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You’re asking: “Suppose that the equivalent of one hour of the week of preparation of these graduate assistants was to be devoted to learning some of the things that Piaget and his followers have taught us. What would you emphasize? What are your favorite (relatively short, in English, and available free online) references?? Our experiences with relatively short introductions in cognitive psychology of math-learning with reference to the Piagetian approach show that it is more important to organize exercises with the clinical method in the classrooms than teaching theory about stages and so on. Knowing that good theories are best practice, including the teaching rule concerning the clinical method. Unfortunately our website is in German, I send You an example of the Half-Play, which gives an idea of the power of the method. (see: Game with Fractions - the Halfplay ) on the website Das flexible Interview.We often forget that the Piagetian approach is the key to the dialogical education, in contrast to a step by step teaching of mathematics referring to stages and tasks. Steps and stages can suppress real interaction, communication and development as they are mentioned by Piaget and the followers.