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Diagnose a Fraction-Size Misconception
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ParaPro
PPM.140 Diagnose a Fraction-Size Misconception
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A student says 4/6 is greater than 5/8 because sixths are larger than eighths. Which feedback best addresses the misconception and preserves useful reasoning?
A
The fractions are impossible to compare without measuring the drawing.
B
The denominator 8 is greater, so 5/8 must be greater without reasoning.
C
The student is fully correct because a larger piece size always decides the whole fraction, in this situation, under the stated conditions.
D
Sixths are larger pieces, but 5 eighths may cover more of the whole; compare 16/24 and 15/24.
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