Counter-examples in calculus by Sergiy Klymchuk
Publisher: Maths Press 27 | 118 Pages | ISBN: 0476012155 | PDF | 1.2 MB
This book is a welcome and refreshing antidote to the descending spiral of instrumentality. It is offered to those students and those teachers who know that there is more to learning mathematics than completing homework mechanically. It is consistent with the view put forward by A. Watson and J. Mason in “Mathematics as a Constructive Activity: The Role of Learner- Generated Examples” (Mahwah: Erlbaum, 2005) that athematics is a constructive activity, and that a central aspect of learning mathematics is enriching the space of examples which come to mind and to which you have access when you encounter a technical term...