Mathematics and numeracy

The relevance of mathematics and numeracy in early childhood education is because it would enable the children to reason, solve problems and organise their understanding of the world. These skills are expanded in early years through easy, exploratory, and tactile experiences through play (McDonald, 2019). Counting, sorting, measuring, and pattern-recognising activities run a very good beginning basis to future learning (Howard & Mayesky, 2022). Mathematics is also exciting when it is put in the context of relevance, and through this, creativity and development of confidence are enhanced (AERO, 2023). Learning mathematics early would aid in cognitive, physical and social development, equipping the children with the ability to solve problems throughout their lives and think critically.

Theories and Perspectives:

The sociocultural theory of Vygotsky pays great attention to the role played by social interaction and guided participation in the development of mathematical knowledge due to the fact that children learn the best through meaningful shared activities (Fleer & Raban, n.d.). In Piaget’s constructivist theory, emphasis is made on how children manipulate objects whereby their cognition is concrete and then abstract (McDonald, 2019). The Reggio Emilia approach offers numeracy with a few project-based, child-directed investigations and values creative thinking and problem solving (Littledyke, 2014). The learning trajectory provided by AERO (2023) presents the idea of the gradual emergence of mathematical thinking built on exploration, representation, and reasoning. The two perspectives in combination direct educators to present engaging, developmentally acceptable, and imaginative mathematical experiences that help children connect learning to events in their lives.

Resources for Different Age Groups (0-8 years):

Babies (0–2 years):

Big blocks,
Shape sorters,
Mats with numbers
Sensory baskets,
Shapes chart.

Toddlers (2-3 years):

Counting beads,
Sorting tray,
Coloured bowls,
Beans,
Number charts.

Preschoolers (3-5 years):

Pattern blocks,
Number charts,
Shapes and size charts,
Measuring scale,
3D shapes.

Older Children (6-8 years):

Measuring scale, tapes,
Clocks,
Number charts,
Screen to play mathematics based educational videos,
Tablet with mathematics application.

Creative Learning Experiences

Babies (0–2 years)

Shape Sorting Play

Material List: Big shape sorter toys.

Activity: Babies insert the shapes into the right hole and begin exploring spatial understanding and problem solving. It helps them learn by trial and error and by classification (Howard & Mayesky, 2022).

Stack and Count Towers

Material List: Stacking blocks or cups

Activity: Children stack blocks as they count aloud with the help of educators. It combines building-games, with early-number recognition (McDonald, 2019).

Toddlers (2–3 years)

Sorting and bean counting

Material List: Dried beans, little bowls, spoons.

Activity: Children divide the beans according to the colour or size and count them. It encourages classification, sense involvement, as well as counting (Fleer & Raban, n.d.).

Number Hop Game

Material List: Chalk, outdoor area.

Activity: Children jump on numbers as those that are called by the educator. It combines the use of number recognition and movement (Howard & Mayesky, 2022).

Preschoolers (3–5 years)

Big/ small Rhyme and Chart

Material List: rhyme about size-comparison, picture chart of objects.

Activity: Children sing a song, and then they guess whether the depicted objects are big or small. It integrates language, music, and mathematical thinking (McDonald, 2019).

Making of Pattern Necklaces

Material List: beads in all kinds of shapes/colours, string.

Activity: Children make patterns in beads using repetition. It teaches the development of the ability to recognize patterns and fine motor skills (McDonald, 2019).

Older Children (6–8 years)

Tangram Challenge

Material List: Tangram sets, picture forms.

Activity: Children draw shapes presented to them or directly make up their own design with tangram pieces. It increases spatial awareness and design problem solving (Howard & Mayesky, 2022).

Plotting Our Favourite Fruit

Material List: Chart paper, markers, sticky notes.

Activity: Children vote on their favourite fruit, graph results. It allows and promotes data collection, analytics, and the visual presentation (AERO, 2023).

Digital Reflection

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Beans Counting

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Big or Small Rhyme

Critical Reflection

Bean Counting and Sorting activity with toddlers turned out to be very effective to develop early numeracy, classification, and sensory involvement in toddlers. Children were very persistent, counting aloud or simply sorting the beans in a special way. To identify the essential strengths, an open-ended design was noted because it enabled children to move freely based on their interests. In order to make the activity more engaging, I would add some matching number cards that would reinforce numeral recognition and allow to expand mathematical vocabulary with the inclusion of such words as more, less, and equal (Howard & Mayesky, 2022).

Language, music, and mathematics blended well and were highly effective during the Big or Small Rhyme and Chart activity with preschoolers. The rhythm of the rhyme was attractive, and the picture chart offered active involvement and thinking in order to decide what size was an object. This combination favored not only conceptual comprehension but also the imagination (McDonald, 2019). An advantage of the task was that it was multi-modality, which accommodates visual, audio and verbal learners. As a way of improvement, I would introduce real life objects that the children could compare physically and this will suit kinesthetic learners as well as making it more concrete (Stonehouse, 2012). Such adaptation would increase their familiarity of the concepts involving measurement and at the same time, would maintain interest and innovation in mathematical thinking.

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