Developing Hypothetical Learning Trajectory for Green’s Theorem

Abstract

This research is aimed at developing Hypothetical Learning Trajectory (HLT) for Green
Theorem course material that deals with double integral and line integral. The theorem is very
useful for students of Mathematics and Engineering. This research applies educational research
method developed by Gravemeijer and Cobb with the following stages: 1). Experiment
preparation, 2). Experiment design, and 3). Retrospective analysis. This research involved 24
students taking Multivariable Calculus class as the research subjects. The research found that
the Hypothetical Learning Trajectory has met the criteria of validity and practicality for it has
been through one-to-one trials and field tests, and all instructionals being designed thereto can
run as expected