Title: Acquiring Conceptual Expertise from Modeling: The Case of Elementary Physics
Abstract:In many domains, the real world is modeled with systems of equations. Such a model uses variables to represent domain properties and equations to represent applications of domain principles. Given a s...In many domains, the real world is modeled with systems of equations. Such a model uses variables to represent domain properties and equations to represent applications of domain principles. Given a set of true domain relationships expressed as equations, one can deduce new equations from them using only the rules of mathematics, and the new equations will also be true domain relationships. The latter step, wherein mathematical implications are derived from the initial model, can often be done mechanically, for example, by mathematical symbol manipulation programs, spreadsheets, calculators, etc.Read More