Monthly Archives: August 2016

The Winners Write the Textbook

 Guest Author: Dan Walls It is said that the winners write history. While usually this is reserved for the perspectives in history textbooks and other writings, it also finds true in the evolution of mathematical history as well. Beg to … Continue reading

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The Role of Generalization in Advanced Mathematical Thinking

Generalization and abstraction both play an important role in the minds of mathematics students as they study higher-level concepts. In the second chapter of the Springer book Advanced Mathematical Thinking, Tommy Dreyfus defines generalization as the derivation or induction from something particular to something … Continue reading

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False Positive vs. False Negative

A guest post by Long Nguyen: Not all results of medical tests are absolutely correct. Scientists can make mistakes when they conclude that something is true when it is actually false or that something is false when it is actually … Continue reading

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Creating a Successful Learning Environment

Welcome to graduate school. Here, we will find ourselves immersed in a subject that inspires us. Here, we will become engaged in conversation with masters of the field. Here, we will be mentored into a community to which we will … Continue reading

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