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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al hex

Al trap

alg square

Algebra boxes

Algebra triangle

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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Two big ideas (but six concepts)

 

Equations- Formulae – Identities

Sequences- Functions – Graphs

  • An equation is : : A connection indicating equality between 2 expressions

x - 4 = 9 (with a limited or finite number of solutions)

  • A formula is: A formal rule expressing a result Area = Length * Width

  • An Identity is: An equation that is true for all values of the variables.

x2 – y2 ≡ (x – y) (x + y)

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Pages

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