Monday, March 24, 2014

Common Core Map | Khan Academy

I highly recommend this service as it takes care of data driven instruction needs of teachers pretty heavily, and well-rounded.  Better than your time wasted trying to get it right, they've already done that for you!!!  Khan and his team is a Teacher's Best-Friend and Best Advocate!

Common Core Map | Khan Academy

Saturday, October 19, 2013

Friday, October 18, 2013

MUSIC AND LEONARDO DA VINCI PAINTING

Music is closely linked to mathematics in terms of the rhythmic patterns a piece of music can employ. Leonardo understood this. Leonardo da Vinci's Mathematical Composition

In the painting of the Last Supper, it was recently discovered that the proportions of the Last Supper painting were mathematical in nature (apart from the use of a vanishing point), which derive themselves from the musical equation of 12:6:4:3.

If measured in equal units, the paintings' size is 6 by 12 units. The back wall measures 4 units and the windows are 3 units. 

In terms of the musical equation, 6:12 represents an octave, 4:6 denotes a fifth and 3:4 is a fourth. 

Leonardo left clues to his thinking with the following quotes, 'resonance between visual and aural harmonies' which shows he saw a correlation between the two (painting and music) and 'offer praise to the harmonies of the universe' was used to signify his intention of using the equation proportion. 


Within the painting, music melds the harmonies of the paint and mathematics.
http://www.leonardo-da-vinci-biography.com/leonardo-da-vinci-mathematician.html