Thus, for example, Lichonin did not want, under any conditions, to become reconciled, in teaching her arithmetic, to her queer, barbarous, savage, or, more correctly, childish, primitive method of counting.  She counted exclusively in ones, twos, threes and fives.  Thus, for example, twelve to her was two times two threes; nineteen—­three fives and two twos; and, it must be said, that through her system she with the rapidity of a counting board operated almost up to a hundred.  To go further she dared not; and besides she had no practical need of this.  In vain did Lichonin try to transfer her to a digital system.  Nothing came of this, save that he flew into a rage, yelled at Liubka; while she would look at him in silence, with astonished, widely open and guilty eyes, the lashes of which stuck into long black arrows from tears.  Also, through a capricious turn of her mind, she began to master addition and multiplication with comparative ease, but subtraction and division were for her an impenetrable wall.  But then, she could, with amazing speed and wit, solve all possible jocose oral head-breaking riddles, and even remembered very many of them herself from the thousand year old usage of the village.  Toward geography she was perfectly dull.  True, she could orientate herself as to the four cardinal points on the street, in the garden, and in the room; hundreds of times better than Lichonin—­ the ancient peasant instinct in her asserted itself—­but she stubbornly denied the sphericity of the earth and did not recognize the horizon; and when she was told that the terrestrial globe moves in space, she only snorted from laughter.  Geographical maps to her were always an incomprehensible daubing in several colours; but separate figures she memorized exactly and quickly.  “Where’s Italy?” Lichonin would ask her.  “Here it is, a boot,” Liubka would say and triumphantly jabbed the Apennine Peninsula.  “Sweden and Norway?” “This dog, which is jumping off a roof.”  “The Baltic Sea?” “A widow standing on her knees.”  “The Black Sea?” “A shoe.”  “Spain?” “A fatty in a cap” ... &c.  With history matters went no better; Lichonin did not take into consideration the fact that she, with her childlike soul thirsting for fiction, would have easily become familiarized with historic events through various funny and heroically touching anecdotes; but he, accustomed to pulling through examinations and tutoring high-school boys of the fourth or fifth grade, starved her on names and dates.  Besides that, he was very impatient, unrestrained, irascible; grew fatigued soon, and a secret—­usually concealed but constantly growing—­hatred for the girl who had so suddenly and incongruously warped all his life, more and more frequently and unjustly broke forth during the time of these lessons.