RUME 28
2026
Alexandria, Virginia
Students’ Embodied Reinvention of the Bijectivity of Invertible Functions
Page: 1192
We present a preliminary local instructional theory of students’ embodied guided reinvention of the bijectivity theorem of invertible functions. We leveraged the design principles of Realistic Mathematics Education (Freudenthal, 1991) and Embodied Design (Abrahamson et al., 2020). We present our task sequence, describe implementation in a classroom, and provide an analysis of student reasoning. We discuss our plans for reimplementation and implications for teaching.