Learning Trajectory for the Measure of Length: How to Move Toward the Sense of Measure
摘要
In this paper, we will focus on how to foster the evolution of the meaning of measurement and measuring from kindergarten to second grade along a learning trajectory. The learning trajectory illustrated here is developed from both didactic and epistemological perspectives and resulted from the collaborative efforts of two communities of inquiry of kindergarten and primary school teachers. After presenting the learning trajectory genesis and rationale, we show three prototypes of problem-solving situations, to exemplify how children can move along it, dealing with the core questions defining the trajectory. This progression does not necessarily involve standard measuring tools, such as rulers and meters, but rather any tools aimed at developing the focused meaning: measure, measurement unit, and measure as a product of the action measuring. The learning trajectory presented here can be seen as a tool for teachers to design learning activities aimed at constructing students’ understanding of measurement.