Department of Energy Argonne National Laboratory Office of Science NEWTON's Homepage NEWTON's Homepage
NEWTON, Ask A Scientist!
NEWTON Home Page NEWTON Teachers Visit Our Archives Ask A Question How To Ask A Question Question of the Week Our Expert Scientists Volunteer at NEWTON! Frequently Asked Questions Referencing NEWTON About NEWTON About Ask A Scientist Education At Argonne Math Memorization
Name:   Jeanine M.
Status:   student
Age:   40s
Location: N/A
Country: N/A
Date: 1999-2001


Question:
What is the absolute best way for a 5th grader to memorize the multiplication tables?


Replies:
Jeanine,

I do not know the best way, but I do know the worst way. Do not encourage the student to count through the tables like this:

2, 4, 6, 8, 10, 12 .... etc.

7 14, 21, 28, 35, ... etc.

12, 24, 36, 48, 60, ... etc.

Even if they get very skilled at it, students who use this method will be crippled because each multiplication problem will cause (force) them to mentally count through the table until the desired result is obtained. This wastes time and slows the thinking process.

Regards,
ProfHoff 348


The best way I can think of and that has been useful to me is just REPETITION REPETITION REPETITION REPETITION REPETITION REPETITION REPETITION REPETITION.

The 2nd best approach would be for some sort of association method. 2x's are easy. You just count by two's. 10x's are easy. You just add a zero at the end. 9x's are kind of easy with each higher number starting from 2, 3, 4, and so on then second number goes down by one...1X9 = (9),2 X 9 1(8) and so on.

In my opinion this gets to be too much of a hassle trying to remember all of your pneumonics. The best way is just to memorize that 9 X 7 = 63 and that 8 X 7 = 56. In time and with repetition to the point of nausea the 5th grade student will have no problems retaining the multiplication tables from 1's to 12's.

-Darin Wagner


Hi, Jeanine !! There is not a best way to memorize the multiplication tables. They should be learned naturally, and repeated like our names, like the name of our food, of our brother, sister, mother, father, ...etc.

Alcir Grohmann


I am not sure there is a "best way" to memorize multiplication tables. Here are some suggestions:

1. The fifth grader is likely to say, "I have a calculator, why do I have to memorize these 'dumb' tables?" You better be prepared to have a response. He/she could use a hand calculator to do exercises and/or games involving multiplication 'facts'.

2. Different people learn in different ways -- some visually, some by hearing, and so on. Prepare exercises using the various senses to create exercises (games) involving multiplication.

3. Use the fact that multiplication is really a shortened form of addition. This gives the student an alternative to memorization. For example, 3 x 7 = 7 + 7 + 7. The fifth grader may well be able to add (7 + 7 + 7) even when 3 x 7 remains a mystery.

Good Luck

Vince Calder



Click here to return to the General Topics Archives

NEWTON is an electronic community for Science, Math, and Computer Science K-12 Educators, sponsored and operated by Argonne National Laboratory's Educational Programs, Andrew Skipor, Ph.D., Head of Educational Programs.

For assistance with NEWTON contact a System Operator (help@newton.dep.anl.gov), or at Argonne's Educational Programs

NEWTON AND ASK A SCIENTIST
Educational Programs
Building 360
9700 S. Cass Ave.
Argonne, Illinois
60439-4845, USA
Update: February 2012
Weclome To Newton

Argonne National Laboratory