Some subscribers to Math-Teach might be interested in a discussion list post "Piaget's Stages? #2" [Hake (2014)]. The abstract reads:
ABSTRACT: Eric Nelson's (2014a) post "Piaget's Stages?" of 7 August 2014 on the CLOSED! PhysLrnR archives at <http://bit.ly/1orXcKo> initiated a thread which on 12 August 07:36-0700 had grown to 23 posts on the PhysLrnR archives at <http://bit.ly/nG318r>.
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In one of the 23 posts, now updated and placed online on the OPEN! AERA-L archives at <http://bit.ly/Y8ZumO>, I point to generally laudatory opinions on Piaget's work by experts Philip Adey, John Anderson, Howard Gardner, Alan Kay, Anton Lawson, Robert Sternberg, Ernst von Glasersfeld, and David Klahr.
In addition, aside from his initializing post, Nelson (2014b,c) made two other contributions at <http://bit.ly/1ouGsSQ> and <http://bit.ly/1uP1Zp7> in which he pointed to the work of Kirschner, Sweller, & Clark (KSC) as the definitive word from cognitive science on pedagogical methods. However, not everyone would agree with Nelson's tribute to KSC, as I indicated in "Vague Labels for Pedagogical Methods Should Be Supplemented with Operational Definitions and Detailed Descriptions" [Hake (2014b)] at <http://bit.ly/1jPnKxo>.
"When we say force is the cause of motion we talk metaphysics, and this definition, if we were content with it, would be absolutely sterile. For a definition to be of any use, it must teach us to measure force; moreover, that suffices; it is not at all necessary that it teach us what force is in itself, nor whether it is the cause or the effect of motion." - Henri Poincaré (1905)
REFERENCES [URLs shortened by <http://bit.ly/> and accessed on 14 Aug 2014.]
Hake, R.R. 2014. "Piaget's Stages? #2," online on the OPEN! AERA-L archives at <http://bit.ly/Ya4c3G>. The abstract and link to the complete post are being transmitted to several discussion lists and are also on my blog "Hake'sEdStuff" at/<http://bit.ly/1l7zhQ3>.