Right now I'm practicing the first two Taikyoku katas, but when sparring it seems folks don't really use blocks. I'm just curious how these katas are supposed to work in practice. Ok, lets break this down. Firstly kata (or kata with bunkai) were usually developed for self-defence situations rather than sparring. I think it was Anko Itosu who said something like “It is not intended to be used against a single assailant but instead as a way of using the hands and feet should one be confronted by a villain or ruffian.” This indicates, at least to me, that kata were developed not for a single assailant (ie sparring match) but for use in a self defence situation (confronted by an attacker). Therefore kata will not address the more modern sparring practice that is common in most clubs today. Something I think you have already found out (when you said “folks don’t really use blocks”. If you are after bunkai to Taikyoku kata I would say that you will may be disappointed to know that the kata were developed by Gigo Funakoshi not too long ago and from what I believe, the Karate of this time was already predominately “block-punch-kick” karate. Gichin Funakoshi Ten No Kata seemed to be have developed during the same era and its bunkai is presented by Gichin himself as “block-punch-kick” karate. That being said the movements in the kata still are traditional karate movements that are found in older kata, so you can definitely use the sources above (Iain Abernethy, Patrick McCarthy etc..) to gain practical applications to the kata. However I do not see this helping with your sparring in class.