Most students start taking pre-algebra in 8th or 9th grade and algebra in 9th or 10th grade. Before taking an algebra class, most students mainly learn arithmetic in math class. Arithmetic is “the branch of mathematics dealing with the properties and manipulation of numbers.” Algebra is arithmetic with variables, or symbols representing an unknown quantity. The variables in algebra require students to think at a higher level of abstraction than arithmetic. Algebra also requires skills in logic and mathematical reasoning.
Children who understand arithmetic usually do well in algebra. Likewise, children who have math gaps in arithmetic, find the added abstraction of algebra makes it even more difficult than arithmetic. The thinking skills required for algebra takes time and practice so starting early is a good idea.
Even young children can start thinking algebraically, and many schools introduce algebraic thinking early on by using blanks ______ or math mountains where there is a missing number in addition or subtraction problems.
How to Check for Algebraic Thinking Skills of Your Young Child
If you have a child under the age of 10, try this beginning exercise in algebraic thinking. Count out a total quantity of pennies, or any small object. The younger the child, the lower the total quantity should be. Write down that total. Now hide some of the pennies. The hidden quantity becomes the variable or the unknown. Have your child figure out how many pennies you hid by counting the pennies still showing. For this example, let’s say you have 9 pennies and leave 4 showing. You would write
__+4 = 9
Your child has to use logic to figure out that you must have hidden 5 pennies. Instead of using “x” as the variable, you are just leaving a blank. That is basic algebra!
Of course the algebra courses in middle school and high school are much more complex, but they operate on the same principle.
How Does Mathnasium Make Algebra Easier?
We begin by building a strong arithmetic foundation and start to integrate algebraic thinking in elementary school children. We fix any arithmetic gaps before they get to algebra. Our assessment process and individualized instruction at Mathnasium of Littleton is the perfect algebra preparation.
What if My Child is Already in Algebra?
It is never too late to get help! For children already in algebra we follow a three pronged approach.
1) Fix any glaring gaps in arithmetic.
2) Teach why certain strategies and formulas are used in algebra. Understanding the why improves abstract thinking abilities.
3) Practice algebra skills until they feel like second nature.
When you enroll your child at Mathnasium of Littleton for help in algebra we use part of our instruction time using our own curriculum and part of the time on their homework. They will work on any math gaps, discuss why their homework tells them to use particular formulas, get plenty of practice, and receive instant feedback. Have questions? Call us anytime at 303-979-9077
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