The product of a fraction times a fraction is illustrated with Fraction Bars in such a way that multiplication of fractions makes sense. Examples obtained from such illustrations can be listed so students can discover the rule of multiplying numerator by numerator and denominator by denominator. In these illustrations, the multiplication sign is replaced by the word "of" to remind students that when multiplying one fraction by another, the first fraction indicates taking a fractional part of something. The Tower of Bars mat from the Fraction Bars materials leads to some interesting patterns involving sums of fractions. The common misconception that "multiplication always makes bigger" is discussed, and a counter example is given.
Visit FractionBars.com for more information.
Tagged under: Product,fraction,multiplication, sense,discover rules,numerator,denominator,multiplication sign,Tower Bars,patterns,misconception,counter ,meaningful,intuitive,sense-making,home ed.,teaching,learning,instructional video,Albert B. Bennett,Jr.
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