This presentation reflects on over three decades of research focused on the development of mathematical structure. 'Looking back', it traces the key theoretical influences that informed a series of studies on children's imagery, patterns and relationships including multiplicative reasoning and spatial structuring. 'Looking beneath', the development of Awareness of Mathematical Pattern and Structure is highlighted through an interview-based assessment and pedagogical program. 'Looking beyond', it raises key questions about the importance of developing deep mathematical thinking leading to generalisation, and realising this possibility for young children.
|Title of host publication||40 years on : we are still learning!|
|Subtitle of host publication||Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia : MERGA 40|
|Editors||Ann Downton, Sharyn Livy, Jennifer Hall|
|Place of Publication||Melbourne|
|Number of pages||10|
|Publication status||Published - 2017|
|Event||Annual Conference of the Mathematics Education Research Group of Australasia (40th : 2017) - Melbourne, Australia|
Duration: 2 Jul 2017 → 6 Jul 2017
|Conference||Annual Conference of the Mathematics Education Research Group of Australasia (40th : 2017)|
|Abbreviated title||MERGA 10|
|Period||2/07/17 → 6/07/17|
Mulligan, J. (2017). In search of mathematical structure: looking back, beneath, and beyond - 40 years on. In A. Downton, S. Livy, & J. Hall (Eds.), 40 years on : we are still learning!: Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia : MERGA 40 (pp. 32-41). Melbourne: MERGA.