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Passing a college-level math course requires a higher level of study and dedication than you may have seen in high school。 In order to help you succeed, here are some common issues that students face, and how you might work through them。
Keep in mind that what you see in class is the result of an instructor who has had thousands of hours of practice。 Even your instructor had struggles while mastering the skills of mathematics。 Just like watching LeBron James play basketball doesn't turn you into an amazing athlete, or hearing a performance by Yo Yo Ma doesn't make you a spectacular musician, watching your instructor work through problems in class doesn't remove the need for practice on your part。
If you're running into difficulties working through problems outside of class, consider the following:
寻找一个已经解决的类似问题。 These may be example problems in the textbook or from your class notes。
和同学一起做这些题。
在办公时间拜访你的导师。 Your instructor's office hours are times that have been specifically set aside to help students who are having difficulties with the class。
Visit the 数学实验室 (LA201), or sign up for online tutoring through the tutoring center。
数学课程的某些部分有补充说明(SI)部分。 Regularly attend these sessions to learn and review the most important concepts outside of class。
此外,不要让一个问题阻碍你。 Remember that you can always come back to the problem causing you difficulty, and you don't need to wait to try later problems。 However, if you're encountering difficulty on most problems, you may want to talk with somebody who can help you identify your difficulties。
考试和作业是截然不同的。 Many resources you have for homework aren't available for exams。 For instance, you can't consult with friends, classmates, tutors, or the instructor while taking your test。 Notes and worked examples generally aren't available doing exams, and there's no back-of-the-book you can use to make sure your work is correct。 Additionally, homework assignments generally follow a lecture almost 立即, but exams tend to come days or weeks afterward。 Exams require you to be able to recall a procedure on a much longer time scale than the homework does。
适当地记住这些想法 practicing and reviewing your homework 会帮助你准备考试。 While doing your homework is important, the way in which you do it can help you prepare (or not prepare) for an exam。 Habits that will help you prepare better include:
尽量在“测试条件”下完成作业。 If you've done a problem and used a resource you won't have on the test, try to do it again without that resource 立即。 根据需要重复几次,直到你能自己流利地完成。
To help you with your ability to remember long-term, after completing one assignment, go back and work a few problems from a previously-assigned section。 Perhaps have a friend or classmate choose problems at random for you to better simulate a testing environment。
学会在做作业的同时检查你的工作。 If this is a habit while you're working through the homework, you'll be sure to do it on the exams as well。 Different types of problems have different things to check for, so you'll want to be familiar with the methods you can use to verify your answers!
记住,数学考试不仅仅是关于是否会 识别 一个正确的解决方案,但是能够 生产 一个。 There's a good chance that you haven't seen the particular problem you'll be given on the exam, so practice is absolutely critical!
做一些你最难做的部分的附加题。
设定一个固定的时间来做作业。 In mathematics, the general recommendation is that for each hour spent in class, 2-3 hours should be spent doing homework or studying。 在你上数学课的学期里,把这作为一个惯例。
一定要收好并复习你的作业。 Take note of anything you may have gotten wrong and spend some extra time studying those topics。
如果你开始注意到问题,立即联系你的教练。 Math is a topic that builds on itself, and in most classes, the material gets more difficult as time goes on。 Failing to fix a problem early on means that a bigger problem needs to be solved later, when there's often much less time。
预计课程的节奏会很快。 College-level math courses often move much faster than high school math courses。