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Modeling and simulation as an emerging discipline involves replication of systems through computational tools with the main goal to understand and predict phenomena represented by the systems. Through replication, these tools enable investigation of systems in settings that would otherwise be extremely difficult or even impossible to investigate, show what phenomena would look like if they took place at much faster or slower speeds than in real time, and avoid the risks and ethical constraints involved in real-world experiments; and they are usually far less expensive than conducting experiments with the real system at hand. Modeling and simulation tools not only are useful for scientists and engineers but also afford a unique learning platform for students of all ages. While a large array of tools are used by scientists and engineers for the actual creation of simulations (a few examples include MATLAB, Mathematica, and Ecolego), this entry surveys tools that utilize modeling and simulations for the purpose of learning and training. First, definitions of the terms simulation and model are considered. The entry then discusses tools that facilitate learning through the use of simulations, focusing on tools that provide dynamic models or microworlds. This use of existing simulation tools is contrasted with tools that enable learning through the actual creation of new models, with students engaged in the process of modeling in a way similar to that done by scientists.

Definitions

There are several ways to understand the distinction between models and simulations. Models simplify the way the world works by hiding information that is confounding, otherwise unimportant, or hard to see, while bringing to the foreground those elements that are central to the system. They help us visualize processes that could not otherwise be seen with the naked eye as a result of a very large or small scale, or speeds too fast or too slow to be noticed by the human eye. Allan Collins and John R. Ferguson classified theoretical models in science as structural, causal, and dynamic models. Structural models focus on the physical relationships between the model features (e.g., molecules and atoms model). Causal models, which are more conceptual, focus on the processes within a system that relate to the causal mechanism; for example, in an ecosystem food-web model, it is possible to see how an increase in a predator population might result in a decrease in its prey population. Dynamic models enable the users to see and test different assumption by changing the settings and observing the effects of these changes on how the model runs. Like dynamic models, simulations involve imitation of the behavior of a system or process over time; however, a simulation may also allow a person to play an active role within it.

What, then, is the relationship between modeling and simulations? While the main purpose of modeling is usually to expose and explicitly explain the underlying mechanism, the main purpose of simulations is to describe and reproduce the experience, often deliberately including the complexity presented in reality (e.g., a combat flight simulation), where the underlying mechanism is often only implicit. The act of modeling may result in a simulation, and the act of using a simulation may result in an understanding of the underlying model.

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