Tally Keepers — Score It with Sticks and Bundles

The child becomes the official scorekeeper of a simple game, making one mark for every point and learning that a mark on paper can “hold” something that has already happened.

  1. Pick any quick game with points — rolling a ball at a plastic-bottle skittle, tossing rolled socks into a laundry basket, or flipping a coin for heads.
  2. Draw a line down the middle of a sheet of paper and put a small picture or initial at the top of each side — one for each player.
  3. Explain the job: “Every time someone scores, you draw one stick under their picture. One point, one stick — no more, no less.”
  4. Play 8–10 turns. After each turn pause and let the child make the mark (or decide that no mark is needed).
  5. At the end, hide the ball or socks and ask: “The game is over and everything is put away — how can we still find out who won?” Count the sticks together.
  6. Once one-stick-per-point is easy, show the bundle trick: the fifth mark is a slash across four sticks, “like a gate that closes.” Count the bundles by fives, then the loose sticks.

Variation: use tallies for a “survey” instead of a game — one mark for every red car that passes the window versus every white car, or every bird that lands in the garden during breakfast.

Requirements

  • Space: Any room or outdoor spot big enough for the chosen game
  • Surface: A table, clipboard, or the floor for the score sheet
  • Materials: Paper and a pencil or crayon; items for a simple scoring game (ball and bottle, socks and basket, or a coin)
  • Participants: 1 adult + 1 child; works well with siblings taking turns as scorekeeper
  • Supervision: Light — adult plays the game and models the first few marks

Rationale & Objective

A tally mark is one of the simplest symbols there is: a stroke that looks nothing like a goal or a sock, yet stands for exactly one of them. Using marks to keep score asks the child to hold one-to-one correspondence between events and symbols and then to read the record back after the events themselves are gone — the essence of representational thinking (Piaget’s semiotic function). Hughes (1986) showed that young children understand written number far better when the marks serve a purpose they care about, and Worthington & Carruthers describe tallying as a natural bridge between children’s own mathematical marks and conventional notation. Teaching Strategies GOLD Objective 14 looks for children using symbols to represent something not present; HighScope’s “Number words and symbols” and “Data analysis” indicators cover recording and reading back quantities. Bundling in fives also previews grouping and skip-counting.

Progress Indicators

  • Early: scribbles or draws a picture of the event instead of a mark; makes several marks for one point or forgets to mark; cannot say who won from the sheet
  • Developing: makes one stick per point with reminders; counts the sticks to find the winner but may put marks on the wrong side or recount several times
  • Proficient: keeps an accurate one-mark-per-point record without prompting; reads the sheet back after the game (“you got six, I got four”); starts to use the five-bundle with help
  • Advanced: bundles in fives independently and counts “five, ten, eleven, twelve”; chooses to tally on their own in other situations; explains to someone else what the marks mean

Safety Notes

  • Choose a scoring game that suits the space — soft balls or rolled socks indoors, and keep throwing lanes clear of siblings and breakables
  • Scorekeeping makes winning and losing very visible; if the child gets upset, switch to a cooperative target (“can we get ten marks together?”)
  • Do not insist on the five-bundle before one-mark-per-point is solid — it is a later step and pushing it causes frustration
  • If a 5-year-old cannot yet count five objects reliably with one-to-one touching after plenty of everyday practice, mention it at the next health or preschool check-in

Hints

  • Playfulness: give the child a clipboard, a whistle, and the title “Official Scorekeeper.” Announce the final result like a sports commentator reading from their sheet
  • Sustain interest: change what is being counted — goals one day, birds at the feeder the next, how many times the dog barks during dinner, who laughs most at a silly story
  • Common mistake: adults count the points in their head and tell the child the answer. Stay quiet and let the sheet be the only memory — that is what makes the marks matter
  • Limited space: no room for a game? Tally from the sofa — spoonfuls of peas eaten, pages read, red things spotted in a picture book. Outdoors, scratch tallies in sand or soil with a stick
  • Cross-domain: the scorekeeper must watch every turn (attention), make controlled short strokes (fine motor), and report results in full sentences (language); comparing columns is early data handling
  • Progression: one mark per point with adult help → independent tally for one player → two columns → the five-bundle → counting bundles by fives → writing the numeral next to each finished column

Sources

  • Hughes, M. (1986), Children and Number: Difficulties in Learning Mathematics — young children’s own written representations of quantity
  • Worthington, M. & Carruthers, E. (2003), Children’s Mathematics: Making Marks, Making Meaning — tallies and children’s mathematical graphics
  • Teaching Strategies GOLD — Objective 14 (uses symbols and images to represent something not present) and Objective 20 (uses number concepts and operations)
  • HighScope Key Developmental Indicators — Number words and symbols; Data analysis
  • Piaget, J. (1951), Play, Dreams and Imitation in Childhood — the symbolic (semiotic) function
  • NAEYC & NCTM joint position statement, “Early Childhood Mathematics: Promoting Good Beginnings”