Emergent Modeling: an RME Design Heuristic Elaborated in a Series of Examples

摘要

The aim of this article is to offer an operational elaboration of the emergent modeling instructional design heuristic. This is one of the three instructional design heuristics with which the theory of realistic mathematics education (RME) may be characterized. First some background is given and it is elucidated how this heuristic was construed as a means of addressing the tension between RME theory and the socio-constructivist perspective on modeling. Next the heuristic is explicated in more detail with a design experiment on a sequence on addition and subtraction up to 100, which played a major role in the elaboration of this heuristic. Subsequently operational guidelines are presented, which are illustrated with reconstructions of the design of four instructional sequences, on addition and subtraction up to 20, introductory data analysis, graphs, and functions.