A Visualization App on Proving Geometric Concepts

Ma. Louise Antonette N. De las Penas, Ateneo de Manila University
Debbie Marie B. Verzosa, University of Southern Mindanao
Maria Alva Q. Aberin, Ateneo de Manila University
Agnes D. Garciano, Ateneo de Manila University
Jumela F. Sarmiento, Ateneo de Manila University
Mark Anthony C. Tolentino, Ateneo de Manila University
Juan Carlo F. Mallari, Ateneo de Manila University

Abstract

This paper discusses the description, design and pedagogical basis of a mathematical app called Two Column Proof , which provides students a framework for writing proofs of geometric statements. The app focuses on proving concepts on: properties of parallelograms, properties on trapezoids and kites for high school mathematics. It employs visual representations for students to understand the statement or reason of each given line in the proof, strengthening their logical and mathematical knowledge needed in the proof construction.