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Concrete before abstract30–33 months

Number Rods

Ten rods in alternating red and blue segments, so that 'seven' is a thing you can pick up and feel the weight of.

By the Educate With Play editorsReviewed How we work
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Offer it around
30–33 months
Montessori principle
Concrete before abstract
What you may see
  • Counts with one-to-one correspondence
  • Orders quantities from smallest to largest
  • Recognises that a longer rod means more

Most early counting teaches a child to recite a sequence of words. Reciting 'one two three four five' is a memory feat, not a mathematical one, and plenty of children can do it fluently without having any idea that five is more than three. The number rods attack this directly by making quantity physical: the rod for seven is longer and heavier than the rod for three, and you can lay one against the other and see the difference.

The alternating red and blue segments are what turn a stick into a number. Each segment is one unit, so the child counts along the rod — one, two, three — touching each coloured band, and reaches the end exactly at the rod's name. The rod is simultaneously a single object and a collection of units, which is a genuinely subtle idea delivered without a word of explanation.

At two and a half the work is ordering the rods into a stair and counting along them. Later the same material carries addition — the four rod and the six rod laid end to end match the ten rod, and the child discovers this rather than being told. Number symbols come after all of this, not before.

What to look for

  • Accurate 10cm segment divisions
  • Clear red/blue alternation starting with red
  • Small (10cm–1m) set for home use
  • Solid wood with square section

Not this

Number tiles and worksheets at this age. The symbol should arrive after the quantity is thoroughly familiar.

Safety

The longer rods are heavy — teach two-handed carrying and keep the work on the floor.

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Also for 2–3 years

The rest of this stage