Im guessing explaining DNA and pre cambrian soup to be quite difficult for lower school pupils.
The general concepts are correct in the assertion that one life form mutates, evolves and ultimately new life forms are formed through this process.
The name Darwin is synonymous as he was the intial proponent of this type of theory with some evidence to support his claim.
If you struggle to understand why people who use the word Darwin and evolution in the same sentence, dispute darwins theory not being 100% accurate then you must have some kind of mental block. Darwin gave us the building blocks for the theory. He killed off the notions that life begins from extcrement or any of the previous theories that were based upon much simpler observations...
Just like everyone talks about Edison with regards to electricity.. doesn't mean that Edison created the first bulb or proved everything that we know about electricity. He was just one of the main thought changers. However Edison didn't bring us electricity in the form we know it in today as AC, he wanted DC...
Doesn't stop people using the new Edison though, even though now we don't always use when he prescribed...
But that is so obvious its like I am spoonfeeding a child here.
Clearly you've read some source that says, 'attack DARWIN'..except we know that what he said is not 100% accurate. we get it, we know. However the theory area is still called Darwinism as a tribute to the man who brought the first real signs of these discoveries to every man.