The System

What you need to know about this course:

This course is about mathematical thinking, mathematical communication and proof-writing.   Content is secondary, although still very important, and includes the basic material you will need in future mathematics courses:  sets, logic, functions and relations.

I run a highly adaptive and interactive course:

Expect to be active in zoom lectures, and outside of class. I will teach math study skills, not just material. There will be groupwork on zoom. Students will be expected to have cameras on, to participate actively in zoom, and to maintain a respectful and supportive classroom atmosphere. Material and examples will be in response to the students and the classroom. Together we can make this an excellent experience!

The course runs on a per-lecture cycle:

  • Attend lecture on zoom (see link in canvas)
  • Before the next lecture, view and perform tasks in the Daily Post (this website)

The Daily Post (on the front page of this site) is your guide to what needs doing now. Set aside 1 hour between every lecture for Daily Post tasks, and you’ll stay on track in the course. Further studying is at your discretion (it will be required, but you can decide when).

Graded work is weekly:

  • Each Monday a take-home Proof Quiz is due (on canvas). This is assigned Wednesday.
  • Each week (ending Friday) you can hand in as many Badge Requests as you like. You can pace yourself, but each badge is only open for at most 4 weeks, so diligence and pacing is rewarded.

What is a Proof Quiz? This is a single-proof quiz taken on your own time at home. It is to be taken alone. The time limit is one hour with no aids, notes, phone etc. However, you may view the quiz ahead of time and think about it before the official one-hour period. Quiz rules are given in more detail on canvas.

What is a Badge Request? This is when you hand in evidence you should earn your mastery of one of the Badge Topics (see “Grading” for a list). For each badge, you have at most 4 tries. All but the last are written assignments. The final try is an oral exam.

Discord and Study Pods:

We will use discord to collaborate and communicate in the course, as well as to hold office hours.  You should log into discord while doing your daily tasks to chat with others working on them too.  During the first week or two of class we will do some get-to-know each other activities that will allow for students to meet classmates. After that, we will divide the class into semester-long “study pods” which will serve as an additional classroom support system. These are not graded in any way, nor is participation mandatory. But doing daily posts in a group can be highly beneficial.

The bottom line:

We are learning skills, not material.  The only path to mastery is practice (think sports or foreign languages), and this course is designed to provide a support system for copious practice.   You will be challenged in many ways you’re not used to from previous math classes.