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RightStart™ Mathematics by Activities for Learning, Inc.

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Quilting and the Cotter Abacus

October 30, 2025 by Kathleen Cotter Clayton

I am a quilt designer. I’ve made over 250 quilts in my lifetime, 98% of my own design. I’m currently working on my sixth quilt from someone else’s pattern.

I have the directions in front of me as I’m approaching on the final steps of Bonnie Hunter’s Allietare quilt design.

Quilt1

I find myself struggling to understand how all the pieces go together. I can briefly see it, then it vanishes. I look again and understanding shimmers, then vanishes again.

I read the instruction once more, but how it all works together still eludes me.

In order to understand, I draw.

Quilt2Quilt4Quilt5Quilt6

I draw out what I have right in front of me.

Quilt3  Quilt7  Quilt8  Quilt9

This drawing, this reassembling of the pieces, allows me to understand. Now I can see how the pieces go together. Now I can proceed!

Why do I share this with you? As I was struggling with the design, I thought of children struggling to grasp math.

If a child only has a printed page in front of them with the directions, that does not ensure understanding. I don’t care how great the instructions are or how colorful they are, it’s just not going to happen.

They need to touch their math. Play with it. Explore it. Manipulate it.

Which is exactly what the Cotter Abacus does.

If you show a child 3 + 3 = 6, these are abstract symbols representing specific quantities. This configuration can be memorized. But this memorization is not the same as understanding.

But if we allow a child to SEE the actual quantity of 3, and 3 more,

Quilt10

then COMBINE of the quantities, now we have the quantity of 6.

Quilt11

It becomes real. Easier to understand. Easier to remember.

That, my friends, is the power of a good manipulative. The Cotter Abacus is a visual and tactile tool that helps children develop mental images of quantities, strategies, and mathematical operations.

Stan, age 5, was asked what 11 plus 6 is. With confidence, he said 17. When asked how he knew the answer, he responded, “I have the abacus in my mind.”

Filed Under: 2. Lessons, 3. Struggling Learner, 4. General Info Tagged With: abacus, addition, AL Abacus, Cotter Abacus, manipulatives, quilting

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