But I did already visualise them in my attempt to solve the problem, didn't I? Following your own foot steps in the sand (ie checking the solution) makes for a boring journey to already known places ; )
I won't answer every point (in various posts) - sometimes because I don't really have an answer. As usual, I'm trying to provoke a discussion, and it paid off this time because Feynman diagrams were new to me and this looks like something worth reading up. Thank you.
As to the point above, I think we are going round in circles a bit because visualisation seems to mean different things to different people here. No-one has picked up on my mention of suji, so I already suspected that was going to be a problem. For similar reasons, the lack of mention of the stones and board tells me something is amiss.
I'll try one last tack. What I am arguing for is that, to learn something from doing tactical problems, the most efficient kind of practice is effortful and rich in associations. Trying to solve a problem in your head is part of the effort, I agree, but you can add to the effort by playing the moves out on a board. This gives you the flow (suji) of the stones and creates associations. I believe that in real life, very few people do play over variations on a board. They just look at the solution diagram as confirmation they got the solution. They give themselves a pat on the back and move on to the next problem. Then they wonder why they don't seem to improve much. I believe that this standard method fails because of lack of reinforcement and associations. How you do that reinforcement is a matter of personal preference, but however you do it, I think it's got to be done. My suggestion for using coordinates or board letters definitely does
not mean trying to visualise the points indicated in your head. I know that's hard and messy. That is precisely my point, so you don't have to keep telling me. What I'm assuming is that, because it's so messy and hard, you will actually get out a real board and play the solution out
on the board - to absorb the flow, to make the associations.
The exact method you adopt can be totally different from what I'm proposing but I don't see that efficient learning can be achieved unless your choice of method guarantees extra such as associations and flow. Mere repetition of problems that you've solved before but can't now remember is even more boring than - and actually more similar to -tracing your own steps in the sand.
Everyone here has had to study something by means of books. The most basic way is to read the words in the book. Some people don't even get that far. They just look at the pictures, or look for a comic version of the book. Let's not be snobbish about words. Let's assume the word-readers and the picture-readers get something equal out of the book. I would argue that in either case, though, they don't get very much. They might be able to answers questions in a class test, but probably more on the basis of memory than understanding.
Reading the book's words
and looking at the pictures will add someth9ng - but not very much, I suggest. (There is a worse approach, mind you, one I'm guilty of, and that is buying a book and assuming that's job done - the first step is the hardest step, and all that jazz.)
What really allows to you start understanding the book and gleaning whatever may be useful in that book is engaging with it. There is no standard way, perhaps, but people will do things like discuss the book with other people, make notes in the margin, re-read or even memorise sections, try to write the book's ideas in their own words, get sidelights by reading similar books or criticisms, watch a film of the book, and so on and so forth.
All of these methods will add something further to your knowledge, but some methods are better than others. For example, scribbling in the margin is often close to useless, whereas scribbling the book's ideas in your own words - self-testing, in other words - tends to pay off big time. Your internalise the knowledge.
What I see in go is that most people who bother to buy books just look at the pictures. They don't really engage with the book. They even make it impossible to engage properly with the book - they read it on the train or they do five minutes a day. Or they pass the problem on to other people and ask then how to solve tsumego problems, get conflicting answers, and then give up, blaming the other people.
That's what I'm trying to overcome.