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.

Paper 1: Analysis Of Achievement For Understanding Geometry, Linda Nash, Annita Hunt, Denise Huddlestun, Kelli Nipper

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference

The purpose of this study was to investigate the effectiveness of a mathematics professional development course. More specifically, in this study we examine whether geometric experiences have an impact on level of performance in mathematics. The van Hiele (Fuys, D., Geddes, D., & Tischler, R., 1988) model of geometric understanding provided a research framework from which to view geometric understanding. This model suggests five levels of understanding that should be taken into consideration when examining levels of geometric thinking: Visual, Descriptive/Analytic, Abstract/Relational, Formal Deduction/Proof, and Rigor.

The sample under study was three cohorts of practicing elementary teachers and mathematics coaches …