Bearing in mind that a thorough knowledge of arithmetic is perhaps more frequently the cause of success in life than is any other single factor, one can hardly overestimate the importance of this subject to the future welfare of the child, nor can one fail to realize how great is the responsibility which rests on those whose duty it is to provide for his education in this branch.
No book or series of books can possibly illustrate every use to which numbers can be put, but if the principles underlying their use are properly taught, the child can reason for himself the proper application of his knowledge to any given problem. Furthermore, as he must know not merely how to solve a problem, but how to solve it in the quickest and simplest manner, he must know not merely the various processes, but their construction as well; he must be able to analyze to such an extent that when a problem is presented to him, he can distinguish the facts which are relevant from those which are irrelevant,
Table of Contents
PART VII; lesson; number page; Denominate Numbers; 1 Reduction 1; 2 Reduction of Fractional Denominate Numbers 4; 3 Addition of Denominate Numbers 6; 4 Subtraction of Denominate Numbers 11; 5 Multiplication of Denominate Numbers 12; 6 Division of Denominate Numbers 14; 7 Measuring Land 20; 8 Paper Measure 24; 9 Printers' Type Measure 27; 10 Legal Weights of a Bushel (In Pounds) 33; 11 Special Working Units 41; Fractions; 12 Compound and Complex Fractions 46; Multiplication; 13 Cross Multiplication 50; Time and Wages; 14 How Wages Are Figured 54; 15 Transposition in Figuring Wages 59; Mensuration; 16 The Circle 65; 17 The Ratio of the Circumference to the Diameter 67; 18 Finding the Area of a Circle 70; 19 Finding the Area of the Surface of a Right (Rect-; angular) Prism 75; 20 Finding the Area of the Surface of a Cylinder 77; 21 Cutting Material to Avoid Waste 81; 22 Finding the Volume of a Cylinder 84
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