Dyscalculia: Signs by Age and How to Support a Child with Maths

Plenty of children say they are “rubbish at maths”. Most of them are not. They have gaps, or they are anxious, or they were taught a topic too fast. A smaller group of children have a specific, persistent difficulty with number itself. That is dyscalculia, and it needs a different kind of patience.

What dyscalculia is

Dyscalculia is a specific learning difficulty, in the same family as dyslexia. The SpLD Assessment Standards Committee (SASC), which sets standards for specialist assessors in the UK, published an updated definition in 2025. It describes dyscalculia as “a set of processing difficulties that affects the acquisition of arithmetic”. The British Dyslexia Association, which hosts that definition, explains the core problem as a pronounced and persistent difficulty with processing numerical magnitude, meaning the sense of how big a number is, which then shows up in things like estimating and place value.

Brian Butterworth, Sashank Varma and Diana Laurillard, writing in Science in 2011, estimated that dyscalculia affects roughly 3 to 6% of the population. That is similar to some estimates for dyslexia, although dyscalculia is far less widely recognised.

It sits on a spectrum. There is no single test result that separates “dyscalculic” from “not dyscalculic”, and many children have some features without a formal diagnosis. It also often overlaps with other needs, including dyslexia, ADHD and developmental language disorder.

Dyscalculia or maths difficulty?

Lots of things can make maths hard. Missed schooling, weak teaching of one topic, poor working memory, language difficulties and maths anxiety can all hold a child back. These are real and they deserve support, but they are not the same as dyscalculia.

The distinguishing feature is that the difficulty is with basic number sense, and it persists even with good teaching and extra practice. A child who struggles with fractions but has a solid feel for whole numbers is in a different position from a child who, at nine, still cannot tell at a glance whether 31 or 13 is bigger.

Maths anxiety is worth a separate mention, because it can look similar and often grows alongside dyscalculia. A child who has failed repeatedly will start to dread maths, and dread uses up the working memory they need to calculate. Supporting the anxiety does not cure the underlying difficulty, but it removes one layer of the problem.

Signs to look for at different ages

These are signs worth noticing, not a checklist for diagnosis. Every child develops at their own pace, and one sign on its own means very little.

Early years and Key Stage 1 (around ages 3 to 7)

• Difficulty learning to count in order, or losing track when counting objects.
• Not recognising small quantities at a glance (seeing three dots and knowing it is three without counting).
• Difficulty linking a numeral, such as 5, to the word “five” and to a group of five things.
• Trouble comparing sizes of groups or numbers: which is more, which is less.
• Struggling with patterns and sequences long after classmates have picked them up.

Key Stage 2 (around ages 7 to 11)

• Still counting on fingers for simple addition when peers have moved to recalling facts.
• Weak grasp of place value, so 304 and 34 are easily confused.
• Learning a method one day and losing it completely the next.
• Difficulty estimating, so wildly wrong answers do not seem wrong.
• Problems with telling the time, handling money or reading scales.
• Very slow work in maths compared with other subjects.

Secondary school and beyond

• Persistent difficulty with mental arithmetic and times tables.
• Avoiding maths, or strong anxiety around it.
• Difficulty with everyday number tasks such as budgeting, timetables or measuring.
• Relying on memorised procedures without understanding why they work, so a small change in a question causes confusion.

If a child is showing several of these over time, despite good teaching, it is worth raising with the class teacher or SENCO.

Concrete, pictorial, abstract

The approach most often recommended for children with dyscalculia is to move through three stages, known as concrete, pictorial and abstract, or CPA. It draws on the psychologist Jerome Bruner, who described three ways of representing knowledge in Toward a Theory of Instruction (1966): through action, through images and through symbols. The Education Endowment Foundation’s 2017 guidance on Improving Mathematics in Key Stages 2 and 3 recommends using manipulatives and representations to build understanding, and the CPA sequence is a widely used way of doing that.

Concrete

The child handles real objects. Counters, cubes, bead strings, Numicon shapes, Dienes (base 10) blocks, coins and fraction pieces all help. To add 23 and 14, the child builds both numbers with tens rods and ones cubes, then puts them together and counts.

The point is to feel the quantities. Ten cubes snapped together really are the same as one rod, and a child can check that for themselves.

Pictorial

Next, the child draws or sees pictures of what they did with the objects. Dots, tally marks, bar models, number lines and simple sketches of tens and ones all count. The picture is a bridge. It keeps the meaning of the objects while getting the child closer to writing numbers.

Abstract

Finally, the child works with numerals and symbols alone: 23 + 14 = 37. For many children this is where maths lessons start. For a child with dyscalculia, it should come last, and adults should be ready to go back to objects or pictures whenever understanding wobbles.

These stages are not a ladder you climb once. Most learners move back and forth. Returning to cubes in Year 6 is sensible teaching, not a step backwards.

Practical support at school

• Teach fewer things more deeply. Secure understanding of one idea before adding the next.
• Keep the same models and language across year groups, so a bar model in Year 3 looks the same in Year 7.
• Allow aids: number lines, hundred squares, multiplication grids and calculators where the goal of the task is reasoning, not recall.
• Reduce load on working memory by giving written steps, worked examples and space to jot. Our piece on cognitive load theory explains why this helps.
• Little and often beats long sessions. Ten focused minutes most days is usually better than one long weekly intervention.
• Check understanding, not just answers. Ask the child to show you with objects or a drawing.

Support for dyscalculia should follow the cycle of assess, plan, do and review that is described in our guide to SEN support and the graduated approach. A formal diagnosis is not required for a child to receive help.

At home

You do not need to be confident at maths yourself.

Play games with dice, dominoes and cards. Snakes and ladders, for instance, involves counting on, recognising dot patterns and comparing positions. Cook together and talk about quantities. Let your child pay at the shop and count change. Talk about time in concrete terms: “We leave when the big hand is on the six.”

Be careful with your own words too. Saying “I was never any good at maths either” is kind, but it can suggest maths ability is fixed. Children who are struggling sometimes start to believe they are stupid, and our article on when your child says “I’m stupid” has ideas for those conversations.

Getting an assessment

Start with the class teacher and the SENCO. The school can look at your child’s progress, try targeted support and, if difficulties persist, discuss whether a specialist assessment would be useful. Diagnostic assessments for dyscalculia are carried out by educational psychologists or specialist teachers with an assessment qualification. Availability through schools varies, and some families choose a private assessment.

If your child is very distressed about maths or school more generally, talk to your GP as well. Anxiety deserves attention in its own right.

Further reading

• British Dyslexia Association. SASC definition of a specific learning difficulty in mathematics (2025). bdadyslexia.org.uk.
• Bruner, J. S. (1966). Toward a Theory of Instruction. Harvard University Press.
• Butterworth, B. (2019). Dyscalculia: From Science to Education. Routledge.
• Butterworth, B., Varma, S. and Laurillard, D. (2011). Dyscalculia: from brain to education. Science, 332(6033), 1049-1053.
• Education Endowment Foundation (2017). Improving Mathematics in Key Stages 2 and 3. Guidance report.

Cover image: Photo by Eric Tompkins on Unsplash.