It is a recursive process, constantly building and reinforcing. Show that the total energy of a satellite in a circular orbit equals half its potential energy. The presentation of this solution emphasizes the use of ideas as opposed to mathematical manipulations. Ideas are verbalized prior to expressing them in mathematical form. Developing the solution of a problem or subproblem begins with a basic concept responding to the question asked.
Verbalization serves to access the knowledge requested by the previous step.
This presentation is markedly different from that used in textbooks. Textbooks quite commonly place the emphasis on mechanisms rather than ideas. The driving concept is rarely shown at the beginning of the solution, but makes its appearance at the end. The logic of the problem solution is known to the writer, of course, but is not shared with the reader. Novices are then forced to resort to algorithmic methods since they have not been informed of the sequence of ideas actually used by the expert who developed the solution.