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It is becoming increasingly clear that mathematical thinking is essential to understanding the world around us. Police tell us that most crimes these days are committed with electronic devices (usually computers). Many if not most medical procedures are now robotically assisted. The carburation system of a modern automobile is all electronic. Geometric visualization is one of the most important aspects of modern technology. And it is plain that the thinking behind all of the technology described in the last paragraph is mathematical. The Google search engine is based on a mathematical algorithm. Not just logic, but analysis and combinatorics and geometry and many other ideas from the mathematical sciences are critical parts of our world. A college education consists of learning different modes of discourse. Every modern student should thus have some exposure to mathematical discourse. Whether or not the student has any intention of working in the mathematical sciences, he/she will need these modes of thought to survive in the modern marketplace. And learning mathematical thought does not have be dry, desultory, and boring. It can be fun and exciting and challenging (in a productive fashion). It can relate to things that are meaningful to students—such as the paradigm behind a Google search, or the means by which a music CD is encoded, or the RSA encryption algorithm. In a course on mathematical thinking the student will obviously learn some mathematical skills, but he/she will also gain critical thinking skills. These are valuable life tools.