Cairn Pattern™
Age 3Age 4Age 5Age 6
What comes next? Finishing patterns is how a child first learns to think in steps.
The science
Patterning, continuing red-blue-red-blue or finding the odd one out, is an early form of reasoning that predicts later math achievement (Rittle-Johnson and colleagues). A child who can spot and extend a rule is practising the same move that later solves equations and matrix puzzles. Cairn Pattern grows from simple repeats to genuine reasoning.
Fluid reasoning is the ability to handle a new problem you were never taught the answer to. It shows up early as patterning and grows into the matrix and analogy puzzles used in school-readiness assessments like the WPPSI and OLSAT.
Rittle-Johnson's research found that preschool patterning skill predicts math achievement years later, even after controlling for general ability. Pattern is not decoration in early math, it is foundational.
We build it the honest way: start with what repeats, move to what grows, then to the why. The child explains the rule, which is where reasoning actually lives.
Rittle-Johnson on patterning and math. WPPSI Matrix Reasoning / Picture Concepts. Research on fluid reasoning in early childhood.
By age, and how to do it at home
Here is what is developing at each age, what Cairn Pattern does about it, and a way to build the same skill at home. The home column is the real point: even if your child never opens the app, you can do this. The best early learning has always been a parent and a child and a little knowing-what-to-try.
Notices same and different and enjoys simple repeats like clap-stomp-clap-stomp.
Two-item color and shape repeats, with the pattern said and shown.
Make patterns with toys: spoon, fork, spoon, fork. Ask “what comes next?”
Copies and extends a simple repeating pattern and spots the odd one out.
Three-item patterns to continue, and find-the-one-that-does-not-belong.
Thread bead patterns, or sort the laundry by color into a repeating line.
Finds the rule in a pattern and can fix a broken one.
Growing patterns, missing-middle puzzles, and the first picture analogies.
Spot patterns in the world: stripes, tiles, day and night, the days of the week.
Handles patterns that change in two ways at once and explains the rule.
Two-rule patterns, simple matrices, and “which picture finishes the set” puzzles.
Play “guess my rule”: sort objects by a secret rule and have them figure it out.
In the workshop.
This game is on the bench, built one at a time and only shipped when it clears all six of our promises. The science and the at-home guide above work today, with or without the app. Want to know when it lands? hello@playcairn.com.
See the whole libraryThe pedagogy behind every Cairn game is written in plain language and cited. Questions, or a researcher who wants to argue with us? hello@playcairn.com.