Generative Understanding
Extension of a form ("know-how") is
infinite
!!
The learning style of
memorizing know-how's
breaks down soon.
Learning mathematics is
not to memorize what teachers say or what are written in textbooks,
but to
understand generatively
each subject he/she meets in mathematics class or anywhere.
Core
:
Primitive images, ideas in real life, etc.
Extension
:
Those which are generated from the core.
("Textbook" is an example of extension, where you should find a core.)
The learning must be
knowing-what
.