March 11, 2013, 8:00 am
It’s been a while since I last wrote about the recently-completed inverted transition-to-proof course. In the last post, I wrote about some of the instructional design challenges inherent in that course. Here I want to write about the design itself and how I tried to address those challenges.
To review, the challenges in designing this course include:
- An incredibly diverse set of instructional objectives, including mastery of a wide variety new mathematical content, improvement in student writing skills, and metacognitive objectives for success in subsequent proof-based courses.
- The cultural shock encountered by many students when moving from a procedure-oriented approach to mathematics (Calculus) to a conceptual approach (proofs).
- The need for strong mathematical rigor, so as to prepare students well for 300-level proof based courses, balanced with a concern for student…
January 28, 2013, 7:45 am
This is the second post in a series on the nuts and bolts behind the inverted transition-to-proofs course. The first post addressed the reasons why I decided to turn the course from quasi-inverted to fully inverted. Over the next two posts, I’m going to get into the design of the course and some of the principles I kept in mind both before and during the semester to help make the course work. Here I want to talk about some of the design challenges we face when thinking about MTH 210.
As with most courses, I wanted to begin with the end in mind. Before the semester begins, when I think about how the semester will end, the basic questions for me are: What do I want students to be able to do, and how should they be doing it?
This course has a fairly well defined, standard set of objectives, all centered around using logic and writing mathematical proofs. I made up this list that has…
May 1, 2012, 9:18 am
I took a two-week blogging hiatus while final exams week, and the week before, played themselves out. Now that those fun two weeks are over, it’s time to start focusing on what’s next. Some of those things you’ll read about here on the blog, starting with the most immediate item: my spring Calculus 2 class that starts on Monday.
Terminology note: At GVSU and other Michigan schools, the semester that runs from January through April is called “Winter” semester. The period in between Winter and Fall is split into two six-week terms, the first being “Spring” (May-mid June) and the second “Summer” (mid June-July). It’s quite accurate to the climate here.
Anyway, my Calculus 2 class runs in that 6-week Spring term. If you know anything about Calculus 2, and you have a sense of just how long, or short, a 6-week period is, the first thing you’ll realize is that this is a lot of content…