“Everyone works with procedures in everyday life. Playing a game or giving directions to a lost motorist are exercises in procedural thinking. But in everyday life procedures are lived and used, they are not necessarily reflected on. In the LOGO environment, a procedure becomes a thing that is named, manipulated, and recognized as the children …
“In Mindstorms (Papert, 1980), I asked (choosing one out of a vast number of possible examples) why the quadratic equation of the parabola is included in the mathematical knowledge every educated citizen is expected to know. Saying that it is “good math” is not enough reason: The curriculum includes only a minute sliver of the …
“The essential point about the turtle is its role as as a transitional object. That is transitional between the body, the self and abstract mathematical ideas. The turtle, you can identify with it. You can move your body in order to guess how to command the turtle, so it’s related to you, to the body, …