"Mathematics is the art of explanation. If you deny students the opportunity to engage in this activity-- to pose their own problems, to make their own conjectures and discoveries, to be wrong, to be creatively frustrated, to have an inspiration, and to cobble together their own explanations and proofs-- you deny them mathematics itself."

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When I write about "realizations," I am describing a state in which a practitioner has wisdom of who she or he is, and has embodied that wisdom; it has become integrated into daily life, thoughts, and activities. We often view "awakening" as first step towards such realization. Awakening can occur in the blink of an eye, frequently through the direct, heart-opening (heart-breaking) transmission of grace from an awakened teacher.

— Russell Targ