools that suit your criteria. But you might do that better if you actually know some tools.
U dont need to know a tool at all, all u need to know is how to use Google and express ideas clearly and diversely. The rest is mechanical. Solve the problem first then worry about what tool is better. The whole idea of efficiency has destroyed heuristical discovery. Current state of life on this planet: patheticly lame.