Open peer commentary on the article “Examining the Role of Re-Presentation in Mathematical Problem Solving: An Application of Ernst von Glasersfeld’s Conceptual Analysis” by Victor V. Cifarelli & Volkan Sevim. Upshot: In this commentary, I address the viability of conducting constructivist teaching experiments to develop models of students’ conceptualizations. I also discuss how this research tradition has been adapted by researchers to conduct classroom teaching experiments. In my concluding remarks, I address the need for researchers to develop models for teacher (...) learning. (shrink)

Future robots should have common sense about the world in order to handle the problems they will encounter. A large part of this commonsense knowledge must be naive physics knowledge, since carrying out even the simplest everyday chores requires familiarity with physics laws. But how should one start codifying this knowledge? What kind of skills should be elicited from the experts (each and every one of us)? This paper will attempt to provide some hints by studying the mental models of (...) force and motion. (shrink)

There are many echoes of Descartes and of other Cartesians in Locke's Essay. There is one particularly curious passage in the Essay which is clearly taken from the Regulae. This passage may be the one clear instance of the method of analysis and synthesis in Locke. Before I cite that passage, I want to raise a few questions about some of the claims in Professor Schouls’ paper. Professor Schouls is right to call attention to the need for some careful analysis (...) of the concept of experience in Locke. He concentrates upon the form experience takes initially : lf“he means temporally first, as with infants, the examples he cites do not fit this concept. The quotes he gives on p. 583 all refer to adult, sophisticated experience, not to the learning experience of children. There is a rudimentary genetic psychology in Locke's Essay and in his Education. He does list some brief order in the acquisition of ideas by children, in the very earliest stages of experience, e.g., with the foetus, “some faint ideas of hunger, and thirst, and warmth, and some pains” are acquired. (shrink)