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Upcoming Colloquium

Implementing the Analytical Geometry Approach to Linear Trigonometric Inequality Problems
Dr. Abdullah Kurudirek, Al-Naji University, Iraq

September 11, 2026
12:00pm-1:00pm via Zoom

Meeting ID: 885 2240 9302

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Abstract

Linear trigonometric equations are extensively utilized in conventional high school mathematics courses. Nevertheless, educational programs frequently ignore trigonometric inequalities, treating them superficially with basic examples, omitting them, or excluding them from textbooks. Due to this coverage gap, students may miss opportunities to explore a broader range of mathematical concepts. This paper attempts to bridge that gap by introducing a method in analytical geometry for solving linear trigonometric inequalities. Analytical geometry involves examining the characteristics of geometric figures using algebraic and geometric techniques and employing this methodology in trigonometry helps students in comprehending and solving trigonometric inequalities more naturally and visibly. This method is accessible to both students and educators, enabling them to interact with trigonometric inequalities in a comprehensible and stimulating manner.

Biosketch

Abdullah Kurudirek, PhD, is a researcher in the field of mathematics education at the College of Education, Al-Naji University, Iraq. He has had the privilege of teaching mathematics at both high school and university levels in Uzbekistan, Russia, Senegal, the Kurdistan Region of Iraq, and Iraq since 1996.

He earned his BSc in Mathematics Education from Marmara University in Istanbul (1991–1996), followed by an MSc in Functional Analysis (2010–2012) and a PhD in Mathematics Education in Uzbekistan (2019–2022). He is currently pursuing a Doctor of Science (DSc) degree in Uzbekistan.

His research interests primarily focus on the teaching and learning of non-Euclidean geometries—including Galilean, Taxicab, and Lobachevsky geometry—with particular emphasis on making these concepts accessible and meaningful to students. His broader research interests include innovative approaches to mathematics teaching and learning, mathematical reasoning, visualization, and mathematics education.