On Wed, Mar 27, 2013 at 9:29 AM, Joe Niederberger <email@example.com> wrote:
GSC says:Actually, some people think our inborn number sense is logarithmic, and when we learn to count we are sort of working against that bias.
>"... the greatest shortcoming of the human race is our inability to understand the exponential function" -
>This 'shortcoming' seems to have been something 'genetically inbuilt in our psyche. How than to bring home to students the overwhelming importance of this function?
This is where someone needs (is obliged to) mention music and logs and the fact that the eight notes of the octave represent a doubling then another doubling (of frequency).
http://sites.cdnis.edu.hk/teachers/pierrelacoste/2010/11/05/music-and-logarithms/ (see The Big Picture)
This was also the topic of Sir Roger spoke about at our Oregon Math Summit in 1997 as I recall. He was mapping the scale to e to the i theta in some way.
http://www.grunch.net/synergetics/mathsummit.html (goes into more detail about what he talked about)