Category Archives: Classroom Practices

What is \(0^0\), and who decides, and why does it matter? Definitions in mathematics.

By Art Duval, Contributing Editor, University of Texas at El Paso How is \(0^0\) defined? On one hand, we say \(x^0 = 1\) for all positive \(x\); on the other hand, we say \(0^y = 0\) for all positive \(y\). … Continue reading

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#thestruggleisREAL: Reflection in a Real Analysis Class

By Katharine Ott, Department of Mathematics, Bates College Real Analysis is a rite of passage for undergraduate math majors. It is one of my favorite courses to teach, but I recognize that the course is challenging for students, and, for … Continue reading

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Comparing Educational Philosophies

I have recently heard several mathematicians claim that the educational philosophies of Math Circles and the Inquiry Learning Community are essentially the same. I disagree. I will contrast the differences between these two approaches, along with two other common educational … Continue reading

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Thinking Outside the Textbook

By Steven Klee, Contributing Editor, Seattle University When two grandmasters face off in a chess tournament, they are faced with a complicated bit of game theory.  If you were in one of their positions, you would prepare for the match … Continue reading

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On Being Imperfect

By Gizem Karaali, Pomona College I have a secret: For the last year or so, my nine-year-old daughter and I have been trying to develop a meditation practice. This guy, Andy, who leads us daily through meditation sessions facilitated by … Continue reading

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Eating Our Own Cooking: What I’ve Actually Used or Shared

By Art Duval, Contributing Editor, University of Texas at El Paso A popular saying in business (or so I’ve read) is to “eat your own cooking”: Use the products your own company makes.  I suppose there are several motivations to … Continue reading

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What Do Hobbits Know About Mathematics?

Sam: If I take one more step, I’ll be the farthest away from home I’ve ever been. Frodo: Come on, Sam. Remember what Bilbo used to say: ‘It’s a dangerous business, Frodo, going out your door. You step onto the … Continue reading

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Kindness in the Mathematics Classroom

by Art Duval, Contributing Editor, University of Texas at El Paso Several years ago, I was teaching a calculus course which included three students who were especially struggling with the material, in spite of regularly attending class. I have a … Continue reading

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Sustaining the Energy and Maintaining the Growth

I often start out each semester eager to try a few new things in the classroom, or to pay particular attention to certain aspects of my teaching.  As the semester progresses, I often find myself slipping into the pattern of … Continue reading

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On the Culture of Making Things

By Nicholas Long, Stephen F. Austin State University In one of life’s weird coincidences, when I moved to a small town in East Texas to start my academic career at Stephen F. Austin State University (SFA) ten years ago, I … Continue reading

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