What one small home-math pilot can and cannot tell families

What the September study actually tested

A pilot randomized trial published on September 1, 2026, studied a home mathematics program with 20 children aged 60 to 72 months from ten preschools in Türkiye. Ten children joined the program and ten continued their usual preschool routine. The intervention ran for five weeks: researchers made two home visits a week, and each 40-minute visit included two activities. The activities moved through matching, classification, comparison, sequencing and basic number operations. The researchers reported higher post-test reasoning scores for the intervention group. ^[1]

That is an encouraging signal about one structured program, not proof that a particular game will improve every child’s mathematics. The sample was small, the visits were delivered with researcher involvement, and the children and adults could not be blinded to who received the program. The authors themselves call for larger trials. A family can borrow the broad idea of talking about patterns and quantities, but this article’s activity is an original everyday example, not the tested program. ^[1]

Turn a small set into a comparison

Choose a few familiar, safe objects your child can handle, such as large blocks or pairs of socks. Start with one question that has a visible answer: Which group has more? Which objects match? What changed when one block moved? Let the child arrange the objects before you name a category. A pair of socks can be matched by colour or size; blocks can be sorted by shape, then resorted by another feature.

Keep the first round small enough to see. If there are six blocks, the child might make a group of four and a group of two, then explain how they decided. Ask ‘What is the same?’ or ‘How do you know?’ rather than asking a string of quiz questions. A child may notice a different rule than the adult expected; ask them to show the rule and see whether it holds for the whole set.

The National Association for the Education of Young Children’s early-mathematics position statement describes using objects, real-life number stories, and questions about how many were added or remain. This supports using concrete materials and conversation as a general teaching approach. It does not validate this particular block activity or require a formal lesson at home. ^[2]

Move from sorting to sequence and number

After matching, try a sequence with a clear pattern: blue block, yellow block, blue block, yellow block. Pause before the next piece and let the child decide what fits, then ask what clue they used. For a quantity question, set out five blocks, add one, and ask what changed. Count together if useful; the goal is to connect the action to the words ‘five,’ ‘one more,’ and ‘six,’ not to demand a fast answer.

Change one feature at a time. If you change the objects, the rule and the question all at once, it becomes difficult to tell what the child is reasoning about. Use ordinary language first, then introduce a school term when it fits. If the child prefers arranging the blocks over explaining aloud, accept pointing or showing as a response and model a short description yourself.

Keep practice brief and responsive

A five-minute exchange can be enough for an ordinary home moment. Stop or switch activities if the child is tired, frustrated or ready to play another way. Do not turn a missed pattern into a judgment about ability. Make the task easier by using fewer objects, showing one example, or inviting the child to choose the sorting rule.

If a teacher has suggested a particular skill, ask what the class is currently learning and how the home example can use familiar language. The pilot does not establish a developmental timetable or tell families how much practice a child needs. It offers a reason to notice the mathematics already present in matching, comparing, ordering and counting, while keeping claims about the intervention appropriately modest.