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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.
Explain Different Base Numbers? In multiplying or dividing two exponential expressions with different base numbers, write out the exponential expressions as products. Since
Properties of Dot Product - proof Proof of: If v → • v → = 0 then v → = 0 → This is a pretty simple proof. Let us start with v → = (v1 , v2 ,.... , vn) a
Generate G(1000,1/2) and find the largest clique you can. A clique is a complete sub graph, that is, a set of vertices each pair of which is connected by an edge.
INSTRUCTIONS: Construct a regular proof to derive the conclusion of the following argument: 1. H v (~T > R) 2. Hv (E > F) 3. ~T v E 4. ~H & D / R v F INSTRUCTIONS: Con
The revenue and cost functions for producing and selling quantity x for a certain production facility are given below. R(x) = 16x - x 2 C(x) = 20 + 4x a) Determine the p
Extreme Value Theorem : Assume that f ( x ) is continuous on the interval [a,b] then there are two numbers a ≤ c, d ≤ b so that f (c ) is an absolute maximum for the function and
One of the well-known class of models that involve a simple difference equation are models of mean reversion. These models typically take the form yt+1 - yt = -a(yt - μ)where 0
2/6
Catalans Conjecture
In the shape of a cone a tank of water is leaking water at a constant rate of 2 ft 3 /hour . The base radius of the tank is equal to 5 ft and the height of the tank is 14 ft.
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