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The Fundamental SAT Math Tutoring Techniques
How do you teach students to solve a similar math problem using the knowledge of solving old problems? In my work of teaching in the classrooms and tutoring one-on-one on GRE Math tutoring Math, I often find that when students are just taught solving the same kind of problems, they cannot do the ones, even though the underline algebra are the same.
For instance, in the distance, rate, and time word problems, if you taught the students how to find the value of one variable using another thing with another variable with other known values, and then ask the students to do the same thing but in a different word problem situation using the same values for the unknowns. Although the two problems are exactly the same with the same outcomes, students often find it is full of twists and turns to solve the new problem.
I attempt some repeated excises to build up the students’ skills and explore similar ways to help students. I positively would like to hear from other instructors about how to deal with the problem. Typically, in many subjects, students tend to not remember what they are taught after a few days, not mention to ask them to solve different problems.
When I was researching on the internet, I found a K-12 Math tutoring website Talking about the the above mentioned issue. It puts out the problem adequately and shows the nature of the problem. They refer to some type of deep structure and surface structure. It really explains and clearly relates to my experiences. Here is the site about MCAT Math tutoring.
The article discusses the ways to solve a new different word problem using the knowledge of old problem when the two problems are relating the same mathematical equation. The way to do it, it says, is to “teach students to connect the surface structure (distance of travelling, the speed, and time travelled) with the deep structure (algebra equation)”.
Therefore, the site claims that contrary to decades of cognitive research, critical thinking can actually be taught. It shows how that kind of teaching works. The methods can be applied to Geometry tutoring.
We really have to emphasize the problem. As another place notices it too, please see here: teaching Algebra tutoring. This is because the topic of solving new different problems with existing knowledge is so fundamental that it not only can shape for students, but also it shapes on our future as a society, whether we will have skillful worker forces to push our economy forward with more strength in the global economy and be better off for future generations. It appears now that our children will be not better off than their parents and grandparents because that the U.S. is broke now and our children have to work more time to pay their parents’ and grandparents’ Medicare and pension funds.
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