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Dana Ernst
Works at Northern Arizona University
Attended George Mason University
Lives in Flagstaff, AZ
36,783 followers|926,528 views
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Dana Ernst

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Excited for the IBL Workshop to kick off on Tuesday morning.  Looking forward to seeing +Stan Yoshinobu+Matthew Jones, and +Kyle Petersen.
The next IBL Workshop is in San Luis Obispo, CA, hosted at Cal Poly. The workshop will be held July 7-10, with lodging and most meals covered by the workshop. Early career faculty are eligible for travel scholarships up to $500. SPIGOT (Supporting a Pedagogical Innovation for a Generation of ...
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I wish I could be  there.  Maybe next summer I won't have other obligations....
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Dana Ernst

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Thanks for the heads up.
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The Academy of Inquiry-Based Learning has a well established mentoring program for IBL practitioners.
 
The purpose of the Mentoring Program is to provide advice, support, and encouragement to those interested in using the IBL in their teaching. Individuals who request assistance are paired with mentors who are experienced practitioners of IBL. Typically, mentoring is conducted by email.  Group email mentoring is also possible, and several groups have been formed around specific topics or cohorts of workshop groups.

If you are interested in a mentor, fill out the form on the page below.
The purpose of the Mentoring Program is to provide advice, support, and encouragement to those interested in using the IBL in their teaching. Individuals who request assistance are paired with mentors who are experienced practitioners of IBL. Typically, mentoring is conducted by E-mail.
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Dana Ernst

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"Impartial avoidance games for generating finite groups" by +Bret Benesh, +Dana Ernst, and +Nandor Sieben now on the arXiv.

#CombinatorialGameTheory   #spnetwork  arXiv:1506.07105 
Abstract: We study an impartial avoidance game introduced by Anderson and Harary. The game is played by two players who alternately select previously unselected elements of a finite group. The first player who cannot select an element without making the set of jointly-selected elements into a ...
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A little puzzle for the math folks on Google+.
Behind the walls at Emerson High School in Oklahoma City, construction workers found old chalkboards with drawings and class lessons, written almost a century ago and in remarkable condition.
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I'm finding it interesting to note the different takes on this. I've seen it posted by writing groups and education groups, both with different focuses on what's important about the story (discovery, content, preservation, history, handwriting, etc.). Curious what mathematicians make of the arithmetic lesson methods!
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Dana Ernst

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Both of my MS thesis students from a year ago recently posted their theses to the arXiv.  Cool.

"A cellular quotient of the Temperley--Lieb algebra of type D" by Kirsten Davis

http://arxiv.org/abs/1506.05546

"Conjugacy classes of cyclically fully commutative elements in Coxeter groups of type A" by Brooke Fox

http://arxiv.org/abs/1506.02299
Abstract: The Temperley--Lieb algebra, invented by Temperley and Lieb in 1971, is a finite dimensional associative algebra that arose in the context of statistical mechanics. Later in 1971, Penrose showed that this algebra can be realized in terms of certain diagrams. Then in 1987, Jones showed ...
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No macro package. I have no idea how hard it would be to set that up. 
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Dana Ernst

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Come on over.
 
IBL SIGMAA: Be a Charter Member
The Mathematical Association of America has special interest groups for members to organize around a topic or area of mathematics or mathematics education.  A special interest group of the MAA is called a SIGMAA .  The IBL community has decided to apply to ...
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New at Math Ed Matters: Knowing What to Do is not Doing.

In this guest post, Bob Klein (Ohio University) reflects on his first year fully embracing inquiry-based learning (IBL).
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The Moore Method, or IBL, separates mathematical behavior from mathematical knowledge.
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Paper with +Bret Benesh and +Nandor Sieben submitted. Boom. 
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One of my students just surprised me with the book "30 Second Math" by +Richard Elwes and others. Lots of cool nuggets in there. 
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I have that book it's awesome and there are a lot more 30 second books.
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The IBL Blog: The Problems of "Good" Teaching and the Problem of "Excellent" Being the Enemy of Good

First paragraph: "This post is about two dual problems.  A significant percentage of faculty or institutions are satisfied with "good" teaching, and a separate and overlapping group of faculty or institutions are paralyzed by perceptions that a high degree of "excellence" is needed to switch to active learning methods, such as IBL.  The purpose of this post is to offer a perspective on the dual problems in an attempt to minimize them and ultimately make change easier."

Click through to read the rest.
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Have him in circles
36,783 people
Rahul Sharma's profile photo
Karrington Atkins's profile photo
Jolie Pinke's profile photo
Alex Payne's profile photo
Tonia J's profile photo
maya packing's profile photo
Jennifer Frazier's profile photo
Tae Keun Jeon's profile photo
Carolyn Madison (TC)'s profile photo
Education
  • George Mason University
    BS, Mathematics, 1993 - 1997
  • Northern Arizona University
    MS, Mathematics, 1997 - 2000
  • University of Colorado at Boulder
    PhD, Mathematics, 2003 - 2008
Basic Information
Gender
Male
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Father of two boys, husband, mathematician, cyclist, trail runner, rock climber, and coffee drinker.
Introduction

My name is Dana Ernst and I am an assistant professor in the Department of Mathematics and Statistics at Northern Arizona University in Flagstaff, AZ

My primary research interests are in the interplay between combinatorics and algebraic structures. More specifically, I study the combinatorics of Coxeter groups and their associated Hecke algebrasKazhdan-Lusztig theory, generalized Temperley-Lieb algebrasdiagram algebras, and heaps of pieces. By employing combinatorial tools such as diagram algebras and heaps of pieces, one can gain insight into algebraic structures associated to Coxeter groups, and, conversely, the corresponding structure theory can often lead to surprising combinatorial results. The combinatorial nature of my research naturally lends itself to collaborations with undergraduate students, and my goal is to incorporate undergraduates in my research as much as possible. See my scholarship page for more information.

Furthermore, I am passionate about mathematics education. In particular, I am interested in inquiry-based learning (IBL) and the Moore method for teaching mathematics. This educational paradigm has transformed my teaching. I am currently a Special Projects Coordinator for the Academy of Inquiry-Based Learning and a mentor for several new IBL practitioners. Moreover, I actively give talks and organize workshops on the benefits of IBL as well as the nuts and bolts of how to implement this approach in the mathematics classroom.

I am also interested in utilizing technology to enhance the teaching and learning of mathematics. Specifically, I choose free and open-source software and technologies when appropriate. For example, I have been incorporating Sage and GeoGebra into my teaching. Sage is a free open-source mathematics software system licensed under the GPL. It combines the power of many existing open-source packages into a common Python-based interface.  For examples of a few of the cool things you can do with Sage, check this page. According to their webpage, GeoGebra is free and multi-platform dynamic mathematics software for all levels of education that joins geometry, algebra, tables, graphing, statistics and calculus in one easy-to-use package. There are tons of awesome GeoGebra examples located here.

In addition to using free and open-source software, I am inspired by the recent open-source textbookmovement and I strongly believe that educators should choose free, open-source, or low cost textbooks when a viable alternative exists. For a list of open-source textbooks, go here and here.

Angie Hodge and I are coauthors for Math Ed Matters, which is a (roughly) monthly column sponsored by the Mathematical Association of America. The column explores topics and current events related to undergraduate mathematics education. Posts aim to inspire, provoke deep thought, and provide ideas for the mathematics—and mathematics education—classroom. Our interest in and engagement with IBL color the column's content.

I also maintain a personal blog, which is part of the Booles' Rings network of academic home pages/blogs.  On my blog, I typically write about topics related to mathematics, education, and technology.  In addition, I occasionally post about my cycling, trailing running, and rock climbing adventures on my Elevation Gain blog

Lastly, I am a husband and a father of two incredible sons. Oh, I enjoy drinking copious amounts of coffee, too.

Work
Occupation
Assistant Professor of Mathematics
Employment
  • Northern Arizona University
    Assistant Professor, 2012 - present
  • University of Colorado at Boulder
    Graduate Student/Teaching Assistant, 2003 - 2008
  • Front Range Community College
    Math Faculty, 2001 - 2003
  • Northern Arizona University
    Graduate Student/Instructor, 1997 - 2001
  • Plymouth State University
    Assistant Professor, 2008 - 2012
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Currently
Flagstaff, AZ
Previously
Williamsville, NY - Fairfax, VA - Flagstaff, AZ - Boulder, CO - Plymouth, NH
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