As of Spring 2010, I am no longer maintaining this wiki. Please see my web page located at http://oz.plymouth.edu/~dcernst. However, feel free to poke around as there are a few things located here that are not located on my web page.
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Welcome to Dana Ernst's Teaching Wiki. This wiki is primarily designed for my students, but if you somehow found your way here, feel free to poke around. You may also be interested in my web page.
About
My name is Dana Ernst and I am an assistant professor in the Mathematics Department at Plymouth State University in Plymouth, NH. I am very passionate about mathematics education. Recently, I have become interested in inquiry-based learning and the Moore method for teaching mathematics. This educational paradigm has transformed my teaching.
I am also interested in utilizing technology to enhance the learning of mathematics. In particular, I choose free and open-source software and technologies when appropriate. For example, I have been incorporating Sage and Lurch 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. Lurch is open-source mathematics validation software with the ability to check the steps of your work in many areas of mathematics, from calculus to logic. I also make use of wikis for some of my courses to enhance collaboration and to introduce students to LaTeX. For a recent example of one of my course wikis, go here.
In addition to using free and open-source software, I am inspired by the recent open-source textbook movement and I strongly believe that educators should choose free, open-source, or low cost textbooks when a viable alternative exists. For a selection of free and/or open-source textbooks, go here.
Lastly, I am an avid cyclist and rock climber and also enjoy hikes with the family and drinking copious amounts of coffee.
For more information about me, including my research interests, see my other wiki.
What is a wiki?
What is a wiki, you ask? According to Wikipedia, the world's largest wiki site:
A Wiki ([ˈwiː.kiː] <wee-kee> or [ˈwɪ.kiː] <wick-ey>) is a type of website that allows users to add, remove, or otherwise edit and change most content very quickly and easily.
As a part of the Wikidot.com network, this site is a customizable piece of the internet where users can edit content, upload files, communicate and collaborate.
Old Courses
Here is a list of previous courses (with web pages) that I have taught since 2005.
Fall 2010 | ||
---|---|---|
Introduction to Formal Mathematics | MA2000 | Plymouth State University |
Calculus I | MA2550 | Plymouth State University |
Introduction to Analysis | MA4510 | Plymouth State University |
Spring 2010 | ||
Calculus I | MA2560 | Plymouth State University |
Algebraic Structures | MA4110 | Plymouth State University |
Fall 2009 | ||
Calculus I | MA2550 | Plymouth State University |
Calculus II | MA2560 | Plymouth State University |
Logic, Proof, & Axiomatic Systems | MA3110 | Plymouth State University |
Summer 2009 | ||
Visual Group Theory | MG5860 | Plymouth State University |
Spring 2009 | ||
Calculus I | MA2550 | Plymouth State University |
Calculus II | MA2560 | Plymouth State University |
Logic, Proof, & Axiomatic Systems | MA3110 | Plymouth State University |
Fall 2008 | ||
Calculus I | MA2550 | Plymouth State University |
Logic, Proof, & Axiomatic Systems | MA3110 | Plymouth State University |
Spring 2008 | ||
Calculus I | Math 1300 | University of Colorado |
Fall 2007 | ||
Calculus II | Math 2300 | University of Colorado |
Spring 2007 | ||
Linear Algebra | Math 3130 | University of Colorado |
Math Teacher Training | Math 5905 | University of Colorado |
Fall 2006 | ||
Calculus I | Math 1300 | University of Colorado |
Fall 2005 | ||
Calculus II | Math 2300 | University of Colorado |
Summer 2005 | ||
Precalculus | Math 1150 | University of Colorado |
Spring 2005 | ||
Calculus I | Math 1300 | University of Colorado |