The mechanism
A planner searches through possible moves while holding rules and subgoals active. Harder problems require looking farther ahead and sometimes moving an object away from its final position to unlock a later step. Initial planning and online correction are related but distinct: one person may think longer before the first move, while another begins quickly and revises the sequence during execution.
What to measure
Record minimum possible moves, actual moves, rule violations, time before the first move, time between later moves, and completion rate by difficulty. Excess moves indicate efficiency but should be interpreted alongside planning time. Repeated solutions also need a familiarity flag, because memorizing a sequence is different from constructing a new plan. Group puzzles by optimal path length and required look-ahead, so progress is not created merely by replacing hard configurations with easier ones.
Useful practice conditions
- Start with problems whose optimal solution can be explained, then increase required look-ahead gradually.
- Separate planning time from movement time so careful preparation is not scored as simple slowness.
- Use new configurations and occasional rule variations to reduce memorization of fixed move sequences.
Limits of the conclusion
Tower performance reflects planning under a compact, fully specified set of rules. Everyday projects include uncertain information, changing priorities, and social coordination that the puzzle does not reproduce. Practice can improve strategy for the task, but a completed tower is not direct evidence of better decisions in work, study, or finance.