Subtraction of mixed numbers is illustrated with Fraction Bars and by using the comparison and take-away concepts. First, using the take-away concept, a word problem is solved in two ways by using regrouping and without using regrouping. Then a written algorithm is shown that corresponds to the take-away concept without regrouping. A second word problem involving mixed numbers is solved, first using the comparison concept of subtraction and then using the take-away concept. The results from a National Assessment that was given to seventh graders and eleventh graders shows that students had difficulty subtracting mixed numbers.
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Tagged under: Subtraction,mixed numbers,comparison,-,word problems,regrouping,algorithm,comparison concept,National Assessment,meaningful,intuitive,sense-making,home ed.,teaching,learning,instructional video,Fraction Bars,Albert B. Bennett,Jr.
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