PLAN OF THE WORK. The leading feature of the plan is to teach the reading of figures; that is, so to train the mind that it shall, by the aid of the eye alone, catch instantly the idea which any combination of figures is intended to express. The method heretofore pursued has aimed only at presenting the combinations by means of our common language: this method proposes to present them purely through the arithmetical symbols, so that the pupil shall not be obliged to pause at every step and translate his conceptions into common language, and then re-translate them into the language of arithmetic. For example, when he sees two numbers, as 4 and 8, to be added, he shall not pause and say, 4 and 8 are 12, but shall be so trained as to repeat 12 at once, as is always done by an experienced accountant. So, if the difference of these numbers is to be found, he shall at once say 4, and not 4 from 8 leaves 4. If he desires their product, he will say 32; if their quotient, 2: and the same in all similar cases. This is all to be done by the simple process of reading; and the method consists, 1st. In teaching the alphabet, and 2dly. In teaching the combinations of the alphabet, which become the exponents or signs of ideas. After this is done, the pupils of a class should be taught to read together, all the combinations, in the same manner as they practise reading lessons stands for four? Which figure stands for nine? Which stands for eight? What stands for ten? What stands for twelve? What stands for four teen? What stands for sixteen? What stands for eighteen? What stands for twenty? What stands for seventeen? What stands for fifteen? What stands for nineteen? What stands for eleven? 34 Sixty-eight 68 1 Thirty-five 35 Sixty-nine 69 2 Thirty-six 36 Seventy 70 Seventy-one 71 40 Seventy-four 74 7 Forty-one 41 Seventy-five 75 8 Forty-two 42 Seventy-six 76 9 Forty-three. 43 Seventy-seven 77 10 Forty-four 44 Seventy-eight 78 11 Forty-five 45 Seventy-nine 79 12 Forty-six 46 Eighty 80 13 Forty-seven 47 Eighty-one 81 14 Forty-eight 48 Eighty-two 82 15 Forty-nine 49 Eighty-three 83 16 Fifty 50 Eighty-four 84 Seventeen 17 Fifty-one 18 Fifty-two 52 Eighty-six Eighteen 86 Nineteen 19 Fifty-three. 53 Eighty-seven 87 Twenty. 20 Fifty-four Twenty-three 23 Fifty-seven. 57 Ninety-one 91 Sixty-three. 63 Ninety-seven 97 30 Sixty-four Thirty-one. 31 Sixty-five 65 Ninety-nine Thirty-two. 32 Sixty-six What stands for twenty-one? What stands for twenty-five? What stands for thirty? What stands for thirty-seven? What stands for sixty-one? What stands for seventy-five? What stands for eightysix? What stands for ninety-one? What stands. for sixty-nine? What stands for twenty-eight? What stands for forty-one? What stands for fiftysix? Write the following numbers, in figures, on the slate: Twenty-one. Twenty-six. Twenty-nine. Thirty-five. Sixty-seven. Ninety-eight. Six. Eightyone. Eighty-seven. Eighty-nine. Forty-six. Fifty-seven. Fifty-nine. Sixty-four. One hundred. Seventy-five. Seventy. Sixty. Fifty. Ten. Twelve. Fourteen. Nineteen. Twenty. Twenty-six, Ninety one. |