
05382944
a
2009a.00345
Jones, Ian
Arithmetical notating as a diagrammatic activity.
K\"uchenmann, D. (ed.), Proceedings of the British Society for Research into Learning Mathematics. Vol. 27 (2). Contributions of the day conference, Sheffield, UK, June 16, 2007. London: BSRLM. 3136 (2007).
2007
London: BSRLM
EN
H23
H33
E43
arithmetical equivalence
equations
educational research
mathematical language
Summary: Qualitative data is presented from the trialling of a softwarebased arithmetical notating task designed to foster engagement with the structure of equality statements. The design rationale is ``diagrammatic activity'' (D\"orfler, 2006) where arithmetic inscriptions onscreen are observed and manipulated according to operational rules. The data suggest that the children's readings of arithmetical notation were transformed from computation to pattern awareness and substitution making. This afforded the emergence of commutative and partitional meaning making for $a+b=b+a$ and $c = a+b$ syntaxes respectively.