Summary
One of the first mathematical skills that young children start to explore is doubling, which is adding a number to itself, like 3 + 3 or 5 + 5.
At first glance, doubling might seem straightforward. But beneath this simple idea lies a strong foundation for future maths learning. Doubling helps children, including those with dyscalculia, build number sense, understand patterns, and develop confidence in problem-solving.
Why is ‘doubling’ important?
Research shows that doubling is a gateway skill. It helps children connect different areas of maths and use strategies flexibly:
- Multiplication and division: Doubling is essentially multiplying by 2, which supports times tables and repeated addition.
- Fractions and halving: If children know double 6 is 12, they can reason that half of 12 is 6.
- Pattern recognition: Doubling reveals even numbers, sequences, and growth patterns.
- Confidence in mental maths: Doubling facts provide children with a bank of reliable knowledge to draw on when tackling more complex problems
As maths educator Richard Skemp highlighted, children thrive when they develop relational understanding and see or experience how ideas are connected – rather than just learning by rote. Doubling is a perfect example of this.
For children with dyscalculia or other maths difficulties, doubling can act as an anchor. It provides repeated, consistent experiences of “two of the same,” which makes numbers feel more secure and predictable. As Professor Steve Chinn notes, anchoring number facts in patterns and relationships, rather than isolated recall, reduces anxiety and supports long-term understanding.
How children learn:
As children learn, they progress through various stages, each supported by different kinds of experiences.
1. Concrete Stage
Children first learn doubling by doing. They use real objects like blocks, toys, or snacks to make two equal groups and combine them. Research tells us that young children learn best through hands-on experiences, and that this physical element of learning is important before moving to abstract ideas.
For learners with dyscalculia, this step is essential rather than optional – handling objects and physically making doubles gives them the strongest route into understanding.
2. Pictorial Stage
Next, children use pictures and visual models – dominoes, drawings, or number lines – to see doubling without needing real objects. These visual approaches are vital for learners with maths difficulties, such as dyscalculia. Visual approaches also reduce the load on working memory and allow children to “see the maths.” Leading experts in dyscalculia, Professor Steve Chinn and Judy Hornigold, both emphasise that multiple representations give learners more chances to make sense of a concept.
For older learners, Cuisenaire rods or Dienes blocks are excellent resources to help learners see doubles up to 20 clearly. Rods provide a visual “length model,” making it easy to see that double 7 is the same as a rod of 14. Dienes blocks can extend this further into the tens, hundreds, and beyond, helping children visualise doubling larger numbers. These manipulatives also support connections to place value.
The ‘Visualise-Verbalise’ approach is also particularly powerful here: encourage children to say what they see (“I see two groups of 6, that makes 12”) and then visualise what they say. This dual coding – linking imagery and language – strengthens memory pathways and makes it easier to recall facts later.
3. Symbolic Stage
Children then begin to use ‘abstract’ mathematical numbers and symbols (e.g. “4 + 4 = 8” or “2 × 4 = 8”) to show their understanding.
Dyscalculic learners may need to move back and forth between symbolic and pictorial representations, rather than progressing in a straight line. This flexible movement should be encouraged.
Discussing the patterns in doubles (e.g. “Why do all doubles make even numbers?” or “Notice how doubling numbers ending in 5 always gives an answer ending in 0”) can help to deepen understanding and helps learners generalise beyond individual facts.
4. Automatic Recall
With practice, children can eventually memorise doubles (double 5 is 10, double 10 is 20). These become “known facts” that can be recalled instantly. “Known facts” are useful as they help to free up working memory.
For dyscalculic learners, automatic recall often takes longer. Using rhythm, chanting, songs, or games can help, but it’s important to value understanding and strategy over pure memorisation.
5. Extended Application
Older children can apply their doubling knowledge to new mathematical learning and problem solving, such as doubling larger numbers, decimals, or money amounts. They can also understand the inverse – halving. This flexibility shows a deep mathematical understanding and prepares children for algebra and secondary maths.
For children with maths difficulties, having a reliable doubling strategy helps build confidence when tackling trickier concepts like fractions, percentages, or algebra.
Helping at home:
Activities for younger children:
Practical and playful activities make doubling meaningful. You could use lego, counters, or even snacks to make patterns as you explore questions such as “If we have 3 and double it, how many do we have now?”
A mirror is a great visual and tactile way to explore doubling as children can see items being doubled.
You could have a doubling craft session, using our free butterfly or ladybird templates…just paint some spots on one half of the picture, fold the paper in half and then unfold to reveal the ‘doubled’ amount!
These kinds of visual and tactile strategies or activities are particularly effective for dyscalculic learners, as they reinforce number concepts without relying solely on memory.
Here are the links to the free printable worksheets – Doubling butterfly.pdf and Doubling ladybird.pdf
Activities for older children:
For older learners, doubling can be made into more challenging games, such as rolling dice and doubling the total. You could start with two dice and add more as you gain confidence or even make your own doubling board game! Be sure to send us pictures, we’d love to see your designs!
You could play “double snap” with cards. Shuffle the deck and deal all the cards evenly between players. Each player keeps their pile face down in front of them. Then players take turns to flip one card from the top of their pile into a central pile in the middle, face up. If this card is double (or half) of the previous card, players shout “DOUBLE SNAP” and take the pile (for example, if a three [3] has been played and the next player puts down a six [6])
Games are not just fun – they help dyscalculic learners practise without the pressure of “getting it right first time,” and they provide repetition in a low-stress way.
In summary: Doubling is not just a basic maths skill – it’s a skill that links operations, fractions, and patterns. For children with dyscalculia, doubling activities can reduce anxiety, strengthen number sense, and provide a reliable strategy to lean on as maths becomes more complex.
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