You can turn the timer off if you really want.
However being timed is sort of good. Almost all serious games have a time limit. TT teaches you to use the time you have avalible to find the best move
Tactics Trainer Focus on Speed is Improper
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Tactics Trainer needs to focus less on speed, and it needs to focus on teaching people to take their time until they see the right move.
By rushing people, you can't teach them, so as a training tool, it fails.