Many Ways to Group

Give your child a mixed pile of everyday objects and discover together just how many different ways the same things can be put into groups.

  1. Gather 8–12 varied objects that differ on several features at once — colour, shape, size, material, and what they’re for (a red toy car, a blue sock, a green crayon, a small ball, a big spoon, a wooden block). Spread them out.
  2. Open it up: “Put these into groups — things that go together.” Let your child sort any way they like; there’s no right answer. When they finish, ask them to name their groups (“these are all the red ones”).
  3. Mix it all back together and set the challenge: “Here’s the tricky bit — can you find a different way to group these same things?” Then wait and give thinking time.
  4. If they’re stuck, offer one feature as a hint: “What about by size — big here, little there?” Then step back and let them do it.
  5. Celebrate each new arrangement: “Two ways! I wonder if there’s a third?” Keep going for as many groupings as they can find — colour, shape, size, what-they’re-for.
  6. Land the big idea by pointing at one object: “Look — this car was in the red group and the with-wheels group and the toys group. The same car is lots of things at once!” Invite them to name two groups another object belongs to.
  7. Stop while it’s fun — you don’t have to find every grouping in one go.

Variation: use picture cards (apple, fire engine, strawberry, leaf, banana, frog) so groups can be by colour, by kind (fruit/vehicle/animal), or by where you find them. Collect leaves, stones, and sticks on a walk and regroup by colour, size, smooth/rough, or living/not. Tip a toy bin out and regroup by colour, by size, by type, then by what makes a noise.

Requirements

  • Space: A small clear area — a tabletop or a patch of floor
  • Surface: A flat table, rug, or tray that keeps pieces from rolling away
  • Materials: 8–12 mixed household objects that vary on several features (toys, buttons, bottle caps, blocks, cutlery, socks) or a set of picture cards
  • Participants: One child with an adult or older sibling to pose the "find a different way" challenge; works in a small group too
  • Supervision: Active adult presence to scaffold and to keep small pieces away from under-3s

Rationale & Objective

This game exercises the core of cognitive flexibility: holding an object’s several features in mind at once and choosing which one to organise by. To sort a second way, the child has to picture each item along multiple dimensions (the car is red, and metal, and a vehicle, and has wheels), then disengage from the grouping they just made — a fresh, recently successful structure — and build a new one, which is the central demand of the Flexible Item Selection Task (Jacques & Zelazo, 2001). Producing that second grouping themselves, rather than switching on command, draws on abstraction and self-directed reflection, not just rule-following (Blaye & Jacques, 2009). Underneath sits the conceptual leap Piaget studied as multiple classification: one item can belong to many categories at once, so “the red things” and “the toys” overlap (Inhelder & Piaget, 1964). The same insight powers early maths (sorting and comparing by attribute — the seed of sets and data), vocabulary (a thing has many labels), and later reading comprehension (grouping ideas under more than one heading). Honest framing — generating a second grouping unprompted is genuinely hard at five and emerges gradually across the year; the FIST is a measure of this ability, not proof that this game raises it, so scaffold and play rather than test, and treat a confident single sort as real progress.

Progress Indicators

  • Early: sorts the items one way, then re-creates the same grouping (or piles at random) when asked for a different way; doesn’t yet see a second organisation
  • Developing: finds a second way once the adult names a feature to use (“try by size”); can carry it out when the dimension is handed to them
  • Proficient: generates a second grouping on their own and can state both rules (“first by colour, now by shape”); beginning to notice one item sits in more than one group
  • Advanced: spontaneously finds three or more groupings and explains an object’s multiple memberships (“the banana is yellow AND a fruit AND a long thing”); can also guess the hidden rule behind an adult’s secret sort

Safety Notes

  • Choking hazard: buttons, beads, and coins are dangerous for under-3s — keep younger siblings away or switch to larger objects or picture cards
  • Keep it pressure-free — this is a discovery game, not a quiz; no scores and no “hurry up”
  • Don’t overrule creative groupings: a child’s quirky category is fine if they can justify it (“these are the ones I like”) — ask them to explain rather than correcting
  • If finding a second way feels too hard, model one yourself or do it together, then try again another day
  • Check objects are clean if a child still mouths things, and supervise accordingly

Hints

  • Playfulness: act amazed at each new arrangement — “No WAY, the same stuff made totally different groups?!” Make finding a hidden way feel like cracking a secret code
  • Sustain interest: keep rounds short and swap in a few new or favourite objects; make it “how many ways can we beat last time?” rather than one long sort
  • Common mistake: insisting on the “right” categories or rejecting a child’s valid alternative — if they sort “things that are soft” or “things I’d take to Grandma’s,” that’s a real grouping; ask for the rule instead of fixing it
  • Limited materials: no kit needed — a handful of socks, spoons, and bottle caps, or the toys already in the bin, give you colour, size, shape, and kind to regroup by
  • Cross-domain: naming the rule aloud feeds maths (sorting and comparing by attribute, early data); “what else is this?” grows vocabulary; grouping by living/non-living or floats/sinks seeds early science
  • Progression: sort one way → find a second way with a hint → find a second way alone → find three or more ways → name the several groups one item belongs to → guess the rule behind an adult’s secret grouping

Sources

  • Jacques, S. & Zelazo, P. D. (2001). “The Flexible Item Selection Task (FIST): A measure of executive function in preschoolers.” Developmental Neuropsychology, 20(3), 573–591
  • Blaye, A. & Jacques, S. (2009). “Categorical flexibility in preschoolers: contributions of conceptual knowledge and executive control.” Developmental Science, 12(6), 863–873
  • Deák, G. O. (2003). “The development of cognitive flexibility and language abilities.” Advances in Child Development and Behavior, 31, 271–327
  • Inhelder, B. & Piaget, J. (1964). The Early Growth of Logic in the Child: Classification and Seriation. Routledge & Kegan Paul (orig. French 1959)
  • Diamond, A. (2013). “Executive Functions.” Annual Review of Psychology, 64, 135–168
  • Zelazo, P. D. (2015). “Executive function: Reflection, iterative reprocessing, complexity, and the developing brain.” Developmental Review, 38, 55–68
  • Head Start ELOF — Approaches to Learning (P-ATL 9: flexibility in thinking and behavior) and Mathematics (P-MATH 8: comparing objects by measurable attributes; sorting by colour, shape, size, and material)
  • Common Core State Standards for Mathematics — K.MD.B.3: classify objects into given categories and count the number in each (the next step this play builds toward)