First, thank you for being a conscientious Math teacher, and being willing to talk about it! I bet your students' parents love you. My hat is off to you.
And I agree with your point that Math concepts should not only be taught in isolation, but in real application problems. You seem to really understand what is important here.
Although it is only of secondary importance to this thread, I am going to take issue with Every Day Math. That curriculum is hideously flawed in its mathematical approach, and no mathematician would ever condone the sloppy, ambiguous way that problems are posed and answered. I happily defer to your professional judgement on all aspects relating to child development, learning and teaching methods, etc. My indictment is of the actual math content and the unnecessarily sloppy wording used to describe it.
I have spend countless hours attempting to teach my children real math concepts, which are in direct conflict with the content and methods in Every Day Math. And at the same time, I have to balance this against the desire for them to provide the expected answers to homework and test questions.
Those are limitations of conventional holograms.
I don't know of any promising techniques to produce real time holograms for display, but techniques do exist to overcome the rest of those limitations.
At least one company, Zebra Imaging , makes large, color holograms for display. And the one I saw was quite impressive.
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... I am sure that the UI advice that Apple pays for is likely not as good.
Personally as a product developer myself, I would welcome such good detailed constructive criticism for free from a UI guru such as Tufte. Remember that there are all innovation is based on prior innovation, so it is good to have analysis done on existing products in order to improve on future versions.
With all due respect to Edward Tufte, Apple has pretty good design professionals in house. I suspect that any budding product developer might want to familiarize himself with Jonathan Ive and his work, including the iPhone.
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First, thank you for being a conscientious Math teacher, and being willing to talk about it! I bet your students' parents love you. My hat is off to you.
And I agree with your point that Math concepts should not only be taught in isolation, but in real application problems. You seem to really understand what is important here.
Although it is only of secondary importance to this thread, I am going to take issue with Every Day Math. That curriculum is hideously flawed in its mathematical approach, and no mathematician would ever condone the sloppy, ambiguous way that problems are posed and answered. I happily defer to your professional judgement on all aspects relating to child development, learning and teaching methods, etc. My indictment is of the actual math content and the unnecessarily sloppy wording used to describe it.
I have spend countless hours attempting to teach my children real math concepts, which are in direct conflict with the content and methods in Every Day Math. And at the same time, I have to balance this against the desire for them to provide the expected answers to homework and test questions.
Mike
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Those are limitations of conventional holograms. I don't know of any promising techniques to produce real time holograms for display, but techniques do exist to overcome the rest of those limitations. At least one company, Zebra Imaging , makes large, color holograms for display. And the one I saw was quite impressive. ---
Personally as a product developer myself, I would welcome such good detailed constructive criticism for free from a UI guru such as Tufte. Remember that there are all innovation is based on prior innovation, so it is good to have analysis done on existing products in order to improve on future versions.
With all due respect to Edward Tufte, Apple has pretty good design professionals in house. I suspect that any budding product developer might want to familiarize himself with Jonathan Ive and his work, including the iPhone.
http://www.businessweek.com/magazine/content/06_39/b4002414.htm?chan=search
http://www.time.com/time/magazine/article/0,9171,1576854-1,00.html