Mathematics · Senior Infants

Active learning ideas

Counting On and Counting Back

Active movement builds strong mental images of number sequences for young learners. Counting on and counting back become automatic when children use their whole bodies and materials, not just their eyes and ears. These activities turn abstract ideas into concrete experiences that stick.

• NCCA Curriculum Specifications
• NCCA: Junior Cycle - Number - N.9

• 15–30 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 30 min · Whole Class

Floor Number Line: Hop and Count

Tape a number line from 0 to 20 on the floor. Call out a starting number and direction, such as 'Start at 6, count on 4.' Children hop along the line while chanting numbers. Extend by having them lead for peers.

Start at 5 and count on 3 more , what number did you reach?

Facilitation Tip

Place the number line on the floor with clear markings and ask each child to hop forward starting from a number you whisper to them.

What to look for

Ask individual students to start at a number like 8 and count on 4 more. Observe if they can correctly state the final number. Then, ask them to count back from 12 by 3. Note their accuracy in both forward and backward counting.

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

Activity 02

• Experiential Learning
• 20 min · Pairs

Partner Finger Chains: Count On/Back

Pairs face each other and hold up fingers to show a starting number, like 7. One partner says 'count on 3,' and both extend fingers while counting aloud together. Switch roles after five rounds.

Can you count back from 10 to 1?

Facilitation Tip

Have partners alternate turns clapping and counting out loud while linking fingers to track each count.

What to look for

Provide students with a card showing a number, for example, 'Start at 6'. Ask them to write the number that comes next. On another card, show 'Count back from 10'. Ask them to write the number that comes before 10.

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

Activity 03

• Experiential Learning
• 25 min · Small Groups

Bead String Relay: Group Counts

Provide bead strings or knotted ropes marked 1-20. Small groups start at a called number and slide beads while counting on or back as a team. First group to reach the target wins a point.

If I am at number 7, what number comes next?

Facilitation Tip

Set up three stations with bead strings so groups rotate quickly and every child participates in the relay.

What to look for

Pose a scenario: 'Imagine we have 7 blocks, and we add 3 more. How many blocks do we have now?' Encourage students to explain their counting on strategy. Then ask, 'If we had 15 toys and put 5 away, how many are left?' Listen for their counting back process.

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

Activity 04

• Experiential Learning
• 15 min · Whole Class

Song Circle: Counting Back Chant

Sit in a circle and sing adapted songs like 'Ten Little Ducks' for counting back. Pass a soft toy around as children count down together, removing one 'duck' each verse. Discuss the final number reached.

Start at 5 and count on 3 more , what number did you reach?

Facilitation Tip

Teach the chant with hand motions first, then invite children to lead the group with the same gestures.

What to look for

Ask individual students to start at a number like 8 and count on 4 more. Observe if they can correctly state the final number. Then, ask them to count back from 12 by 3. Note their accuracy in both forward and backward counting.

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

A few notes on teaching this unit

Teachers know that rote counting must shift to flexible counting before children can solve problems. Start with physical actions so the brain maps the sequence through movement and touch. Avoid worksheets at this stage, as they often encourage counting from one regardless of the starting point. Research shows that children who count on and back fluently perform better in early addition and subtraction tasks because they understand the relationships between numbers.

Children will confidently start from any number and move forward or backward with accuracy and speed. You will hear clear, steady counting and see purposeful use of materials. Peer discussions will show they can explain their thinking in simple terms.

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Watch Out for These Misconceptions

• During Floor Number Line: Hop and Count, watch for children who always start at 1 even when you tell them to start at another number.

  Stand next to the child and point to the starting number on the line, then say 'Start here and hop three times.' Model it yourself first, then guide their hand to the correct spot.

• During Partner Finger Chains: Count On/Back, watch for children who skip numbers when counting backward, such as going from 10 to 7.

  Have them slide a bead along the string one by one while saying each number out loud, ensuring they touch each bead as they count back.

• During Song Circle: Counting Back Chant, watch for children who become confused about whether to count forward or backward when the teacher changes direction.

  Use a pointer to trace the number line on the board as the chant plays, moving your finger backward or forward to reinforce the direction with a visual cue.

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Methods used in this brief

• Experiential Learning