So the day to announce the next #mathsjournalclub article as come, and it was a landslide victory, garnering over 52% of the votes.
The article you have chosen is “Mathematical études: embedding opportunities for developing procedural fluency within rich mathematical contexts” by Colin Foster, as published in the International Journal of Mathematical Education in Science and Technology.
The abstract is reproduced below and the article can be downloaded by clicking on this link.
- In a high-stakes assessment culture, it is clearly important that learners of mathematics develop the necessary fluency and confidence to perform well on the specific, narrowly defined techniques that will be tested. However, an overemphasis on the training of piecemeal mathematical skills at the expense of more independent engagement with richer, multifaceted tasks risks devaluing the subject and failing to give learners an authentic and enjoyable experience of being a mathematician. Thus, there is a pressing need for mathematical tasks which embed the practice of essential techniques within a richer, exploratory and investigative context. Such tasks can be justified to school management or to more traditional mathematics teachers as vital practice of important skills; at the same time, they give scope to progressive teachers who wish to work in more exploratory ways. This paper draws on the notion of a musical e ́tude to develop a powerful and versatile approach in which these apparently contradictory aspects of teaching mathematics can be harmoniously combined. I illustrate the tactic in three central areas of the high-school mathematics curriculum: plotting Cartesian coordinates, solving linear equations and performing enlargements. In each case, extensive practice of important procedures takes place alongside more thoughtful and mathematically creative activity.
This looks a really interesting article and I hope that many of you will join us (despite it being term time) for the discussion on Monday 19th October at 8pm.
The second and third place articles will now go through to the next poll, along side some other suggestions.
I hope you enjoy this article!