Teaching in an environment where the internet and discussion are allowed in exams would be different. The ability to find things out quickly and accurately would become the predominant skill. The ability to discriminate between alternatives, then put facts together to solve problems would be critical. That's a skill that future employers would admire immensely.
In this kind of self-organised learning, we don't need the same teachers all the time. Any teacher can cause any kind of learning to emerge. A teacher does not need to be physically present, she could be a projected, life-sized image on the wall. A "Granny Cloud" of such volunteer teachers have been operating out of the UK and a few other countries into schools in India and South America for more than five years, using a combination of the internet and admiration to provide a meaningful education for children. We don't need to improve schools. We need to reinvent them for our times, our requirements and our future. We don't need efficient clerks to fuel an administrative machine that is no longer needed. Machines will do that for us. We need people who can think divergently, across outdated "disciplines", connecting ideas across the entire mass of humanity. We need people who can think like children.