Representations of Fractions: Promoting Students’ Mathematical Understanding

Representations of mathematical ideas serve as a foundation for understanding mathematical concepts. Using and translating among a variety of representations promotes deep conceptual understanding and connections between mathematics topics, in addition to providing contexts for more advanced mathematics concepts. The importance placed on mathematical representations led to an examination of sixth grade middle school mathematics textbooks’ representation of fraction concepts. The chapters included in this thesis represent a portion of the work completed during the examination and an example of how representations of fractions can impact topics in secondary mathematics.