ABSTRACT
Chapter 5 addresses the challenges and opportunities within commonly taught undergraduate math courses. For lower-level courses covering algebra and precalculus, pedagogical strategy and the potential effects of seemingly minor choices are explored through examples. For more advanced courses, the approach shifts to providing concrete examples of the strategies discussed in previous chapters of the book. Options for opening and closing exercises are discussed for precalculus, differential and integral calculus courses, linear algebra, and introductory proof courses. Opportunities for derivation or proof, drawing parallels, and building on earlier material are additional topics discussed for select courses. The chapter includes examples of designing interactive in-class, and review handouts and samples are provided for trigonometry, graphing techniques, and integration strategy. Opportunities for crafting handouts for linear algebra and introductory proof courses are also discussed.
