Education Commons^™

Applying Quantitative Reasoning To Clarify Arc Measurements, David Glassmeyer, Daniel Barton

Georgia Educational Researcher

The importance of reasoning quantitatively is reflected in both mathematics education research and mathematical standards for K-12 students. In this article, we detail how a quantitative reasoning framework can be used to help differentiate two quantities we have found students often struggle with: arc length and the measure of a central angle. We argue that taking the time to define all four components of a quantity can support students’ understanding of theorems involving these quantities.