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Science and Mathematics Education

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University of Texas at El Paso

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Fractions

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Investigating Math Students' Ability To Conceptualize Fractions As Two Numerals Having A Single Value, William Carroll Fanning Jan 2016

Investigating Math Students' Ability To Conceptualize Fractions As Two Numerals Having A Single Value, William Carroll Fanning

Open Access Theses & Dissertations

It is no secret that math students of all ages have misconceptions about fractions. Multiple studies have shown that math students invariably see fractions as two separate and unrelated numbers, the numerator and the denominator, rather than a single number with specific value. This study is designed to investigate studentsâ?? interpretations of a fraction in terms of having a single value in relation to its two numbers, the numerator and the denominator.

For the purpose of this study, the investigator developed and pilot-tested seven items that have the potential to uncover whether students attend to the value of a fraction …