No school subject, except perhaps classics, has suffered more then mathematics from secondary rather than primary aims, and to emphasise extraneous rather than intrinsic values. As taught in the past, it has been informed too little by general ideas… Ii is sometimes utilitarian, even crudely so, but ignores considerable truths in which actual mathematics subserves important activities and adventures of civilized man…We believe that school mathematics will be put on as footing only when teachers agree that it should be as art and physical science should be taught, because it is one of the main lines which he creative spirit of man has followed in its development.