Foundations of Mathematical Thinking · Senior Infants

Active learning ideas

Exploring Round Shapes

Active learning works especially well for round shapes because children need to feel the continuous curve with their hands and eyes together. Tracing, comparing, and rolling objects make the abstract idea of a circle concrete and memorable, which is essential for young learners still developing spatial reasoning.

• NCCA Curriculum Specifications
• NCCA: Junior Cycle - Measurement - M.7

• 20–45 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 45 min · Small Groups

Stations Rotation: Shape Tracing Stations

Prepare stations with varied circular objects: coins for small traces, plates for large, bottle lids for medium. Students trace each onto paper, label bigger or smaller, and cut out shapes. Rotate groups every 10 minutes, then share tracings.

Can you trace around this circular object and show its shape?

Facilitation Tip

During Shape Tracing Stations, remind students to keep their pencils steady against the curved edge to capture the true shape of a circle.

What to look for

Present students with a collection of various objects, some circular and some not. Ask each student to pick up one circular object and one non-circular object, holding them up to show the class. Ask: 'How do you know this is a circle?'

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 02

• Experiential Learning
• 30 min · Pairs

Pairs: Size Safari

Partners hunt classroom for circular objects, place two side by side, and discuss which is bigger using string or hands for comparison. Record pairs on a chart with drawings. End with class vote on biggest circle found.

Which circular object is bigger , this plate or this coin?

Facilitation Tip

For Size Safari, pair students who need support with those who can model accurate comparison by placing objects next to each other.

What to look for

Gather students in a circle. Ask: 'Can you name something in our classroom that is a circle?' Then, ask: 'If I have a plate and a coin, which one is bigger? How can you tell?' Encourage them to use descriptive words.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 03

• Experiential Learning
• 35 min · Whole Class

Whole Class: Roll and Compare

Roll circular objects down ramps, observe paths, and compare distances traveled. Predict and test if bigger circles roll farther. Chart results and discuss patterns.

What things at home have a circular shape?

Facilitation Tip

In Roll and Compare, demonstrate how to gently roll each object to observe whether it moves smoothly or tumbles, reinforcing the difference between circles and other shapes.

What to look for

Give each student a piece of paper and a crayon. Ask them to draw one thing they found at home that has a circular shape. Then, ask them to trace the edge of a circular object provided at their table.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

• Experiential Learning
• 20 min · Individual

Individual: Circle Rubbings

Provide crayons and paper; students place circular objects under paper and rub to reveal shapes. Label and collect in shape journals for review.

Can you trace around this circular object and show its shape?

Facilitation Tip

For Circle Rubbings, provide circular objects with varying diameters so students notice that all circles share the same curve but differ in size.

What to look for

Present students with a collection of various objects, some circular and some not. Ask each student to pick up one circular object and one non-circular object, holding them up to show the class. Ask: 'How do you know this is a circle?'

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Teachers should focus on guiding students to notice the defining feature of a circle: a smooth, continuous curve with no corners or straight edges. Avoid rushing to formal definitions until students have plenty of hands-on experience with real objects. Use consistent language, such as 'curved edge' and 'no corners,' to build clarity. Research shows that young children learn shapes best when they engage multiple senses, so incorporate movement and touch alongside visual tasks.

Successful learning looks like students using precise language to describe circles, such as smooth, curved edges without corners. They should confidently compare sizes by measuring or placing objects side by side, and they should recognize circular shapes in their environment without confusing them with other round forms.

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Watch Out for These Misconceptions

• During Shape Tracing Stations, watch for children who trace ovals or stretched lids and call them circles.

  Guide them to trace the true circle first, then compare it to the oval or lid by running their fingers along the edges to feel the difference in the curve.

• During Size Safari, watch for students who guess sizes without measuring or placing objects side by side.

  Encourage them to use string or direct comparison, then ask them to explain their reasoning using words like 'wider' or 'narrower.'

• During Roll and Compare, watch for students who think a square looks round when rolled because it spins.

  Have them roll both objects again and describe how the circle rolls straight while the square wobbles, then ask peers to explain the difference.

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Methods used in this brief

• Stations Rotation
• Experiential Learning