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week 3: post mortem

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Hi:

I am not one to draw something out when it seems it's not working.  Apologies for those who for some reason feel that the course *is* working, or whose participation has just been delayed for some reason or another.  If someone wants to "revive" the course please be my guest.  I will be happy to "follow along". As it stands, it seems to me this course isn't working for a number of reasons.

Briefly, no one is doing the work -- including me, and that's an important point. Even if it's reasonably clear what the work "is", it is in no way clear that its work that any of us actually wants to do. No one has posted in the forums saying "I really want to learn Calculus, but I find this course confusing for the following reasons....". I feel like I had to work hard to recruit people to take this course, and I don't think that's how peer-to-peer courses should work.

There are some further comments in this mailing list -- feel free to follow up either in this forum or in the list: http://groups.google.com/group/p2pu-mathfuture/browse_thread/thread/2ed4bb0c2280dded. I also had created a short survey that I planned to run at the "end" of the course -- and since from my point of view the course is ending now, I'll provide a link to the survey at this time: http://www.surveymonkey.com/s/ZWG67Q2. As always, please feel free to follow up with me directly - holtzermann17@gmail.com.  Any thoughts you'd like to share will help things go better "next time".

Apologies for ending this abruptly and on a somber tone. I wish you the best with your studies and your work.

Joe Corneli

Maria Droujkova's picture
Maria Droujkova
Sat, 2011-02-12 17:25

Joe, thank you for making it work for a while. I want to suggest we each name one thing that will help a p2p calc course in the future. I will start.

At a gamification seminar recently, the presenter introduced the pattern of engagement: ARAARAAARAAAAR... Here A stands for activity and R for response. The first A must be short (one minute) and response must follow. I would not mind seeing something like this. It goes for the course I am running too, by the way.

Thanks a lot, Joe!

Joe Corneli's picture
Joe Corneli
Sat, 2011-02-12 19:27

Thanks Maria,

That ARAARAAAR etc is a great idea!! (note: it's also good for talk-like-a-pirate day :) ).

Let's see if we can fine tune it a bit and apply to next quarter...

Another thought: does this extend to "negative phases" -- i.e. is there a corresponding pattern for course *design*?

Maria Droujkova's picture
Maria Droujkova
Sat, 2011-02-12 21:44

Here is my review, screenshots and link to the recording of this presentation by the way https://groups.google.com/forum/#!topic/mathgamedesign/kDGN9Z_0Vx0

Joe Corneli's picture
Joe Corneli
Sat, 2011-02-12 22:49

Cool; have shared with my Math for Game Designers course -

http://p2pu.org/math-future/node/14535/forums/26268

Brylie Oxley's picture
Brylie Oxley
Thu, 2011-02-17 09:16

I just found an article on Wikiversity entitled Constructivism in the Math Class.

Maria Droujkova's picture
Maria Droujkova
Thu, 2011-02-17 14:51

What interested you in the article, Brylie?

Brylie Oxley's picture
Brylie Oxley
Thu, 2011-02-24 03:04

I like the article because it explains that learning emerges from the lerners' experiences as opposed to being deposited in the leaner from an objective reality. The article also suggests finding relevant experiences and excercises to learn math. There is a suggested, and essential, peer-to-peer element to the learning process.

Additionaly, the suggestions about making abstract concepts tangible, with actual objects, seems like a 'solid' (i.e. effective) way to learn.

What stands out to everyone else here about the article and the constructivist approach to learning?

Joe Corneli's picture
Joe Corneli
Thu, 2011-02-24 17:47

I think the first thing to note is that "constructivism" also has a mathematical meaning:
http://en.wikipedia.org/wiki/Constructivism_(mathematics)
basically related to the idea that to prove something true, it's not fair to (a) say "Assume it's not true", and (b) derive a contradiction. So, to prove that something exists, one has to "construct" it. The philosophical foundation for this theory is that "the statements an observer can make about the universe are divided into at least three groups: those that we can judge to be true, those that we can judge to be false and those whose truth we cannot decide upon at the present time".

There might be a nice way to relate this type of constructivism to the one you mentioned, e.g. through ideas like "[Constructivist learning theory] assumes humans can’t know the world as it is because there can’t be proved there is such a thing as objective cogniscence of the outside world." That's similar to the above statement which says, roughly, that it's not all black and white.

Maybe these philosophies can help us sketch a *third* type of constructivism, a "constructivist theory of motivation" or perhaps even "constructivist economics". A background question for such a theory would be: "How can you know what you like -- until you try it?". (Paraphrasing Francis the badger from "Bread and Jam for Francis".) But the deeper question is: why are people interested in X, Y, or Z?

For example, learning how to program is potentially "interesting" for people because programming can fairly quickly be used to make money. Maybe there are other reasons that it is more aesthetically interesting (e.g. it conveys a sense of power and control to the programmer). Mathematics has WAY LESS IMMEDIATE pay-off in terms of money. That said, according to a relatively recent study, "mathematician" was rated the NUMBER ONE most satisfying job in the US. See http://online.wsj.com/article/SB123119236117055127.html and http://www.careercast.com/jobs-rated/2009-jobs-rated-methodology

Perhaps a debatable finding -- no doubt everyone would put different priorities on the various factors, for instance -- but interesting as a collection of important factors nonetheless.

In particular, many the factors that this study considers could apply to people who are not professionals but are still students: physical environment, emotional environment, economic outlook, stress, and so on. My conclusion at the moment is that "learning design" should try to take these and other "life quality" factors into account. Is that "constructivist"? Maybe it would be, if people are allowed to define and update their own personal preferences as they go.