Here at Mathnasium of Avon, we have a lot of information we like to share.  In this article, we want to introduce the importance of “numerical fluency” and learning basic “number facts.”

Imagin a teacher asks a classroom, “If you spend 70 cents, 80 cents, and 90 cents, how much did you spend altogether?”

The teacher is thinking:

“7 + 8 + 9 = 24.  With a zero at the end, the answer would be 240 cents.”

However, our “finger counting” students, which is sadly too many of them, are thinking:

“7 + 8 = 7…8…9…10…11…12…13…14…15,” then “15 + 9 = 15…16…17…18…19…20…21…22…23…24…25 (oops).”

More often than not, finger counters get the wrong answer because they either count too many or too few.

Since the process of “getting it wrong” is so uninspiring and time–consuming, not surprisingly, many students report being “bored" in math class.  In addition, the process has taken so long that the student is no longer in the flow of the lesson, which in this case, is learning about how to “add a 0 at the end.”

When we talk about “number facts,” we’re including all addition, subtraction, multiplication, and division problems resulting in single-digit and double-digit numbers (up to 24 for addition and subtraction, and up to 144 for multiplication and division). Examples of number facts include:

 3 + 7 = 10             13 – 5 = 8             5 x 9 = 45             120 ÷ 10 = 12 

In some schools, there is emphasis on rote memorization of “number facts.”  However, this emphasis is not optimal.

“Numerical Fluency” is the ability to “effortlessly recall—to know by heart.” Students should be able to tap into their reliable, quick, and knowable ways to answer “number facts” questions.

Many students in 2nd through 5th grade (and higher) have a limited grasp of numerical fluency. Hence, their ability to stay in the flow of new lessons is extremely limited.  This makes mathematics a frustrating and painful process for everyone involved—the kids, the teachers, and the parents!

Memorization seems to be the more understandable route initially, but it does not promote the mathematical thinking and problem-solving skills that are required for long-term success in math. Eventually, most students will forget what they memorized. 

We suggest that it is fairly easy to forget that which you have memorized, and nearly impossible to forget that which you have learned.

We believe students need to build mental structures—frameworks for learning— so that they will know the basic number facts in a matter of a second.  Then they won’t have to worry about “forgetting.”

For more information, visit https://www.mathnasium.com/avon.  Or call (860)785-6284 about scheduling your FREE assessment TODAY!!