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I dont know for sure. But I think a part of the problem comes from notation. I dont know how youve approached math education, but I find that students are often times confused by the distinction and overlap between the concept of division and the concept of fractions. I think the cause of this confusion is found in the notation we use and the order in ...


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Another way to represent addition and subtraction of two fractions is by subdividing rectangles both horizontally and vertically. Say you want to show how to add $\frac{1}{3}$ and $\frac{2}{5}$. Draw three equal sized rectangles. Subdivide the first in threes with horizontal lines. Subdivide the second rectangle in fifths with vertical lines. The students ...


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