Three Bears Move House — Kitchen Tower Puzzle
A home-made, three-piece version of the classic Tower of Hanoi puzzle: Papa, Mama, and Baby Bear (three different-sized lids or bowls) must move from one “house” to another, one at a time, without a big bear ever sitting on a smaller one.
- Set up three houses — three placemats, plates, or sheets of paper in a row. Find three stackable things in clearly different sizes: jar lids, plastic bowls, or nesting cups turned upside down.
- Start with just two bears. Stack them on the left house, big one on the bottom. “The bears are moving to the house at the far end.”
- Teach the three rules with actions: one bear moves at a time; only the bear on top can move; a bigger bear can never sit on a smaller bear — he’d squash him!
- Let your child solve the two-bear move (it takes three moves). Celebrate, then let them do it again to prove it.
- Add Papa Bear for the three-piece puzzle. Before the first move, ask: “Hands on your knees — where should Baby Bear go first?” Then let them try.
- When they get stuck, don’t show the answer. Ask: “Who needs to get out of the way so Papa can move?” Going backwards is allowed.
- Stop after two or three attempts. The best three-bear solution takes seven moves; getting there over several days is normal.
Variation: have your child tell you the moves while you act as their hands — it forces planning in words. Or set a different target: “Can you get the bears so Baby is alone in the middle house?”
Requirements
- Space: A small table or patch of floor about 60 cm wide
- Surface: Any flat, stable surface; three placemats, plates, or sheets of paper mark the houses
- Materials: Three stackable objects in clearly different sizes (jar lids, plastic bowls, nesting cups, or coasters cut from cardboard) and three mats or plates
- Participants: 1 adult + 1 child; works as a quiet solo puzzle once the rules are known
- Supervision: Light — an adult teaches the rules and asks guiding questions, then mostly watches
Rationale & Objective
Tower tasks are the classic laboratory measure of planning: to succeed, a child must look ahead, work out that a piece blocking the goal has to be moved away first, and hold that sub-goal in mind while resisting the tempting direct move. Klahr & Robinson (1981) showed that preschoolers can plan several moves ahead on a child-friendly, story-based version of the Tower of Hanoi, and Welsh (1991) documented how young children’s rule-following and self-monitoring on the task improve with age. Studies comparing 4- and 5-year-olds on the related Tower of London show marked growth in planning across that year (Kaller et al., 2008; Unterrainer et al., 2013). The step that matters most developmentally is the counter-intuitive move — sending a bear to the “wrong” house in order to free another — because it requires inhibiting the obvious action in favour of a plan (Diamond, 2013). Pausing with hands on knees before the first move builds the habit of thinking before acting; having the child dictate the moves makes the plan explicit in language.
Progress Indicators
- Early: moves pieces by trial and error and breaks the size rule often; needs the rules repeated; solves the two-bear version with help
- Developing: keeps to the rules on the two-bear puzzle and solves it reliably; on three bears makes many extra moves and sometimes gets stuck in a loop
- Proficient: solves the three-bear puzzle with few rule breaks, pauses before moving, and corrects a wrong move independently; can explain why a bear had to move out of the way
- Advanced: solves three bears in close to the minimum seven moves, can say the first two or three moves before touching anything, and manages a new start or goal arrangement
Safety Notes
- Use unbreakable items — plastic lids and bowls, not glass or ceramic — and avoid pieces small enough to be a choking hazard if a younger sibling is around
- This puzzle is genuinely hard, and frustration is the main risk. End on a success (go back to two bears) rather than pushing through tears
- Avoid timing the puzzle or counting mistakes aloud; speed pressure makes young children act more impulsively, which is the opposite of the goal
- Many 5-year-olds cannot yet solve the three-piece version efficiently, and that is within the normal range — it is not a sign of a problem
Hints
- Playfulness: draw bear faces on the lids, or theme it differently — pancakes moving between plates, dinosaurs crossing islands, monkeys jumping between trees
- Sustain interest: keep the three pieces in a small bag as a ready-made quiet game for waiting rooms and restaurants. Bring it out once or twice a week rather than daily
- Common mistake: demonstrating the solution. A child who copies seven memorised moves has practised memory, not planning. Ask a question about the blocked piece instead
- Limited space: three coins of different sizes and three circles drawn on paper make a pocket version; outdoors, use three sizes of stone on three chalk circles
- Cross-domain: use size words — biggest, middle-sized, smallest (math vocabulary and seriation); count the moves together afterwards (numeracy); retell the move as a Three Bears story (narrative language)
- Progression: two pieces → three pieces with free exploration → three pieces, plan the first move aloud → child dictates and adult moves → different start and goal positions → four pieces for children who ask for more
Sources
- Klahr, D. & Robinson, M. (1981). “Formal assessment of problem-solving and planning processes in preschool children.” Cognitive Psychology, 13(1), 113–148
- Welsh, M. C. (1991). “Rule-guided behavior and self-monitoring on the Tower of Hanoi disk-transfer task.” Cognitive Development, 6(1), 59–76
- Kaller, C. P., Rahm, B., Spreer, J., Mader, I. & Unterrainer, J. M. (2008). “Thinking around the corner: The development of planning abilities.” Brain and Cognition, 67(3), 360–370
- Unterrainer, J. M., Ruh, N., Loosli, S. V., et al. (2013). “Planning steps forward in development: in girls earlier than in boys.” PLoS ONE, 8(11), e80772
- Diamond, A. (2013). “Executive Functions.” Annual Review of Psychology, 64, 135–168