1. Dr. Robert Siegler EDCI 6304 Jeff Blackman

2. Who is he? Teresa Heinz Professor of Cognitive Psychology at Carnegie Mellon University Researches children’s thinking Over 200 articles Five books National Academy of Education (2010) Headed the Fractions Practice Guide Panel for the U.S. Department of Education (2009 – 2010) American Psychological Association's Distinguished Scientific Contribution Award (2005)

3. Background Born in Chicago (1949) Original interests: History and Economics University of Illinois Grad School and PhD at SUNY Stonybrook 1974 – Carnegie Mellon University (Assistant Professor)

4. Why you should care If you are a parent… If you are a teacher…

5. Siegler vs. Piaget

6. Overlapping Waves Model

7. Board Games!

8. What other board games? “Monopoly …requires a lot of mental addition.” “Versions of Dominos in which the attachment requires the displayed number of dots or that plus a multiple of 5 (e.g., if two dots are showing, the dot that attaches could have 2, 7, or 12) seems like another good choice.” --Bob Siegler

9. Questions?

10. Photo Credits Slide 1: Picture of Robert Siegler. From the Robert Siegler home page at http://www.psy.cmu.edu/~siegler/index.html http://www.psy.cmu.edu/~siegler/index.html Slide 4: Picture 1 from Developing effective fractions instruction for kindergarten through 8th grade: A practice guide - Retrieved from whatworks.ed.gov/publications/practiceguides Slide 4: Picture 2 – Microsoft Office Clipart Slide 5: Piaget - from http://www.tumblr.com/tagged/jean-piagethttp://www.tumblr.com/tagged/jean-piaget Slide 5: Siegler – from http://www.psy.cmu.edu/~siegler/AmPsychBio.pdfhttp://www.psy.cmu.edu/~siegler/AmPsychBio.pdf Slide 6: Overlapping Waves Model - from http://www.psy.cmu.edu/~siegler/AmerPsy05.pdfhttp://www.psy.cmu.edu/~siegler/AmerPsy05.pdf Slide 7: Number game - from http://www.psy.cmu.edu/~siegler/sieg-cdper09.pdfhttp://www.psy.cmu.edu/~siegler/sieg-cdper09.pdf Slide 7: Dominoes – from Microsoft Clipart Slide 8: Monopoly – from http://www.hasbro.com/monopoly/en_US/shop/details.cfm?R=8EE05CCF-6D40-1014- 8BF0-9EFBF894F9D4:en_UShttp://www.hasbro.com/monopoly/en_US/shop/details.cfm?R=8EE05CCF-6D40-1014- 8BF0-9EFBF894F9D4:en_US Slide 8: Chutes and Ladders – from http://www.hasbro.com/shop/details.cfm?R=8EC0A8E0-6D40-1014-8BF0- 9EFBF894F9D4:en_UShttp://www.hasbro.com/shop/details.cfm?R=8EC0A8E0-6D40-1014-8BF0- 9EFBF894F9D4:en_US

11. References Carnegie Mellon University (nd). Robert S. Siegler. Retrieved July 16, 2012, from http://www.psy.cmu.edu/~siegler/ Carnegie Mellon University, & Siegler, R. S. (2012, June 7). Early Knowledge of Fractions and Long Division Predicts Long-Term Math Success [Video file]. Retrieved from http://www.youtube.com/watch?v=7YSj0mmjwBM&feature=player_embedded Siegler, R. S. (2005). Autobiographical Sketch. American Psychologist, 60(8), 767-769. Siegler, R., Carpenter, T., Fennell, F., Geary, D., Lewis, J., Okamoto, Y., Thompson, L., & Wray, J. (2010). Developing effective fractions instruction for kindergarten through 8th grade: A practice guide (NCEE #2010-4039). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. Retrieved from whatworks.ed.gov/ publications/practiceguides. Siegler, R. S. (2005). Children's Learning. American Psychologist, 60, 769-778. Watson, Malcolm. "Theories of Human Development." The Great Courses. Chantilly, VA. 2002. MP3 Siegler, R. S.(2009). Improving the numerical understanding of children from low-income families. Child Development Perspectives, 3, 118-124. Siegler, Robert S. "Modern Learning Theories and Mathematics." STEM Summit. Irvine, CA. Feb. 2010. Web. 19 July 2012..