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Here are four problems. Four children solved one problem each, as given below. Identify the strategies the children have used while solving them.
a) 8 + 6 = 8 + 2 + 4 = 14
b) 4 + 9 = 5, 6, 7, 8, 9, 10, 11, 12, 13
c) 3 + 12 = 12, 13, 14, 15.
d) 7 + 5 = 1 + 1 + ... + 1 (seven times) + 1 + ...+1 (5 times) = 12
Thus, we can say that standard algorithms discourage children from thinking and constructing their own understanding of mathematics. They also reduce mathematics to a mere mechanical activity of observation and manipulation of symbols. This is reinforced by most teachers who give children marks only for the mechanical steps they follow in applying an algorithm.
Consider the following proposal to deskew a skewed bitstream from a TRNG. Consider the bitstream to be a sequence of groups ot n bits for some n > 2. Take the first n bits, and o
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find the ratio of 1:4
By such interactions children learn to articulate reasons and construct arguments. When a child is exposed to several interactions of this kind, she gradually develops the ability
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16 times 4
if x+y+z=pi=180 prove that sin^2x+sin^2y+sin^z-2sinx*siny*sinz=2
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