# Mathematical Thinking It is central to mathematics learning;

Mathematical Thinking It is central to mathematics learning; the glue that both develops and holds mathematics learning together It involves: Looking for pattern and relationships Logical Reasoning Making Connections

Perhaps we can think of reasoning as systematic thinking. Hundred square has been printed on both sides of a piece of paper one square directly behind the other. What number is on the back of 100?

Hundred Square challenge (Nrich) In this task pupils have to use coded jigsaw pieces to complete a hundred square. Making the decision how to tackle the activity involves reasoning.

s Coded Hundred Square (Nrich) What reasoning is needed here? Amy has a box containing ordinary domino pieces but she does not think it is a complete set.

She has 24 dominoes in her box and there are 125 spots on them altogether. Which of her pieces are missing? Amys Dominoes (Nrich) s Coded Hundred Square (Nrich)

Mathematical Coherence The teacher holds the string of a kite and lets it unravel so that the pupils can go their own way to explore and make their own sense of the mathematics, but the teacher must also reel the kite back in on a regular basis, to ensure that all pupils have made the most valuable

connections and developed correct understanding of the mathematical ideas.

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