A Visualization App on Proving Geometric Concepts

• Main Authors: De Las Peñas, Ma. Louise Antonette N, Verzosa, Debbie Marie B., Aberin, Maria Alva Q., Garciano, Agnes D., Sarmiento, Jumela F., Tolentino, Mark Anthony C., Mallari, Juan Carlo F.
• Format: text
• Published: Archīum Ateneo 2023
• Subjects: Mathematical app; mathematical proofs; STEM; two column proof; Educational Technology; Mathematics; Physical Sciences and Mathematics; Science and Mathematics Education
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/233; https://archium.ateneo.edu/context/mathematics-faculty-pubs/article/1234/viewcontent/2023_A_Visualization_App_on_Proving_Geometric_Concepts.pdf
• Institution: Ateneo De Manila University

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, conditions that determine when a quadrilateral is a parallelogram, 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.