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# How Can You Use Your Hands as Multiplication Manipulatives?

Another math coach related to me today the story of how a student she taught had named fingers sections as something that comes in groups of threes.  She took this concept and helped students use this to develop multiplication strategies to learn their threes multiplication tables.  Fours multiplication tables can be learned as well if students include counting the top part of their palm.  See the pictures below for more clarification.

## 25 comments on “How Can You Use Your Hands as Multiplication Manipulatives?”

1. youjiang on said:

hi, can you explain further how this work? do i have to write all the numbers on the different sections of the fingers? is the maximum range 3*5=15? only up to 5? hope you can help. thank you.

• Ms. K on said:

Well, I wouldn’t recommend actually writing the numbers on the fingers (although I guess you could). I just did that for the picture so that it would be easier to explain. Students naturally count on their fingers, so making them aware that there are three sections on their fingers would help them count each section of their fingers to figure out a multiplication fact. Eventually. students could count by 3′s as they touch each finger and would no longer have to count each section by 1′s as they get more comfortable with the multiples of three. You could do up to 3×10=30 on your hands. I was just holding the camera with my other hand and so my other hand isn’t in the picture. Let me know if you still have questions.

2. Shannon Venable on said:

This is confusing. Can you explain how it works?

• Did the above comments section help you understand how students can use their finger sections to learn their 3′s multiplication facts? If not, what exactly is it that you don’t understand, so that I will better know how to answer your question.

• This is TOTALLY confusing……..someone please explain and yes I’m human>>>>>>

• If you look at the back of your hand, your fingers are divided into 3 sections where they bend. If you train children to touch each part of their finger then they will have fifteen sections on each hand …or 3 sections per finger. So if a student was trying to solve let\’s say 3 x 4, then they could hold up 4 fingers and count the sections by ones. For the first finger they would count 1, 2, 3…the second finger 4, 5, 6, the third finger 7, 8, 9, and the fourth finger 10, 11, 12. So there are four fingers with 3 sections on each leading to the answer 12. Eventually students would hopefully stop counting each section by ones and realize that each finger could be counted by 3. At that point, then the child could count on four fingers saying 3 as he touches the first finger, 6 as he touches the second finger, 9 as he touches the third finger, and 12 as he touches the fourth finger.

3. lucia lang on said:

I get the numbering of the fingers but I do not know how you come up with the answers. Must you count every digit to get to the answer or is there a short cut to the answer?

• There is no shortcut. Students would have to count each finger section by ones if they are fledgling learners of multiplication. Eventually they will hopefully count just the whole finger skip counting. Using your finger sections is a very concrete direct modeling strategy according to CGI (Cognitively Guided Instruction) in which each item is counted. When students gain some understanding of multiplication as equal groups, then they can use a skip counting strategy.

4. J Sicat on said:

Wow! This is cool. It makes sense and you can even expand it to your second hand if you’re really desperate to figure something out without a calculator on hand. I’m sharing this.

5. Tiffany on said:

This is great!

6. MS. K, This is brilliant! Thank you so much for sharing your multiplication tip. I cannot wait to show it to my nephew.

7. Please oh please stop teaching students hand tricks to teach multiplication Facts! Please Have your students memoriZe their facts! I am a middle school math teacher and it is difficult to teach algEbra when theY don’t have the facts memorized. Students take timed tests in middle school and do not have the time to Perform these tedious triCks when they are required to solve multi stEp math word problEms. Thank you so much!

• I understand your concern. I work with older students, as well as ones with fledgling understanding. I do emphasize memorization after students have developed a foundation for understanding of multiplication. The multiplication hand trick is merely a step in foundational understanding.

• Sounds like Tara teaches to the test. Enough said

• Middle school kids should have already mastered their facts long before.
This math trick is useful for younger children who need to understand that 5×3 means 5 sets of 3. Once they understand the concept, then they should go on to start memorizing a few facts.

• Thanks for your comment! I agree… I think that the you tube video trick would be somewhat confusing because it took me a while to figure it out after watching it…however, I still think it’s cool and I want to figure out what makes it work !

• Teachermom on said:

Teaching to the test….it’s what all great teachers do!!

• joellen claypool on said:

Memorization Is very important. However I struggled for years with my older boy with that method. We would repeat them and practice over and over again and the next day he would forge them. I learned that he had dyscalculia and could not learn that way. Once I was introduced to the hand tricks and lattice math our lives became much easier and in turn he was able to remember some of them because he could picture the method in his mind. People have to learn the way that is best for them.

• Ms. K on said:

Great comment! That reminds me of a story the math common core trainer for our state told about her son with a VERY high IQ who couldn’t learn his math facts. She said she worked and worked with him every night, and he would never learn them. She had him tested 6 times to make sure they hadn’t made a mistake with his IQ testing! She said that it wasn’t until he got to 9th grade and had to use a calculator that he learned them. He could remember them by visualizing them on the calculator screen!

8. oh my gosh! This is the coolest thing ever. This video shows the multiplication facts from 6′s to 10′s on your fiingers. i don’t know if this would help or confuse kids, but i just found it….see what you think.

• I think the trick in the video would only work for older kids (it can be pretty confusing) who have pretty much already learned their times tables, and maybe have a couple they occasionally forget. But then I still think it still would be faster to add them up.
The trick you showed in your post is helpful for younger children — they *need* to actually *SEE* that 5×3 is 5 sets of 3 each. Eventually they will start learning a few multiplication facts now and then, and will gradually not need to count anymore.
Counting should only be used to teach the concept of multiplication; not relied on in place of memorization.

9. Bahni on said:

I lOve this! I home scHool my girls and Am always looking for tricks to make math easier and fun. Thank You!

• Ms. K on said:

I appreciate your comment! Thank you for reading my blog…come back and visit soon !

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