The quark and the jaguar: adventures in the simple and the complex
The quark and the jaguar: adventures in the simple and the complex
Hidden order: how adaptation builds complexity
Hidden order: how adaptation builds complexity
Dynamics of complex systems
Can there be a science of complex systems?
Proceedings from the international conference on complex systems on Unifying themes in complex systems
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In an increasingly dynamic and data-driven world, it is important for all students to be able to understand and interpret mathematical patterns over time in the context of the real-world phenomena that generate them. While there is a growing body of evidence that students as early as middle school can understand some fundamental and powerful ideas related to the mathematics of change over time in terms of real-world contexts such as motion or banking (Confrey, Maloney, & Castro-Filho, 1997; Nemirovsky, Tierney, & Wright, 1998; Roschelle, Kaput, & Stroup, 2000), as well as the sophisticated dynamics of many complex systems (Wilensky & Reisman, 2006; Wilensky & Resnick, 1999), little is known about how they might think about mathematical change as it relates to complex systems: where a number of different behaviors and entities all contribute to a single quantity of interest, rather than a single behavior or phenomenon. But such systems are increasingly important in all aspects of academic and everyday life. From global temperatures that are increasing exponentially due to increased individual consumption to employment patterns that affect individual workers and are influenced by consumer spending, students must be able to understand not only how to interpret rates of change in the world, but also how individual entities and their actions and interactions contribute to and are affected by those rates of change.