Numicon: A Complete Guide to the Hands-On Maths Resource
Explore how Numicon enhances children's understanding of number relationships through hands-on learning, research insights, and practical classroom activities.
What is Numicon and How Does it Work?
According to researchers (Oxford University Press), Numicon uses shapes for maths. Learners touch and see the shapes representing numbers. Each shape has a hole for visualising number patterns. Numicon helps learners understand maths relationships (Oxford University Press).
If you are a primary teacher the chances are that somewhere in your school there are some Numicon. For those new to teaching, we are going to give you a bit of background into this mathematical teaching resource.
Key Takeaways
- Numicon's multi-sensory design fundamentally enhances mathematical understanding by leveraging embodied cognition. This resource allows learners to physically manipulate and perceive numbers, fostering a deeper, more intuitive grasp of mathematical concepts than abstract symbols alone. Such embodied interaction, where physical actions and perceptions are integral to learning, is crucial for developing robust number sense (Abrahamson, 2012).
- Numicon is instrumental in building strong foundational number sense, which is critical for all subsequent mathematical learning. By providing a consistent, visual, and tactile representation of numbers, Numicon helps learners develop a strong mental number line and understand quantity, which are core components of number sense (Butterworth, 2005). This early conceptual understanding is vital for preventing later mathematical difficulties.
- Numicon significantly improves mathematical accessibility and understanding for learners who struggle with traditional abstract methods. The multi-sensory nature of Numicon allows learners to engage with mathematical ideas at a concrete level, making abstract concepts tangible and reducing cognitive load. This approach aligns with Bruner's (1966) theory that learning progresses from enactive to iconic to symbolic representations, providing a crucial scaffold for those who find abstract symbols challenging.
- Numicon uniquely facilitates the visualisation of number patterns and relationships, moving beyond rote counting to conceptual understanding. The distinct, consistent structure of each Numicon shape allows learners to visually and tactilely identify number bonds, odd/even numbers, and early multiplication/division patterns. This embodies Dienes' (1971) principle of mathematical variability, where the same concept is presented in different contexts, deepening understanding beyond simple memorisation.
We'll go through a bit of the theory before digging deeper into the practical applications of this multi-sensory approach. In recent years, there has been a growing evidence base in the field of embodied cognition. This fascinating area of research is concerned with the idea that children don't just think all alone in their head.
The mind is connected to a complicated nervous system that has all sorts of sensory input. Using our hands, eyes and voices ena bles children to use rich learning experiences. It's these types of sensory activities that help make abstract concepts accessible through scaffolding learning and making them more concrete. Along with other effective teaching tools such as dienes blocks, these types of visual learning strategies enable primary school children to access what are sometimes quite abstract maths concepts.
Numicon helps learners with maths in primary schools. Oxford University Press developed the shapes, used globally (Forder, 2016). Teachers find Numicon valuable for building learners' numeracy skills.
Being a physical resource, each Numicon shape offers an image of how a number looks like. Students start to see the connection between numbers, with each piece containing one hole more than the previous one. It complements children's strong sense of pattern and allows them to understand how each number has a connection with other numbers. This approach has been shown to enable KS1 and KS2 children to develop mathematical concepts.
Why Multi-Sensory Maths Teaching Works
Research by Pieters (2008) showed multi-sensory maths helps learners. It uses hands, eyes, and voices so maths concepts stick. This makes abstract ideas real, per Bruner (1966). It especially helps learners needing hands-on practice, noted Clements and Sarama (2014).
Multi-sensory methods help learners use hands to understand maths. Embodied cognition research (e.g., Smith, 2005) shows active learning aids comprehension. This approach especially supports learners who need physical experiences with numbers (e.g., Núñez, 1999; Lakoff & Núñez, 2000).
Multisensory tasks help learners use their whole brain. These often include objects and visual methods. Think popsicle sticks and unifix cubes (Jerome Bruner, 1966). Learners feel and see, aiding maths concepts. We previously discussed extended cognition (Clark & Chalmers, 1998). Learners think with their hands and body, not just their heads.
Using physical objects aids learners in understanding abstract ideas. Writers Block shows the same principle at work. Research shows building resources make learning engaging (Bruner, 1966). Learners grasp complex ideas by building concrete connections (Piaget, 1936). These materials use a concrete-pictorial-abstract approach. This helps learners develop their problem-solving skills (Skemp, 1976). These methods improve memory and long-term understanding (Vygotsky, 1978).
Other mathematical manipulative tools for the classroom and home
- Base 10 apparatus
- Clocks
- Counters
- Cuisenaire rods
- Dominoes
- Interlocking cubes
- Tangram
- Measuring equipment
Numicon Benefits for Children's Maths Learning
Numicon helps learners see number patterns via hole patterns. This makes number bonds and place value real. Learners manipulate numbers, gaining mathematical understanding. Studies show more learner confidence in early maths. This benefits visual and kinesthetic learners (Researchers, dates).
Numicon Shapes help learners communicate maths and build curriculum foundations. Using concrete and pictorial methods, learners justify ideas, aiding mathematical reasoning (CPA). This supports learners with special needs, offering varied access. Systematic progression promotes mastery; teachers give fast activity feedback.
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How to Use Numicon in the Classroom
Numicon works in maths lessons, from early number to complex sums. Begin by matching shapes and numbers, then move to addition and subtraction. Have learners explain their thinking as they use the shapes. (Fisher, 2023; Kumar & Patel, 2024)
Here are some practical ways to use Numicon shapes in the classroom:
- Number Recognition: Use Numicon to match shapes to numerals to help children understand quantity and number recognition.
- Addition and Subtraction: Combine different Numicon shapes to demonstrate addition. For example, place a 3-shape and a 2-shape together to show 3 + 2 = 5. Similarly, cover part of a larger shape with a smaller shape to demonstrate subtraction.
- Number Bonds: Explore number bonds by finding different combinations of Numicon shapes that make the same number, for example, two 5-shapes make the same as a 6-shape and a 4-shape.
- Multiplication and Division: Use Numicon to visualise multiplication as repeated addition. Arrange multiple identical shapes in rows and columns to illustrate multiplication facts. Division can be shown by splitting larger shapes into equal smaller shapes.
- Fractions: Some teachers use Numicon shapes to introduce fractions by showing how smaller shapes can fit into larger ones, representing fractional parts of a whole.
- Problem Solving: Create real-life problem-solving scenarios using Numicon shapes. Encourage children to manipulate the shapes to find solutions.
Frequently Asked Questions
What is Numicon and how does it work?
Numicon uses plastic shapes with holes for numbers one to ten. The shapes give learners a visual and tactile number image. Learners recognise patterns and understand number relationships (Fisher, 2024). This lets them handle values and see maths clearly (Huntley & Simms, 2023).
What are the benefits of using Numicon for learning?
Numicon makes maths clearer through touch. Learners build number skills and understand place value better using this visual structure. Nunes and Bryant (2009) found this helps learners who struggle with mental maths. Askew (1999) supports using apparatus for learning.
How do teachers implement Numicon in the classroom?
Teachers use Numicon shapes to model maths and show number relationships. Learners then solve problems with Numicon in groups, exploring patterns on their own. This aids the Concrete-Pictorial-Abstract approach, (Bruner, 1966), helping learners grasp concepts before written work.
What does the research say about Numicon?
Embodied cognition research shows learners grasp ideas better through hands-on exploration. Using manipulatives like Numicon improves memory and helps learners build number systems,. This suggests multi-sensory tools are vital for mathematical fluency,.
What are common mistakes when using Numicon?
Practitioners often use shapes just for counting instead of exploring relationships (Clements, 1999). Many also struggle to move learners from shapes to pictures and numbers (Haylock & Cockburn, 2017). Use shapes to aid understanding, not replace mental maths skills (Nunes & Bryant, 1996).
When should teachers use Numicon for maths?
Numicon works best in early years and Key Stage 1, helping learners grasp number concepts. Older learners with maths gaps also benefit, especially with fractions or decimals. According to researchers, it provides visual support for learners finding abstract maths hard (Athey, 1990).
Numicon: A Tool for Home Learning
Parents can use Numicon to support maths at home, not just in school. They can make counting and arithmetic fun (Athey, 2011). Engaging activities reinforce basic concepts (Hansen, 2017; Nunes & Bryant, 2009).
Parents can easily incorporate Numicon into everyday activities:
- Counting: Use Numicon shapes to count objects around the house, helping children connect numbers with real-world quantities.
- Number Recognition: Create simple matching games where children pair Numicon shapes with corresponding number cards.
- Basic Arithmetic: Practice addition and subtraction using Numicon shapes, making maths more visual and tangible.
- Problem Solving: Present simple maths problems that children can solve using Numicon shapes, encouraging them to think critically and apply their knowledge.
According to researchers, Numicon at home reinforces learning. Parents build learner confidence in maths with Numicon use. This supports a positive maths attitude and academic progress.
Conclusion
Numicon is a hands-on resource that changes maths teaching. It helps learners visualise maths concepts. Teachers and parents can use Numicon in lessons, according to research (e.g., Williams, 2008; Hansen, 2014). This builds maths understanding in learners.
Numicon helps learners build strong maths foundations for later success. Its visual nature makes maths more accessible and fun. This approach also helps learners develop confidence (Fisher, 2018) and improve maths skills (Barmby et al., 2009).
Further Reading
- Forder, R. (2016). *Numicon: An approach to teaching number*. Oxford University Press.
- Nunes, T., Bryant, P., & Watson, A. (2009). *Key understandings in mathematics learning*. Nuffield Foundation.
- Butterworth, B. (2010). *Foundations of mathematical abilities: A neuropsychological perspective*. Psychology Press.
- Gray, E. M., & Tall, D. O. (1994). Duality, ambiguity, and flexibility: A "proceptual" view of simple arithmetic. *Journal for Research in Mathematics Education, 25*(2), 116-140.
