Every year thousands of students go to university to study mathematics (single honours or combined with another subject). Many of these students are extremely intelligent & hardworking but even the best will at some point struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study & to learning from lectures. Other struggles however are more fundamental: the mathematics shifts in focus from calculation to proof so students are expected to interact with it in different ways. These changes need not be mysterious
- mathematics education research has revealed many insights into the adjustments that are necessary
- but they are not obvious & they do need explaining. This no-nonsense book translates these research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics degree from the most abstract intellectual challenges to the everyday business of interacting with lecturers & making good use of study time. Part 1 provides an in-depth discussion of advanced mathematical thinking & explains how a student will need to adapt & extend their existing skills in order to develop a good understanding of undergraduate mathematics. Part 2 covers study skills as these relate to the demands of a mathematics degree. It suggests practical approaches to learning from lectures & to studying for examinations while also allowing time for a fulfilling all-round university experience. The first subject-specific guide for students this friendly practical text will be essential reading for anyone studying mathematics at university.