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Learning & development: Mathematics - Marking time

Alongside or apart from what adults teach them, children will represent and explore mathematical ideas with their own creative methods, as Elizabeth Carruthers and Maulfry Worthington explain.

Children's mathematical graphics is a term used to describe when children choose to use their own marks and representations to explore and communicate their mathematical thinking. This term is based on our analysis of more than 700 examples, in which children from two to seven years old explored their mathematical thinking.

These marks can include scribbles, drawings, writing, tally-type marks, invented and standard symbols including numerals, as children make their own personal mathematical meanings.

When children choose their own symbols, graphics and layouts to help their mathematical thinking, they understand what they are doing because they have explored their own thinking processes. These processes link with the early learning goal: 'Use developing mathematical ideas and methods to solve practical problems' (Practical Guidance for the EYFS, page 76). What is important to understand is that children's own problem-solving lies at the heart of their mathematical graphics.

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