My personal soapbox answer is leading them to improve their metacognitive skills. Understanding what you are thinking and the nature of how the mind puts thoughts together enables the articulation. One way to start is through modelling, i.e. making a point of procedurally speaking out loud what you are thinking as you make decisions, calculate something, plan a meal, etc.
This would seem to go against the other way to solve problems, which involves throwing everything into the hopper and let your subconscious deal with it.
This is how I solve a number of legal problems at work (and general questions about reality, normally of an esoteric nature, sometimes years after I first asked the question.)
And normally I get a good solution by the time I need it.
Half the time, I couldn't begin to tell you *how* i got the solution. And, I generally don't *care* how I got it as long as it works.
