Cory agree with most of what you've said. I always bang on about Mindset (Dweck) but I believe a growth mindset would have taken me far further in life. I CAN get better at things I find difficult. I will be instilling this in my family! You say:
Talent won't do it on its own, but without real talent there is a certain limit to how far you can go.
Define 'real talent' though, often what we think of as giftedness is hidden practice and expertise in disguise. One study found top performers had learnt no faster than those who reached lower levels of attainment, hour after hour each group had improved at an almost identical rate. The difference was in the number of hours the top performers put in, they had practised for more hours. Matthew Syed puts these sorts of arguments forward (see Syed thread on secondary education - including link to brief radio 4 debate with someone with an opposing point of view). Rudiger Gamm was hailed as a mathematical prodigy and named 'a human miracle' because he could find the quotient of two primes to 60 decimal places. Thing was he had devoted his life to maths from a very early age, practising for many hours a day.
Tiger Woods was handed a golf club at 3 or something like that and had but in thousands more hours of practice than others beginning golf 3 years later. He had a huge advantage. I was one of the under graduates you describe and my essays were embarrassing, full of over blown, flowery, rambling prose. Total rubbish in short. When this was pointed out I sought out the best mentor I could find and turned things around. I was prepared to work harder than my peers plus I loved the subject. I think that Johnny Wilkinson and David Beckham were far more dedicated than the average sportsman, they spent hours and hours when everyone had gone home doing more and more. Perhaps you could say they were obsessed and driven far beyond the majority. So what's talent to begin with and who's to say your students can't surprise you? Or do you think that their pre-determined IQ can only go so far?
I think true giftedness is extremely rare. I've had reception teachers tell me they can spot gifted pupils at 4, but how do they know this 'gifted' pupil hasn't had many hours of help at home? Yet our whole school system is set up so we expect those who have achieved highly early on to continue this trend, at least to a degree, or it's likely we're failing them. Certain pupils are seen as so much smarter and treated as such, this has an ongoing effect (good and bad).
Einstein said he had no 'special talent': 'I know quite certainly that I myself have no special talent; curiosity, obsession and dogged endurance combined with self-criticism have brought me to my ideas'.
Our core beliefs are more important than any talent we may or may not possess. Edison is often quoted as a genius but he had huge teams around him to make his invention possible. He had a growth mindset alright though: 'If I find 10,000 ways something won't work, I haven't failed. I am not discouraged, because every wrong attempt discarded is another step forward'.
Recent developments in cognitive science have shown that even though some may have more 'raw ability' than others with practice most can dramatically improve from our starting point. A study of London cabbies showed the the area of the brain that governed spatial navigation was much larger than it was for non taxi drivers. It didn't start out like that, but it developed over time whilst they worked. Even maths whizzes apparently eventually begin to use a part of the brain associated with episodic memory which makes them more efficient. Apparently our whole brains have neurons which can be effectively switched on to help us but we are going to have to work damned hard to make this happen. What interests me is that so many seem to think we are born with our potential for greatness in all areas encoded in our DNA and there isn't a lot we can do about it. It's simpler to think in these terms especially when decisions have to be made about how to allocate sparse educational resources & who is the most deserving of an academic education etc.
IMO a growth mindset is the most important thing, a growth mindset can dramatically change your life for the better. Cory your DD will have a growth mindset with you as a mother.