ng are given as further examples of deductive processes.
The materials are here arranged in the formal or logical way. The
student-teacher should rearrange them as they would occur in the child's
learning process.
I. DIVISION OF DECIMALS
1. _Principles_:
(_a_) Multiplying the dividend and divisor by the same number does not
alter the quotient.
(_b_) To multiply a decimal by 10, 100, 1000, etc., move the decimal
point 1, 2, 3, etc., places respectively to the right.
2. _Data_:
Present knowledge of facts contained in such an example as .0027 divided
by .05.
3. _Inferences_:
(_a_) The divisor (.05) may be converted into a whole number by
multiplying it by 100.
(_b_) If the divisor is multiplied by 100, the dividend must also be
multiplied by 100 if the quotient is to be unchanged.
(_c_) The problem thus becomes .27 divided by 5, for which the answer is
.054.
4. _Verification_:
Check the work to see that no mistakes have been made in the
calculation. Multiply the quotient by the divisor to see if the result
is equal to the dividend.
II. TRADE-WINDS
1. _Principles_:
(_a_) Heated air expands, becomes lighter, and is pushed upward by
cooler and heavier currents of air.
(_b_) Air currents travelling towards a region of more rapid motion have
a tendency to "lag behind," and so appear to travel in a direction
opposite to that of the earth's rotation.
2. _Data_:
(_a_) The most heated portion of the earth is the tropical region.
(_b_) The rapidity of the earth's motion is greatest at the equator and
least at the poles.
(_c_) The earth rotates on its axis from west to east.
3. _Inferences_:
(_a_) The heated air in equatorial regions will be constantly rising.
(_b_) It will be pushed upward by colder and heavier currents of air
from the north and south.
(_c_) If the earth did not rotate, there would be constant winds towards
the south, north of the equator; and towards the north, south of the
equator.
(_d_) These currents of air are travelling from a region of less motion
to a region of greater motion, and have a tendency to lag behind the
earth's motion as they approach the equator.
(_e_) Hence they will seem to blow in a direction contrary to the
earth's rotation, namely, towards the west.
(_f_) These two movements, towards the equator and towards the west,
combine to give the currents of air a direction towards the south-west
north of the equator, and towards
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