Skill shelf · counting, shapes, patterns and working it out · 15 activities

Numbers, Shapes and Thinking

Everything where a child has to work something out: which hole it fits, what order it goes in, how many there are, and what ten of them make.

This shelf starts long before counting does. A two year old turning a peg until it drops into its hole is doing geometry with her wrist, and she will do it forty times. Shapes, matching and sequence run from two upwards. Number arrives later, around five, and when it does it arrives as objects: one bean, a bundle of ten, a bag of a hundred, a box of a thousand, all the same bean.

Nothing here is a worksheet. Place value is half a kilo of beans and a walk to the bank at the other end of the table. A plan of a maze is real tape on a real floor, drawn onto squared paper and then walked. Geometry is a tin standing in a torch beam, throwing a circle one way round and a rectangle the other. The argument is always in the hand first and on paper afterwards, if it gets to paper at all.

Pick by the thing your child already does without being asked. If she lines things up, start with patterns and sequencing. If he fits things into things, start with shapes and space. If counting has started turning up in conversation, counting and quantity is where it goes next. Choosing one step below where you think she is costs nothing, and our difficulty ladder is about how to tell.

The fifteen

Ordered by the age each one suits best. Every line gives the setup time, the play time and whether anything has to be bought.

Where something has to be bought, the line says so and so does the top of its own page. The rest of this shelf is beans, card, tape and a torch.

Where to go from here