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.

  1. 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.
  2. 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.”
  3. 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!
  4. Let your child solve the two-bear move (it takes three moves). Celebrate, then let them do it again to prove it.
  5. 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.
  6. 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.
  7. 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