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The opinions expressed on this blog are the views of the writer(s) and do not necessarily reflect the views and opinions of the American Mathematical Society.
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Recent Posts
Author Archives: Art Duval
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
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
Posted in Curriculum, K-12 Education
Tagged Curriculum, preservice teachers, teacher training
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The Second Year of “On Teaching and Learning Mathematics”
By Art Duval, Contributing Editor, University of Texas at El Paso Another year has flown by, and so it is once again a good time to collect and reflect on all the articles we have been able to share with … Continue reading
Posted in Classroom Practices, Curriculum, Early Childhood, Education Policy, K-12 Education, Online Education, Outreach, Student Experiences, Year in Review
Tagged Active Learning Series 2015, Conceptual Understanding, Curriculum, K-12 mathematics, outreach, service learning, standards based grading
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Creating a Classroom Culture
By Taylor Martin and Ken Smith, Sam Houston State University A good educator must facilitate learning for a classroom full of students with different attitudes, personalities, and backgrounds. But how? This question was the starting point for a new Faculty … Continue reading
Posted in Classroom Practices
Tagged classroom culture, IBL, inquiry based learning, undergraduate
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Wanted, Mathematicians for an Important but Difficult Task
By Art Duval, Contributing Editor, University of Texas at El Paso; Kristin Umland, Associate Professor, Department of Mathematics and Statistics, University of New Mexico (on leave), and Vice President for Content Development, Illustrative Mathematics; James J. Madden, The Patricia Hewlett … Continue reading
Shredding My (Calculus) Confidence
By A.K. Whitney, journalist. In 2009, Whitney went back to school to find out, once and for all, if journalists really are as bad at math as they fear they are; her blog about the experience, Mathochism, runs on Medium three days a week. … Continue reading
Active Learning in Mathematics, Part II: Levels of Cognitive Demand
By Benjamin Braun, Editor-in-Chief, University of Kentucky; Priscilla Bremser, Contributing Editor, Middlebury College; Art Duval, Contributing Editor, University of Texas at El Paso; Elise Lockwood, Contributing Editor, Oregon State University; and Diana White, Contributing Editor, University of Colorado Denver. Editor’s … Continue reading
(Don’t?) Make ’em Laugh
By Art Duval, Contributing Editor, University of Texas at El Paso When I started teaching, I wanted to be the very best teacher. Not just “the best teacher I could be”, but the very best teacher, the one students would tell … Continue reading
In Math as in Dance, Don’t Miss a Step, or Else You May Fall
By A.K. Whitney, journalist. In 2009, Whitney went back to school to find out, once and for all, if journalists really are as bad at math as they fear they are; her blog about the experience, Mathochism, runs on Medium … Continue reading
One Reason Fractions (and Many Other Topics) Are Hard: Equivalence Relations Up and Down the Mathematics Curriculum
By Art Duval, Contributing Editor, University of Texas at El Paso Why are fractions hard to learn for so many people? There are many reasons for this, but I like to think about one in particular, a mathematical idea hiding in … Continue reading
