# Category Archives: Peer instruction

January 4, 2012, 8:00 am

I have been using clickers in my classes for three years now, and for me, there’s no going back. The “agile teaching” model that clickers enable suits my teaching style very well and helps my students learn. But I have to say that until reading this Educause article on the flight out to Boston on Sunday, I hadn’t given much thought to how the clicker implementation model chosen by the institution might affect how my students learn.

Different institutions implement clickers differently, of course. The article studies three different implementation models: the students-pay-without-incentive (SPWOI) approach, where students buy the clickers for class but the class has no graded component for clicker use; the the students-pay-with-incentive (SPWI) approach, where students purchase clickers and there’s some grade incentive in class for using them (usually participation credit, but this can…

October 25, 2011, 7:30 am

# Better examples through peer instruction

I just gave midterm evaluations in my classes, and for the item about “What could we be doing differently to make the class better?”, many students put down: Do more examples at the board. I think I’ve seen that request more often than any other in my classes at midterm. This is a legitimate request (it’s not like they’re asking for free points or an extra day in the weekend), but honestly, I’m hesitant to give in to it. Why? Two reasons.

First, doing more examples at the board means more lecturing, therefore less active learning, and therefore more passivity and dependence by students on authority. That’s bad. Second, we can’t add more time to the meetings, so doing more examples means either going through them in less detail or else using examples that are overly simple. In the first case, we have less time for questions and deep thought, and therefore more passivity and dependence….

September 15, 2011, 8:52 pm

# Using clickers for peer review of proofs

http://www.flickr.com/photos/unav/

Right now I’m teaching a course called Communicating in Mathematics, which serves two purposes. First, it’s a transitional course for students heading from the freshman calculus sequence into more theoretical upper-level math courses. We learn about logic, how to formulate and test mathematical conjectures, and we spend a lot of time learning how to write correct mathematical proofs. And therein is the second purpose: The course is also labelled as a “Supplemental Writing Skills” course at Grand Valley, which means that a large portion of the class, and of the course grade, is based on writing. (Here are the specifics.) It’s a sort of second-semester, discipline-specific composition class. (Students at GVSU have to have two of these SWS courses, each in different…

April 12, 2011, 8:07 pm

# Finding passion

I’m finally through one of the busiest three months I think I’ve ever spent in this business, so hopefully I can get around to more regular posting here. The last big thing that I did as part of this busy stretch also happened to be one of the coolest things I’ve done in a while: I got to do a clicker workshop for some of the senior staff of the Johnson County Humane Society.

It turns out that someone had donated a set of 50 TurningPoint RF cards and a receiver to the Humane Society for use in educational programming — but nobody at the Humane Society knew how to use them or had any idea what they could do with them. One of the leaders in the Humane Society saw an email announcing a workshop I was doing on campus and contacted me about training. We had a great workshop last Friday and came up with some very cool ideas for using clickers in the elementary schools to teach kids about…

March 28, 2011, 3:51 pm

# Salman Khan on the inverted classroom

Salman Khan, of the Khan Academy, sounds off on the potential of pre-recorded video lectures to change education in the video below. He calls it “flipping” the classroom, but around here we call it the inverted classroom.

I like especially that Salman made the point that the main effect of inverting the classroom is to humanize it. Rather than delivering a one-size-fits-all lecture, the lecture is put where it will be of the most use to the greatest number of students — namely, online and outside of class — leaving the teacher free to focus on individual students during class. This was the point I made in this article — that the purpose of technology ought to be to enhance rather than replace human relationships.

I hope somewhere that he, or somebody, spends a bit more time discussing exactly how the teachers in the one school district he mentions in the talk actually…

February 25, 2011, 8:00 am

# Technology making a distinction but not a difference?

This article is the second one that I’ve done for Education Debate at Online Schools. It first appeared there on Tuesday this week, and now that it’s fermented a little I’m crossposting it here.

The University of South Florida‘s mathematics department has begun a pilot project to redesign its lower-level mathematics courses, like College Algebra, around a large-scale infusion of technology. This “new way of teaching college math” (to use the article’s language) involves clickers, lecture capture, software-based practice tools, and online homework systems. It’s an ambitious attempt to “teach [students] how to teach themselves”, in the words of professor and project participant Fran Hopf.

It’s a pilot project, so it remains to be seen if this approach makes a difference in improving the pass rates for students in lower-level math courses like College Algebra, which have been at around 60…

February 11, 2011, 8:00 am

# Computers, the Internet, and the Human Touch

Image via Wikipedia

This article first appeared earlier this week on the group blog Education Debate at OnlineSchools.org. I’m one of the guest bloggers over there now and will be contributing articles 1–2 times a month. I’ll be cross-posting those articles a couple of days after they appear. You’d enjoy going to Education Debate for a lively and diverse group of bloggers covering all kinds of educational issues.

It used to be that in order to educate more than a handful of people at the same time, schools had to herd them into large lecture halls and utilize the skills of lecturers to transmit information to them. Education and school became synonymous in this way. Lectures, syllabi, assessments, and other instruments of education were the tightly-held property of the universities.

But that’s changing. Thanks to a…

January 4, 2011, 8:41 pm

# Bound for New Orleans

Happy New Year, everyone. The blogging was light due to a nice holiday break with the family. Now we’re all back home… and I’m taking off again. This time, I’m headed to the Joint Mathematics Meetings in New Orleans from January 5 through January 8. I tend to do more with my Twitter account during conferences than I do with the blog, but hopefully I can give you some reporting along with some of the processing I usually do following good conference talks (and even some of the bad ones).

I’m giving two talks while in New Orleans:

• On Thursday at 3:55, I’m speaking on “A Brief Fly-Through of Cryptology for First-Semester Students using Active Learning and Common Technology” in the MAA Session on Cryptology for Undergraduates. That’s in the Great Ballroom E, 5th Floor Sheraton in case you’re there and want to come. This talk is about a 5-day minicourse I do as a guest lecturer in our…

December 21, 2010, 4:41 pm

# Coming up in January

Fall Semester 2010 is in the books, and I’m heading into an extended holiday break with the family. Rather than not blog at all for the next couple of weeks, I’ll be posting (possibly auto-posting) some short items that take a look back at the semester just ended — it was a very eventful one from a teaching standpoint — and a look ahead and what’s coming up in 2011.

I’ll start with the look head to January 2011. We have a January term at my school, and thanks to my membership on the Promotion and Tenure Committee — which does all its review work during January — I’ve been exempt from teaching during Winter Term since 2006 when I was elected to the committee. This year I am on a subcommittee with only three files to review, so I have a relatively luxurious amount of time before Spring semester gets cranked up in February. A time, that is, which is immediately gobbled up by the…

November 29, 2010, 9:00 am

# What correlates with problem solving skill?

About a year ago, I started partitioning up my Calculus tests into three sections: Concepts, Mechanics, and Problem Solving. The point values for each are 25, 25, and 50 respectively. The Concepts items are intended to be ones where no calculations are to be performed; instead students answer questions, interpret meanings of results, and draw conclusions based only on graphs, tables, or verbal descriptions. The Mechanics items are just straight-up calculations with no context, like “take the derivative of $$y = \sqrt{x^2 + 1}$$”. The Problem-Solving items are a mix of conceptual and mechanical tasks and can be either instances of things the students have seen before (e.g. optimzation or related rates problems) or some novel situation that is related to, but not identical to, the things they’ve done on homework and so on.

I did this to stress to students that the main goal of taking …

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