The smaller frame introduces the child to addition, subtraction, and multiplication.
Now the child needs to know how many beads are on each line. Count the beads, one at a time, while pushing them to the right.
Now, push 1 ten to the right hand side. Continue counting tens (1 ten, 2 tens, etc.) and exchange for a hundred bead. Do the same through the thousands.
T-Man worked with static addition problems for a day or two before he quickly wanted to move along to dynamic addition. Unfortunately, I didn't take pictures of his static addition. For an example of static vs. dynamic, see this post from the stamp game. Short story, static involves simple addition, while dynamic involved carrying of the numbers.
He started by writing his equation on his small bead frame paper. His equation is 9+7.
He moved 9 green (unit) beads to the right side of the frame.
Then he started adding 7 to the 9 green beads. He pushed 1 bead over and stopped because he was at 10. Then he pushed all 10 green beads back to the left and then moved 1 blue (ten) bead to the right. He went back up to the green beads and continued counting with 2, 3, etc. until he got to 7.
Now he took his pencil and recorded how many green beads he had. He wrote down 6 on the green line under the units column. He then recorded how many blue beads he had (1) and wrote it on the blue line, or the tens column.
Here is what his answer looked like when he is done.
He worked for awhile.
Here are more of his equations. We will move on to larger equations in the next few weeks. I'll try to update this post and add pictures.