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Topic: Lesson Plan (alternative models of multiplying to get area)
Replies: 16   Last Post: Aug 22, 2017 11:20 PM

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kirby urner

Posts: 3,666
Registered: 11/29/05
Re: Lesson Plan (alternative models of multiplying to get area)
Posted: Aug 21, 2017 8:41 PM
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True enough I'm the token "Fuller disciple" here on
math-teach.

Given recent history, it's not surprising to find one of
his "cult members" here. I use scare quotes cuz Fuller
did his level best to avoid "cult leader" status, though
he attracted his share of devotees, collaborators, co-
conspirators (Marshall McLuhan, Arnold Toynbee,
Hugh Kenner...).

I'm not apologetic for keeping his "concentric hierarchy"
alive though, his Kepleresque embedding of polyhedrons one
inside the other (Russian Dolls), with the tetrahedron
his volumetric unit. A & B modules. T & E, S modules.
Cubocta:Icosa :: S:E. https://repl.it/IqOL Lots of low-
hanging fruit in this area, as David Koski will attest.

Sharing such content in K-14 is not that off the wall
given how super-accessible it is, visually as well as
mathematically. I'm used to other teachers sounding
defensive, giving lip service to how math is a big
tent... but maybe not that big. I'm also a speaker at
art schools and maker spaces (more 3D printing ahead).

If Fuller's writing were incomprehensible, I doubt Nature
would have singled out Operating Manual for Spaceship
Earth as one of the more influential tomes of the 1970s.[1]

His writing is difficult, but so is Heidegger's. My
background as a philosophy reader (Wittgenstein etc.)
leads me to plow into esoterica such as Synergetics.
Applewhite liked how I brought Wittgenstein's "meaning
through use" dogma into juxtaposition with Fuller's
alt-meanings. The Synergetics vocab was deliberately
remote (see Synergetics 250.30).

When I share the whole number volumes table with kids, I'm
quick to remind them they won't find any of this in the
textbooks. That tends to add to their curiosity.

Remember, the Jitterbug Transformation is alluded to in
the logo of the IMU (International Mathematical Union),
and the old NCTM logo was an octet-truss. The memes
are still out there, albeit in a somewhat X-Files blend.[2]

Kirby

[1] 26 November, 2015 pg.
https://flic.kr/p/BeVqrV

[2] http://controlroom.blogspot.com/2015/02/a-tale-of-two-logos.html



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