Definitions in Mathematics

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Definitions in mathematics play several roles: They facilitate communication. They provide the foundation for new learning. All new learning requires a foundation of prior knowledge. They are essential to learning mathematics. They are the core element of every simple concept. They promote understanding. They facilitate applications. Before studying my discussion of these six benefits of

Setting the Stage for Presenting and Studying Mathematics

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Everyone reading these blogs is familiar with or even expert at mathematics. Some are teachers of mathematics. Most have studied mathematics. I am asking you to abandon your favorite ideas of what mathematics is, how it should be presented, and how it should be studied. I do that because I want you to obtain maximum