"The contemplation of the various steps by which mankind has come into possession of the vast stock of mathematical kn…"

"The chemist smiles at the childish efforts of alchemists but the mathematician finds the geometry of the Greeks and t…"

"[Mathematics] warns us against hasty conclusions; it points out the importance of a good notation upon the progress o…"

"An untold amount of intellectual energy has been expended on the quadrature of the circle, yet no conquest has been m…"

"Another reason for the desirability of historical study is the value of historical knowledge to the teacher of mathem…"

"The interest which pupils take in their studies may be greatly increased if the solution of problems and the cold log…"

"A class in arithmetic will be pleased to hear about the Hindoos and their invention of the "Arabic notation;" they wi…"

"After the pupils have learned how to bisect a given angle, surprise them by telling of the many futile attempts which…"

"When they [students] know how to construct a square whose area is double the area of a given square, tell them about …"

"After the class have exhausted their energies on the theorem of the right triangle, tell them something about its dis…"