Category Archives: Classroom Practices

MATHEMATICS: GATEKEEPER OR GATEWAY?

Some recent writers on mathematics education have been talking about mathematics as a field enjoying ’unearned privilege’ as a ‘gatekeeper’ in our society.  The more I think about it, the less sense this makes. For some writers, the reference may … Continue reading

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Learning to Be Less Helpful

FREDERICK PECK University of Montana, Missoula   Dan Meyer is as close as we can get to a rock star in the world of mathematics education. These days, Dan is known for many things: 3-act tasks, 101 Q’s, Desmos, NCTM’s … Continue reading

Posted in Active Learning in Mathematics Series 2015, Classroom Practices | 1 Comment

What is 0000, and who decides, and why does it matter? Definitions in mathematics.

By Art Duval, Contributing Editor, University of Texas at El Paso How is 0000 defined? On one hand, we say x0=1x0=1 for all positive xx; on the other hand, we say 0y=00y=0 for all positive yy. … 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

Posted in Classroom Practices, Communication, Mathematics Education Research | 2 Comments

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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