Mats! Mats are for wimps. Give me the thud of wooden floor any day. Normally Shorinji Kempo is practiced on wooden floors. In fact I my training partner and myself helped out a group from Japan to demonstrate a range of Japanese budo about 10 years ago. The stage had mats down for everyone, including the sword guys. Just when it was Shorinji Kempo’s turn the stage hands ran out and removed all the mats, only to put them back afterwards. In saying this, my students train on mats. I have no choice at the venue I use. It has opened my eyes to how good they work for the instruction of ukemi, it helps them relax a bit more and they pick it up a little faster; however they still need to do it on a hard floor to iron out the bugs they haven’t noticed because of the mats..