An Integrated Knowledge Framework to Characterize and Scaffold Size and Scale Cognition (FS2C)

References

• American Association for the Advancement of Science. (2006). Project 2061. Retrieved September 5, 2006, from http://www.project2061.org/publications/bsl/online/bolintro.htm
   Google Scholar
• American Association for the Advancement of Science. (2009). Benchmarks on-line. Retrieved from http://www.project2061.org/publications/bsl/online/index.php
   Google Scholar
• American Association for the Advancement of Science. (2012). Atlas of science literacy: Project 2061. Retrieved September 10, 2012, from www.project2061.org/publications/atlas/default.htm.
   Google Scholar
• Arrison, S. (2006). Nanotechnology needs nano-scale regulation: Tech News World. Retrieved September 4, 2006, from http://www.technewsworld.com/story/48272.html
   Google Scholar
• Ben-Zvi , R. , Eylon , B. S. and Silberstein , J. 1986 . Revision of course materials on the basis of research on conceptual diffculties . Studies in Educational Evaluation , 12 : 213 – 223 .
   Google Scholar
• Campbell , J. I. 2005 . Handbook of mathematical cognition , New York : Psychology press .
   Google Scholar
• Corcoran , T. , Mosher , F. A. and Rogat , A. 2009 . Learning progressions in science: An evidence-based approach to reform , New York, NY : Consortium for Policy Research Education, Teachers College – Columbia University .
   Google Scholar
• Delgado, C., Stevens, S., Shin, N., Yunker, M., & Krajcik, J. (2007). The development of students’ conceptions of size. Paper presented at the Annual Conference of the National Association for Research in Science Teaching (NARST), New Orleans, LA.
   Google Scholar
• Duncan , R. G. and Hmelo-Silver , C. E. 2009 . Learning progressions: Aligning curriculum, instruction, and assessment . Journal of Research in Science Teaching , 46 ( 6 ) : 606 – 609 .
   Web of Science ®Google Scholar
• Duncan , R. G. , Rogat , A. D. and Yarden , A. 2009 . A learning progression for deepening students’ understandings of modern genetics across the 5th–10th grades . Journal of Research in Science Teaching , 46 ( 6 ) : 655 – 674 .
   Web of Science ®Google Scholar
• Duschl, R., Schweingruber, H., & Shouse, A. (2007). Taking science to school: Learning and teaching science in grades K-8. Retrieved September 22, 2008, from http://www.csgeast.org/pdfs/takingscience.pdf
   Google Scholar
• Edu.Inc. (2003). Evaluating museum visitors’ readiness for and interest in learning new science. Retrieved May 8, 2005, from http://www.nanozone.org/museum.htm
   Google Scholar
• Edu.Inc. (2004). It's a nano world. A study of use. Findings from a summative study. Retrieved May 10, 2006, from http://eduinc.org/
   Google Scholar
• Edu.Inc. (2005). Promoting public awareness of research in nanotechnology through informal science education in a science museum exhibition. Retrieved May 8, 2005, from http://www.nanozone.org/museum.htm
   Google Scholar
• Gagné , R. 1987 . Instructional technology: Foundations , Hillsdale , NJ : Lawrence Erlbaum Associates .
   Google Scholar
• Holladay, C. (2005). A year in review: Internship in nanotechnology museum exhibit design. Retrieved May 12, 2006, from http://www.mrsec.wisc.edu/Edetc/IPSE$\_$exhibits/about/share.html
   Google Scholar
• Horstemeyer, M.F. (2010). Multiscale modeling: A review. In J. Leszczynski & M.K. Shukla (Eds.), Practical aspects of computational chemistry (pp. 87–135). London: John Wiley & Sons.
   Google Scholar
• Inhelder , B. and Piaget , J. 1958 . The growth of logical thinking , New York : Basic Books .
   Google Scholar
• Jones , M. , Andre , T. , Kubasko , D. , Bokinsky , A. , Tretter , T. , Negishi , A. and … Superfine , R. 2003 . Remote atomic force microscopy of microscopic organisms: Technological innovations for hands-on science with middle and high school students . Science Education , 88 ( 1 ) : 55 – 71 .
   Web of Science ®Google Scholar
• Jones , M. , Taylor , A. , Minogue , J. , Broadwell , B. , Wiebe , E. and Carter , G. 2007 . Understanding scale: Powers of ten . Journal of Science Education and Technology , 16 ( 2 ) : 191 – 202 .
   Google Scholar
• Krajcik , J. S. 1991 . “ Developing students’ understanding of chemical concepts ” . In The psychology of learning science , Edited by: Glynn , S. M. , Yeany , R. H. and Britton , B. K. 117 – 147 . Hillsdale , NJ : Erlbaum .
   Google Scholar
• Lesh , R. , Post , T. and Behr , M. 1988 . “ Proportional reasoning ” . In Number concepts and operations in the middle grades , Edited by: Hiebert , J. and Behr , M. 93 – 118 . Reston , VA : NCTM, Lawrence Erlbaum Associates .
   Google Scholar
• Magana, A.J., Brophy, S., & Newby, T. (2008). Scaffolding students' conceptions of proportional size and scale cognition with analogies and metaphors. Proceedings of the American Society of Engineering Education annual conference, Pittsburgh, PA.
   Google Scholar
• Marsh , G. , Parkes , T. and Boulter , C. 2001 . Children's understanding of scale-the use of microscopes . School Science Review , 82 ( 301 ) : 27 – 31 .
   Google Scholar
• National Assessment of Scientific Progress. (2005). National and state science assessment results. Retrieved May 24, 2006, from http://nces.ed.gov/nationsreportcard/
   Google Scholar
• Nakhleh , M. , Samarapungavan , A. and Saglam , Y. 2005 . Middle school students’ beliefs about matter . Journal of Research in Science Teaching , 42 ( 5 ) : 581 – 612 .
   Web of Science ®Google Scholar
• Nichols, P.D. (2010). What is a learning progression? Test, Measurement & Research Services, (12), 1–2. Retrieved May 20, 2012, from http://www.pearsonassessments.com/NR/rdonlyres/6C8F4D6F-EFB1-47CE-9247-3712D274190F/0/Bulletin_12.pdf
   Google Scholar
• Roco , M. 2002 . Nanotechnology a frontier for engineering education . International Journal of Engineering Education , 18 ( 5 ) : 488 – 497 .
   Web of Science ®Google Scholar
• Rozeboom , W. 1966 . Scaling theory and the nature of measurement . Synthese , 16 ( 2 ) : 170 – 233 .
   Web of Science ®Google Scholar
• Sabelli, N., Schank, P., Rosenquist, A., Stanford, T., Cormia, R., & Hurst, K. (2005). Report of the workshop science and technology education at the nanoscale. SRI International. Retrieved August 8, 2006, from nanosense.org/documents/reports/NanoWorkshopReportDraft.pdf
   Google Scholar
• Smith , C. L. , Wiser , M. , Anderson , C. W. and Krajcik , J. 2006 . Implications of research on children's learning for standards and assessment: A proposed learning progression for matter and the atomic-molecular theory . Measurement: Interdisciplinary Research and Perspectives , 4 ( 1–2 ) : 1 – 98 .
   Google Scholar
• Stevens , S. , Delgado , C. and Krajcik , J. 2009 . Developing a hypothetical multi-dimensional learning progression for the nature of matter . Journal of Research in Science Teaching , 47 ( 6 ) : 687 – 715 .
   Web of Science ®Google Scholar
• Stevens , S. , Sutherland , L. and Krajcik , J. 2009 . Big ideas of nanoscale science and engineering: A guidebook for secondary teachers , Arlington, VA : NSTA Press .
   Google Scholar
• Taylor , A. and Jones , G. 2009 . Proportional reasoning ability and concepts of scale: Surface area to volume relationships in science . International Journal of Science Education , 31 ( 9 ) : 1231 – 1247 .
   Web of Science ®Google Scholar
• Tretter , T. , Jones , M. , Andre , T. , Negishi , A. and Minogue , J. 2006 . Conceptual boundaries and distances: Students’ and experts’ concepts of the scale of scientific phenomena . Journal of Research in Science Teaching , 43 ( 3 ) : 282 – 319 .
   Web of Science ®Google Scholar
• Waldron , A. M. , Spencer , D. and Batt , C. A. 2006 . The current state of public understanding of nanotechnology . Journal of Nanoparticle Research , 8 ( 5 ) : 569 – 575 .
   Web of Science ®Google Scholar
• Weinan , E. and Engquist , B. 2003 . Multiscale modeling and computation . Notices of the AMS , 50 ( 9 ) : 1062 – 1070 .
   Google Scholar