My method of teaching depends a lot on which topic is being taught. With topics like Algebra 1 and 2, I feel these are best taught with lots of examples followed up with a couple practice problems for the student to try. With topics such as Geometry, it is important for the students to memorize all the theorems and postulates so that they can do proofs. I tend to start out with easy level proofs and ask students to fill in the reasons for each step. Then I ask the students to start coming up with the steps and reasons themselves. It is very important for students to draw sketches and label diagrams when doing proofs. With Calculus, students need to memorize derivative rules and use derivatives to solve word problems. Like with Geometry, knowing theorems and drawing pictures are very important to solving problems. I still use examples, however, we focus more on the general technique used and why each step is used so that when they encounter a unique problem, they are better able to approach it.
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