San
Francisco Museum of Modern Art
The i-Math
Investigation on Connections between Art and Mathematics
tries to provide a context in which aspects from
the process standards and two content standards--Patterns,
Function, and Algebra, and Geometry and Spatial
Sense--can be seen as related across grade levels.
A central
message in Principles and Standards is that
an individual's understanding of any idea is not
static, as described in the document:
"Understanding
is not something that one either has or does not
have. Rather, understanding varies in depth and
an individual's understanding of any idea is constantly
changing. Understanding of mathematical ideas
should grow and deepen across the grades" (PSSM:
Discussion Draft, 1998, p. 33)
The purpose
of this i-Math investigation is three-fold: first,
to illustrate how a concept can be presented across
grades at both an intuitive and more formal level;
second, to provide teachers with an opportunity
to see how apparently unrelated mathematics concepts
can be encompassed within a larger mathematical
idea; and third, to show how mathematical concepts
and relationships apply to fields outside mathematics.
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We will virtually visit the San Francisco
Museum of Modern Art several times with different
"eye glasses" and we will explore different
mathematical relationships in each of our
visits to the museum. First we will wear the
"pattern" glasses and we will look for patterns
in the architecture, in the interior design,
and in the art pieces of the museum. In our
next visit we will use the "tesselation" glasses
and finally the "projective geometry" glasses.
We would like you to follow the virtual tour
of this Illumination and tell us about other
mathematical relationships and/or applications
of mathematics that you see.
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References
and Credits
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