[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.
p. 48; As cited in: Anne Birgitte Fyhn (2007, p. 14) - Revisiting Mathematics Education (1991)