“This isn’t just a game—it’s a real treasure chest of geometry, combinatorics, logic, and pattern recognition tasks,” says the author of a hugely popular child development book.
There are quite a few varieties of mosaics available—plastic, magnetic, ones with letters, and ones with little pegs. For mathematical purposes, a rectangular mosaic board with colourful peg buttons works best. This way, we develop not only spatial thinking and concentration, but also fine motor skills. Ideally, you should have several boards (it’s convenient for working with multiple children, and you can also “connect” boards to each other). The larger the pegs, the better. As children grow, you can reduce their size.

Following a Pattern: Pegboard
The first task is to create a figure following a pattern. Usually, these come with the mosaic sets, but if you don’t have any, you can make up patterns yourself by drawing them with markers.
Symmetry

Mathematician Alexander Zvonkin recommends starting with the principle “from simple to complex.” First, lay out an axis on the board with pegs of one colour—a vertical line running down the middle of the field. This line will be the “mirror,” and different figures will be reflected in this mirror.
Build a simple figure on one side—a square, rectangle—and ask the child to repeat it on the other side of the “mirror.” You can vary the colour, size, and position of the figures. To check how accurately the children managed to mirror your figure, take a real mirror. If it’s the same, everything’s fine. If not, let’s try to fix it.
In the next session, you can change the axis position: first, make it horizontal, then diagonal. The figures you create can become progressively more complex. Make multicoloured diamonds, create butterflies. Check with the mirror. Symmetry, according to Zvonkin, is a rich topic—definitely search online for photos of snowflakes and other examples of symmetry in nature, or look in H. Weyl’s book “Symmetry.”
Learning to Write
According to Maria Montessori’s definition, reading is the transformation of sounds into symbols. That’s exactly what we’ll do with the mosaic. We’ll compose keywords, and then move on to sentences. This is especially useful when learning a foreign language.
I give the child cards with so-called sight words or basic words, and they copy them for me on the mosaic. The spelling rules pass through the “hand.”

Why This Works:
The mosaic board is a brilliant multisensory tool. Children aren’t just seeing letters and patterns—they’re building them, peg by peg. Each placement requires precision, planning, and physical engagement. When a four-year-old recreates the word “the” or “cat” with colourful pegs, they’re encoding that word into muscle memory. The tactile experience of pushing each peg into place creates a stronger neural pathway than simply writing with a pencil.
And for symmetry work? There’s something magical about the moment a child places that final peg and realises their butterfly’s wings are perfectly balanced. Mathematics becomes visible, tangible, and deeply satisfying.
