What is the difference between an honors course and a non-honors course in math?
Honors and non-courses with the “same name” (e.g. Geometry and Geometry Honors, Precalculus and Precalculus Honors) cover the same core content. The degree of abstraction, review, in-class practice, scaffolding, and extensions related to that core content will vary between regular and honors courses.
Students in honors level classes should expect to…
Generalize observations and patterns
Represent mathematics abstractly
Derive and prove rules and theorems
Transfer learning to novel situations with minimal scaffolding
…more frequently than students in regular level classes.
Students in honors classes can typically progress through content more quickly than students in regular level classes, affording honors courses additional time. Rather than using that time to “accelerate” students onto the next course, it is used to delve deeper into the core content and expose students to more nuanced and high-level reasoning. Students in honors classes may also explore additional extension topics that are tangential to the core content (for example, Markov chains when studying matrices, modular arithmetic when studying divisibility, or spherical geometry at the end of a traditional geometry course.)