median
don steward
mathematics teaching 10 ~ 16

Friday, 9 May 2014

warp and weft multiplication and equations

I like the 'warp and weft' idea
these are some efforts to further use such an array (please see the previous post)

these tasks use an idea from John Mason with Alan Graham and Sue Johnston-Wilder in their book 'developing thinking in algebra' published by the Open University in 2005

it can (hopefully and helpfully) take attention away from what is to be practiced and place it on pattern spotting and relationships

with multiplication sums, continuing the patterns might focus attention on how to adjust one sum to obtain results for a related sum

students are asked to complete the array i.e. to replace the four stars:

















with equations, the focus can be on how the patterns continue; solving the equations contributing to this appreciation:




















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