F ifty years ago there has been still a clear cut separation between pure and applied mathematics: pure mathematics had its home in the Olympus of academic sciences, whereas applied mathematics was left to the technical universities for teaching and research. Some time ago a colleague of mine from the department of mechanics of the Technical University of Vienna said partly amused partly offend...

In the summer of 2009, a professional development partnership was established between the Peoria Public School District (PPSD), a local education agency (LEA), and Illinois State University (ISU) to improve geometric and trigonometric knowledge and skill for high school mathematics teachers as part of the Illinois Mathematics and Science Partnership (MSP) grant, which was funded by the Federal ...

The modeling and control of nonlinear dynamic systems is challenging in mathematics engineering [...]

W hen I first encountered abstract algebra in the late 1960s, I was drawn to its power and beauty. One of the liberating ideas of the subject is that in dealing with algebraic structures, you do not need to worry about what the objects are; rather, it is how they behave that is important. Algebra is a wonderful language for describing the behavior of mathematical objects. My fascination with al...

The discussion of models and modeling in this chapter is based, in part, on the results of research on students’ understanding of quantum mechanics (Gardner, 2002) and research designed to probe students’ ability to visualize the rotation of organic molecules (Briggs, 2004). Our perspective on models and modeling has also been influenced by work in both physics education (Halloun, 1996) and mat...

When I first encountered abstract algebra in the late 1960s, I was drawn to its power and beauty. One of the liberating ideas of the subject is that in dealing with algebraic structures, you don’t need to worry about what the objects are; rather, it is how they behave that is important. Algebra is a wonderful language for describing the behavior of mathematical objects. My fascination with alge...