Author Archives: Art Duval

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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Beyond Grades: Feedback to Stimulate Rethinking and Intellectual Growth

By Cody L. Patterson and Priya V. Prasad, Department of Mathematics, University of Texas at San Antonio We frequently use writing assignments to encourage students to examine topics in greater depth than what we cover in class, and we emphasize to our students … 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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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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Communicating Advanced Mathematics to Kids

By Jeremy Martin, Professor, University of Kansas I’ve often thought that we could do a lot better job of explaining “advanced” mathematics concepts in simple language for the benefit of a wider audience. As a student, I never liked being … Continue reading

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They Taught Me by Letting Me Wonder

By Dr. Nafeesa H. Owens, Ph.D., Program Director/PAEMST Program Lead, Presidential Awards for Excellence in Mathematics and Science Teaching, National Science Foundation* Today we celebrate the story of Marizza Bailey, who was honored last year by the White House with … Continue reading

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The Mathematical Encounter That Changed My Life

By Art Duval, Contributing Editor, University of Texas at El Paso I just returned from an all-years reunion of the Hampshire College Summer Studies in Mathematics (HCSSiM) program, a six-week program I attended during the summer between my sophomore and junior … Continue reading

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Theory into Practice: Growth Mindset and Assessment

By Cody L. Patterson, University of Texas at San Antonio Several years ago, I took up running. At first, I wasn’t particularly good at it, but I persisted: about two or three times each week, I would go for a … Continue reading

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Inverse Functions: We’re Teaching It All Wrong!

By Frank Wilson, Chandler-Gilbert Community College; Scott Adamson, Chandler-Gilbert Community College; Trey Cox, Chandler-Gilbert Community College; and Alan O’Bryan, Arizona State University What would you do if you discovered a popular approach to teaching inverse functions negatively affected student understanding … Continue reading

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Conventional Courses are Not Enough for Future High School Teachers

By Yvonne Lai, University of Nebraska – Lincoln and Heather Howell, Educational Testing Service Consider how you would respond to two different versions of a question. In the first, you are asked to solve a high school mathematics problem. In the second, some high … Continue reading

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