Algebra

References

 

Ainley, J., Bills, L. and Wilson, K., (2004). Constructing Meanings and Utilities within Algebraic Tasks. International Group for the Psychology of Mathematics Education.

Battista, M.T. and Borrow, C.V.A., (1998). Using spreadsheets to promote algebraic thinking. Teaching Children Mathematics4(8), pp.470-478.

Bicer, A., Capraro, R.M. and Capraro, M.M., (2014). Pre-service Teachers' Linear and Quadratic Inequalities Understandings. International Journal for Mathematics Teaching & Learning.

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Further Reading

 

Egodawatte, G., (2011). Secondary school students’ misconceptions in algebra. University of Toronto, Toronto.

https://www.ncetm.org.uk/media/dj5o223w/ncetm_ks3_representations_algebra_tilespdf.pdf

https://www.ncetm.org.uk/podcasts/using-algebra-tiles-at-ks3/

 

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Websites / Teaching Aids

Manipulatives

 

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Use of Technology

 

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Approaches

 

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Where to Start

 

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Timing

 

As algebra is the generalisation of number / arithmetic and given that a learners’ conceptual understanding of arithmetic varies in depth a length of time to acquire the timing and pace of introduction needs to be carefully planned.

 

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The curriculum

 

Investigating alternate approaches to the teaching of algebra such as the use of Algebra Tiles needs to be given serious consideration.

A good reference for further reading is the materials provided by National Centre for the Excellence in teaching Mathematics as is the audio extract.

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Errors and Misconceptions

 

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