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The Algebraic Nature of Fractions: Developing Relational Thinking ...

The Algebraic Nature of Fractions: Developing Relational Thinking ...

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<strong>Relational</strong> <strong>Thinking</strong> and <strong>Fractions</strong> 36<br />

Figure 2. Holly’s written work for figuring four groups <strong>of</strong> half each, suggesting a<br />

non-relational understanding <strong>of</strong> fractions 6<br />

6 <strong>The</strong> 4 over what looks like 12 is Holly’s way <strong>of</strong> writing 4 halves. She appears to be<br />

trying to remember syntactic features <strong>of</strong> the numeral and confounding “12” with “1/2”.

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