This paper examines the methodology I have been using in the classroom for ten years to teach complex audio signal processing without calculus or an abundance of stuffy engineering theory. Start by leveraging on the students high-school math knowledge and the way they were taught to solve math problems to show them how to analyze digital filters using nothing more than addition and multiplication. Next, help the student make the decision that embracing a few complex-math ideas will ultimately save them time over rote calculations. Finally, provide them with tools to let them hear the results of the math that they developed. Hearing the algorithm in real time is the final proof that the theory really does work and effectively engages the student to internalize the information.
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