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Finger Counters Beware!

Mar 21, 2013 02:27PM, Published by tina, Categories: Today, City+School


Having numerical fluency is the foundation for understanding and learning mathematics



Sponsored by Mathnasium of Southlake

By Meredith Jones, Center Director Mathnasium of Southlake

At Mathnasium of Southlake, we strive to develop each student's number sense and fluency and teach in a way that makes sense to them.  A major roadblock to many students from 1st grade into adulthood is finger counting.  We tackle this problem right away in order to build each student's confidence and speed.  Once students are fluent in numbers, math is easier and makes more sense.  Larry Martinek, the creator of Mathnasium, has written many articles concerning this matter.  One of my favorites is about the aforementioned topic of finger counting.  Larry writes:

I want to introduce the importance of “numerical fluency” and learning basic “number facts.”

Picture this scenario.

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).”


Many times finger counters get the wrong answer because they either count too many or too few.

Now, 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.”

The term “number facts” includes all addition, subtraction, multiplication, and division problems resulting in single–digit and double–digit numbers (up to 24 for addition and subtraction, and 144 for multiplication and division). Examples of number facts include:

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

In school, great emphasis is put on rote memorization of “number facts.”  This emphasis is misguided.

“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 grades 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.


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


What students need to do is 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 on Mathnasium and our curriculum, please visit our website at Mathnasium of Southlake, call (817) 421-1900 or drop by the center at 1251 E. Southlake Blvd., Suite 305 and see how we make learning fun.  To read more on Larry's blog, please visit The Number Sense Blog.  




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