RUME 25
2023
Omaha, Nebraska
Quantitative Reasoning Augments Scaffolding for Mathematical Model Construction
Page: 297
In this report, we begin to explore the value of leveraging constructs from quantitative reasoning for informing scaffolding moves that would assist modelers in overcoming blockages to their mathematization of canonical real-world problems from a first course on differential equations. Our claims are based in qualitative retrospective analysis of a set of 7 design cycles used to develop a task trajectory and resulting learning environment responsive to STEM students’ mathematical reasoning during mathematical modeling. We present a set of four scaffolding moves contingent upon and responsive to participants’ in-the-moment quantitative reasoning that guided them towards a meaningful model for a predator-prey scenario.