fraction be made to stand on its head? and how did that change a division suddenly into a multiplication?"--And I never found out till I undertook to teach some one else, years afterward. Yet the thing could have been made plain then; perhaps would have been, but for the fact that as a respectful pupil I was so trained to think that my teachers' methods must not be questioned or their explanations reflected upon, that I sat mute, mystified, puzzled, and silently indignant. In the end I swallowed it as I did a lot of other "pre-digested" knowledge (?) and consented to use its miraculous nature, very much as my Christian friends use the body and blood of Christ to "wash their sins away" without very well understanding the modus operandi. Another advantage which the botanical or zoölogical cultivator has over the child-grower, by which incidentally the plants and animals profit, is that since he is not seeking to produce a universal type, but rather to develop as many new and interesting types as he can, he is very studious to notice the inclinations of his subjects, observing possible beginnings of differentiation, and adapting his treatment to the development of such beginnings. Of course he also does what no child-cultivator could possibly do,--he ruthlessly destroys weaklings; and as the superior intermeddling divinity, he fosters those special types which are more serviceable to himself, irrespective of whether they are more serviceable to plant or animal life apart from man. But is the fact that children are of the same race as ourselves, the fact that their development should be regarded from the point of how best shall they serve themselves, their own race and generation, not that of a discriminating overlord, assuming the power of life and death over them,--a reason for us to disregard their tendencies, aptitudes, likes and dislikes, altogether?--a reason for us to treat their natural manifestations of non-adaptation to our methods of treatment with less consideration than we give to a fern or a hare? I should, on the contrary, suppose it was a reason to consider them all the more.