The UIUC PT3 Ed Grid Team

1. The UIUC PT3 Ed Grid Team Office for Mathematics, Science,and Technology Education University of Illinois at Urbana-Champaign http://www.mste.uiuc.edu

2. The UIUC Ed Grid Team Project is under the direction of MSTE With the support from the following campus units:

3. MSTE Websitehttp://www.mste.uiuc.edu/ The nexus for MSTE activities is its website. There, one can find information about MSTE activities and internet resources that promote exploration, modeling, and visualization in mathematics and science. Currently, the site receives over one million hits per month.

4. The MSTE Ed Grid Team Principal Investigators: • Kenneth J. Travers • Delwyn L. Harnisch Faculty in Mathematics Education: • Bridget A. Arvold • Rochelle Gutiérrez • Timothy M. Hendrix Faculty in Science Education: • Fouad Abd-El-Khalick • David E. Brown

5. An Intentional Recursive Pattern in Mathematics and Science Pre-Service Teacher Education Immersion (e.g., in content-based activities that promote modeling and visualization) Reflection (of how content knowledge and understanding influence pedagogical understanding) Synthesis (of theory and practice as a novice teacher exiting the teacher education program)

6. Visualization Tools Web-based java applets: • Project Interactivate, Shodor Education Foundation, http://www.shodor.org • National Library of Virtual Manipulatives, Utah State University, http://matti.usu.edu/nlvm/ • Office for MSTE, UIUC, home-grown java applets Software packages for visualization and analysis: • Mathematica and other CAS • Geometer’s Sketchpad • Logger Pro and Vernier data collection probes

7. Java Applets for Visualizing Mathematics One resource provided by the MSTE website are java applets that prompt exploration of various mathematics concepts. These applets can be found at:http://www.mste.uiuc.edu/java/

8. Screenshots of Other Sample Java Applets

11. Visualization Tools Web-based java applets: • Project Interactivate, Shodor Education Foundation, http://www.shodor.org • National Library of Virtual Manipulatives, Utah State University, http://matti.usu.edu/nlvm/ • Office for MSTE, UIUC, home-grown java applets Software packages for visualization and analysis: • Mathematica and other CAS • Geometer’s Sketchpad • Logger Pro and Vernier data collection probes

12. Using Geometer’s Sketchpad to model conic sections after folding wax paper:

15. Visualization Tools Web-based java applets: • Project Interactivate, Shodor Education Foundation, http://www.shodor.org • National Library of Virtual Manipulatives, Utah State University, http://matti.usu.edu/nlvm/ • Office for MSTE, UIUC, home-grown java applets Software packages for visualization and analysis: • Mathematica and other CAS • Geometer’s Sketchpad • Logger Pro and Vernier data collection probes

16. Math and science pre-service teachers working together to collect exercise heart rate data and analyze the data graphically on the computer

17. The following graphs were created using a motion detector.

18. Collaboration with local high schools: • Pre-service teachers engage in the same mathematics activities as the high school students • We “unpack” these experiences as teachers and then watch the high school students doing the same activity via polycom or video • In some cases, we create/modify activities for the high school students to try

20. “Meta-lessons” • “The use of the motion detector helps students learn about functions because they can see the graphs and data develop at the same time as they make the graph…” • “I became the function…” • “It helps students to visualize the concept of a function because ‘you can’t go back in time’…”