Are you just beginning facts, division with remainders, or long division?
I saw something here on PT that really worked for my kids this year. You know how they want to always put the quotient in the wrong place? This solved it, and I didn't have one do it incorrectly this year!
When you teach how to do the problem, also teach them the steps of GUMS.
g=Goes Into
u=UP on top (this is the one that really helped!)
m=Multiply
S=Subtract
Of course, I gave everyone a piece of gum on the day that I introduced this! It really helped, too!
We have only learned division with remainders, but will be doing long division when we return. I plan to change my acronym to DMSCB or Does McDonald's Serve Cheese Burgers when we do that. I'm sure you know about that one.
Hoped this helped a bit. Some years are always better than others!
I love the helpful hint "Does McDonald's Serve Cheese Burgers. I am guessing DMS means divide, multiply, subtract. What does the C and B mean? Thanks for your help!!
The C is for "check", the step where you check to make sure the number you got when you subtracted is less than the divisor (if not...you made a mistake either in the div., mult., or subt. in this part). The B is for "bring down" in which you bring down the next digit from the dividend and continue the division steps. I also teach my students that if there's no digits to bring down, then the B can be for bring up, so that they remember to bring the remainder up and write it next to the quotient.
Have you tried partial quotients? It's a little hard to explain, it's part of Everyday Math. Helpful if students aren't very familiar with all their facts. You can try googling it to better understand it.
I use the DMSCB all the time but have never heard of Gums. Thanks for sharing. I can't wait to use it when I start division beyond just the basic facts.
We always use "Dad, Mom, Sis and Brother" to teach the process for long division. If you want to add "cousin" after sis you could do that to remind them to compare their subtraction answer with the divisor. I also recommend using graph paper as a way to help them line up the digits properly. Sometimes it helps to show them what happens when you line up the digits incorrectly so you can show them the absudity of the answer. Otherwise, it takes a lot of practice and reinforcement. After you move on to some other skill, revisit division on a regular basis, even if it's just a few problems per week. It's amazing how fast they forget when they don't really learn it well. Be patient!!
My other team member learned another way of doing division. It is called "Scaffolding". I do not know it but she sometimes uses it for those that have a hard time the regular way. Try goggling it. Hope you find it and it helps. If not let me know and I will have her explain it
I use Dad, Mom, Sis, Brother as well. I have a small card that I make for each child. It's divided into 4 squares with the "people" on it. They use a chip, eraser, anything to show which step they are on. I find that a lot of times with beginners, they forget what they just did. As they do the step, they move their marker to the next square.
Two years ago, my team and I ditched the typical algorithm and we use the forgiving method. The kids have been much more successful. The forgiving method seems to take up more space and be a bit more tedious, but as the children become more proficient it is much shorter.
I (and my 6th graders) really love partial quotients division. My kids call it "hangman" because that's what it looks like! I've got examples and an explanation I wrote out for someone else awhile back--if you want me to email an attachment to you, let me know!
My students are very successful with the "Division Family" Dad (Divide), Mother (Multiply), Sister (Subtract), Brother (Bring down).
Also, it's good to take a break from it when you feel frustrated or you see the students frustrated. Come back to it later with fresher minds and happier moods. Maybe cover something that is easier for them to learn so they can feel success again and then they will be ready to "Divide and Conquer".
I would love to have a copy of the explanation of partial quotients. This is my first year teaching math and I'm desperate for ideas.
My email address is nsbeardgmail.com
Thanks.