That was the way I myself thought before I was led to see what was going on in the pedagogical world, when I convinced myself that Messrs. Bunákov and Evtushévski were not mere individuals, but authorities in our pedagogics, and that what they prescribe is actually carried out in our schools. In the backwoods we may find teachers, especially women, who spread Evtushévski's and Bunákov's manuals out before them and ask according to their prescription how much one feather and one feather is, and what a hen is covered with. All that would be funny if it were only an invention of the theorist, and not a guide in practical work, a guide that some follow already, and if it did not concern one of the most important affairs of life,--the education of the children. I was amused at it when I read it as theoretical fancies; but when I learned and saw that that was being practised on children, I felt pity for them and ashamed. From a theoretical standpoint, not to mention the fact that they faultily define the aim of education, the pedagogues of this school make this essential error, that they depart from the conditions of all instruction, whether this instruction be on the highest or lowest stage of the science, in a university or in a popular school. The essential conditions of all instruction consist in selecting the homogeneous phenomena from an endless number of heterogeneous phenomena, and in imparting the laws of these phenomena to the students. Thus, in the study of language, the pupils are taught the laws of the word, and in mathematics, the laws of the numbers. The study of language consists in imparting the laws of the decomposition and of the reverse composition of sentences, words, syllables, sounds,--and these laws form the subject of instruction. The instruction of mathematics consists in imparting the laws of the composition and decomposition of the numbers (but I beg to observe,--not in the process of the composition and the decomposition of the numbers, but in imparting the laws of that composition and decomposition). Thus, the first law consists in the ability of regarding a collection of units as a unit of a higher order, precisely what a child does when he says: "2 and 1 = 3." He regards 2 as a kind of unit. On this law are based the consequent laws of numeration, then of addition, and of the whole of mathematics. But arbitrary conversations about the wasp, and so forth, or problems within the limit of 10,--its decomposition in every manner possible,--cannot form a subject of instruction, because, in the first place, they transcend the subject and, in the second place, because they do not treat of its laws.