The Payton Math Department believes that students learn best when they are actively doing mathematics. Our courses take a problem-solving based approach, in which ideas arise in multiple representations (numeric, graphical, symbolic, and verbal/contextual). We incorporate technology where it is enriching; we use the Nspire+CAS calculator in class and on homework to explore ideas and hone skills, but also use Mathematica, Geometer's Sketchpad, Fathom, and other software. We value both pure mathematics and proof along with investigations, discovery, and applications. We take a varied approach to meet the learning needs of all of our students.