We’ll use this page to keep track of what has happened each day in class. It won’t contain any of the nitty-gritty details, but will instead serve to summarize what has transpired each day.

Week 1

  • Monday, August 28: First day! I kicked off class by summarizing the first few homework assignments, which was followed by a whirlwind tour of the course webpage. After this, the students engaged in the first half of the Setting the Stage activity, which was followed by a short discussion of productive failure and productive struggle. The remaining portion of class was devoted to highlighting some key items on the syllabus.
  • Wednesday, August 30: The first few minutes of class were devoted to learning names and making sure there weren't any questions about the syllabus. We then split the class up into several small groups, where each group was responsible for one of problems from the homework. After a few minutes we came back together to discuss the problems. Our very first presentation was given by BW. She presented Exercise 2.2 and did a great job! With the time remaining we had AO, JC, and LC present Exercises 2.3, 2.5, and 2.9, respectively. Along the way, I discussed Exercise 2.4. I'm really pleased with how things went today. Unfortunately, we didn't get to Exercises 2.6, 2.8, 2.10-2.14. The plan is tackle these problems during the next class.
  • Friday, September 1: Another busy but productive day. I spent the first few minutes discussing few key points. This discussion included a summary of the rules for the intuitive definition of a group. The rest of class was devoted to covering ground in the notes. Along the way, MG, JG, DW, and AB presented Exercises 2.8, 2.10, 2.11, and 2.17, respectively. In addition, I lead discussions about Exercises 2.6, 2.12, 2.14, 2.18, and 2.19. Exercises 2.20-2.23 are still outstanding.

Week 2

  • Monday, September 4: Labor Day, no class!
  • Wednesday, September 6: I really enjoyed today! The first few minutes were devoted to discussing Exercises 2.20-2.23, which were left over from last week. This discussion included a review of the Rules 1-4 for the intuitive definition of a group. Next, we split the class up into 8 small groups, where each group was tasked with discussing one of Exercises 3.1, 3.2/3.3, 3.4, 3.5/3.6. We had SS, RF, NF, and DF present 3.1, 3.2/3.3, 3.4, and 3.5/3.6, respectively. We will squeeze in a quick discussion of Exercise 3.7 on Friday.
  • Friday, September 8: We cranked through a lot of stuff today. We kicked off with a general discussion of Cayley diagrams and then we chatted about Exercises 3.7 and 3.8. After small groups discussed problems, we had CK, GC, DV, and AO present Exercises 3.9(c), 3.10(cd), 3.11(bcd), and 3.11(fg), respectively. All the presentations were great. With the 10 minutes we had remaining, we spent some time discussing LaTeX, which students will use to type up their first weekly homework assignment.

Week 3

  • Monday, September 12: After a few quick announcements, we jumped right into student presentations. JN, EM, BD, and AB2 presented Exercises 3.12, 3.13, 3.14, and 3.15, respectively. All of the presentations generated good discussion. Next, I summarized the key points of Exercises 3.16 and 3.17. With the few minutes we had left, I discussed the use of LaTeX for the Weekly Homework.
  • Wednesday, September 13: Dr. Falk covered for me today while I was out. My understanding is that DW, JG, TR, JC, GF, JN, and DV presented Exercise 4.2, Exercise 4.3, Exercise 4.5, Theorem 4.6, Exercise 4.7, Theorem 4.8, and Exercise 4.11, respectively. The plan is to wrap up 4.12 and 4.13 next time.
  • Friday, September 15: Dr. Falk covered for me again today. BD, LC, SS, and JR presented Exercises 4.12, 4.13, 4.14, and Exercise 4.15 Our goal on Monday will be to wrap up discussion of 4.16, 4.19-4.24 and tackle 4.25-4.28.

Week 4

  • Monday, September 18: Today was action packed. We kicked off with reviewing some key ideas and looking over all of the Cayley Diagrams we have encountered so far this semester. As we marched through the notes, we had MG, JG, AO, and NF presented Exercise 4.19, Theorem 4.20, Problem 4.22, and Problem 4.25, respectively. I also led discussion on Problem 4.21, Exercise 4.23, Problem 4.24, and Problem 4.26, respectively.
  • Wednesday, September 20: After a few announcements, we split the class up into 7 small groups, where each group was tasked with discussing one of the homework problems. After some time, we had NF, BH, GL, BA1, JQ, BH, and MB present Exercise 4.27, Problem 4.28, Exercise 5.8, Exercise 5.9, Exercise 5.10, Exercise 5.11, and Exercise 5.16, respectively. During the last few minutes, I led a discussion about the proof of Theorem 5.14.
  • Friday, September 22: Coming soon.

Dana C. Ernst

Mathematics & Teaching

  Northern Arizona University
  Flagstaff, AZ
  Google Scholar
  Impact Story

Current Courses

  MAT 220: Math Reasoning
  MAT 411: Abstract Algebra

About This Site

  This website was created using GitHub Pages and Jekyll together with Twitter Bootstrap.

  Unless stated otherwise, content on this site is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.

  The views expressed on this site are my own and are not necessarily shared by my employer Northern Arizona University.

  The source code is on GitHub.