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.
Paul LockhartTeaching is not about information. It's about having an honest intellectual relationship with your students.
Paul LockhartEfficiency and economy simply do not make good pedagogy.
Paul Lockhart[Students] are being trained to ape arguments, not to intend them.
Paul Lockhart[Math] curriculum is obsessed with jargon and nomenclature seemingly for no other purpose than to provide teachers with something to test the students on.
Paul LockhartStichwörter: education math mathematics
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In any case, do you really think kids even want something that is relevant to their daily lives? You think something practical like compound interest is going to get them excited? People enjoy fantasy, and that is just what mathematics can provide -- a relief from daily life, an anodyne to the practical workaday world.
Paul LockhartStichwörter: fantasy math mathematics
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No mathematician in the world would bother making these senseless distinctions: 2 1/2 is a "mixed number " while 5/2 is an "improper fraction." They're EQUAL for crying out loud. They are the exact same numbers and have the exact same properties. Who uses such words outside of fourth grade?
Paul LockhartStichwörter: education math mathematics
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