Understanding Dyscalculia
Dyscalculia is a specific learning difficulty that affects the ability to acquire and use mathematical skills. Pupils with dyscalculia may struggle with number sense, counting, place value, arithmetic operations, mathematical reasoning and working memory for number. It is not caused by a lack of effort or poor teaching.
Dyscalculia frequently co-occurs with other learning difficulties such as dyslexia, and is often accompanied by significant maths anxiety. Effective support addresses both the cognitive barriers and the emotional impact of persistent difficulty with mathematics.
The CPA Approach (Concrete, Pictorial, Abstract)
The CPA approach, widely supported by research, ensures pupils build understanding through hands-on experience before moving to visual representations and then abstract symbols. Pupils with dyscalculia often need to remain at the concrete and pictorial stages for longer than their peers.
- Concrete: use physical manipulatives such as Cuisenaire rods, Numicon, base-ten blocks, counters and bead strings
- Pictorial: use bar models, number lines, arrays, part-whole models and diagrams
- Abstract: introduce symbols and written calculations only when the pupil has secure understanding at earlier stages
- Allow pupils to move back to concrete resources at any time, even for concepts they appeared to have grasped
- Do not rush the transition from one stage to the next
- Use the same manipulatives consistently so the pupil becomes fluent with them
Building Number Sense
Number sense is the intuitive understanding of what numbers mean and how they relate to each other. Pupils with dyscalculia often have weak number sense, which affects everything else in mathematics. Targeted activities can strengthen this over time.
- Use structured apparatus (such as Numicon or tens frames) to develop understanding of quantity
- Practise subitising (recognising small quantities without counting) regularly
- Use number lines to develop understanding of number position and magnitude
- Explore estimation activities to build a sense of "how many" and "how much"
- Compare and order numbers using concrete resources before abstract tasks
- Use real-life contexts to give numbers meaning (money, time, measurement)
- Play number games that develop fluency without time pressure
- Revisit earlier number concepts regularly; do not assume they are secure
Reducing Maths Anxiety
Many pupils with dyscalculia develop significant anxiety around mathematics. This anxiety further impairs working memory and performance, creating a cycle of difficulty and avoidance. Breaking this cycle requires deliberate attention to the emotional environment.
- Praise effort, persistence and strategy use rather than speed or correct answers
- Avoid timed tests and competitive activities that create pressure
- Normalise mistakes as part of learning; model making and correcting errors yourself
- Provide a private, low-pressure way for the pupil to ask for help
- Avoid asking the pupil to answer in front of the class unless they volunteer
- Start tasks with something the pupil can succeed at to build confidence
- Use growth mindset language around mathematics
- Acknowledge that maths is genuinely harder for this pupil and validate their frustration
Teaching Strategies and Scaffolding
Effective teaching for pupils with dyscalculia involves explicit instruction, careful scaffolding and systematic building of understanding from secure foundations.
- Teach one concept at a time; avoid introducing too many ideas in a single lesson
- Use worked examples and model each step explicitly
- Provide step-by-step procedures with visual prompts the pupil can refer back to
- Build in regular, spaced review of previous learning to support retention
- Pre-teach key vocabulary before new topics
- Make mathematical language explicit; do not assume understanding of terms
- Chunk tasks into smaller steps with clear success criteria for each
- Connect new learning to prior knowledge and real-world experience
- Allow the pupil to use a calculator when the learning objective is not basic computation
- Provide reference materials such as number squares, multiplication grids and prompt cards
Assistive Tools and Resources
The right tools and resources can reduce unnecessary cognitive load and allow the pupil to focus on the mathematical concepts being taught.
- Provide manipulatives for every lesson, not just as a last resort
- Use graph paper or squared paper to support number alignment and place value
- Allow access to a calculator for multi-step problems when appropriate
- Provide number lines, hundred squares and multiplication grids as permanent desk resources
- Use colour coding to distinguish operations, place value columns or steps
- Provide enlarged worksheets with clear spacing and uncluttered layout
- Use assistive technology and maths apps that provide visual, interactive practice
- Offer alternative recording methods such as verbal explanations, diagrams or photographs