Interesting. I thought the most compelling part of the talk was his interpretation of the purpose for doing math and how we've failed to educate toward that purpose.

I assume you're referring to his assertion that deep understanding of by-hand calculation is not necessary (the driving a car vs servicing a car analogy). I would agree that this may be a false analogy, and that a basic understanding of mathematical concepts (presently drilled into place through hand calculation) may be a fundamentally important step to being able to do math. Especially for those who continue to any advanced math study, fundamental understanding is almost certainly necessary.

But this talk is more about the common student who doesn't go on to college or post-grad math. Overall the broader point of the talk still rings true to me: because of an overemphasis on calculation, the majority of students are receiving insufficient math education to successfully make life decisions and contribute to their own fields of work/study. In my mind, Wolfram presents a viable solution in recommending refocusing math education towards logical thinking and correctly structuring problems, and in utilizing computers for calculation.