Abstract
Advance organizers appearing in teaching-learning of mathematics are 'expository organizer' and 'comparative organizer' defined by Ausubel and 'model organizer' and 'application organizer' defined by the author who was suggested by Lesh and Johnson (1976). These advance organizers are deeply related to teaching material itself. Then the author, calls them by 'material-based organizer' (= MBO) and has found that MBO which facilitates learning mathematics and retention of it, is a model organizer (and application organizer) which is concrete by the sense of Piaget (concrete and representative in normal sense) and tactile. Thelen (1979) has introduced 'graphic organizer' defined by Barron. It should seem that the graphic organizer is an advance organizer arranging the cognitive structure of learners, and that the graphic organizer is an example of 'arrangement organizer' defined by the author as the advance organizer arranging the cognitive structure of learners.