I'm a person who has always had some interest in a variety of subjects, but excelled in particular in mathematics and the sciences from a very early age. I have studied mathematics up through linear algebra and the sciences through thermodynamics and quantum mechanics, yet I still remember tutoring sessions that I conducted on math while I was still in high school, phone calls in which I helped my younger siblings on math homework while I was in college, and even a phone call some years after I finished college in which I helped a student at my Alma mater to understand certain concepts in a math course that I had taken a few years earlier.
I believe that a key to solving most math and science problems is being able to appropriately visualize the problem. Once a student can see in his or her mind what the set up of a problem is to look like, he or she can then diagram that set up on paper. After this, the understanding of the concepts behind the problem will take over and allow for the right solution to be determined.
My approach is to teach this visualization process, which should then enable the students to accurately diagram the problem. This ability to accurately set up a problem is essential since mistakes made early on will tend to make for difficulty later on. After the set up process is complete, I then work with the students to fill remaining gaps in understanding of the concepts. I create example problems to work through with students initially, and then provide them with other problems to try on their own. I believe that this process of setting a problem up correctly from the start and then consistent practice will help a student to master difficult concepts.
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