Three learning trajectories and their connections show how to promote vertical coherence in PK–12 mathematics education.
Jere Confrey, Meetal Shah, and Alan Maloney
Danielle R. Divis and Tyler Johnson
This practitioner article describes a lesson carried out in a high school classroom at the conclusion of a unit on exponential growth. Two teachers use a series of music-related activities to engage students in using and connecting multiple representations of exponential growth while exploring musical frequencies on a piano.