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Rather than droning on about each subject in math at this point, I'm going to make a shift. I'm currently engaged in a conversation with a friend, and my most recent reply to him expresses my opinion on how math is being taught today:   ...The beauty of math is something that I have seen most of my life, and it stands in my mind as one of my fundamental motivations for studying math. As a person with that emotional tie to math, I realize that many students would find it difficult to identify with my assertion that math is beautiful. As a result, I often take a stance that might be a little self-protective, and offer an answer that seems to be weaker but more universal. In short, some aspects of math are of universal benefit, such as the skill of basic calculation, or the benefits of mental exercise. There are some benefits that apply only to a portion of the population, such as the ability to factor polynomials, or to find missing sides of triangles... read more

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