The last time that I sat in a mathematics classroom, I remember imagining how I would teach the lesson if it were my classroom. All through school, I would analyze how teachers would deliver their lessons and think of ways I could improve their delivery. When I felt that a lesson lacked in engagement, I first considered the content of the lesson, but usually tended to focus on the teacher’s method of delivery. At first, I thought that the teacher’s role was simply to bestow knowledge on his/her students. Over the years, I came to realize how stagnant that description of teaching really was. Instead, I began to see teaching as an increasingly dynamic role in education. The teachers that were more engaging were normally more entertaining. Their lessons did not consist solely of lecturing to their students. They delivered lessons in multiple ways, even offering different ways of explaining the same concept. They shared their excitement for the material and challenged their students to do their best.
Much of what I observed as a student is evident in my own philosophy of teaching. In mathematics, there is more to address than simply showing students how to solve problems. Mathematics is not only a subject that is fundamentally sound in logic, but it provides a catalyst for exploring and appreciating the nature of other subjects. Consequently, the beauty of learning mathematics is in seeing how profoundly it describes the world we experience. Likewise, learning mathematics allows students to reflect on the complex processes of their thought as a series of interrelated logical steps. Thus, teaching mathematics requires more than providing students with the opportunity to apply concepts to real world situations, it requires the teacher to inspire students to see mathematics in every aspect of the world and better understand the mathematical reasoning of their own thought.