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I've met people who say they did very well in algebra but were terrible at geometry in high school and some people who say they did very well in geometry but were terrible at algebra in high school.
I'm curious if people who do well in geometry are right-brained thinkers while people who do well in algebra are left-brained thinkers? Why is there a difference in ability, when algebra and geometry are just branches of the same subject, mathematics?
In short, algebra and geometry are different type of cognitive abilities. Geometry is more spatial and algebra more verbal-logic.
Kestenbaum, C., Williams, T. D., Handbook of Clinical Assessment of Children and Adolescents, NYU Press, 1988.
I'm one of those people who was good at Geometry, but bad at Algebra. Eventually I caught up and was good at both. The question why did bother me for a long time, and it's good to see that I'm not alone.
It seems to me that middle and high school algebra is mostly about memorization. Typical questions have only one solution. You have to remember how to expand polynominals, and if you are faced with an equation and don't a specific rule, you are going to fail:
What is the remainder when f(x) = (x - 2)54 is divided by x - 1?
In terms of Geometry, not only is it more visual, but there are multiple ways to arrive at a solution. Multiple rules can be applied in different order to arrive at a solution. It can take longer, be less effective, but a solution can be found.
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