## Profile

## Stream

### Dana Ernst

Shared publicly -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.

### Dana Ernst

Shared publicly -#CombinatorialGameTheory #spnetwork arXiv:1506.07105

### Dana Ernst

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### Dana Ernst

Shared publicly -"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

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### Communities

18 communities### Dana Ernst

Shared publicly -**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 ...

### Dana Ernst

Shared publicly -In this guest post, Bob Klein (Ohio University) reflects on his first year fully embracing inquiry-based learning (IBL).

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### Dana Ernst

Shared publicly -### Dana Ernst

Shared publicly -2

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### Dana Ernst

Shared publicly -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.

- George Mason UniversityBS, Mathematics, 1993 - 1997
- Northern Arizona UniversityMS, Mathematics, 1997 - 2000
- University of Colorado at BoulderPhD, Mathematics, 2003 - 2008

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 algebras, Kazhdan-Lusztig theory, generalized Temperley-Lieb algebras, diagram 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.

- Northern Arizona UniversityAssistant Professor, 2012 - present
- University of Colorado at BoulderGraduate Student/Teaching Assistant, 2003 - 2008
- Front Range Community CollegeMath Faculty, 2001 - 2003
- Northern Arizona UniversityGraduate Student/Instructor, 1997 - 2001
- Plymouth State UniversityAssistant Professor, 2008 - 2012

- Dana's Blog (current)
- Math Ed Matters (current)