MTH 299: Transitions
Description- Undergraduate students pursuing a degree in mathematics, or a field that requires advanced mathematics, will take MTH 299 as a transition course from the calculus sequence into proof-based mathematics. Students will take this course before they take any algebra, analysis, or differential equations classes. This course introduced formal proof techniques (including logic, proof by contradiction, proof by induction, etc.), as well as a brief overview of more advanced topics such as linear algebra, abstract algebra, and real analysis.
Teaching Role - Instructors must be enthusiastic and ready to help students make the difficult transition to proof-based mathematics. This course is structured around the flipped-classroom paradigm, which may require an instructional adjustment, but also provides a unique experience. Students are expected to complete readings and watch instructional videos prior to class, followed by in-class group work to complete problem sets. The instructor will facilitate group work while providing individual and group instruction. In this course, it is important that students have an opportunity to co-create mathematical knowledge as they move towards more writing-intensive mathematics, so the instructional setting will draw on the expertise of the teacher not only about the content, but also about the process of coming to know mathematics.
Teaching Responsibilities - The course is coordinated and is uniform, with weekly problem sets and in-class exams provided to instructors. The instructor is expected to grade weekly homework sets and exams, which are proof-based, and provide detailed feedback. This grading maybe more time-intensive than grading for calculus courses. Instructors are encouraged to provide input and feedback for the problem sets, but they are not responsible for authoring any problem sets or exams on their own. This course has smaller class sizes than other courses, with a cap set at 22 students. This teaching experience may be useful if you plan on pursuing a career for which teaching advanced mathematics courses is likely to be a major responsibility, as well as careers for which teaching using innovative methods is likely to be important.