Most people will never make it to higher education. It is never mentioned but the educational system works by setting up a threshold on people, not on knowledge. The 20% (or whatever) with the best mathematical skills get to be engineers or scientists. Exams are designed to filter that 20%.
In the US, people with some college is 56.86% of the population, as per wikipedia. The rest of the people are doing jobs that are being automated now or will be automated during the next decade. For example, drivers (self driving cars), factory people (robots), call center (the web and call center speech recognition), and many more. At some point robots will be flipping burgers, it is not that difficult.
We don't have time to educate all this people and create paid jobs for them before the next wave of technology comes around in another ten years. When it comes, it will take away even more jobs.
So we have two choices. We own the robots collectively as a society, or a few rich people owns them. The way things are going, it seems to be the former. This could bring a dystopia if we don't find a way out.
So here is my proposal.
Right now governments get most of their money from labor taxes, but soon this money will dry out. We should stop taxing human labor completely. We are penalizing it. Instead we should tax corporate earnings and financial transactions. That is where all the tax money need to come from. That would keep worthy humans productive even if their marginal value compared to robots is small.
We need to come to terms with the fact that a big and growing proportion of people will not be employed. They should not be considered guilty. In any case they should be considered owners of the automated workforce the same as the rest of people is. So they should be given a cut of the taxes so they can live meaningful lives.