Ask a fourth grader which is bigger, ¾ or ⅔, and you'll usually get a guess. Ask the same child after twenty minutes with a set of wooden fraction circles, and you'll get an explanation.
That's not a coincidence. It's the whole method.
Concrete, pictorial, abstract
Montessori classrooms have known this sequence for a century: hands first, then pictures, then symbols. A fraction is not a pair of stacked numbers — it's a quantity. Until a child's hands have held three quarter-pieces next to two third-pieces and felt that the first pile covers more of the circle, the symbols are just a ritual to memorize.
At BrainBrio, every math student in Specialized Learning Support starts at the concrete layer, no matter their grade:
- Concrete. Wooden circles, golden beads, base-ten blocks. The math lives in the hands.
- Pictorial. The student draws what they built. The picture is a bridge, not a shortcut.
- Abstract. Only now do the symbols arrive — and they arrive as labels for something the student already understands.
Why this matters double for dyscalculia
For students with dyscalculia, number symbols can feel arbitrary in a way most adults have trouble imagining. The concrete layer isn't remediation — it's the front door. When the quantity is physical, working memory is freed up to notice relationships instead of struggling to hold meaning.
One of our students put it better than any methods textbook: "The blocks are the math. The numbers are just its name."
Try it at the kitchen table
You don't need a materials cabinet. Cut two paper plates into quarters and thirds. Ask which single piece is bigger, then which pile wins: three quarters or two thirds. Let your child stack them, overlap them, argue with you about it.
The argument is the learning.