Connecting to Develop Computational Fluency with Fractions

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Nancy K. Mack Teaches mathematics education courses at Grand Valley State Universityin Allendale, Michigan.

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“In fractions, we have one hundred different kinds of rules for solving one hundred different kinds of problems,” declared 11- year-old Benny after solving a variety of problems involving fractions (Erlwanger 1973, p. 10). Do your students share Benny's frustration when they add and subtract fractions? Do they think one procedure is required for solving a problem such as 3/8 + 2/8 and a different procedure is required for a problem such as 1/2 + 1/3? Do they view these procedures as being unrelated to each other? Many of my students have held these views. Consequently, they struggled to become computationally fluent with fractions.

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Nancy Mack is interested in the teaching and learning of fractions.

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Teaching Children Mathematics
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