Learners should be allowed to find their own levels and explore the paths leading there with as much and as little guidance as each particular case r… - Hans Freudenthal

No scientist is as model minded as is the statistician; in no other branch of science is the word model as often and consciously used as in statistics.

Geometry is grasping space. And since it is about the education of children, it is grasping that space in which the child lives, breathes and moves. The space that the child must learn to know, explore, conquer, in order to live, breathe and move better in it.

[Guided reinvention is] striking a subtle balance between the freedom of inventing and the force of guiding, between allowing the learner to please himself and asking him to please the teacher. Moreover, the learner’s free choice is already restricted by the “re” of “reinvention”. The learner shall invent something that is new to him but well-known to the guide.