There are illustrations of division by fractions where the quotient is not a whole number. Two examples involving division of a fraction by a fraction are illustrated with the Fraction Bars, and students can see that the quotients obtained from the model make sense and agree with the quotients obtained from using "invert and multiply". Both of these examples illustrate the "fit into" or Measurement Concept of Division. A second concept called the Sharing Concept of Division is used to illustrate a fraction divided by a whole number. The misconception among students that division always "makes smaller" is discussed and examples are used to show that division sometimes "makes larger". That is, as the divisors becomes smaller and smaller, the quotients get larger and larger.
Visit FractionBars.com for more information.
Tagged under: Division,fractions,quotient, number,illustrate,Fraction Bars, sense,invert multiply,fit ,measurement concept,sharing concept,misconception,divisor,visual,meaningful,intuitive,sense-making,home ed.,teaching,learning,instructional video,Albert B. Bennett,Jr.
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