How to Study as a Mathematics Major

Description

This no-nonsense book translates mathematics education research-based insights into practical advice for a student audience. It covers every aspect of studying for a mathematics major, from the most abstract intellectual challenges to the everyday business of interacting with lecturers and making good use of study time.

• Explores how to engage with the academic content of a mathematics major in the USA and territories/institutions with a US-style educational setup
• Also covers aspects of university life separate from mathematics
• Designed to help students to recognize and reflect on their own experiences and to anticipate, articulate and overcome the challenges they encounter
• Unique subject-specific study guide for mathematics students

About the Author(s)

Lara Alcock, Senior Lecturer in Mathematics Education, Mathematics Education Centre, Loughborough University

Lara Alcock is Senior Lecturer in the Mathematics Education Centre at Loughborough University, UK. An accomplished undergraduate and graduate mathematician at Warwick, her doctorate was in mathematics education before holding various academic posts including Assistant Professor of Mathematics Education and Mathematics at Rutgers University, New Jersey. Her research focuses on the challenges students encounter as they make the transition from calculation-based to proof-based mathematics. She was awarded the 2012 MAA Seldon Prize for Research in Undergraduate Mathematics Education.

Table of Contents

Part 1: Mathematics
Introduction
1:Calculation Procedures
2:Abstract Objects
3:Definitions
4:Theorems
5:Proof
6:Proof Types and Tricks
7:Reading Mathematics
8:Writing Mathematics
Part 2: Study Skills
9:Lectures
10:Other People
11:Time Management
12:Panic
13:(Not) Being the Best
14:What Mathematics Professors Do

Reviews

I wish I had a book like this 20 years ago. It would have helped me manage my time and learn a lot more than I did at that age! - Magdalena D Toda, Dept. of Mathematics and Statistics, Texas Tech University

Great advice for students who want to study math. Actually, good advice for all students. And, good advice for adults and professionals too. Alcock's straightforward writing style and practical tips make the tallest mountains seem climbable with small steps. - Matthew Leingang, Courant Institute of Mathematical Sciences, New York University

Making the transition from school-level to university-level mathematics is hard, in terms of the complexity of the subject matter, the rigour of thought, and the need to be able to study much more independently. This excellent and wide-ranging book engages with all these issues and more, giving a very helpful insight into what is coming for beginning undergraduates in mathematics or mathematics-related disciplines. I just wish this book had been available in my day! - Geoff Tennant, Institute of Education, University of Reading, UK