Article

Give Numbers Something to Touch, and Math Starts to Make Sense

Struggling at numbers is rarely a missing math brain. It is usually a skipped step: something real to hold before the symbol arrives. The same concrete-first method helps children with dyscalculia and children who were taught the wrong way, no diagnosis required first.

Give Numbers Something to Touch, and Math Starts to Make Sense

“Why does my child freeze at math?” is the search a parent types after another worksheet ends in tears. Close behind it comes a quieter fear: that some children are not math people, and yours is one of them. Here is what that late-night worry has backwards. A math struggle is rarely a broken math brain. Far more often it is a missing first step, one that got skipped before the numbers ever reached the page.

FROM THE VIDEO

Key moments from School Shorts: understanding dyscalculia with Esther White, Head of Maths Australia:

  • 00:30Why reading is taught concrete first and math is taught symbol first
  • 12:19Why counting on fingers well past the early grades is a signal to act, not a verdict
  • 21:26The concrete-to-abstract sequence to try at home with blocks

Common questions from parents

Is my child’s math struggle dyscalculia, or the way they were taught?
It is often both, and the good news is you do not need to know which before you start. Genuine dyscalculia is real and partly inherited, and many children struggle because they met the symbols before anything concrete. The same concrete-first teaching helps either way. A screener is a starting point, not a diagnosis. If your child might need formal accommodations, like an IEP or 504 plan, a professional evaluation is the route to those supports. The same holds if you suspect a vision, hearing, or medical cause.
What is the concrete-to-abstract method for math?
It teaches every idea in three steps. First the child holds a real amount using blocks or cubes they pick up and compare. Then they draw it. Only then do they write the symbol. The point is to build a felt sense of what a quantity is before asking the child to compute with a mark on paper.
My child still counts on fingers. Should I worry?
Fingers are fine early on if there is a plan to move beyond them. Counting on fingers well into the later grades is a signal to look closer, not proof of a condition. Rebuild fluency at the lowest step where it broke down, rather than at the current grade level.
Does teaching to my child’s learning style help with math?
No. Researchers tested learning styles in 2008 and found no evidence that matching teaching to a preferred style helps children learn, and a 2024 review confirmed it. Concrete-first teaching is different. It is one clear method that grounds every symbol in something real, and it works for every child rather than a chosen few.
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Your child is not "bad at math." They were handed the symbols before anything real to attach them to. The fix is what reading science already learned: concrete first, symbol last.

Math Is Taught Backwards, and That Is the Real Problem

Think about how a child learns to read. First there is the real dog they touched and heard bark. Then a picture of a dog. Only at the end do the letters d-o-g arrive, standing in for all of it. Concrete first, symbol last.

Math is usually taught the other way around. A child meets the symbols on the page with nothing underneath them. The marks are asked to carry meaning the child never got to build. No wonder the numbers slip away by the next week. The child is not failing at math. They are being asked to run before anyone let them stand.

The fix is a sequence teachers call concrete to representational to abstract. It grounds every idea in something real before the child writes a thing. That is also how strong number sense gets built.

In practice it looks like this:

  • Hold it: build the amount with blocks the child picks up and compares.
  • Draw it: sketch the same amount as simple, accurate marks.
  • Name it: only now bring in the written symbol.

A math struggle is rarely a broken math brain. Far more often it is a missing first step.

Laura Lurns · Learning Success expert
Give Numbers Something to Touch, and Math Starts to Make Sense

“Not a Math Person” Is a Belief, Not a Brain Scan

Somewhere along the way, a struggling child decides the problem is them. “I’m dumb. Something is wrong with me.” The culture nods along, because we still treat math as something you either have a brain for or you do not. That belief does real harm, and it is wrong.

Here is the correction. Some people say the answer is to teach to your child’s learning style. Researchers tested that idea in 2008 and found no evidence it helps children learn. A 2024 review confirmed it. Yet a study of educators across 18 countries found nearly 9 in 10 still believe it (Newton and Salvi, 2020). Concrete-first teaching is the opposite of matching a style. It is one clear method that works for every child at once.

So you do not need a label before you start. Genuine dyscalculia is real, partly inherited, and shows up as brain differences before school even begins. It affects roughly 3 to 7 children in 100, depending on where the line is drawn. But many children who struggle were handed the symbols too early. The same concrete-first teaching helps both groups. An overview of signs of dyscalculia by age makes the pattern easier to spot. A screener is a starting point, not a diagnosis. If your child might need formal accommodations, like an IEP or 504 plan, a professional evaluation is the route to those supports. The same holds if you suspect a vision, hearing, or medical cause.

Key takeaways

  1. Math is taught backwards: Symbols come before anything concrete, so the numbers never mean much.
  2. Concrete comes first: Build the amount with blocks, then draw it, then write the symbol.
  3. "Not a math person" is a belief: The struggle is usually a skipped step, not a fixed brain.

The System That Taught It Backwards Is Only Now Turning

This is bigger than one classroom. For years, reading was taught by having children guess words from pictures, until a national reckoning forced a change. Math is having the same reckoning now, a little later. Teaching straight to the abstract, with no concrete step, is the numeracy version of the same mistake.

The evidence is landing. The Grattan Institute’s 2025 report, “The Maths Guarantee,” found that one in three Australian students fails to reach math proficiency. In a survey of about 1,750 teachers and school leaders, fewer than half said the teachers in their school even agree on how math should be taught. New Zealand is rolling out structured numeracy for the same reason. The science was clear. The system that delivers it was slow.

It also explains the child who was “great at math” and then hit a wall. Memorizing rules works until there are too many rules to hold. Drilling harder does not fix a concept that was never built underneath. That is not your child hitting their ceiling. It is a foundation that was never poured, showing up years later. The countries that lead the world in math do not have smarter children. They teach the concrete step first, for everyone.

Teaching the way a child learns does not mean hunting for a learning style. It means concrete first, symbol last, for every child.

Laura Lurns · Learning Success expert

You want your child to see numbers as something they get to understand, not a wall they slam into. What stands in the way is rarely your child. It is a story handed to them early, that some people have a math brain and some do not, wrapped around a method that showed them symbols before anything real to attach them to. You are the one who gets to rewrite that. The people who spend the most hours watching your child struggle and then succeed are not the ones writing the textbooks. They are the ones reading this sentence.

The Brain Bloom System builds the underlying skills math runs on, from number sense to working memory to visual and spatial reasoning, so the practice you do at home has firm ground to stand on.

But a math struggle rarely travels alone. Many children who find numbers hard also show signs of trouble with working memory, attention, or reading. All Access maps the whole picture so you know what to build first, in the order that fits your child. Start the seven-day trial at learningsuccess.ai/all-access.

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A screener is a starting point, not a diagnosis. If your child might need formal accommodations (an IEP or 504 plan), or you suspect a vision, hearing or medical cause, pursue a professional evaluation too. That is the only route to those supports.

Laura Lurns · Learning Success expert Writes about the learning brain for parents who want plain answers. Every article is grounded in current neuroscience and classroom practice.