Arithmetic and geometry were taught in the mediaeval school as sciences, in addition the quadrivium involved the science of astronomy, and now that the necessary fertilizing inundation of our general education by the classical languages and their literatures subsides, science of a new sort reappears in our schools. I must confess that a lot of the science teaching that appears in schools nowadays impresses me as being a very undesirable encumbrance of the curriculum. The schoolman’s science came after the training in language and expression, late in the educational scheme, and it aimed, it pretended--whatever its final effect was--to strengthen and enlarge the mind by a noble and spacious sort of knowledge. But the science of the modern school pretends merely to be a teaching of useful knowledge; the vistas, the tremendous implications of modern science are conscientiously disregarded, and it is in effect too often no more than a diversion of school energies to the acquisition of imperfectly analyzed misstatements about entrails, elements, and electricity, with a view--a quite unjustifiable view--to immediate profitable hygienic and commercial application. Whether there is any educational value in the school-teaching of science we may discuss later. For the present we may note it simply as a revived and developing element. On the other hand, while these things expand in the modern school, there are declining elements, once in older schemes of scholastic work much more evident. In the culture of the mediaeval knight, for example, and of the eighteenth-century young lady, elegant accomplishments, taught disconnected from the general educational scheme and for themselves, played a large part. The eighteenth-century young lady was taught dancing, deportment, several instruments of music, how to pretend to sketch, how to pretend to know Italian, and so on. The dancing still survives--a comical mitigation of high school austerities--and there is also a considerable interruption of school work achieved by the music-master. If there is one thing that I would say with certainty has no business whatever in schools, it is piano-teaching. The elementary justification of the school is its organization for class-teaching and work in unison, and there is probably no subject of instruction that requires individual tuition quite so imperatively as piano-playing; there is no subject so disadvantageously introduced where children are gathered together. But to every preparatory and girls’ school in England--I do not know if the same thing happens in America--the music-master comes once or twice a week, and with a fine disregard of the elementary necessities of teaching, children are called one by one, out of whatever class they happen to be attending, to have their music-lesson. Either the whole of the rest of the class must mark time at some unnecessary exercise until the missing member returns, or