I'm writing a book and learning materials, in the Public Domain, for
adult self-learners who want to learn basic math (arithmetic to
precalculus) in terms of deep ideas and classic problems. Here are my
notes so far: http://www.gospelmath.com/Math/DeepIdeas
Currently, I've been reading George Polya's classic books "How to Solve
It" and "Mathematical Discovery: On Understanding, Learning and Teaching
Problem Solving". I'm curious who today is building on his work or
pursuing similar directions?
For example, I've created a generic "playsheet" for students I tutor:
http://www.gospelmath.com/upload/playsheet.jpg
I've created spaces for them to state a problem (such as adding
fractions 1/2 + 1/3), calculate the problem, illustrate the problem
(let's say with a pie chart), make up a non-contrived word problem (You
own 1/2 of a company and I own 1/3, how much do we own together?), do
scratch work, check your answer, write down the final answer, but also
alternate answers, jot down any ideas or questions that come up, and
indicate how hard or easy the problem was. My thought is to help the
students fill out the sheet so that they can make up and do similar
problems at home. Hopefully, as they get to used to this, they can be
more original and make up their own problems or variations.
My real passion is to build a directory of "ways of figuring things out"
in all manner of fields, including math, science, engineering, medicine,
law, finance, theater, art, music, governance, agriculture, sports,
ethics, teaching, learning and many more. Here's my proposal:
http://www.selflearners.net/Business/Proposal and here are 200+ ways
that I've figured things out in my philosophy and my life:
http://www.selflearners.net/ways/ Ultimately, I want to express them as
games. Thus I'm active in the Gamestorming community for business
innovation: http://www.gogamestorm.com/?p=536
How might I best seek support, private or public, for such Public Domain
projects?
Thank you!
Andrius
Andrius Kulikauskas
http://www.selflearners.net
m...@ms.lt
Twitter: @selflearners
+1 (773) 306-3807
Regards,
Steve Garlick
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And do we know of any support for publishing Public Domain learning
materials or textbooks?
I have a Ph.D. in math from UCSD.
Thank you!
Andrius
Andrius Kulikauskas
http://www.selflearners.net
m...@ms.lt
+1 (773) 306-3807
Twitter: @selflearners
My real passion is to build a directory of "ways of figuring things out" in all manner of fields, including math, science, engineering, medicine, law, finance, theater, art, music, governance, agriculture, sports, ethics, teaching, learning and many more. Here's my proposal: http://www.selflearners.net/Business/Proposal and here are 200+ ways that I've figured things out in my philosophy and my life: http://www.selflearners.net/ways/ Ultimately, I want to express them as games. Thus I'm active in the Gamestorming community for business innovation: http://www.gogamestorm.com/?p=536
How might I best seek support, private or public, for such Public Domain projects?
Thank you, that helps. I wrote to Alan Schoenfield, but he hasn't responded yet:
http://groups.yahoo.com/group/livingbytruth/message/1118
Anybody else?
And do we know of any support for publishing Public Domain learning materials or textbooks?
Mike South wrote: Something that may be of use is first person narrative of an actual problem solution by various people.
Usually by the time you write up a problem solution you've figured out optimizations in your logic and completely forgotten about many of the blind alleys you went down.
I totally agree. Screencasts of people writing using tablets like scratch paper would be great. Linda
Mike South wrote: Something that may be of use is first person narrative of an actual problem solution by various people.
Usually by the time you write up a problem solution you've figured out optimizations in your logic and completely forgotten about many of the blind alleys you went down.
I totally agree. Screencasts of people writing using tablets like scratch paper would be great. Linda
Thank you!
Andrius
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Sue – do you want a screencast of me thinking about and solving a problem on my tablet? If so, I can do this – do you have anything particular in mind?
If not, no worries.
Linda
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How about Creative Commons? For example,
has several free math and science textbooks.
> Have you looked at lulu.com?
Not just lulu.com, but booki for writing and translating books. FLOSS
Manuals is developing it, and uses it for Free Software manuals
http://booki.flossmanuals.net/
and then uses lulu.com for on-demand printing. Booki is Free Software
available for anyone to use. There is a public instance on the Web
where you can write any sort of book you like.
I'm helping to organize Spanish book translations for FLOSS Manuals.
--
Edward Mokurai (默雷/धर्ममेघशब्दगर्ज/دھرممیگھشبدگر ج) Cherlin
Silent Thunder is my name, and Children are my nation.
The Cosmos is my dwelling place, the Truth my destination.
http://www.earthtreasury.org/
Hi Sue – wasn’t sure whether this is anything like what you had in mind. http://mathcasts.org/mc/lfs/trianglecountS/trianglecountS.html
A. I tried really hard to just “jump right in” and not think at all about it as I think the point was to see “how we start to organize our thoughts”. (I am sure others organize their thoughts much better, but I like to think that there are a lot of people out there like me that meander their way through problems.)
B. I left in my erroneous thinking about T3-s since I thought this important.
C. If I was actually producing this formally, I would correct my “typos”, e.g. (towards the end) there are 2 places I say “triangle” and mean “square” and there are 2 places I write “T3” and mean “T4”.
D. Finally, clearly I didn’t finish the problem because (1) ran out of time, (2) wasn’t sure this was what we were looking for and (3) don’t really like these problems. (Guess which one is the real factor – Ok Maria, if this counts as a rich problem, I admit I don’t like it personally :)).
Happy Saturday to all! Linda
P.S. Done with cheap graphics tablet on a regular laptop; recorded/produced with camtasia studio.
Hiya Dani, et.al.
Oh yes – I see now how to draw it with MuMart. Thank-you. I REALLY like in you Jing how you do it with numbers and then add the “parameter” making it clear what the x is for. (It seems to me that the commands: DECLARE x param x{2,8} are defining a whole number slider).
I thought I would clarify that I don’t particularly like these problems as I have a problem “seeing” like others. Thus I consider these “trick” problems since I never see pictures the way other people see. I never “see all the triangles”, I don’t get the right count and there is no way to check. So even though I understand all the principles of problem solving, I easily get these problems wrong. This really annoys me.
Sure. Linda
From: mathf...@googlegroups.com [mailto:mathf...@googlegroups.com] On Behalf Of Sue VanHattum
Sent: Sunday, February 13, 2011 6:04 AM
To: mathf...@googlegroups.com
Subject: RE: [Math 2.0] How to solve it! Who is continuing Polya's legacy?
Linda, Dani and Mike, may I quote you and/or point to your creations as part of my blog post about this problem? (I'll post it here too when I'm done.)
Warmly,
Sue
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