Modeling Natural Variation Through Distribution

Abstract

This design study tracks the development of student thinking about natural variation as late elementary grade students learned about distribution in the context of modeling plant growth at the population level. The data-modeling approach assisted children in coordinating their understanding of particular cases with an evolving notion of data as an aggregate of cases. Students learned to “read” shapes of distributions as signatures of prospective mechanisms of plant growth and conducted sampling investigations to represent repeated growth. These investigations, in turn, supported students’ interpretations of the effects of added light and fertilizer. The authors argue for both the feasibility and the importance of tools such as distribution and inference for supporting education that builds on children’s own investigations of the world.