euclid and high school geometry lisbon portugal january 29 2010 h wu the teaching of geometry has been in crisis in america for over thirty years this is a report ...
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...Euclid and high school geometry lisbon portugal january h wu the teaching of has been in crisis america for over thirty years this is a report on that situation together with some comments may be relevant to american perception course secondary place where students learn about proofs not just theorems but every theorem starting from axioms extreme view understood context usual curriculum outside almost noth ing ever proved other words mathematics largely taught schools without reasoning only can found absence elsewhere adds pressure pursue mythical entity called proof as result becomes rigid formalism synonymous aproofis sequence steps going point hypothesis b conclusion we want because they should i recognize clearly their logical argument e what ii goal achieve iii go by use correct purpose learning it immaterial whether at level or assumes riemann holds...