Although we use cognitive models of physical spaces and relationships more-or-less unconsciously every day of our lives (e.g., to avoid obstacles as we cross a room), the concept of modeling complex systems to gain physical insight is not one that is fully innate. Beginning students are often confused about what the term "model" really means, However, "Box model" software systems, designed for interactive educational use, are being increasingly used successfully to give students an understanding of concepts such as feedback, non-linearity, chaotic behavior, exponential growth, prey-predator relationships, etc. At the other extreme are the highly sophisticated coupled climate models that are used in conjunction with supercomputers to address the interrelationships among the earth processes (air, sea, land) and the biota on a global scale for research purposes. This talk will use examples from both box and coupled climate models to illustrate how these related tools can be used effectively, sometimes in combination, to deepen understanding of the earth as a complex system.