COMPLEX CONNECTIONS: REIMAGINING PURE AND APPLIED RESEARCH IN UNITS CONSTRUCTION AND COORDINATION.

The theory of units construction and coordination originally posited a rationale for students' mathematical reasoning with whole numbers; for instance, explaining that students may conceive of 12 as 12 units of one, 1 unit of 12, or 1 unit of 3 groups of 4, among other possibilities. Research has subsequently identified connections between students' construction and coordination of whole number units to fractional units, proportional reasoning, and other mathematical domains. This working group aims to engage mathematics educators in discussion to deepen the field's understanding of units construction and coordination, including pure theoretical research Learning Theory, Learning Trajectories and Progressions, Number Concepts and Operations, and research applied in classrooms. [ABSTRACT FROM AUTHOR]