Learning and Teaching of Calculus

<p>This book is for people who teach calculus – and especially for people who teach student teachers who will in turn teach calculus. The calculus considered is elementary calculus of a single variable. The book interweaves ideas for teaching with calculus content and provides a reader-friendly overview of research on learning and teaching calculus along with questions on educational and mathematical discussion topics.</p><p>Written by a group of international authors with extensive experience in teaching and research on learning/teaching calculus both at the school and university levels the book offers a variety of approaches to the teaching of calculus so that you can decide the approach for you. Topics covered include</p><ul> <li>A history of calculus and how calculus differs over countries today</li> <li>Making sense of limits and continuity differentiation integration and the fundamental theorem of calculus (chapters on these areas form the bulk of the book)</li> <li>The ordering of calculus concepts (should limits come first?)</li> <li>Applications of calculus (including differential equations)</li> </ul><p>The final chapter looks beyond elementary calculus. Recurring themes across chapters include whether to take a limit or a differential/infinitesimal approach to calculus and the use of digital technology in the learning and teaching of calculus. This book is essential reading for mathematics teacher trainers everywhere. </p>