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...A firm foundation must be built for an understanding of the derivative: what is the difference quotient and average rate of change, and how do we use these to derive the instantaneous rate of change? Then, how can we apply the concept of the instantaneous rate of change to a myriad of problems? This is the question of Calculus I.

...I enjoy teaching it because it is the beginning of the bridge from algebra and geometry to calculus, combining elements of all topics. It is very important to understand the concepts early in the course--you do not want to fall behind. I believe trig should be taught as it was years ago, with an emphasis on rigor and the concepts, and not RELYING on the calculator.

...In addition, I have taught the classes prior to geometry, including pre-algebra and algebra and so I am aware of the skills from those classes that are needed in geometry. I have taught pre-algebra and algebra so I understand the skills necessary to prepare for algebra and the classes that follo...

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