Let’s Visit Numberland: An Early Years Maths Approach
Introduction to Numberland: A Journey into Early Mathematics
Let’s Visit Numberland is an approach to Early Years maths, created by Dr. Gerhard Friedrich in 2000, and was field-tested by 2004. Since then, Numberland has been developed and honed by Barbara Schindelhauer to be used in Early Years settings and classrooms worldwide. It offers a unique method for teaching early mathematical concepts to children aged 3-7 years.
Key features of Numberland:
- Uses playful learning to engage young children
- Creates an imaginative environment to bring numbers to life
- Incorporates storytelling and role-play to make maths meaningful
Numberland transforms abstract mathematical ideas into tangible experiences. It includes elements such as Number Gardens and Number Puppets, which help children explore mathematical concepts through play.
This approach aligns with child development theories, recognising the importance of hands-on, imaginative learning in early years. Research shows Numberland produces improved mathematical understanding in young children.
Early Years professionals and educators find Numberland a valuable tool for creating engaging maths experiences. It offers a framework for integrating mathematical learning into daily activities, supporting children’s natural curiosity about numbers and shapes.
By exploring Numberland, practitioners can enhance their early maths provision, making abstract concepts accessible and enjoyable for young learners. This article provides an in-depth look at the Numberland approach, its implementation, and its benefits for early years maths education. Discover how Numberland can enrich your early years setting. Read on to explore its components, implementation strategies, and research-backed benefits.
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Discover the magic of mathematics with Numberland. This course offers a deep exploration of this playful, research-backed approach. With essential insights into creating engaging experiences for 3-7 year olds, fostering number sense and early mathematical thinking through imaginative play.
You’ll develop a deeper understanding of early mathematical cognition and acquire practical strategies to create immersive, playful learning environments.
The Philosophy Behind Numberland
Child-Centred Approach to Mathematics
Numberland places children at the heart of mathematical discovery. It recognises that young learners thrive when concepts are presented in ways that resonate with their world view.
Key aspects of this approach:
- Numbers become living characters with personalities
- Mathematical concepts are explored through play and imagination
- Children construct their own understanding at their own pace
Numberland embodies its child-centred philosophy through its Number Puppets and Gardens. Each number is personified, allowing children to form emotional connections with abstract concepts. For instance, Number Two might wear glasses and always say things twice, making the concept of ‘two-ness’ tangible and memorable for young learners.
Integration of Play, Storytelling, and Active Learning
Numberland weaves mathematical concepts into engaging narratives and physical activities. This multi-sensory approach caters to diverse learning styles and keeps children enthusiastic about maths.
Core elements:
- Number tales that embed mathematical ideas in stories
- Songs and rhymes that reinforce number concepts
- Physical games on ‘Number Lane’ for embodied learning
Numberland integrates its key components seamlessly. The Number Lane, for example, isn’t just a visual tool but becomes a physical path children walk on, reinforcing number order through whole-body experiences. Number Houses and Towers provide hands-on exploration of quantity, allowing children to physically build and decompose numbers.
Alignment with Developmental Psychology and Neuroscience
Numberland’s design reflects current understanding of child development and brain function. It capitalises on young children’s natural tendencies and cognitive abilities.
Key alignments:
- Utilises children’s animistic thinking to make numbers relatable
- Supports episodic memory formation through concrete experiences
- Engages multiple senses to strengthen neural connections
Practical implementation:
Incorporate regular ‘Number Walks’ in your setting. Encourage children to spot numbers in the environment and relate them to their Numberland characters. This reinforces learning and helps children see maths in the real world.
Friedrich and Galgoczy (2004) emphasise the importance of creating emotional connections to mathematical concepts. Numberland achieves this by turning abstract numbers into friendly characters that children can relate to and interact with.
By embracing Numberland’s philosophy, Early Years professionals create a rich, engaging mathematical environment. This approach lays a strong foundation for future learning, fostering both competence and confidence in young mathematicians.
Remember, consistency is key. Regular, short Numberland sessions integrated throughout the day yield better results than occasional, lengthy focus times. Start small, perhaps with just Numbers 1-3, and gradually expand as children’s understanding grows.
Numberland’s design aligns with developmental principles by catering to children’s natural tendencies. For example, it taps into young children’s animistic thinking by giving numbers personalities, making abstract concepts more relatable. The multisensory approach, such as combining visual Number Gardens with auditory Number Songs, supports the formation of strong neural connections, enhancing learning and memory retention.
Key Components of Numberland
Numberland consists of several interconnected elements that work together to create a rich mathematical environment. Each component serves specific learning purposes while maintaining a playful, engaging atmosphere.
Number Gardens and Number Puppets
Number Gardens form the core of Numberland. Each number has its own garden, shaped to reflect the number’s properties. Number Puppets bring these abstract concepts to life.
Key features:
- Gardens shaped as geometric figures (e.g., triangle for Three, square for Four)
- Number Puppets with distinct personalities and physical characteristics
- Opportunities for hands-on exploration and imaginative play
Number One, for instance, has a circular garden and wears a pointed hat. This visual and tactile representation helps children grasp the concept of ‘oneness’ (Friedrich & Schindelhauer, 2005).
Number Houses and Number Towers
Number Houses and Towers provide concrete representations of numeric values and relationships.
Key aspects:
- Houses with windows representing the number’s value
- Towers made of stackable, colour-coded blocks
- Tools for exploring composition and decomposition of numbers
These components support children’s understanding of cardinality and part-whole relationships. They offer tactile experiences that reinforce abstract concepts.
Number Lane
Number Lane brings the number line to life, allowing for physical exploration of numeric order and relationships.
Key features:
- Physical path with numbered stepping stones
- Tool for exploring concepts like ‘more than’ and ‘less than’
- Opportunity for active, whole-body learning
Number Lane activities support children’s understanding of ordinality and relative number positions. It’s particularly effective for kinaesthetic learners.
You could create a temporary Number Lane using chalk in your outdoor area. Incorporate it into daily routines, such as lining up or transition times, to reinforce numeric concepts throughout the day.
Number Tales and Songs
Stories and music play a crucial role in Numberland, embedding mathematical concepts in memorable, enjoyable experiences.
Key elements:
- Character-driven stories featuring each number
- Songs with rhythms and lyrics that reinforce number properties
- Opportunities for language development alongside mathematical learning
Friedrich and Galgoczy (2004) note that these narrative and musical elements help create emotional connections to mathematical concepts, enhancing memory and understanding.
Numberland’s components work synergistically to create a multi-sensory learning environment. They cater to different learning styles and developmental stages, ensuring all children can engage meaningfully with early mathematical concepts.
By incorporating these elements into your Early Years setting, you create a rich, immersive mathematical world. This approach not only teaches number skills but also fosters a positive attitude towards mathematics from an early age.
Mathematical Concepts Addressed
Numberland provides a comprehensive foundation for early mathematical understanding. It addresses key concepts through playful, concrete experiences that resonate with young learners.
Cardinal and Ordinal Aspects of Numbers
Numberland tackles both ‘how many’ (cardinal) and ‘which position’ (ordinal) aspects of numbers.
Key approaches:
- Number Gardens represent cardinality through objects and decorations
- Number Lane explores ordinality through physical positioning
- Number Puppets embody both aspects in their characteristics
Children grasp these concepts by interacting with the Numberland environment. For example, they might count objects in Number Four’s garden (cardinal) and then locate Four on Number Lane (ordinal).
Geometric Shapes and Spatial Awareness
Geometry is woven into the fabric of Numberland through the design of Number Gardens and Houses.
Core elements:
- Gardens shaped as regular polygons (triangle, square, pentagon, etc.)
- Number Houses with different architectural features
- Opportunities for shape exploration and construction
These elements support children’s developing spatial awareness and geometric understanding. Friedrich and Bordihn (2003) highlight how this integration helps children connect numbers with their geometric representations.
Numberland addresses complex mathematical concepts through play. For instance, children explore part-whole relationships by ‘planting’ different combinations of flowers in Number Five’s pentagonal garden. Geometric shapes are experienced as the children move through differently shaped Number Gardens, physically embodying the properties of circles, triangles, and squares.
Set Theory and Part-Whole Relationships
Numberland introduces early concepts of set theory and part-whole relationships through hands-on activities.
Key approaches:
- Sorting objects into Number Gardens based on quantity
- Using Number Towers to explore number composition
- Playing games that involve grouping and regrouping objects
These activities lay the groundwork for understanding more complex mathematical concepts later on.
Early Addition and Subtraction
Numberland provides a concrete foundation for early arithmetic operations.
Core strategies:
- Combining objects from different Number Gardens
- Using Number Towers to visualise adding and taking away
- Storytelling that incorporates simple arithmetic scenarios
By framing addition and subtraction within the familiar Numberland context, children develop a intuitive understanding of these operations.
Numberland’s approach to these mathematical concepts aligns with research on early numeracy development. Krajewski and Schneider (2009) emphasise the importance of linking quantity, counting, and arithmetic in early mathematics education, which Numberland achieves through its integrated approach.
By addressing these fundamental mathematical concepts within the engaging Numberland framework, Early Years professionals can foster a deep, lasting understanding of numbers and their relationships. This lays a solid foundation for future mathematical learning.
Practical tip: Create simple ‘addition’ and ‘subtraction’ stories using Numberland characters. For instance, “Three apples from Number Three’s garden rolled into Number Two’s garden. How many apples are there now?” This approach contextualises arithmetic within the familiar Numberland narrative.
Implementing Numberland in the Classroom
Bringing Numberland to life in your Early Years setting creates an immersive mathematical environment. This section provides practical guidance on setting up and using Numberland effectively.
Setting up a Numberland Environment
Creating a dedicated Numberland space engages children’s imagination and supports their learning.
Key elements to include:
- Number Gardens: Use coloured mats or rugs in appropriate shapes
- Number Lane: Create a physical path with numbered stepping stones
- Number Houses and Towers: Display these prominently for easy access
- Number Puppets: Place these in their respective gardens
Practical tip: Start small with just Numbers 1-5. Gradually expand as children’s understanding grows. This approach prevents overwhelm and allows for deeper exploration of each number (Friedrich & Schindelhauer, 2005).
Integrating Numberland into Daily Routines
Numberland thrives when woven into the fabric of daily Early Years activities.
Integration strategies:
- Morning register: Count children using Number Lane
- Snack time: Serve snacks in quantities matching the ‘Number of the Day’
- Tidy-up time: Sort toys into Number Gardens based on quantity
Consistent, daily engagement with Numberland reinforces mathematical concepts naturally and enjoyably.
Sample Activities and Lesson Plans
Structured Numberland activities support specific learning objectives while maintaining a playful approach.
Activity examples:
- “Number Garden Party”: Children decorate gardens with the correct number of items
- “Number Lane Hopscotch”: Physical game reinforcing number sequence
- “Number Tower Challenge”: Building and comparing towers of different heights
Friedrich and Munz (2004) emphasise the importance of balancing structured activities with free play in Numberland to maximise learning outcomes.
Adapting Numberland for Different Age Groups (3-6 years)
Numberland’s flexibility allows for adaptation across the Early Years age range.
Age-specific approaches:
- 3-4 years: Focus on Numbers 1-5, emphasise counting and recognition
- 4-5 years: Expand to Numbers 1-10, introduce simple addition concepts
- 5-6 years: Explore all numbers, delve into more complex relationships
Practical tip: Use ‘Number Buddies’ where older children partner with younger ones for Numberland activities. This peer learning approach benefits both age groups and fosters social skills.
Implementing Numberland effectively is helped by consistency and creativity. Regular, short sessions integrated throughout the day yield better results than occasional, lengthy focus times. Start with basic elements and gradually increase complexity as children’s confidence and understanding grow.
Remember, the goal is to make mathematics enjoyable and accessible. Numberland provides a framework, but your enthusiasm and creativity as an Early Years professional bring it to life for the children in your care.
Cross-curricular Connections
Numberland’s holistic approach extends beyond mathematics, supporting children’s development across multiple areas. This integrated learning enhances overall educational outcomes and makes mathematical concepts more meaningful.
Language Development Through Numberland
Numberland provides rich opportunities for language acquisition and use.
Key language-building elements:
- Number stories enhance vocabulary and narrative skills
- Number songs support phonological awareness
- Discussions about Number Gardens promote descriptive language
Friedrich and Munz (2006) found that children exposed to Numberland showed significant improvements in both active and passive language skills.
Practical tip: Create a ‘Numberland Dictionary’ with the children. Encourage them to illustrate and define mathematical terms they encounter, fostering both language and mathematical understanding.
Social-emotional Learning Opportunities
Numberland activities naturally incorporate social-emotional learning, supporting children’s personal and interpersonal development.
Social-emotional aspects:
- Collaborative garden-building fosters teamwork
- Number character role-play develops empathy
- Turn-taking in Number Lane games promotes self-regulation
These experiences help children develop crucial life skills alongside their mathematical understanding.
Physical Development and Motor Skills
Numberland’s hands-on approach supports physical development and enhances motor skills.
Physical development opportunities:
- Fine motor skills: Manipulating objects in Number Gardens
- Gross motor skills: Moving along Number Lane
- Spatial awareness: Navigating the Numberland environment
Friedrich (2005a) emphasises the importance of motor activity in processing and remembering mathematical information.
Practical tip: Create a ‘Numberland Obstacle Course’ incorporating counting, shape recognition, and physical challenges. This combines mathematical learning with physical development in an engaging way.
By leveraging these cross-curricular connections, Early Years professionals can maximise the educational impact of Numberland. This integrated approach ensures that mathematical learning supports and is supported by development in other crucial areas.
Remember, the goal is holistic child development. While mathematics remains at the core of Numberland, its benefits extend far beyond numeracy. Embrace these connections to create a rich, multifaceted learning environment that prepares children for future academic success and personal growth.
Assessment and Observation in Numberland
Effective assessment and observation are crucial for maximising the benefits of Numberland. These processes allow Early Years professionals to track progress, identify areas for support, and tailor activities to individual needs.
Monitoring Children’s Progress
Numberland provides numerous opportunities for ongoing, naturalistic assessment of children’s mathematical development.
Key assessment strategies:
- Observe children’s interactions with Number Gardens and Puppets
- Listen to children’s mathematical language during Numberland activities
- Note how children apply Numberland concepts in free play
Friedrich and Munz (2004b) emphasise the importance of regular, informal observations to build a comprehensive picture of each child’s progress.
Practical tip: Create a simple ‘Numberland Observation Journal’ for each child. Record brief notes on their engagement with different Numberland elements, mathematical language use, and concept application. This provides a valuable record of progress over time.
Using Numberland to Identify Areas for Support
Numberland activities can reveal areas where children may need additional support or challenge.
Indicators to watch for:
- Difficulty with specific number concepts or operations
- Inconsistent application of mathematical ideas across activities
- Avoidance of particular Numberland elements or activities
These observations help Early Years professionals tailor their approach to each child’s needs.
Friedrich and Schindelhauer (2005) suggest using Numberland’s multifaceted approach to address different learning styles and needs. For example, a child struggling with abstract number concepts might benefit from more hands-on experiences with Number Towers.
Assessment through play:
Numberland’s playful approach allows for assessment without creating stress or anxiety for children. Observations made during enjoyable activities often reveal a more accurate picture of a child’s understanding than formal testing.
Practical tip: Introduce ‘Numberland Challenges’ – playful tasks that target specific skills. For example, “Can you help Number Five find five different objects for her garden?” These challenges provide focused assessment opportunities while maintaining the fun, game-like atmosphere of Numberland.
Remember, the goal of assessment in Numberland is to support each child’s mathematical journey. Use your observations to celebrate progress, identify next steps, and ensure that every child experiences success in their mathematical learning.
By integrating assessment seamlessly into Numberland activities, Early Years professionals can gather rich, meaningful data about children’s mathematical development. This information guides instruction, supports individualised learning, and helps create a positive, growth-oriented mathematical environment for all children.
Research and Evidence Base
Numberland’s effectiveness is supported by a growing body of research. These studies provide valuable insights for Early Years professionals implementing the approach.
Overview of Studies on Numberland’s Effectiveness
Several studies have examined Numberland’s impact on early mathematical development.
Key research findings:
- Significant improvements in mathematical competence
- Enhanced language skills alongside mathematical growth
- Positive effects across diverse socio-economic backgrounds
Friedrich and Munz (2006) conducted a comprehensive study involving 92 children aged 3-6 years. The results showed substantial gains in both mathematical and linguistic competence after just 10 weeks of Numberland exposure.
Key Findings from Dr. Friedrich’s Research
Dr. Friedrich’s seminal work provides compelling evidence for Numberland’s effectiveness.
Highlighted outcomes:
- Children gained up to one year’s mathematical competence in 10 weeks
- Language skills improved concurrently with mathematical understanding
- Benefits extended equally to both boys and girls
Notably, Friedrich and Munz (2006) found that children from underprivileged backgrounds showed similar gains to their peers, suggesting Numberland’s potential for reducing educational inequalities.
Practical tip: Document your own ‘action research’ as you implement Numberland. Keep records of children’s progress and share your findings with colleagues. This practice-based evidence can be powerful in refining your approach and demonstrating Numberland’s impact in your setting.
Long-term Benefits for Children’s Mathematical Development
Research indicates that Numberland’s effects extend beyond immediate gains.
Long-term advantages:
- Sustained mathematical confidence and competence
- Improved readiness for formal schooling
- Enhanced overall cognitive development
A follow-up study by Pauen (as cited in Friedrich & Munz, 2006) confirmed that Numberland children maintained their advantage through their first year of primary school.
Friedrich and Schindelhauer (2011) emphasise that Numberland’s holistic approach supports not just mathematical skills, but overall cognitive and social-emotional development, contributing to long-term educational success.
The research base for Numberland provides Early Years professionals with confidence in the approach’s effectiveness. It underscores the importance of consistent, engaging mathematical experiences in the early years for building a strong foundation for future learning.
Remember, while research provides valuable insights, each child’s journey is unique. Use these findings to inform your practice, but always adapt Numberland to meet the specific needs of the children in your care. Your observations and professional judgement remain crucial in ensuring the best outcomes for each child.
Challenges and Solutions
Implementing Numberland, like any new approach, can present challenges. However, with creative problem-solving and flexibility, Early Years professionals can overcome these obstacles and maximise the benefits for all children.
Common Implementation Issues and How to Overcome Them
Several common challenges may arise when introducing Numberland.
Frequent challenges and solutions:
- Limited space: Create a mobile Numberland kit that can be set up and packed away easily.
- Time constraints: Integrate Numberland elements into existing routines rather than treating it as a separate activity.
- Resource limitations: Use everyday objects and recycled materials to create Numberland elements.
Friedrich and Galgoczy (2004) emphasise the importance of adapting Numberland to fit the specific context of each setting. They encourage practitioners to view challenges as opportunities for creative problem-solving.
Practical tip: Start with a ‘Numberland Lite’ approach. Begin with just a few key elements, such as Number Puppets and a simple Number Lane. Gradually expand as you and the children become more comfortable with the concept.
Adapting Numberland for Diverse Learners
Numberland’s flexibility allows for adaptation to meet diverse learning needs.
Strategies for inclusion:
- Visual learners: Enhance visual cues in Number Gardens and on Number Lane.
- Auditory learners: Emphasise Number Songs and storytelling elements.
- Kinesthetic learners: Increase opportunities for physical interaction with Numberland elements.
Friedrich and Munz (2004c) found that Numberland’s multi-sensory approach naturally supports diverse learning styles. They suggest tailoring activities to leverage each child’s strengths while supporting areas of challenge.
Supporting children with additional needs:
Numberland can be adapted for children with various additional needs:
- Language delays: Use simple, repetitive language in Number Stories and Songs.
- Physical disabilities: Create tactile Number Gardens that can be explored by touch.
- Attention difficulties: Break Numberland activities into shorter, focused sessions.
Remember, the goal is to make Numberland accessible and enjoyable for all children. Observe how different children engage with Numberland and be prepared to make ongoing adjustments.
Practical tip: Create a ‘Numberland Adaptation Log’ where you record successful modifications for different learners. This resource can be shared with colleagues and refined over time, building a valuable toolkit for inclusive practice.
By approaching challenges creatively and maintaining a flexible mindset, Early Years professionals can ensure that Numberland becomes a rich, engaging mathematical environment for all children. The key is to stay true to Numberland’s core principles while adapting the specifics to meet the unique needs of your setting and learners.
Parent Involvement and Home-School Connections
Engaging parents in Numberland activities strengthens the home-school connection and enhances children’s mathematical learning. Early Years professionals play a crucial role in facilitating this partnership.
Strategies for Engaging Parents in Numberland Activities
Involving parents in Numberland creates a consistent learning environment for children.
Effective engagement strategies:
- Host ‘Numberland Open Days’ where parents explore the concept firsthand
- Share regular ‘Numberland Updates’ highlighting children’s activities and progress
- Create a ‘Numberland Lending Library’ with resources parents can borrow
Friedrich and Schindelhauer (2005) emphasise that parent involvement significantly enhances the effectiveness of Numberland. They found that children whose parents engaged with Numberland at home showed greater progress in mathematical understanding.
Practical tip: Organise a ‘Numberland Family Night’ where children become the teachers, guiding their parents through favourite Numberland activities. This empowers children and helps parents understand the approach.
Ideas for Numberland-inspired Home Learning
Extending Numberland into the home environment reinforces learning and makes mathematics a part of daily life.
Home learning suggestions:
- Encourage ‘Number Hunts’ in the home and neighbourhood
- Provide simple instructions for creating Number Gardens using household items
- Share Number Songs and Stories for families to enjoy together
Friedrich and Galgoczy (2004) suggest that home-based Numberland activities should be simple, enjoyable, and integrated into daily routines. This approach prevents overwhelming parents while maintaining the playful essence of Numberland.
Supporting diverse families:
Consider the diverse needs and backgrounds of your families when suggesting home activities:
- Offer resources in multiple languages where appropriate
- Provide alternatives for families with limited resources
- Be sensitive to different cultural approaches to mathematics
Remember, the goal is to make Numberland accessible and enjoyable for all families, regardless of their circumstances.
Practical tip: Create a ‘Numberland at Home’ newsletter. Include a ‘Number of the Week’ focus with simple, related activities families can try. This provides a structured yet flexible way for parents to engage with Numberland concepts.
By fostering strong home-school connections through Numberland, Early Years professionals can amplify the impact of their classroom efforts. This collaborative approach ensures that children receive consistent support in their mathematical journey, both at school and at home.
Encourage parents to share their Numberland experiences. This feedback can provide valuable insights into how children apply their learning outside the classroom and can inform your ongoing implementation of Numberland in your setting.
Professional Development: Let’s Visit Numberland Masterclass
Continuous professional development is crucial for effective Numberland implementation. The Let’s Visit Numberland Masterclass offers Early Years practitioners a comprehensive, in-depth exploration of the approach.
Introduction to the Online Course
The Masterclass, led by Numberland expert Barbara Schindelhauer, provides a deep dive into Numberland’s principles and practices.
Key features of the Masterclass:
- Self-paced online modules
- Video demonstrations of Numberland activities
- Interactive quizzes and reflection exercises
- Downloadable resources and lesson plans
This format allows practitioners to engage with the material at their own pace, fitting professional development around their busy schedules. Read more about the Let’s Visit Numberland Masterclass.
Key Learning Outcomes for Practitioners
The Masterclass equips Early Years professionals with the knowledge and skills to implement Numberland effectively.
Practitioners will learn to:
- Create engaging Numberland environments
- Implement key Numberland activities and routines
- Adapt Numberland for diverse learners
- Integrate Numberland across the Early Years curriculum
Friedrich and Schindelhauer (2011) emphasise that thorough understanding of Numberland’s theoretical underpinnings enhances practitioners’ ability to implement it creatively and effectively.
Practical tip: Form a ‘Numberland Learning Circle’ with colleagues also taking the Masterclass. Meet regularly to discuss insights, share implementation ideas, and support each other’s learning journey.
How the Masterclass Enhances Numberland Implementation
The Masterclass goes beyond basic Numberland knowledge, offering insights that enrich implementation.
Benefits of Masterclass participation:
- Deeper understanding of the research behind Numberland
- Confidence in adapting Numberland to specific settings
- Access to a community of Numberland practitioners
- Ongoing support and resources for implementation
Friedrich and Galgoczy (2004) note that practitioners who receive comprehensive training in Numberland report greater success and satisfaction with the approach.
The Masterclass provides a solid foundation for bringing Numberland to life in your setting. It offers not just knowledge, but practical strategies and a supportive community to enhance your implementation.
Remember, professional development is an ongoing process. The Masterclass serves as a springboard for continued exploration and refinement of your Numberland practice.
By investing in this professional development opportunity, Early Years practitioners position themselves to maximise the benefits of Numberland for the children in their care. The Masterclass provides the tools, knowledge, and confidence to create rich, engaging mathematical environments that support children’s early numeracy development.
Conclusion: The Future of Numberland
Numberland offers a rich, engaging approach to early mathematics education. It transforms abstract concepts into tangible, playful experiences that resonate with young learners.
Key themes explored in this article:
- Child-centred philosophy aligned with developmental psychology
- Comprehensive coverage of fundamental mathematical concepts
- Cross-curricular connections supporting holistic development
- Research-backed effectiveness across diverse learner groups
- Flexibility for adaptation to various Early Years settings
Early Years practitioners implementing Numberland create immersive mathematical environments that foster both competence and confidence in young learners.
Ongoing Developments and Research
Numberland continues to evolve, informed by ongoing research and practitioner feedback.
Current areas of development:
- Digital Numberland resources for blended learning environments
- Expanded focus on mathematical language development
- Enhanced strategies for supporting children with additional needs
Friedrich and Schindelhauer (2011) highlight the importance of continuous refinement in maintaining Numberland’s effectiveness and relevance.
The Role of Numberland in Early Mathematics Education
Numberland plays a crucial role in bridging informal and formal mathematical learning.
Numberland’s impact:
- Lays a strong foundation for future mathematical success
- Fosters positive attitudes towards mathematics
- Supports the development of mathematical thinking skills
Research by Friedrich and Munz (2006) demonstrates Numberland’s potential to reduce educational inequalities, making it a valuable tool for inclusive Early Years practice.
Practical tip for implementation: Start small, perhaps with just Numbers 1-3, and gradually expand. Consistency is key – integrate Numberland elements into daily routines for maximum impact.
As Early Years professionals, embracing Numberland offers an opportunity to transform mathematical education in your setting. By creating engaging, play-based mathematical experiences, you lay the groundwork for children’s lifelong mathematical journey.
Remember, every Numberland journey is unique. Adapt the approach to suit your setting and learners, always maintaining the core principle of making mathematics meaningful and enjoyable for young children.
The future of early mathematics education is bright with Numberland. By implementing this approach, you contribute to a generation of confident, competent mathematical thinkers ready to tackle the challenges of tomorrow.
Frequently Asked Questions
Is Numberland a Scheme or a Programme?
No, Numberland is not a rigid scheme or programme. It’s a flexible, child-centred approach to early mathematics education. Numberland provides a framework for creating engaging mathematical experiences, allowing practitioners to adapt it to their specific setting and children’s needs.
Key points:
- Numberland is an idea, not a prescriptive programme
- It can be integrated into existing routines and activities
- Practitioners have the freedom to tailor Numberland to their context
For practical implementation, start by introducing Number Gardens and Puppets into your daily routines, gradually expanding as children’s understanding grows.
What Does It Cost?
The cost of implementing Numberland can vary depending on your approach. There are options to suit different budgets:
- Free resources: The Numberland website offers free information and ideas
- Low-cost option: Purchase the picture book “My Garden is a Square” and create DIY resources
- Ready-made resources: Printed materials and wooden Numberland elements are available for purchase
Remember, many Numberland elements can be created using everyday classroom materials, keeping costs minimal.
For budget-friendly implementation, start with homemade Number Puppets and use coloured mats or rugs for Number Gardens.
My School Already Follows a Programme/Scheme. Is it on Top/in Competition?
Numberland is not in competition with existing programmes. It’s designed to complement and enhance your current mathematical approach:
- Numberland can be integrated alongside other schemes
- It serves as a catalyst, making abstract concepts more accessible
- The approach enhances children’s engagement with mathematical ideas
Friedrich and Munz (2004c) found that Numberland’s principles can be effectively woven into various educational frameworks.
To integrate Numberland, identify areas in your current programme where Numberland elements could enhance learning. For example, use Number Lane activities to reinforce counting sequences.
How Does Let’s Visit Numberland Work?
Let’s Visit Numberland works by creating an immersive, playful mathematical environment:
- Introduce the concept that numbers have homes, like in the book “My Garden is a Square”
- Set up Number Gardens in your maths area for children to explore
- Focus on one “Number of the Week” during circle time
- Integrate Numberland elements into daily routines and cross-curricular activities
For effective implementation, ensure consistent exposure to Numberland concepts throughout the day, not just during dedicated maths time.
How Can I Adapt Numberland for Children with Special Educational Needs?
Numberland’s multisensory approach makes it adaptable for diverse learners, including those with special educational needs:
- Visual learners: Enhance visual cues in Number Gardens
- Auditory learners: Emphasise Number Songs and stories
- Kinesthetic learners: Increase hands-on activities with Number Towers
For children with specific needs:
- Language delays: Use simple, repetitive language in Number Stories
- Physical disabilities: Create tactile Number Gardens for exploration by touch
- Attention difficulties: Break activities into shorter, focused sessions
Friedrich and Schindelhauer (2005) emphasise the importance of observing individual responses and adjusting accordingly.
How Can I Engage Parents in Numberland Activities?
Engaging parents strengthens the impact of Numberland. Try these strategies:
- Host ‘Numberland Open Days’ for parents to experience the approach
- Create a ‘Numberland at Home’ newsletter with simple activities
- Set up a ‘Numberland Lending Library’ with resources parents can borrow
Friedrich and Galgoczy (2004) suggest keeping home activities simple and integrated into daily routines to avoid overwhelming parents.
For practical implementation, start with a ‘Number of the Week’ focus in your parent communications, suggesting easy, related activities families can try at home.
How Quickly Can I Expect to See Results with Numberland?
The impact of Numberland can be observed relatively quickly:
- Friedrich and Munz (2006) found significant gains in mathematical competence after just 10 weeks
- Children often show increased enthusiasm for mathematical activities within the first few weeks
- Long-term benefits, including improved school readiness, have been observed in follow-up studies
However, it’s important to remember that every child progresses at their own pace. Focus on consistent implementation and celebrate individual progress.
To track progress, maintain a simple ‘Numberland Observation Journal’ for each child, noting their engagement and understanding over time.
References
- Friedrich, G., & Bordihn, A. (2003). Spot: So geht’s – Spaß mit Zahlen und Mathematik im Kindergarten. Sonderheft der Zeitschrift Kindergarten heute.
- Friedrich, G., & Galgoczy, V. (2004). Komm mit ins Zahlenland. Eine spielerische Entdeckungsreise in die Welt der Mathematik. Freiburg: Christophorus.
- Friedrich, G., & Munz, H. (2004a). Mit den Zahlen auf Du und Du. Vorschulkinder entdecken das Zahlenland. Magazin Schule, Ministerium für Kultus, Jugend und Sport BW, Frühjahr 2004, 24-25.
- Friedrich, G., & Munz, H. (2004b). Zahlenland im Kindergarten. Ein ganzheitliches Förderkonzept am Beispiel elementarer Mathematik. KiTa aktuell; NRW, 4/2004, 86-89.
- Friedrich, G., & Munz, H. (2004c). Zahlenland im Kindergarten. Ein ganzheitliches Förderkonzept am Beispiel elementarer Mathematik. KiTa aktuell; ND, 9/2004, 187-190.
- Friedrich, G. (2005a). Der Zahlenweg; Zahlen Schritt für Schritt erforschen. www.wehrfritz.de; siehe WWD.
- Friedrich, G., & Schindelhauer, B. (2005). Komm mit ins Zahlenland. Das mathematische Denken beginnt im Vorschulalter. In: Kinderleicht. Ausgabe 1/05, 4-8.
- Friedrich, G., & Munz, H. (2006). Förderung schulischer Vorläuferfähigkeiten durch das didaktische Konzept “Komm mit ins Zahlenland”. Psychologie in Erziehung und Unterricht, 53, 134-146.
- Krajewski, K., & Schneider, W. (2009). Early development of quantity to number-word linkage as a precursor of mathematical school achievement and mathematical difficulties: Findings from a four-year longitudinal study. Learning and Instruction, 19(6), 513-526.
- Friedrich, G., & Schindelhauer, B. (2011). Komm mit ins Zahlenland. Eine ganzheitliche, fröhliche Reise in die Welt der Mathematik- und Sprachförderung. In: Frühes Deutsch, Goethe Institut, Vol. 23, August 2011, 24-27.
Further Reading and Research
Recommended Articles
- Aunio, P., & Räsänen, P. (2016). Core numerical skills for learning mathematics in children aged five to eight years – a working model for educators. European Early Childhood Education Research Journal, 24(5), 684-704.
- Björklund, C., & Barendregt, W. (2016). Teachers’ pedagogical mathematical awareness in Swedish early childhood education. Scandinavian Journal of Educational Research, 60(3), 359-377.
- MacDonald, A., & Murphy, S. (2019). Mathematics education for children under four years of age: A systematic review of the literature. Early Years, 39(3), 274-288.
Suggested Books
- Friedrich, G., & Galgoczy, V. (2015). Komm mit ins Zahlenland: Eine spielerische Entdeckungsreise in die Welt der Mathematik. Verlag Herder.
- A comprehensive guide to the Numberland approach, offering theoretical background and practical implementation strategies.
- Schindelhauer, B. (2018). Let’s Visit Numberland: A Playful Mathematical Journey for Early Years. Numberland Press.
- An English-language resource detailing the Numberland approach, with practical activities and implementation advice for Early Years settings.
- Clements, D. H., & Sarama, J. (2014). Learning and Teaching Early Math: The Learning Trajectories Approach. Routledge.
- Provides a broader context for early mathematics education, complementing the Numberland approach.
Recommended Websites
- Let’s Visit Numberland Masterclass with Barbara Schindelhauer
- Numberland Official Website
- Offers free resources, information about training opportunities, and updates on Numberland research and development.
- Early Math Collaborative
- Provides a wealth of resources on early mathematics education, including research summaries and practical teaching ideas.
- NRICH Early Years
- Offers a range of mathematical activities and games suitable for young children, which can complement Numberland activities.
- National Centre for Excellence in the Teaching of Mathematics (NCETM) Early Years Resources
- Provides professional development materials and classroom resources for early mathematics, offering additional context for Numberland implementation.