2014-15 7-12 Classroom Research Grants Recipient

Conceptualizing Calculus with Mathematica Widgets
Beth Bos collaborating with  Ryan Gertenbach, Wimberley High School, Wimberley, Texas

The purpose of this grant is to support and encourage the study of calculus concepts using Wolfram Mathematica Widgets made by students to reinforce the conceptual foundations of calculus. Widgets created with Wolfram Mathematical allow interactive mathematics 1) by exploring abstract concepts in an interactive visual way and b) by developing complex thought when a new specific widget is generated from an abstraction toward some visual demonstration, which could be created easily by linking reality with mathematical concepts (Delgado, F., 2013). The study of using widgets to conceptualize advanced mathematics topics shows promise, but little has been done to transition research to a secondary level and to do research beyond the use of teacher-made widgets. Through the creative process the aim is to generate more interest in calculus and produce a deeper understanding of fundamentals of calculus while helping students transition to STEM professions.