A basic mating drill should teach safe coordination and stalemate awareness, not only chase the king around the board.
What to do
Use a legal practice position. Restrict the opposing king gradually, bring your king into support and check legal replies after every move. Verify the final position is checkmate rather than stalemate.
A mistake to avoid
Do not place the queen carelessly beside the enemy king or remove all legal moves without giving check.
A detail worth checking
Finish by verifying the final position: the king is checked, captures of the checking piece do not work and there is no legal escape. A claimed mate deserves the same careful inspection as the preceding technique.
Try this practical check
Repeat the same exercise from several legal starting positions. Record whether the failure came from a loose queen, poor king support or an overlooked stalemate.
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