The pdf which you shared on the thread What would you ask Carol Dweck? and also as the OP for this thread... is from youcubed.org, titled "Setting Up Positive Norms in Math Class", and states, in part
Quote
the latest research is telling us that students can reach any levels in math because of the incredible plasticity of the brain.
However Jo Boaler does not appear to give a source for that research.

Meanwhile mindset states, in part:
Originally Posted by mindset, page 50:
The growth mindset is the belief that abilities can be cultivated. But it doesn't tell you how much change is possible or how long change will take.
Therefore it appears that the mindset research is not the source of Jo Boaler's claim.


Despite Jo Boaler's bold claim that "Everyone can learn math to the highest levels", in her linked "brain science" video, she appears to be back-peddling a bit:
So we now know that ALL students, maybe except you know those with a very specific learning disability, but all other students can achieve at the highest levels of maths in all levels of school K right up to the end of high school.
What evidence was this based on? Jo Boaler describes that she came to this conclusion based on:
1) growth of the area of the hippocampus specializing in visual-spatial processing, in London cab drivers, and
2) anecdotal evidence about a 9-year-old girl who regained the use of the temporarily paralyzed left side of her body, after brain surgery.
While these cases support brain plasticity, they do not necessarily substantiate that all students can learn math at the highest levels.