Geoff Mulgan

As the Internet of things advances, the very notion of a clear dividing line between reality and virtual reality becomes blurred, sometimes in creative ways.

The once-science-fiction notion of hyper-connectivity - where we are all constantly connected to social networks and other bubbling streams of digital data - has rapidly become a widespread reality.

Courses can, and should, incorporate the excitement and fun of programming games, apps or even real digital devices.

There is incredible potential for digital technology in and beyond the classroom, but it is vital to rethink how learning is organised if we are to reap the rewards.

Governments that invest billions in new hardware still find it hard to accept that they might benefit just as much from systematic innovation in such things as child development or cutting crime.

Radicalism is as British as tea and cakes, as much a part of our make-up as monarchy and football. It will never have its own jubilees, palaces or honours system.

Even many of the teenagers who feel confident on navigating the web simply don't have the skills needed to 'write and create' digital tools, not simply consume them.

The responsibility for good government lies not just with governments themselves but also with every other part of the system they operate in, including media, non-governmental organisations and the public.

The end of life is likely to be an important focus for innovation. Most people die in hospitals, tied up with tubes and with their bodies pumped full of drugs. Yet most would rather die at home and with more control over the timing and manner of their death.

The most important innovators often don't need any technologies - just imagination and acute sensitivity to people's needs.

Lots of creativity is and should be solitary.

As a civil servant in charge of the government's Strategy Unit, I brought in many people from outside government, including academia and science, to work in the unit, dissecting and solving complex problems from GM crops to alcohol, nuclear proliferation to schools reform.