id: 06639072
dt: a
an: 2016f.00225
au: Coles, Alf
ti: Absolute and relational representations: the challenge of Caleb Gattegno
and Bob Davis.
so: Barmby, P. (ed.), Proceedings of the British Society for Research into
Learning Mathematics (BSRLM). Vol. 34, No. 1. Proceedings of the day
conference, King’s College, London, UK, March 1, 2014. London:
British Society for Research into Learning Mathematics (BSRLM). 37-42
(2014).
py: 2014
pu: London: British Society for Research into Learning Mathematics (BSRLM)
la: EN
cc: C30 E40 D20
ut: teaching; learning; concept formation; absolute representations; relational
representations; symbols; fluency; understanding of mathematical
concepts; cognitive psychology; mathematics and philosophy
ci:
li: http://www.bsrlm.org.uk/IPs/ip34-1/BSRLM-IP-34-1-07.pdf
ab: Summary: How do we learn mathematical concepts? How can we learn them fast?
In this paper, I offer a lighting on the work of Gattegno and Davis and
suggest that one common feature was a linking of mathematical concepts
and symbols to relations (e.g., relations between physical objects, or
actions performed on the objects). Visible and tangible resources are
used to support the awareness of relationships between symbols, rather
than offer a meaning for symbols. I suggest a distinction between an
‘absolute’ and a ‘relational’ representation of mathematical
concepts (I am endebteed to Tim Rowland for suggesting these labels at
a BSRLM conference).
rv: