Hi Maria,

That's a fascinating project.  

Do you have any links to any examples of the activities families
develop?  Do the families produce resources/handouts that are used in
the learning activities? What tools do families use to generate and
share the activities?

I quickly scanned the list on google groups -- but admit due to time
constraints, I could easily have missed references to the examples :-(. 

As you suggest -- a wiki is a powerful tool to combine community
activity and engagement with both the creation and use of activities.
If you're interested -- shall we try a pilot?

Cheers
Wayne

On Sat, 2008-12-06 at 06:33 -0500, Maria Droujkova wrote:

> I'd like to describe a system we have started to develop in the family
> multiplication study. The "reusable objects" there are "small"
> according to "The reusability paradox":
> http://web.archive.org/web/20041019162710/http://rclt.usu.edu/whitepapers/paradox.html
>  Each object (or, to using the "discover the multiplication planet" metaphor 
> of the study - not a Lego metaphor, hehe - a "multiplication planet site") is 
> a very brief, skeletal description of a project or activity. The only 
> requirement of an activity design is that it should invite each participant 
> to create, build, invent and in general author their own mathematics. A few 
> examples of the current multiplication planet sites: spirolaterals 
> (sequences, order, rotation can be investigated and designed), snowflakes 
> (folding, reflection, rotation, contents of each segment), mirror books (an 
> art project about symmetry and 2d transformations), design your own 
> multiplication war game (coming up with buff cards and other game rules). 
> This is the study's mailing list: 
> http://www.groups.google.com/group/multiplicationstudy
> 
> Participating families select an activity per week, then describe how
> it went for them. Some families design their own, throw in design
> ideas, or request a design: "something about World War II" or
> "whatever we can do without writing" or "something to help us
> memorize." Parents describe themselves and their kids - as an aside,
> you'd be surprised how little age correlates with requested level of
> activities. Technically, after the study runs for a while, you can
> collect activity descriptions, edit comments that go with them, and
> publish a sort of "multiplication text." However, even if we exclude
> the idea that the community designs new activities every week, one
> goal of the study is to help future participants plan their own travel
> routes on the multiplication planet, based on how previous people
> selected activity sequences. I can't see a book providing such a
> service, because it involves software analyzing a database. I envision
> somebody following a friends' path, for example, or finding a family
> with similar philosophy and structure and following their steps, or
> going from the Snowflake activity to the Mirror book activity because
> both deal with symmetry and there are strong topic connections that a
> lot of people followed before. I'd like to see something like Amazon's
> book suggestions: "people like you read these books" - except on
> activity-to-activity basis. It's too early in the study to tell, but
> intuitively, it feels like the social aspects of the system won't be
> easy, or possible, to capture in a book format. A book may be a nice
> souvenir of the past of the study, but it won't provide the services
> participation in that community provides. 
> 
> This last paragraph is dreaming, brainstorming and wild speculation -
> please take it as such. A claim: history and story (narrative) help us
> understand and reify past activities for the purposes of planning the
> future and dealing with the present. A constructivist claim: "In the
> beginning was the deed" - to learn, do. A novice, in addition or
> instead of "catching up" on the (dead, reified) past through
> narratives, can be active in creating her own actions and adventures
> in active and adventurous current communities of practice. This
> requires tools that support action directly - both authoring action
> and social community action. A wiki can be such a tool, a book - ? 
> 
> -- 
> Cheers,
> MariaD
> 
> Make math your own, to make your own math.
> 
> naturalmath.com: a sketch of a social math site
> groups.google.com/group/naturalmath: a mailing list about math maker
> activities
> groups.google.com/group/multiplicationstudy the family multiplication
> study 
> 
> 
> On Fri, Dec 5, 2008 at 10:48 PM, Wayne <[EMAIL PROTECTED]> wrote:
> 
>         Hi Leigh
>         
>         In practical terms -- can you describe the teaching-learning
>         system you envisage in terms of the functions of teaching and
>         elements of the system. I'm not sure that I understand what
>         you are talking about.
>         
>         Cheers
>         Wayne
>         
>         
>         
>         
>         
>         
>         On Sat, 2008-12-06 at 14:21 +1100, Leigh Blackall wrote:
>         
>         > I'm not convinced we are pioneers at all. Illich is
>         > significant to me not for hi Deschooling Society, but for
>         > his vision of learning webs. As he describes it (in chapter
>         > 6 I think), Bolivia was rolling out OER in the form of
>         > television. The cost of television back then meant that
>         > Bolivia could afford 1 tv per 5000 Bolivians. Illich
>         > proposed a networked communication through audio cassette
>         > recordings. At the time, he proposed that Bolivia could
>         > afford 1 cassette recorder per 5 Bolivians
>         > with enough money left over to set up a postal service to
>         > facilitate the exchange of audio recordings being sent in by
>         > farmers and kids. He was talking about audio blogging, where
>         > today the cost of achieving what Illich envisioned is
>         > greatly reduced for us in the wealthy economies, but still
>         > impossible for your average Bolivian I guess. Even with
>         > OLPCs the difficulty of using a cassette recorder and postal
>         > service compared to an OLPC is laughable. 
>         > 
>         > Illich was talking about networked learning, without the
>         > middle man. Our OER efforts, and especially the production
>         > of text books with "learning design" interwoven is more
>         > broadcast, middle man OER like Bolivia's TV idea, distance
>         > learning, and to some extent the OLPCs.. nothing new at all.
>         > The only thing "new" in it is the copyright and the
>         > technology.. and seeing your historical reference predates
>         > modern history Wayne, even our new approach to copyright is
>         > nothing new. 
>         > 
>         > Peter Rawsthorne and James Neill have been talking about
>         > student generated content initiaties on Wikieducator for
>         > quite some time, and in many regards this is similar to
>         > networked learning accept that it tends to focus on a
>         > demographic we call students, that is typically made up in
>         > crude class systems like K12 and everything in between -
>         > leaving out the contributions that someone outside that
>         > class might have to offer - such as traditional,
>         > subsistance, local even mystical.
>         > 
>         > I'd hazard a guess that the funding is easily geared towards
>         > text books. They are tangible and have established processes
>         > and protocols. But this doesn't make it a good idea. A text
>         > book with "learning designed" in it, over powers so much of
>         > what might be otherwise possible. A straight text with a
>         > range of culturally appropriate "learning design" held
>         > seperately would be far more scalable and versatile.
>         > Especially with strong learning networks around each text.
>         > Strong networks like in Wikibooks and blogs for example, or
>         > any number of offline networks
>         > 
>         > Better would be a straight text with a learning network to
>         > go with it. In the poorer countries this is obviously not
>         > through the Internet and computers, but the ideas and models
>         > we have through the Internet could inform new approaches to
>         > radio, newspaper, telephone, and postal services.. even
>         > distance learning. 
>         > On Sat, Dec 6, 2008 at 1:25 PM, Wayne <[EMAIL PROTECTED]>
>         > wrote:
>         > 
>         >         Hi Leigh 
>         >         
>         >         
>         >         On Sat, 2008-12-06 at 08:57 +1300, Leigh Blackall
>         >         wrote:
>         >         
>         >         > Illich's Learning Webs idea for Bolivia, cited in
>         >         > his book Deschooling Society - predating ODL,
>         >         > ignoring "instructional design", and predicting
>         >         > post industrial society enabled by networked
>         >         > communications. Illich was interested in networked
>         >         > communications empowering subsistance living. 
>         >         
>         >         Illich's Deschooling Society is a seminal text and
>         >         is a highly recommended read for those dabbling in
>         >         the future of OER. 
>         >         
>         >         On a minor historical technicality ;-)  Illich's
>         >         Deschooling Society did not predate the practice,
>         >         research and publication in the field of DE/ODL.  I
>         >         believe Deschooling Society was published in 1971.
>         >         Their are published references on DE dating back to
>         >         1728. However mainstream DE research as a field of
>         >         research endeavour started appearing in the
>         >         literature in the early 1950's.  This followed the
>         >         inception of the world's first single-mode distance
>         >         education university which began teaching in 1946
>         >         --- (The University of South Africa).  The detail of
>         >         the actual dates is not too relevant -- but rather
>         >         the era in which these publications emerged.
>         >         
>         >         Deschooling Society was published shortly after the
>         >         peak of industrialisation after the second world
>         >         war. DE/ODL is in fact a consequence of the
>         >         industrialisation of society. DE delivery was not
>         >         possible before the invention of the printing press
>         >         and universal postal services. It's also interesting
>         >         to note that Illich's text was published shortly
>         >         after the student revolts of the 1960s and should be
>         >         read within this context. 
>         >         
>         >         Illich was not the only author commenting or
>         >         "predicting" on the emergence of post-industrial
>         >         society. For example, Daniel Bell's text on "The
>         >         Coming of Post-industrial Society" published around
>         >         the same time. The notion of "post-industrial"
>         >         society was a pretty topical issue of the time.  The
>         >         Fordist versus Post-Fordist debate has been well
>         >         documented in the DE literature  (including for
>         >         example: Raggart, Rumble, Farnes, Edwards etc.)
>         >         
>         >         Discontinuity theory is a contested concept in
>         >         sociological terms ---  Is post-industrial society
>         >         fundamentally different from industrial society, or
>         >         is it more of the same? Personally -- I buy into the
>         >         theory of discontinuity which would argue that the
>         >         networked world is structurally different, but at
>         >         the same time I err on the side of caution with
>         >         regards to how OER is unfloding on our planet. I see
>         >         many promising projects (WikiEducator included) -
>         >         but there is still lots of work for us to do before
>         >         OER becomes the default approach to education.
>         >         
>         >         Its going to be up to us to turn tommorrow's promise
>         >         for OER into today's reality! 
>         >         
>         >         It's fun being a pioneer! 
>         >         
>         >         
>         >         Cheers
>         >         Wayne
>         >         
>         >         
>         >         
>         >         
>         >         
>         >         
>         >         
>         >         
>         >         
>         
>         
>         
>         
>         
> 
> 
> 
> 
> 
> 
> > 

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