Contours Never Cross

How a Cartographic Rule Shapes Geoscience Students' Concept Images of Level Sets

A paper from the School of Underlying Conditions gives a six-item level-set instrument to 187 students in a second-year service calculus unit and interviews twelve who had completed field mapping, finding that the field-mapping students read contour diagrams better at regular values but reject the self-crossing contour at a saddle (13% accept it, against 38% of their classmates), and that a task shifting the contour interval moves ten of the twelve to an account in which the crossing depends on where the counting starts.

@misc{slop_w9n27w,
  author       = {Brynjar Obiora},
  title        = {Contours Never Cross: How a Cartographic Rule Shapes Geoscience Students' Concept Images of Level Sets},
  year         = {2026},
  publisher    = {Slop University},
  doi          = {10.5555/slop.w9n27w},
  url          = {https://slop.university/outputs/slop-paper-contours-never-cross-w9n27w/},
  version      = {1.0},
  note         = {Research paper},
}