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Time: 16 hours
Level: Intermediate
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 Introduction Resource- This unit is aimed at teachers who wish to review how they go about the practice of teaching maths, those who are considering becoming maths teachers, or those who are studying maths courses and would...
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| | 1 Experiences of learning mathematics
- 1 Experiences of learning mathematics Resource
- You will come to this unit with many memories of mathematics, both as a teacher and a learner. It may help if you start by recalling memories of learning mathematics and making a record of them in your...
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| | 2 Mathematics: to know or to do?
- To know or to do? Resource
- The so-called ‘content/process’ debate in mathematics involves discussion of the relative importance of content and process in mathematics. It originated as part of a discussion about the nature of mathematics,...
- Content Resource
- School mathematics curricula often focus on lists of content objectives in areas like number, arithmetic, statistics, measurement, geometry, trigonometry, and algebra. A typical list of content objectives...
- Process Resource
- Mathematical processes are different from content in that they overarch the subject and are not thought of as hierarchical. A list of processes could contain:
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| | 3 Designing alternative programmes and curricula
- 3 Designing alternative programmes and curricula Resource
- Assuming that both the content of mathematics and the processes need to be included in programmes and curricula, the problem becomes one of how a suitable curriculum can be structured. One possibility...
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| | 4 Studying the Möbius band
- 4 Studying the Möbius band Resource
- Take a long thin strip of paper (preferably squared or graph paper) about 30 cm by 3 cm. Give one end a half twist and then tape it together. This is a Möbius band as shown in Figure 1.
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| | 4 Do, talk and record triad
- 4 Do, talk and record triad Resource
- The do–talk–record triad (DTR) is a description of what is likely to take place in collaborative mathematics classrooms. It is concerned with observable events, and with the learner rather than the teacher,...
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- Summary Resource
- In this unit you have been introduced to the difference between mathematical content and processes. You have worked on the do–talk–record (DTR) framework for learning mathematics.
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- Bibliography Resource
- Ahmed, A. (1987) Better Mathematics, London, HMSO.
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| | References and Acknowledgements | |
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