# Category Archives: Teaching

July 23, 2012, 10:36 pm

# What does Khan Academy need?

Marshall Thompson writes in this blog post from a couple of weeks ago that he’s concerned over the tone of the recent and ongoing Khan Academy/#mtt2k debate and is worried about the cost it incurs. It’s a good post, and in the process of commenting on it I realized a few things. Marshall writes:

I get the impression that KA has a goal of pedagogical soundness. Is this the best way to help them achieve that goal?

Sal Khan is not a dummy. He is clearly working through some of the same pedagogical misconceptions we all worked through (and continue to work through). How can we best help him through his personal journey without alienating him or causing him to be defensive?

I have tremendous respect for Sal Khan, but I have to admit that I’m not really concerned about his personal journey or his working through pedagogical misconceptions. It would be fantastic if he began…

July 18, 2012, 9:44 am

# For proofs, just click “play”

This week I am adding to the playlist of screencasts for the inverted intro-to-proofs class I first mentioned here. There are seven chapters in the textbook we are using and my goal is to complete the screencasts for the first three of those chapters prior to the start of the semester (August 27). Yesterday I added four more videos and I am hoping to make four more tomorrow, which will get us through Chapter 1.

The four new ones focus on conditional (“if-then”) statements.  I made this video as the second video in the series as a prelude to proofs, which are coming in Section 1.2 and which will remain the focus of the course throughout. Generally speaking, students coming into this course have had absolutely no exposure to proof in their background with the exception of geometry and maybe trigonometry, in which they hated proofs. Watch a part of this and see if you can figure out my …

July 13, 2012, 8:17 am

# Screencasting for the inverted proofs class

Here’s the first (and so far, only) screencast that students will use in the inverted transition-to-proof class:

This one is a bit more lecture-oriented than I intend most of the rest of them to be, so it’s a little longer than I expect most others will be. But I do break up the lecture a little bit with a “Concept Check”, which is the same thing as a ConcepTest except I’ve never warmed to that particular term (the word “test” puts students on edge, IMO).

If you have tried out any of Udacity’s courses or read my posts about taking Udacity courses, you will see some obvious inheritances here. I tried to keep the video short, provide simple but interesting examples, and give some measure of formative assessment in the video. I am exploring ways to make the Concept Check actually doable within YouTube — Camtasia 2 has an “interactive hotspot” feature I am trying to figure out — …

July 10, 2012, 11:38 am

# Inverting the transition-to-proofs class

When I see the first back-to-school sales, I know it’s time, like it or not, to start prepping classes for the fall. This fall I am teaching two courses: a second-semester discrete math course for computer science majors and then two sections of “Communicating in Mathematics” (MTH 210). I’ve written about MTH 210 before when I taught it last fall. This fall, it’s going to be rather different, because I’m designing my sections as inverted or “flipped” classes.

If you’ve read this blog for any length of time, you know I’ve worked with the inverted classroom before (here, here, here, etc.). But except for a few test cases, I haven’t done anything with this design since coming to GVSU. I decided to take a year off from doing anything inverted last year so I could get to know the students and the courses at GVSU and how everything fits together. But now that I have the lay of the land, I…

July 5, 2012, 4:13 pm

# Looking for evidence?

Amid all the shuffle of the #mtt2k phenomenon and my piece on Khan Academy this week — which is well on its way to being the most-read and -retweeted article I’ve ever done — Konstantin Kakaes put up a response to critiques of his Slate piece on educational technology. In it, he addresses both my critique and that of Paul Karafiol. I wanted to give just a few counter-critiques here. I haven’t had a chance to read Paul’s piece, so I’m just going to focus on the part of the response that referenced my post. (Here’s the full post I wrote about the Slate article.)

Let’s go back to the original Slate piece, which said:

Though no well-implemented study has ever found technology to be effective, many poorly designed studies have—and that questionable body of research is influencing decision-makers.

The Slate piece suggests that researcher bias, brought on by having a financial stake in…

July 3, 2012, 9:08 am

# The trouble with Khan Academy

At some point around the beginning of February 2012, David Coffey — a co-worker of mine in the math department at Grand Valley State University and my faculty mentor during my first year — mentioned something to me in our weekly mentoring meetings. We were talking about screencasting and the flipped classroom concept, and the conversation got around to Khan Academy. Being a screencaster and flipped classroom person myself, we’d talked about making screencasts more pedagogically sound many times in the past.

That particular day, Dave mentioned this idea about projecting a Khan Academy video onto the screen in a classroom and having three of us sit in front of it, offering snarky critiques — but with a serious mathematical and pedagogical focus — in the style of Mystery Science Theater 3000. I told him to sign me up to help, but I got too busy to stay in the loop with it.

It…

June 29, 2012, 2:23 pm

# The summer of BYOD

So, the six-week Calculus 2 class is over with — that didn’t take long — and there’s beginning to be enough distance between me and the course that I can begin to evaluate how it all went. Summer classes for me are a time when I like to experiment with things, and I wanted to comment on the outcomes of one experiment I tried this time, which is using a bring-your-own-device setup for clicker questions.

I’ve been using TurningPoint clickers ever since I started doing peer instruction, and I recommend these devices highly. They have a lot going for them in terms of classroom technology: They are small and unobtrusive, relatively cheap (\$35), exceedingly simple to use, rely on no pre-existing infrastructure (for example, whether or not you have decent wifi in the room), and are nearly indestructible. They are about as simple, dependable, and inexpensive as a radio-operated garage door…

June 27, 2012, 11:52 am

# Two big mistakes in thinking about technology in education

Slate magazine has been running several articles on education this week, including two today that are of interest. This one by Konstantin Kakaes is worth looking at more closely, if only because it somehow manages to gather almost every wrong idea about technology in education in existence into a single, compact article.

The piece proposes that the effort to increase the use of technology in education “is beginning to do to our educational system what the transformation to industrial agriculture has done to our food system over the past half century: efficiently produce a deluge of cheap, empty calories.” I’m not sure which “effort” Kakaes is referring to, since there is no single push being coordinated from a secret underground bunker that I know of, and some efforts are better-conceived than others. But nevermind.

June 13, 2012, 12:17 pm

# Continuous learning instead of “lifelong learning”

This will probably be my last missive from the ASEE conference, since I’m going into my talk session in an hour and then heading directly to the airport. It’s been a good meeting, and it’s always good to rub shoulders with my engineering colleagues to see what they’re doing. As I blogged on Monday, engineers are doing some pretty great things in education.

One of the threads that has really resonated with me here is the necessity of lifelong learning in STEM education. I sort of dislike that term, “lifelong learning”, because I don’t feel like it conveys sufficient urgency. When you hear engineers talk about this, you get that urgency: The problems engineers face are increasing in complexity at an exponential pace, and as one plenary speaker put it, it’s essential to be able to add continuously to your skill set in order to be a practicing engineer. All the good grades in the world…

June 12, 2012, 7:00 am

# Misunderstandings vs. misconceptions

The first speaker in the Model-Eliciting Activities (MEA’s) session Monday morning said something that I’m still chewing on:

Misunderstanding is easier to correct than misconception.

She was referring to the results of her project, which took the usual framework for MEA’s and added a confidence level response item to student work. So students would work on their project, build their model, and when they were done, give a self-ranking of the confidence they had in their solution. When you found high confidence levels on wrong answers, the speaker noted, you’ve uncovered a deep-seated misconception.

I didn’t have time, but I wanted to ask what she felt the difference was between a misunderstanding and a misconception. My own answer to that question, which seemed to fit what she was saying in the talk, is that a misunderstanding is something like an incorrect interpretation of an idea …

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