Understanding the problem is a step, not a preface
The biggest reason people fail at problem solving is not a lack of clever solutions — it is a failure to understand the problem clearly in the first place. Jumping to solutions feels productive, but it often produces plans that do not match the actual situation. George Polya's first step of problem solving is 'understand the problem,' and he meant it as a full stage of reasoning, not a box to tick on the way to action. Every experienced engineer, planner, and strategist will tell you the same thing: time spent understanding a problem is never wasted, and time spent solving the wrong problem always is.
Understanding the problem means being able to state three things: where you are now, where you want to be, and what prevents you from going directly from one to the other. Those three things are the problem state, the goal state, and the constraints. Every disciplined problem-solving process starts from this triad, and most problem-solving failures come from skipping or rushing one of the three. Newell and Simon formalized this insight in their problem-space framework: a problem is a gap between an initial state and a goal state, traversed by applying operators subject to constraints.
The temptation to skip understanding is strongest when the problem feels urgent. Under pressure, we reach for the first action that comes to mind. But urgency makes understanding more important, not less. A surgeon does not skip the diagnostic step because the patient is critical — the diagnosis is what makes the intervention effective. The same logic applies to every problem domain: the more pressure you feel, the more you need the discipline of describing before acting.