Outlines of Educational Doctrine
Outlines of Educational Doctrine
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Next it should be pointed out how by finding the differ- ences of squares and cubes respectively, and then adding these dif- MATHEMATICS AND NATURE STUDY 247 ferences, the original numbers may be obtained again. A similar treatment should be accorded to figurate numbers.
Small wooden disks, like checker-pawns, commend themselves for the purpose. By means of them various figures are found. The pupils are asked to indicate how many disks they need to construct one or the other kind of figures. A ...further step will be to show the increase of squares and cubes corresponding to the increase of the root, and to make this information serve as the preparation for the elementary parts of differential calculus. Now the time has come for passing on to the consideration of consecutive values of the roots, which are found to differ by quantities of continuously decreasing smallness as one progresses continuously through the number system. And so, after the logarithms of i, lo, loo, looo, etc., also of ^y j^, etc., have been gone over many times, forward and backward, the conception is finally reached of the interpola- tion of logarithms.
What to read after Outlines of Educational Doctrine?
You can find similar books in the "Read Also" column, or choose other free books by Johann Friedrich Herbart to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Next it should be pointed out how by finding the differ- ences of squares and cubes respectively, and then adding these dif- MATHEMATICS AND NATURE STUDY 247 ferences, the original numbers may be obtained again. A similar treatment should be accorded to figurate numbers.
Small wooden disks, like checker-pawns, commend themselves for the purpose. By means of them various figures are found. The pupils are asked to indicate how many disks they need to construct one or the other kind of figures. A ...further step will be to show the increase of squares and cubes corresponding to the increase of the root, and to make this information serve as the preparation for the elementary parts of differential calculus. Now the time has come for passing on to the consideration of consecutive values of the roots, which are found to differ by quantities of continuously decreasing smallness as one progresses continuously through the number system. And so, after the logarithms of i, lo, loo, looo, etc., also of ^y j^, etc., have been gone over many times, forward and backward, the conception is finally reached of the interpola- tion of logarithms.
What to read after Outlines of Educational Doctrine?
You can find similar books in the "Read Also" column, or choose other free books by Johann Friedrich Herbart to read onlineMoreLess
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