I will give when it comes to tackling the algebraic aspects of calculus is one I emphasize again and again to my students: TAKE YOUR TIME!!! Many mistakes can be eliminated by not being in a hurry to solve a problem. Also, look over the test when you get it and do the easy problems first. That will leave you a lot of time to pore over the more challenging ones and you won't feel yourself under as much pressure.
I tried doing this on my last exam (taking my time). I wasn't rushed, but I only had enough time to try each problem once without any time to double check. I felt goo about the test (and I actually did well on the previous quizs for the chapter gettings a 70, 100, 95, and 100). I thought I was going to get a high B, low A. My score? 81.5% after a curve (76.5 originally). The professor told us curves will be rare, so don't rely on them, even though both exams have been curved so far. I haven't gotten my test back yet even though I took it almost 2 weeks ago. We have two teacher teaching this class as they are dealing with vacation this summer and the teacher that gave us the last exam is now on vacation, but mailed the tests to the other teacher. I should have them tomorrow. My grades are online so I can at least see how I'm doing. In other exam where I went faster, I had time to double check my work. Either way it doesn't make much difference (that test grade: 70%, after curve 80%). The mistakes from going fast with double checking (and thus fixing some mistakes), are about the same as the mistakes from going slow without.
I've always been a slow test taker in high school and college from over 10 years ago, and the same is true today. I'm the type of student that thinks really deeply about problems and typically spends on average, about 15 minutes a problem on calc 1 homework (which makes this take a long time, as I usually have about 50 problems to do each week). I do practice some problems before an exam to make sure I can solve them in say around 4 minutes, but it's always difficult. I'm just not fast, even if I understand the concepts and how to do things.
I'm not a fast reader (even though I've bought a speed reading book and have tried to increse it, around 160-200 words/minute deepending on the material). I'm a softare engineer, and when I program, I'm also a slow thinker and want to fully understand what I'm about to do before I just jump in and get stuff done, but the quality of my work is very high.
Essentially, If I had say, 2-3x the time that is typically devoted for a Calculus exam or test, I'm sure my grade would be a solid A, not hovering around the C/B range. If I go slowish on a test (that is only time to attempt each problem but not double check) it's still fast for me. I get to the answer and can tell it's not right, but have no time to fix it. If I try going faster, then I just make even more mistakes, and while I have some time to fix them, it just seems to be a wash with when I go a bit slower. I just am a student that needs more time!!! I try to devote more time to studying, but this is difficult working full time even though this is the only class I'm taking this summer. I'm spending about 15-20 a week on homework. And another 5-10 hours a week on supplimental review, quiz, and exam prep. So 40-hours of working, plus 20-25 hours of school. I don't really know how to devote even more time to become faster.
I've also bought 3 supplimental books (humungous book of calculus problems, calculus lifesaver, and pre-calc for dummies). I only really have time for the pre-calc book for review looking up something I have forgotten (like the unit circle or factoring polynomials). I also use Khan academy to practice those concepts. I have test taking anxiety, which after 2 exams and a dozen quizes I'm just beginning to learn to deal with. As mentioned I'm a slow test taker. The classes are in the evenings after a long day of work, and my study time is mostly in the evenings as well. The best time for me is in the mornings to have my mental capacities running at optimum, but I work most of the time. I only have the weekend to work on class in the morning. I'm making sure I get 8-9 hours of sleep each night. I'm eating healthy. I take breaks when I get stuck on problems in the homework, but I am a bit stuborn in that I won't skip then until I finish them.
I'm trying my best and I'm struggling to get a B- in this class. I never in my life struggled this hard with any class, including math (though I've always struggled somewhat with math but chaulked this up in the past to not really trying hard [because I feel I didn't try as hard as I could or really do my homework like I should]). This time around I'm giving in all the time I have. All the focus I can. I'm thinking about math so much that I often dream about equations most nights. It's all consuming and I still just can't get anything higher than a B- on tests. And quizes hover in the 60-100% range, averaging around 80%.
I'm just frustrated!