Exploring Euclidean and Taxicab Geometry with GeoGebra

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Erhan Selcuk Haciomeroglu
Janet B Andreasen


Technology has changed the nature of mathematics learning and instructional practices (Andreasen and Haciomeroglu, 2013; Edwards, 2015; Haciomeroglu, Bu, Schoen, and Hohenwarter, 2011). Dynamic and interactive technology enriches students' learning opportunities and shifts the focus of instruction to understanding and student-centered learning by providing a means of modeling mathematical relationships (Bu and Henson, 2016; Haciomeroglu, Bu, Schoen, and Hohenwarter, 2011). The authors connect Euclidean and non-Euclidean geometries through an exploration of rich tasks of Taxicab geometry, sharing methods for organizing and presenting tasks to enhance students' understanding of geometry concepts.

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Author Biographies

Erhan Selcuk Haciomeroglu, University of Central Florida

Erhan Selcuk Haciomeroglu is an associate professor of mathematics education at the University of Central Florida, where he teaches graduate and undergraduate courses. His research interests include the role of visualization and representations in teaching and learning calculus and prospective teachers' integration of technology into mathematics teaching.

Janet B Andreasen, University of Central Florida

Janet B. Andreasen, PhD, is an associate lecturer of mathematics education at the University of Central Florida (UCF). She is the coordinator of secondary education and works with prospective and practicing mathematics teachers at the elementary, middle, and high school levels. Dr. Andreasen's research interests include examining mathematical knowledge for teaching and using technology to foster student learning of mathematical concepts. Prior to joining the faculty at UCF, Dr. Andreasen was a high school mathematics teacher.