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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.
For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equ
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