Your Child Doesn’t Need More Math Drills. They Need to Know What the Numbers Mean.
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You have tried the flashcards. You have tried the app with the friendly cartoon and the streak counter. You sit at the table every night and run the times tables again, and by morning the same wall is back. Your child counts on their fingers for sums they seemed to own last week, and somewhere in there you start to wonder if something is wrong with them. Nothing is wrong with your child. Their brain is building math differently, and the piece that actually needed your attention is not the piece you have been drilling.
TL;DR
The core difficulty in dyscalculia is connecting a symbol such as 19 to the quantity it represents, not slow recall, so drilling speed misses the real gap.
Researchers Karagiannakis and Noël found no significant link between dot-spotting or quick-magnitude number-sense tasks and actual math achievement across four groups of children.
The number-line task, placing a number on a blank 0-to-100 line, is one of the strongest predictors of math ability and works as a free home activity at any age.
Reasoning out facts beats rote drilling for children whose memory or attention is the weak link, because drilling overloads the system that already struggles.
Difficulty with math says nothing about intelligence; the brain rewires with the right practice, and a screener is a starting point rather than a diagnosis.
FROM THE VIDEO
Key moments from Dyscalculia Tools and Techniques for Educators with Giannis Karagiannakis and Marie-Pascale Noël:
How to use a number line at home, at any age, to build the skill that predicts math growth. Watch at 22:25
Why the researchers are not convinced popular number-sense drills move real math. Watch at 23:43
A mathematician who never memorized the times tables on why reasoning beats drilling. Watch at 33:02
Common questions from parents
Is my child struggling with math, or could it be dyscalculia?
Most children find some math hard, and that alone is not dyscalculia. The pattern worth a closer look is persistent trouble connecting numbers to quantities: counting on fingers long after peers stop, no sense of which number is bigger, or losing skills that seemed solid a week ago. If that picture fits, a screener helps you see where the foundation cracked, and a professional evaluation confirms a diagnosis if one is needed.
Do number-sense apps help a child who struggles with math?
They feel like progress, but the evidence is thin. Researchers Karagiannakis and Noël found no significant link between dot-spotting and quick-magnitude tasks and actual math achievement across four groups of children. A child improves at the game without improving at math. Time is better spent on the number line and on connecting symbols to the quantities they stand for.
My child struggles to memorize the times tables. What should we do instead?
Build reasoning rather than forcing recall. A fact like six times eight comes from six times four, doubled. For a child whose memory or attention is the weak link, drilling facts overloads the system that already struggles, while deriving facts through reasoning gives them a route that holds. Memory often follows once the understanding is solid.
How do I get my child screened for dyscalculia?
Start with a parent screener to map where the difficulty sits, then bring that picture to your school or a specialist. A screener is a starting point, not a diagnosis. If your child might need formal accommodations such as an IEP or 504 plan, or you suspect a vision, hearing, or medical cause, pursue a professional evaluation too, because that is the only route to those supports.
When a child stalls in math, the instinct is to push forward: next chapter, next worksheet, more repetition. Neuropsychologist Marie-Pascale Noël and math-difficulties researcher Giannis Karagiannakis, authors of Effective Teaching Strategies for Dyscalculia and Learning Difficulties in Mathematics, describe math as a castle of cards. Each layer rests on the one beneath it. Children who struggle with math almost always have a crack in the bottom row, so every new layer you stack on top slides off. Going back to the foundation is not falling behind. It is the only move that holds.
And the foundation is more specific than most drills assume. The difficulty at the heart of dyscalculia is connecting a symbol to the size it stands for: knowing that the numeral 19, the word nineteen, and a pile of nineteen things are the same idea, then carrying that meaning into fractions, decimals, and the vocabulary of operations. A child recites seven times eight and still has no felt sense of how big that answer is. Speed was never the foundation. Meaning is.
Author Quote"
A child recites seven times eight and still has no felt sense of how big that answer is. Speed was never the foundation. Meaning is.
"
Laura LurnsLearning Success Expert
"How accurately a child places a number on a blank 0-to-100 line is one of the strongest single predictors of their later math achievement." - Robert Siegler, number-line estimation research
The drill that feels like progress, and the one that predicts it
Walk through any app store and you will find number sense games that promise to fix math: flash a cluster of dots, tap the bigger pile, beat the timer. The pull is real, because watching a child get better at the game feels like watching them get better at math. Karagiannakis and Noël put that assumption to the test. Across four separate groups of children, they found no significant link between performance on these quick-magnitude and dot-spotting tasks and how children actually did in math. Part of the trouble is that the tasks quietly measure other things, such as how large the dots are, how crowded, how dark, so a child looks behind on number sense for reasons that have nothing to do with number.
What does track with math growth is quieter and free. The number-line task, placing a number where it belongs on a blank line marked only 0 and 100, is one of the strongest predictors of math ability researchers have found, in studies running to thousands of children. It works because it forces the one connection that matters: this symbol, this distance, this size. Build it at the kitchen table tonight. Start with 0 to 10 for a younger child, move to 0 to 100, then 0 to 1000, then fractions. Ask where one-half lands. Ask your child to cut the line into quarters. You are building the exact skill the flashcards skip.
Key Takeaways:
1
It was never about speed: Dyscalculia is trouble linking a symbol to the quantity it means, not slow recall.
2
The free tool that predicts math: Placing a number on a blank line builds the symbol-to-size link better than flashcards.
3
Reasoning over rote: For kids with weak memory, drilling facts overloads the system that already struggles.
Reasoning sticks where memorizing slips
Here is the part that reframes everything. Giannis Karagiannakis is a working mathematician who is also dyslexic and finds rote memory hard. He never learned the times tables by heart. He reasons them out: six times eight is six times four, doubled. For a child whose memory or attention is the weak link, drilling facts hammers on the exact system least able to hold them, while the reasoning that could carry the load goes unbuilt. Noël and Karagiannakis are blunt about why this keeps happening: many special-education teachers are uneasy with math themselves and fall back on repeating the procedure, louder and slower, instead of teaching a child to think their way through. That is a training gap, not a verdict on your child.
It is also why bad at math is such a costly label. One adult the researchers describe spent forty years being told she was stupid; testing showed an ordinary IQ and a specific, severe difficulty with numbers. Math struggle and intelligence were never the same wiring, which is why the International Dyslexia Association’s current framing dropped the old IQ-gap requirement. The brain that finds math hard today is not the brain your child is stuck with; with the right kind of practice, those pathways change. If you want a clearer picture of where the foundation cracked, a parent dyscalculia screener is a useful place to begin. A screener is a starting point, not a diagnosis. If your child might need formal accommodations such as an IEP or 504 plan, or you suspect a vision, hearing, or medical cause, pursue a professional evaluation too, because that is the only route to those supports.
Author Quote"
The brain that finds math hard today is not the brain your child is stuck with.
"
You want your child to walk into a math class without their stomach dropping, to keep the doors open that math quietly guards: the science classes, the budgets, the careers nobody warns you depend on it. What blocks that is rarely your child. It is a system that meets a struggling learner with the same procedure, repeated louder, and calls it intervention, while the reasoning that would actually help goes untaught. You are the one who changes the script at home, and you do not need a math degree to do it. You need the right next step. Our Brain Bloom program builds the underlying number and reasoning skills the drills skip, in short sessions a parent leads. And math struggle rarely travels alone. Most children who find numbers hard also wrestle with working memory, attention, or the language side of learning, and chasing each one separately wears everyone out. All Access gives you the full toolkit, so you are building the whole child instead of patching one subject at a time.
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