This course will examine and model an investigative approach to secondary mathematics instruction through hands-on activities with standards-based and technology-intensive curricula in secondary mathematics. The course will examine learning theories in mathematics in view of recent national and state recommendations for mathematics curricula and instruction--the NCTM's Principles and Standards 2000 and the Illinois Learning Goals. The course will include several special emphases. Students will work almost exclusively in an online environment, using wireless internet-connected iBook laptops. Practically all coursework will be submitted online through the course website. In addition, students will: have the opportunity to develop and to present lessons both at a variety of grade levels and in a variety of subject matter topics. have hands-on experience with powerful tools for learning mathematics, including various manipulatives; software such as Geometer's Sketchpad, Excel, and Fathom; graphing calculators; computer-based laboratories and data collection devices; interactive Java applets and other internet resources. have the opportunity to learn about web development, the basics of HTML, and curriculum development for the Internet.