Everyone can find the solutions!
I have taught High School Math, Physics and Computer Science. I have also been a Boy Scout Leader for 7 years
I took many challenging courses in college, and a multitude of strategies to tackle problems. I use this experience to give each student a chance to find the path to solve the problem makes sense to them. In my experience, once one path is learned, other paths can be taught to make sense when a teacher requires a specific method to be used.
I will typically go through a description of what a given problem is looking for, and then let the student tell me what tools they have to get to the solution. I remind them of a tool if need be, and guide them through to the solution. Then I let them try on their own, asking me when they are confused or need additional help. This way, I am able to find out how they think, and recommend different approaches that may work better for them!
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