Wagner promotes seven "21st century" skills that he claims are not taught in our schools. These "survival" skills are also being promoted by advocacy groups like the National Educational Association.
Wagner's list seems plausible. Who can argue against teaching students "agility and adaptability" or how to "ask good questions?" Yet these "skills" are largely unsupported by actual scientific research. Wagner presents nothing to justify his list except glib language and a virtually endless string of anecdotes about his conversations with high-tech CEOs.
Even where Wagner does use research, it's not clear that we can trust what he reports as fact. On page 92, to discredit attempts to increase the number of high school students studying algebra and advanced mathematics courses, he refers to a "study" of MIT graduates that he claims found only a few mentioning anything "more than arithmetic, statistics and probability" as useful to their work. Curious, I checked out the "study" using the URL provided in an end note for Chapter 3. It consisted of 17, yes 17, MIT graduates, and, according to my count, 11 of the 17 explicitly mentioned linear algebra, trig, proofs and/ or calculus, or other advanced mathematics courses as vital to their work - exactly the opposite of what Wagner reports! Perhaps exposure to higher mathematics is not the worst problem facing American students!