Possible
Misconceptions about the Cone3
Q
Can we
overemphasize the amount of direct experience that is required to learn a new concept?AYes, this is a danger. Perhaps the new abstraction can be mastered with less firsthand experience than you might think necessary. Indeed, too much reliance on concrete experience may actually obstruct the process of meaningful generalization. Certainly a mathematician could not develop a system of higher mathematics by counting on his fingers.
Can we
overemphasize the amount of direct experience that is required to learn a new concept?AYes, this is a danger. Perhaps the new abstraction can be mastered with less firsthand experience than you might think necessary. Indeed, too much reliance on concrete experience may actually obstruct the process of meaningful generalization. Certainly a mathematician could not develop a system of higher mathematics by counting on his fingers.3From
Dale, 1969, p. 130