\magnification=\magstep1
\overfullrule=0pt
\noindent
{\bf Math Across Time and Cultures}
\bigskip
\noindent
{\it Fall Semester.  Mathematics Over Time}
\bigskip
How did mathematics grow out of human beings' attempts to understand
the natural world?  Where did the mathematical topics you learned in 
high school come from?  Are there distinctive features of specifically 
mathematical knowledge?  In this course we will study some of the development 
of arithmetic, geometry, and algebra over time.  We will take a close 
look at some of the most important sources, including the 
{\it Elements} of Euclid, and trace their influence on how mathematics 
is understood and presented today.  One focus will be the development 
of the idea of proof and its role in mathematics.
\bigskip
\noindent
{\it Spring Semester.  Mathematics Across Cultures}
\bigskip
Were the Islamic artists who created the geometric 
mosaics of the {\it Alhambra} in Granada, Spain ``doing mathematics?''
To what extent are mathematical ideas a part of all human cultures?
In this course, we will examine examples of ways of thinking
about the world, works of art, crafts, games, and so forth from 
several different African, Asian, Native American, and European cultures.
These ideas and objects will share many features with concepts 
developed in Western mathematics and we will analyze and study them 
using that mathematics.  But did the creators of these ideas and objects 
think about them in the same way?   And are there implications for how 
mathematics should be taught and learned in a multicultural world?  
\bye



















































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































































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