Why Do We Study Mathematics a Philosophical And Historical Retrospect
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But, in undifferentiated curricula and school-systems such as ours, we should always bear this in mind, in our discussions and striv- ings for solutions. What part and amount of our work should be devoted to cultivating mathematics as a science in itself, as an independent body of natural knowledge having its own ends and methods ; what part, to it as a purely logical and cul- tural discipline; what part, to it as a science auxiliary to physics, mechanics, surveying, and engineering, or as a bo...dy of pure useful knowledge.
These points of view should be considered as ends ; but they may also be considered in the role of their efficiency as at- tractions or stimuli to the study of mathematics, and a pro- portionately preponderant share accorded to each of them ac- cording to this aspect. And here the practical motives appear to be predominant, especially in the applications and the se- 16 lection of problems. For it is as essential in pedagogics as in dietetics, that we should ''first catch our hare before we cook it, " or, as a writer whom I have before quoted, has phrased it, with some slight approximation to profanity, '' that what we want our boys and girls to believ e is that mathematics is indispensable in their daily life and not something they will have to do in hell.
What to read after Why Do We Study Mathematics a Philosophical And Historical Retrospect?
You can find similar books in the "Read Also" column, or choose other free books by Thomas J Thomas Joseph Mccormack to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
But, in undifferentiated curricula and school-systems such as ours, we should always bear this in mind, in our discussions and striv- ings for solutions. What part and amount of our work should be devoted to cultivating mathematics as a science in itself, as an independent body of natural knowledge having its own ends and methods ; what part, to it as a purely logical and cul- tural discipline; what part, to it as a science auxiliary to physics, mechanics, surveying, and engineering, or as a bo...dy of pure useful knowledge.
These points of view should be considered as ends ; but they may also be considered in the role of their efficiency as at- tractions or stimuli to the study of mathematics, and a pro- portionately preponderant share accorded to each of them ac- cording to this aspect. And here the practical motives appear to be predominant, especially in the applications and the se- 16 lection of problems. For it is as essential in pedagogics as in dietetics, that we should ''first catch our hare before we cook it, " or, as a writer whom I have before quoted, has phrased it, with some slight approximation to profanity, '' that what we want our boys and girls to believ e is that mathematics is indispensable in their daily life and not something they will have to do in hell.
What to read after Why Do We Study Mathematics a Philosophical And Historical Retrospect?
You can find similar books in the "Read Also" column, or choose other free books by Thomas J Thomas Joseph Mccormack to read onlineMoreLess
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