Personally, John Baker, the strategy you say you use is the most effective. I am not really an expert at regular reversi, however. Anti-reversi is my game.. but the strategy is of course similar.
When learning reversi, I used to try to always take as many as possible through the game.. and lost almost every time! lol. it's all about position, not numbers, through most of the game, in my opinion..
(hide) If you don't want other users to know what you are doing you can change into cloak mode in Settings (paying members only). (pauloaguia) (show all tips)