Everyone's stutter is unique at some level- no two stutterers will mess up on the same words every time. The most far-reaching advice that I have been given and believe in is that slowing down and taking pauses is fundamental in beating stuttering. The more words you string together, the greater your chance of eventually stuttering. By stopping every few words and not rushing your speech, you may begin to see an improvement. Other techniques that I know of include talking like you are singing. Incredibly, the vast majority of stutterers are fluent while they sing. So, logic figures that if one talks as if they are singing, they will be fluent. While this isn't ideal in every environment, doing it in moderation can be extremely beneficial and make your speech sound fluent and melodious.
Stuttering is rooted in the fear of speaking words. All stutterers, myself included, only stutter when we fear saying a word. Eliminating this fear is the only way to truly be free of stuttering. One method to address this issue is purely practicing, which is what these sessions hope to accomplish for stutters around the world. The other method that can yield positive benefits is mind training, extensively detailed in Lee Lovett's book Speech Anxieties and Self Cures, in which he discusses how retraining your mind to no longer fear saying words can reap positive benefits.