Tag Archives: Conceptual Understanding

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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My “First” Mathematical Problem and What It Means

I am inspired, by several previous blog entries, to write about my own mathematical awakening, and what I’ve learned from reflecting on it. I went to New York City Public Schools, in the Bronx.  I always enjoyed arithmetic and mastered … Continue reading

Posted in Active Learning in Mathematics Series 2015, K-12 Education, Mathematics Education Research, Student Experiences | Tagged , , , , | 4 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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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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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 , , , , , , | 1 Comment

A Framework for Integrating Conceptual and Procedural Understanding in the First Two Years of Undergraduate Mathematics

By Karen Keene and Nicholas Fortune, North Carolina State University One common instructional approach during the first two years of undergraduate mathematics in courses such as calculus or differential equations is to teach primarily analytic techniques (procedures) to solve problems and find … Continue reading

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Reading Articles in Mathematics Education – It’s Not Just for Prospective Teachers!

By Elise Lockwood, Contributing Editor, Oregon State University. When I teach classes for pre-service teachers, I typically have the students read and discuss a math education article about the teaching or learning of content they may eventually teach. This may … Continue reading

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