
Every year, thousands of students in the USA declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. This shift is demanding but it need not be mysterious -- research has revealed many insights into the mathematical thinking required, and this book translates these into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively while enjoying undergraduate life. As the first mathematics-specific study guide, this friendly, practical text is essential reading for any mathematics major.
This book investigates the specific cognitive and behavioral adjustments required for students to successfully transition from computational mathematics to the proof-based rigor of undergraduate study. Lara Alcock, a researcher in mathematics education, synthesizes pedagogical insights and cognitive science to provide a framework for navigating the transition to higher-level mathematical thinking. The text addresses the common friction points students encounter when moving beyond procedural calculation toward abstract conceptual understanding.
What You Will Find
Scope Limits
Educators and academic advisors frequently cite this text as a foundational resource for students struggling with the transition to university-level mathematics. Readers often note the clarity of the prose and the practical utility of the advice provided for navigating the unique challenges of the discipline.
Page Count:
288
Publication Date:
2013-01-01
Publisher:
OUP Oxford
ISBN-10:
0191637351
ISBN-13:
9780191637353
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