With finals just around the corner for many students, we wanted to share some of the math test preparation myths in which many students have faith. Believing these myths will greatly reduced your child's chance of success on their exams.
One of the most common questions asked by Mathnasium students is how to study for and prepare for their upcoming math tests. Many students, especially students who have struggled in math, suffer from test anxiety which leads them to believe that no matter how much they study, they won’t do well on the test. Although test anxiety is real and affects many more students than people realize, there are ways to improve your child's chances of success on their upcoming math finals. Just as the right practice helps improve skills in athletics, the right way to study improves test taking skills in all students. Here are some common myths about studying math and preparing for math tests as well as a very effective way to prepare for math tests:
Myth #1: Math is just memorizing formulas.
While there are definite formulas or algorithms all math students need to know such as how to calculate the area of a rectangle, triangle, circle, how to figure percent of change, the slope of a line or what the quadratic equation formula is, math is really a matter of problem solving. Those students who are most challenged by math have not developed the reasoning, logic, or understanding they need to find the solution path. Every math student should ask these questions when reading a problem:
What do I know (or what is given)?
What do I need to find?
How do I break this into parts?
What should I do first, second, etc.?
Myth # 2: Reviewing a few problems in the chapter is all I have to do to study for a test.
While re-doing some homework problems in the chapter helps to review the section covered, it is not the most effective way to study. Top math students will work out every single problem in each section! They schedule multiple practice sessions during the weeks leading up to a big test. Additionally, they seek help from their teacher or tutor for any problem they cannot solve.
Myth # 3: Even though I did not fully understand the previous chapter or section, if I can correctly solve the problems in the next section, I don’t need to worry
This common belief among students is what causes them to “crash and burn” when they take their tests. Unlike other subjects, math knowledge is cumulative. Sections which are missed (due to absences from class or inattentiveness during the lesson) or topics not fully understood create “gaps” in the student’s math level. These “holes” may not manifest themselves until later, when another concept is introduced which builds on the previously introduced math concept. Such gaps lead to confusion and more problems keeping up in class.
Myth # 4: There is only one way to solve a math problem.
A student who only knows one way to come up with a solution will run into trouble when the teacher changes the parameters or “reverses” the problem to be solved. Reversing a problem requires an experience-base that includes practice in reverse-thinking. For example, most of us can answer the question, “What is half of 12?” A reverse question would be “Half of what number is 6?” The concept also applies to a student memorizing a formula in algebra. Fully understanding how and mastering when to use a mathematical formula requires a lot of practice with similar problems, which in turn results in arithmetic fluency. This fluency is similar to that referred to when learning a language where a student learns to speak beyond phrases and begins to implement his/her own sentences. It is also similar to the point an athlete reaches after many hours of practice when they become a play maker rather than just reacting to what is happening on the field or court.
Myth # 5: I don’t need to check my results
Many student mistakes are caused by human error rather than lack of understanding. It is important to work each problem carefully to minimize errors, and it never hurts to recheck calculations. Careless mistakes often occur when the calculations become so mechanical that the student’s mind begins to wander and lose concentration. Sometimes a simple arithmetic operation or sign error will lead to an incorrect answer. Organizing the work on paper in a step-by-step sequence helps a student trace back to find any possible mistakes.
Preparing for tests and quizzes requires a systematic method for reviewing the concepts, solving all the homework problems, memorizing key concepts and formulas, and taking practice tests (normally at the end of the chapters) in the textbook. In addition, following the five success steps below will help a child excel in math and all academic areas!
1) attend class regularly
2) take detailed notes from the teacher’s explanation
3) do all assigned homework everyday
4) ask for help if needed
5) review previous math concepts regularly (i.e., several times a week) rather than cramming the night before an exam.
If your child has struggled with math all semester, these tips will probably be insufficient to insure a high grade on their math finals. Call us and let us diagnose any underlying gaps in your child's foundational understanding. We'll set up a plan with you and your child to address those gaps and work toward a successful second semester in math. 303-840-1184
