Origami paper cup From paper folding to data analysis and algebraic explorations

Abstract

We present the case of an origami paper cup and its extensions to data collection, analysis, and dimensional reasoning in K--12 teacher education, featuring the integration of GeoGebra.  The paper cup case has been implemented numerous times in our K--12 mathematics methods classes, targeting a variety of issues of mathematics teaching and learning---multiple representations, mathematical discourse, intuitive perceptions, rational reasoning, data analysis, as well as hands-on engagement and ownership.  To implement the instructional tasks, we need an adequate supply of commercial or self-made origami paper, copy paper of various sizes, and a few pounds of pinto beans or similar beans that are safe for classroom use as well as access to GeoGebra.