Mathematics confronts teachers with a pivotal question: Do we explain mathematics, or do we encourage students to think for themselves and form their own mental images, out of which they then generate mathematics?
The online resource, ‘Opening Mathematics,’ wants to encourage Waldorf teachers around the world to entrust students with more mathematical production through the use of open-ended mathematics problems in the classroom and to reflect upon their use.
The article at Waldorf Resources, Opening Mathematics, explains why it is best for students to approach math with open ended questions and self driven exploration.
“...tentative explorations of the unknown, with dead-ends and errors along the way, serve as compost for the growth of fertile ideas and for the unfolding of an inner light, out of which mathematical structures crystallise in an inner space of imagination. The reality of mathematical structures can only be experienced through inner production.”
- Waldorf Education