Katrina, a second grader, believes that 1/4 is a larger quantity than 1/3, and you believe it is probably because 4 is larger than 3 . Of the following, which is the most effective way to help her eliminate this misconception?
a. Explain that the numbers are in the denominator, and when numbers are in denominators, larger numbers represent smaller quantities.
b. Ask her to provide as complete an explanation as possible for why she thinks 1/4 is a larger quantity than 1/3
c. Write 1/3 and 1/4 on the board, and explain that the 1/3 means the quantity is one third of a larger quantity and the 1/4 is one fourth of a larger quantity, so the one fourth must be smaller.
d. Fold a piece of paper into fourths and another identical piece of paper into thirds, and show her that the 1/3 is larger than the 1/4
d
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