Many students feel like knowing how to do well in math is an inborn skill, something that can’t be learned. But the truth is that anyone can be successful in math – they just need the right strategies.
- Do all of the homework. Don’t ever think of homework as a choice. It’s the most important way that students practice and master the concepts taught in class. Set up a regular time and place that make doing the homework feel automatic.
- Fight not to miss class. Math class moves fast, teaching a new concept every day. What students do today builds towards tomorrow. Math punishes absences; to keep up, students have to make time to come back and learn what they missed. So if there’s an optional appointment to be made, take care not to schedule it during math.
- Find a friend to be your study partner. We all have reasons for legitimate absences. So find a friend who will take good notes when you’re gone and will call that night to fill you in on the homework. This is good practice for the real world, where building positive relationships is necessary to thrive. In more advanced classes, it’s a good idea to build a study group to practice for tests.
- Establish a good relationship with the teacher. High school teachers have up to 175 students, so it’s important to distinguish yourself. During the first week of school, introduce yourself. Let your teacher know that you are interested in her class, and welcome the opportunity to learn. Ask questions that show you’re paying attention. Parents should also introduce themselves, via e-mail or at Back-To-School night. Teachers respond best to students who show that they care about the class.
- Analyze and understand every mistake. Our culture has become perfection- focused, and it’s tempting to ignore our mistakes. Students want to pass over a mistake made on homework or a test, to just let it go. But it’s important to fix mistakes and understand why they were made; otherwise we’re doomed to repeat them. Take time to figure out the thinking behind a mistake, and figure out how to do it right. Ask the teacher if you’re unclear. In advanced classes, it can be helpful to write a paragraph of reflection about why errors were made.
- Get help fast. If a student realizes that something is difficult, he should seek as much help as possible as quickly as possible. Teachers are very receptive to requests for extra help. Straighten out misunderstandings before they start to snowball.
- Don’t swallow your questions. Questions are the vehicle by which we learn. If you have one, ask it. Chances are that many of your students have the same question. Saying it out loud will help you, your classmates, and the teacher. Asking good questions is a lifelong skill, and school is a safe place to practice. The more questions we ask, the easier it gets. A good teacher will respect all questions. If you feel that your teacher embarrasses you for asking a question, talk to your parents and have them tell the administration; this is a serious problem.
- Basic skills are essential. Quick: what’s 9 times 7? To be successful, students must be able to answer this correctly in their sleep. The multiplication tables are the basis for most high school math problems. If your child doesn’t know them, practice! Make flash cards, buy a computer program, and practice, practice, practice.
- Algebra I must be mastered. Algebra I skills are crucial to later math courses. Students must master skills like solving systems of equations, graphing, slope, and simplification of radicals. Don’t push students to take Algebra I until their teacher says they are ready. And if their Algebra grade is below a C, strongly consider re-taking the class. Even in Calculus, most problems consist of one difficult step, followed by ten steps of Algebra.
- Understand what the calculator is doing. It’s not enough to know how to use the calculator; students need to know what the answer means. They should ask themselves what the calculator is doing for them, and always analyze the calculator’s answer. For instance, if the teacher asks for “the square of negative three,” many students will type in “-3^2” which gives the answer “-9.” But the real answer is “(-3)^2”, or 9. Students should play around with their calculators and become familiar with the way they work.
How do I get good at math?
I’m a freshman in college, and I’ve always done OK in math. I never had any good teachers in High school, and I always have done the bare minimum. Over the course of this year, I really came to understand how important math is and how much potential I have to enjoy it. I’m taking a discrete 2 course and I love it. (I’m a Computer Science major)
Even though I passed Calculus 3, I don’t feel I understand Calculus. I have an excellent memory and was able to memorize formulas and apply them when I was supposed to. I don’t understand anything though.
I came to the realization that I should put some effort into getting better at math. Over spring break, I went through almost all of Khan Academy’s exercises just to make sure that I have a good grasp on the very basics. I’m going to finish them up in a couple of days.
what should I do next?
My plans are to start at the beginning of my Calculus book (Thomson’s Early Transcendental) and work my way through the book (one part a day), reading everything and doing every problem. I don’t know how good of a book this is though. I’ve done some googling and a lot of people recommend Spivak’s and Apostle’s Calculus books. Is it worth purchasing one of these (or something else) if I really want to comprehend the material? Are they good for self-teaching?
I usually have some sort of project like this going on (except never math based), and I’m completely willing to put time into this goal. Some direction would be nice though.
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