MATH
I took calculus my sophomore year of high school. Our school did not have AP calculus, so I had to take college single variable again (basically review of high school calculus) first semester of my junior year. Second semester I took differential equations and linear algebra 1. Senior year of high school I took multivariable calculus and differential equations and linear algebra 2. At college, I got credit for multi and single variable calculus as well as linear algebra, but not for differential equations, so I took differential equations a third time. Second semester last year I took analysis. First semester this year I took probability and statistics. Now, for the first time, after seven college math classes, I am not in math.
But...
I can barely add. I fear multiplying things in my head. I feel so slow all the time that 2+2 often doesn't equal 4 but rather some enigmatic, vaporous concept hovering beyond my grasp. I wish I could tell kids that no matter how much math they take, they will always make the most mistakes on adding and multiplying and subtracting and dividing. Integrate with a trig function? Sure. Solve a partial differential equation? On a good day. But add? No way.
BIOLOGY
I took two years of biology in high school and did AP bio out of school on my own. In college I have taken biology, neuroscience, and systems neuroscience. Still, if you asked me the equation of photosynthesis, I would look at you blankly. I can tell you the details of your visual pathway, but ask me exactly what a peroxisome does and I probably can't remember, even though I drew pictures of the things in seventh grade.
CHEMISTRY
I took two years of chemistry in high school. In college I took solid state chemistry, organic chemistry, and I'm now in biochemistry. Yet I still have trouble grasping titration curves and molar calculations. I can tell you the catalytic triad in enzymes but I can't tell you what exactly is in a atomic mass versus an atomic number, or how to calculate atomic weight.
I won't go into physics because that is something relatively new to me. The actual study of it anyway.
My point is, though, that even though I am at one of if not the most prestigious and accomplished math and science schools in the country and the world, I have no idea how to add, I can't remember what exactly is in a cell, and I can't calculate molality. It's like I keep trying to shove complicated information in my brain, but out the other end the simple stuff keeps dripping.
I think our education system needs to pound in the fundamentals even more. The greatest mistake we college students make is losing a negative or adding something wrong in a 20 step problem. There's something a little crazy about it, like we're still in elementary school.
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