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A Textbook on the Teaching of Arithmetic

A Textbook on the Teaching of Arithmetic


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About the Book

Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. Excerpt from book: Section 3CHAPTER III PRELIMINARY STEPS IN ARITHMETIC NUMBER Fundamental aspect of number. Fundamentally speaking, number is independent of symbolism. The symbol 2 merely represents the number two. We get the conditions for the idea of number through the various senses, sight, touch, hearing, smell, and taste. It comes to us, however, most frequently through the first of these. We may see a collection of objects or may hear successive taps of a bell. But in mere seeing or hearing we do not think number. Number has its origin in the counting process. It is a product of the mind and answers the question how many, '1 not how much. We determine the how many in a series by counting the units that make up the series. Number is necessarily abstract. Children like to count. It is a mistake, however, to conclude that because children count they understand number. The running through of a series of names, one, two, three, etc., may be different from counting a series of objects. Young children in attempting to count a series of objects are apt to run the series of names ahead of the things that their teachers think they are counting. Number in measurement. Number may arise out of measurement. Thus we find how many times a unit is contained in a larger measurable quantity of the same kind, 29 This is generally illustrated by means of lines. The idea of ratio arises from a comparison of a unit with a collection of like units. The measuring and the ratio aspects of number are to be emphasized in teaching, but the serial aspect of number forms the basis for the art of calculating. Cardinal and ordinal numbers. The cardinal numbers are merely the numbers used in the above description; that is, they define the how many in a group, and are written I, 2, 3, 4, etc. If we wish to point out the po...


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Product Details
  • ISBN-13: 9781443299206
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Language: English
  • ISBN-10: 1443299200
  • Publisher Date: 07 Jul 2009
  • Binding: Digital (delivered electronically)

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