Are repeated hand calculations necessary for understanding?
In the past, many teachers believed that repeated hand calculations were the path to understanding and in fact were necessary for understanding. This belief has been exploded in recent research by David Tall, Stanislas Dehaene and others. Their research indicates that repeated hand calculations sometimes actually interfere with conceptual understanding. To get the idea, try counting a group of objects while maintaining a conversation about the unifying characteristics of those objects. Back to Top Q: How do the graphics in C&M compare with the graphics in other courses? A: C&M Mathematica graphics make calculator plots seem primitive. And in C&M, you get more vivid colorful graphics than found in any printed text. Also, in C&M you are not limited to the graphics chosen for a printed text. As a C&M student said: ” I’ve been studying math for years and doing very well on it. But I never knew what I was studying until you got me on this computer and I could see it.” Back to Top Q: Why is
