I suspect that none of us think in straight lines. We have random ideas that we progressively arrange into some sort of order, or forget them. The Nobel Laureate, Herbert Simon thought that three characteristics defined creative thinking: first, the willingness to accept vaguely defined problems and gradually structure them; second, a preoccupation with problems over a considerable period of time; and, third, extensive background knowledge. The first two characteristics seem strongly connected because you need to think about an ill-defined problem over a significant period of time in order to gradually provide a structure that will allow you to create possible solutions. We need to have random thoughts in order to generate new structures and possible solutions that might work better than those we have already tried out; so, thinking in straight lines is unlikely to be productive and instead we need intentional mind-wandering [see ‘Ideas from a balanced mind‘ on August 24th, 2016]. More complex problems will require the assembling of more components in the structure and, hence are likely to require a larger number of neurons to assemble and to take longer, i.e. to require longer and deeper thought with many random excursions [see ‘Slow deep thoughts from planet-sized brain‘ on March 25th, 2020] .
In a university curriculum it is relatively easy to deliver extensive background knowledge and perhaps we can demonstrate techniques to students, such as sketching simple diagrams [see ‘Meta-knowledge: knowledge about knowledge‘ on June 19th, 2019], so that they can gradually define vaguely posed problems; however, it is difficult to persuade students to become preoccupied with a problem since many of them are impatient for answers. I have always found it challenging to teach creative problem-solving to undergraduate students; and, the prospect of continuing limitations on face-to-face teaching has converted this challenge into a problem requiring a creative solution in its own right.
Simon HA, Discovery, invention, and development: human creative thinking, Proc. National Academy of Sciences, USA (Physical Sciences), 80:4569-71, 1983.