...I enjoy the algebraic aspects of manipulating expressions with trigonometric functions. I love proving identities; ever since I took my first lessons in trigonometry in high school, I can't get enough of these types of problems. Since I took Calculus, Differential Equations, Complex Variables and Abstract Algebra later on, my fondness for trigonometry has not dwindled, but grown. (read more)
...This makes the class get harder as the year goes on since topics typically stack on one another. My sessions typically start with overviews of what was recently learned, an opportunity for the student to ask questions, some sample questions that stretch the desired brain muscles, and some additi... (read more)