How can I teach my preschooler math without worksheets?

Why early math matters, and what it really is

In 2007 a team led by Greg Duncan pooled six long-term studies of close to 36,000 children in the US, UK and Canada. Early math at about age 5, meaning knowing numbers and their order, was the strongest predictor of later school success, ahead of early reading and attention. It was observational, but the pattern held for boys and girls and for rich and poor families.

Notice what early math is not. When kindergarten teachers rated readiness skills, counting to 20 or more came near the bottom: only 8% called it very important. Reciting numbers is a party trick. Understanding them, like knowing that the last number you count tells you how many, is the real skill. And it grows from everyday talk.

Number talk: the math lesson hiding in your day

A University of Chicago team filmed 44 toddlers at home with a parent, five times between 14 and 30 months. Some parents said as few as 4 number words across all the visits; others said 257. The researchers estimated that works out to roughly 28 to 1,799 number words a week. Children who heard more number talk were better at a "point to five squares" test later on.

Easy ways to add it:

• Count things that are really there. "One, two, three crackers. Three!" Ending on the total teaches that the last number tells how many.
• Ask "how many?" when it's obvious. Socks on the bed, ducks in the pond, people at the table.
• Compare. "Who has more grapes, you or me?" (Cut grapes into quarters lengthwise for under-4s.)
• Count stairs out loud, every time.
• Set the table together. "How many forks do we need?"

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Board games with numbered squares

This one has a trial behind it. Researchers Ramani and Siegler had low-income preschoolers in Head Start play a simple race game on numbered squares, four sessions of about 15 minutes. Children who played the number version improved at counting, reading numerals, comparing numbers and placing them on a number line. Children who played the same game with colored squares didn't. The gains were still there 9 weeks later.

The detail that matters: say the numbers out loud as you move. "Seven, eight, nine!" Any simple game with a straight, numbered track works. You can draw one on paper with squares from 1 to 10 and use a coin to decide whether to move one space or two.

Board games practice turn-taking and waiting, too, which kindergarten teachers value highly. See what your child should know before kindergarten.

Shapes and space: puzzles, blocks and space words

Spatial skill means picturing shapes, turning them in your mind and fitting them together. It's linked to later math and science.

At the University of Chicago, Susan Levine's team filmed 53 families at home from when the children were about 2 until nearly 4. Children who did puzzle play had better spatial skills at 4½, even after accounting for parents' income, education and overall talk. In a study of over 100 3-year-olds, those better at copying block structures also did better on early math. Both studies were observational, but puzzles and blocks are cheap.

1. Start with 2-4 piece knob puzzles around 18 months to 2 years, then simple jigsaws.
2. Use space words on purpose: on top, under, next to, through, around, corner, curved, flat, turn it.
3. Build, then copy. You build a 3-block tower. Your child copies it. Swap roles.
4. Help with a small turn. If a puzzle piece won't fit, rotate it slightly and let your child push it in.

Choose plain toys where you can. In one study, parents used less spatial language with an electronic shape sorter than with a plain one. More in how many toys a toddler needs.

Guided play beats worksheets

In guided play, the child is still in charge, but an adult sets up the materials or drops in a question. A 2022 University of Cambridge review pooled 39 studies with about 3,800 children aged 3 to 8. Guided play did better than direct instruction for early math and shape knowledge, and wasn't worse on any outcome. Most studies were small, so treat it as promising.

A small Temple University study shows how it works. Sixty 4- and 5-year-olds learned about shapes through guided play, direct teaching or free play. The guided-play group understood shapes best, including odd-looking ones, and kept the advantage a week later.

So instead of a worksheet, try "I wonder how many blocks tall the tower can get?" or "Can you find something shaped like a triangle in the kitchen?" Then wait. Sorting games build math thinking too; our page on building self-control and focus includes "sort, then switch."

A week of math, no worksheets

By 5, the CDC's milestone list includes counting to 10. If your child gets there through stairs, crackers and board games, she's learning what the numbers mean along the way.

Go deeper

Grow a Genius

In the book: Chapter 26: Getting Ready for School Without Flashcards

The chapter's school-ready week folds number talk, board games and puzzles into 20 to 30 playful minutes a day, alongside sounds, letters, strong hands and friendships.

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