7.1 Translating your plan

You have now reached the stage when it is time to translate your plan, whatever its form, into the assignment itself. It is likely that this will be a first attempt at the exercise – a first draft. You may be one of the lucky few who only needs to write one draft. Or, if you have taken some time over your planning, one draft before the final version may be enough. But if you are finding it difficult to reconcile opposing points of view or to fit in a great deal of information, you may need
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6.1 Knowledge and society

If I have seen farther than others, it is because I was standing on the shoulders of giants.

Sir Isaac Newton (Letter to Robert Hooke, 1676)

At the foreground of this final part of the unit is one of its more important themes – that knowledge is something held, developed and perpetuated both by and in the context of communities, societies and cultures. Newton's declaration to Hooke (above
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4.4 Summary

In this section, you have had the opportunity to work on some mathematical activities yourself. This should have enabled you to:

  • reflect on how you approach mathematics and what helps you to work on a piece of mathematics;

  • remind yourself of those pieces of mathematics that you can work at successfully;

  • identify aspects of mathematics that you can strengthen as you work through the later blocks of this unit;


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    Licensed under a Creative Commons Attribution - NonCommercial-ShareAlike 2.0 Licence - see http://creativecommons.org/licenses/by-nc-sa/2.0/uk/ - Original copyright The Open University

4.3 Thinking mathematics

‘Thinking mathematically’ is something that everyone does. It involves:

  • problem-solving and decision-making;

  • logical reasoning;

  • communication (including using diagrams, charts, graphs and symbols);

  • making connections and recognising common characteristics;

  • using mathematical tools, including calculations and measures.

Much of the mathematical thinking done in
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4.2 Knowing mathematics

How much mathematics do you think you know? You may feel that you know quite a lot, or that you are ‘out of practice’ and have forgotten much of it; or perhaps you were never very secure in your mathematical knowledge and feel that you did not achieve complete understanding. Primary teachers are expected to have a confident knowledge of mathematics. You are not expected to reach such a level for this unit, but you do need to know a fair amount. All the mathematics that children go on
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4.1 From awareness to understanding

In this section the mathematical content is more obvious as we talk explicitly about what it means to know and to think in mathematics. We will also address your own personal knowledge in the subject.

Like any other activity, doing and learning mathematics involves:

  • using and adapting existing knowledge;

  • acquiring and constructing new knowledge through thinking and learning;

  • building up links that enable known t
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References

Brooker, L. (2002) Starting School: Young children learning about cultures, Buckingham and Philadelphia, Open University Press.
Brown, A. L, Ash, D., Rutherford, M., Nakagawa, K., Gordon, A. and Campione, J. C. (1993) ‘Distributed expertise in the classroom’ in Salomon, G. (ed.) Distributed Cognitions: Psychological and educational considerations, Cambridge, Cambridge University Press.

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