## The Teaching of Arithmetic: A Manual for Teachers, a Textbook for Teacher-training Schools |

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ability accuracy activities adding addition amount answer application arithmetic attempt bank called cent child combinations common Company computation contains correct cost counting course decimal decimal fractions denominator determine developed difficulty discount divide division drill Education Elementary emphasis equal errors example experiences expressed fact factors figures four fractions frequently fundamental gain give given grades graph habits important indicated interest involved Journal learned less materials mathematics means measure method multiply necessary objects operations percentage possible practice problems processes pupils reasoning relation result scales selling short simple situations solution solve square square root standard subtraction SUGGESTED tables tasks taught teacher teaching tests textbooks units usually various weight write written

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Page 376 - When a man's knowledge is not in order, the more of it he has the greater will be his confusion of thought.

Page 246 - When the length of the primary unit of this system was determined it was supposed to be one ten-millionth of the distance from the equator to the pole.

Page 151 - The first fact which asserts itself in observing objective teaching is the artificiality of the materials employed. Primary children count, add, etc., with things they will never be concerned with in life. Lentils, sticks, tablets and the like are the stock objective stuff of the schools, and to a considerable degree this will always be the case. Cheap and convenient material suitable for individual manipulation on the top of a school desk is not plentiful. But instances where better and more normal...

Page 187 - To multiply by 10, move the decimal point one place to the right, annexing a zero if necessary.

Page 214 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.

Page 95 - ... from freezing to boiling. The presence of impurities increases these values somewhat. Thus ocean water may ordinarily be taken as weighing 64.0 Ib. per cu. ft. In the computations in this book it will be sufficient to take w = 62.4 Ib. per cu. ft. 6. Accuracy of Computations. — No computed result can be more accurate than the data upon which it is based and it is therefore not only useless but also misleading to carry out results to more significant figures than the data warrant. It should...

Page 193 - To divide by 10, move the decimal point one place to the left. To divide by 100, move the decimal. point two places to the left, and so on for other powers of 10.

Page 339 - The area of a rectangle is found by multiplying the number of units in the length by the number of like units in the width.

Page 228 - Divide as in whole numbers, and mark off in the quotient a number of decimal places equal to the excess of the number of decimal places in the dividend over the number of decimal places in the divisor ; if there are not figures sufficient, prefix cyphers as in Multiplication.

Page 336 - An Equilateral Triangle has all its sides equal. An Isosceles Triangle has two of its sides equal A Scalene Triangle has all its sides unequal.