An open-ended counting task: the child is given a tray of small objects and asked “How many?” They choose how to organise and count, then report the total. The adult watches without correcting and asks the child to count a second way.
- Gather a tray of small countable objects — buttons, pasta shells, blocks, pebbles, beads, bottle caps, pom-poms, mini animals. A starter collection has 10–20 objects; you can scale up later.
- Place the tray in front of the child with one question: “How many are there?” No instructions on how to count — the strategy choice is part of the learning.
- Watch quietly. Notice: do they touch each object once? Line them up? Move them aside as they count? Lose track? Use number words in order? Don’t correct mid-count — wait until they finish.
- When they stop, ask: “How many did you find?” A child who recounts instead of giving the last number is still building cardinality — the idea that the last word said is the total. That’s diagnostic, not a failure.
- Then ask: “Can you show me another way to count them?” Drop a hint if needed: “Some people put them in a line. Some make groups of five. Try a way you haven’t tried.”
- Optionally finish by writing the numeral that matches the total, or placing a numeral card next to the tray. A photo of the arrangement makes a nice record.
Variation: vary the size — 5 objects → 10 → 15 → 20 → 30. Vary the layout — neat line vs. scattered pile vs. circle. Try counting immovable objects (stairs while climbing, fence posts, tiles on the floor) — much harder because you can’t slide them aside.
Requirements
- Space: A small table, tray, or any flat surface
- Surface: Hard, flat (table or floor); a tray helps contain rolling items
- Materials: A tray or shallow bowl, 10–30 small countable objects (buttons, pasta, blocks, pebbles, beads, pom-poms), optional numeral cards 0–20, optional clipboard and pencil for recording
- Participants: 1 adult + 1 child; siblings can each have their own tray
- Supervision: Close for under-4s (small parts); light for confident 5-year-olds — observe rather than direct
Rationale & Objective
Counting Collections is the canonical assessment-and-practice activity in research-based early-numeracy curricula (Kathy Richardson’s Developing Number Concepts; Franke, Kazemi & Chan Turrou’s Choral Counting & Counting Collections; Clements & Sarama’s Learning Trajectories). One activity exercises all five counting principles identified by Gelman & Gallistel (1978): one-to-one correspondence, stable order, cardinality, abstraction, and order-irrelevance. Schwerdtfeger & Chan (2007) and Franke et al. (2018) document substantial gains in counting accuracy and number-word knowledge after sustained Counting Collections practice. The open-ended structure also reveals the child’s current strategy — lining up, grouping by 5, sliding aside — which signals readiness for more advanced ideas like base-10 grouping.
Progress Indicators
- Early: skips objects or counts the same one twice; chants number words (“1, 2, 3, 4, 5…”) without matching to objects; can’t say “how many” after counting (recounts instead)
- Developing: counts 5–8 accurately with one-to-one matching when objects are in a line; loses track when objects are scattered; usually answers “how many” but sometimes recounts to be sure
- Proficient: counts 10–15 accurately whether objects are in a line or scattered; reliably gives the last count as the total without recounting; spontaneously chooses an organising strategy (line, group, slide-aside)
- Advanced: counts 20+ objects accurately; spontaneously groups by 5s or 10s; double-checks by recounting a different way; counts immovable objects by pointing; writes the matching numeral
Safety Notes
- Avoid items smaller than 4.5 cm if the child still mouths objects, or if a younger sibling is in reach — fails the CPSC small-parts cylinder test (choking hazard)
- Skip dried beans, marbles, and small seeds for under-4s; use larger blocks, big buttons, or chunky pasta shapes instead
- Never use known allergens (peanuts, certain seeds) as counters, even sealed in bags
- Take breaks if the child gets frustrated — counting errors mount as attention fatigues; quit while it’s still fun
- Wash hands before and after if using natural items (pebbles, acorns, leaves)
Hints
- Playfulness: name the tray (“Mariella’s Button Bonanza”) or call it “the great counting collection.” A clipboard for recording adds importance — children love taking the work seriously
- Sustain interest: rotate collections across days — kitchen day (pasta, beans, lids), nature day (acorns, pebbles, leaves), toy day (LEGO bricks, mini-figures, Pop-It beads). Build a “collection box” of favourites the child returns to
- Common mistake: correcting mid-count (“you skipped one!”) interrupts the child’s working memory — wait until they finish, then ask “Can you count it again to be sure?” Also: starting too big (30+ objects) overwhelms most 5-year-olds. Begin with 10
- Limited space: a small bowl on the kitchen counter and a handful of pasta is enough; 5–10 minutes is a complete session. No table required
- Cross-domain: sort by colour or shape before counting (classification); record the count as a numeral or tally (early writing); graph multiple collections on chart paper (data); compare two collections — “which has more?” (comparison)
- Progression: 5 in a line → 10 in a line → 10 scattered → 15 scattered → 20 scattered → group by 5s → group by 10s → record on a hundreds chart → count immovable objects (stairs, fence posts) by pointing
Sources
- Richardson, K. (1999/2012). *Developing Number Concepts: Counting, Comparing, and Pattern*. Pearson
- Schwerdtfeger, J. K. & Chan, A. (2007). "Counting Collections." Teaching Children Mathematics, 13(7), 356–361
- Franke, M. L., Kazemi, E. & Chan Turrou, A. (2018). *Choral Counting & Counting Collections: Transforming the PreK–5 Math Classroom*. Stenhouse
- Clements, D. H. & Sarama, J. (2014/2021). *Learning and Teaching Early Math: The Learning Trajectories Approach* (3rd ed.). Routledge
- Gelman, R. & Gallistel, C. R. (1978). *The Child's Understanding of Number*. Harvard University Press
- National Research Council (2009). *Mathematics Learning in Early Childhood: Paths Toward Excellence and Equity*. National Academies Press
- Common Core K.CC.B.4 (cardinality) and K.CC.B.5 (count to answer "how many?")
- Head Start ELOF — Mathematics Development (P-MATH 1, 2, 3)
- Teaching Strategies GOLD Objective 20a–20b (counting and quantifying)
- HighScope KDI 33 (Counting) and KDI 34 (Number names and counting sequence)
- Erikson Institute Early Math Collaborative — *Big Ideas of Early Mathematics* (2014)