Mathematics is.... A Mathematician does....
In line with the making of New year's Resolutions, why not resolve to read a great book about mathematics? Yes, why not...and I have a great suggestion for a book.
A good choice would be Ian Stewart's Letters to a Young Mathematician (2006). This new book is written as a series of letters written by a mathematician to a young woman interested in both studying and doing mathematics. the letters trace her life from the high school level to college to graduate school to a role as a tenured university mathematician herself.
Embedded within these letters, Stewart discusses a variety of things, such as:
 What is mathematics?
 Why is mathematics worth doing?
 How is logic related to proof?
 What is the role of beauty in mathematical thinking?
 What is the future of mathematics?
In addition to prompting thoughts within you regarding your own views and connections to mathematics, the book should be shared with your students as a means of revealing multiple aspects of the wonderful world of mathematics. In fact, why not read parts of the book to your students!
