For unit testing, I found both Test Driven (tests first, code second) and code first, test second to be extremely useful.
Instead of writing code, then writing test. Write code then look at what you THINK the code should be doing. Think about all the intended uses of it and then write a test for each. I find writing tests to be faster but more involved than the coding itself. The tests should test the intention. Also thinking about the intentions you wind up finding corner cases in the test writing phase. And of course while writing tests you might find one of the few uses causes a bug (something I often find, and I am very glad this bug did not corrupt data and go unchecked).
Yet testing is almost like coding twice. In fact I had applications where there was more test code (quantity) than application code. One example was a very complex state machine. I had to make sure that after adding more logic to it, the entire thing always worked on all previous use cases. And since those cases were quite hard to follow by looking at the code, I wound up having such a good test suite for this machine that I was confident that it would not break even after making changes, and the tests saved my ass a few times. And as users or testers were finding bugs with the flow or corner cases unaccounted for, guess what, added to tests and never happened again. This really gave users confidence in my work in addition to making the whole thing super stable. And when it had to be re-written for performance reasons, guess what, it worked as expected on all inputs thanks to the tests.
All the simple examples like function square(number)
is great and all, and are probably bad candidates to spend lots of time testing. The ones that do important business logic, thats where the testing is important. Test the requirements. Don't just test the plumbing. If the requirements change then guess what, the tests must too.
Testing should not be literally testing that function foo invoked function bar 3 times. That is wrong. Check if the result and side-effects are correct, not the inner mechanics.