Text-to-self connections are actually personal connections that you make between yourself and the selection you are dealing with. Previous experiences,emotions,or opinions may be similar to the ones present in the material.
Text-to-text connections are connections where you relate one material to another that you have read or have already came across. Texts might be from similar author, same theme or topic, same genre, and the like.
Text-to-world connections are the larger connections that a reader brings to a reading situation including our perception of the world which might vary since we have various sources of learning things beyond personal experiences (e.g television, radio, magazines, articles, movies, etc.)