Mathematical Thinking and Fluency
Derek Haylock and Anne Cockburn (2008), Understanding Mathematics for young children
Structure ⇔ mathematical relationship between elements
Emergent structure (involving analyzing/forming/ seeing local relationships)
Mathematical structure (involving analyzing/forming/ seeing general relationships)
ARCHITECTURE OF MATHEMATICAL STRUCTURE
HAMSA VENKAT, MIKE ASKEW, ANNE WATSON, JOHN MASON
The research suggests that mathematical thinking occurs when students are thinking about mathematical structure.