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References
Bakker, A. (2003). The early history of average values and implications for education. Journal of Statistics Education, 11(1). Online: http://www.amstat.org/publications/jse/v11n1/bakker.html
Biehler, R (2001). Developing and assessing students’ reasoning in comparing statistical distributions in computer-supported statistics courses. In C. Reading (Ed.), Proceedings of the Second International Research Forum on Statistical Reasoning, Thinking, and Literacy (SRTL-2). Armidale, Australia: University of New England.
Ben-Zvi, D., & Arcavi, A. (2001). Junior high school students’ construction of global views of data and data representations. Educational Studies in Mathematics, 45(1), 35–65.
Cobb, P. (1999). Individual and collective mathematical development: The case of statistical data analysis. Mathematical Thinking and Learning, 1(1), 5–43.
Cobb, P., McClain, K., & Gravemeijer, K. P. E. (2003). Learning about statistical covariation. Cognition and Instruction 21(1), 1–78.
Cobb, P., & Whitenack, J. W. (1996). A method for conducting longitudinal analyses of classroom videorecordings and transcripts. Educational Studies in Mathematics, 30(3), 213–228.
de Lange, J., Burrill, G., Romberg, T., & van Reeuwijk, M. (1993). Learning and testing mathematics in context: The case—data visualization. Madison, WI: University of Wisconsin, National Center for Research in Mathematical Sciences Education.
Edelson, D. C. (2002). Design research: What we learn when we engage in design. Journal of the Learning Sciences, 11(1), 105–121.
Freudenthal, H. (1991). Revisiting mathematics education: China lectures. Dordrecht, The Netherlands: Kluwer Academic Publishers.
Friel, S. N., Curcio, F. R., & Bright, G. W. (2001). Making sense of graphs: Critical factors influencing comprehension and instructional implications. Journal for Research in Mathematics Education, 32(2), 124–158.
Gravemeijer, K. P. E. (1994). Developing realistic mathematics education. Utrecht, The Netherlands: CD Bèta Press.
Hancock, C., Kaput, J. J., & Goldsmith, L. T. (1992). Authentic enquiry with data: Critical barriers to classroom implementation. Educational Psychologist, 27(3), 337–364.
Konold, C., & Higgins, T. (2002). Highlights of related research. In S. J. Russell & D. Schifter & V. Bastable (Eds.), Developing mathematical ideas: Working with data (pp. 165–201). Parsippany, NJ: Seymour.
Konold, C., Robinson, A., Khalil, K., Pollatsek, A., Well, A. D., & Wing, R., et al. (2002). Students’ use of modal clumps to summarize data. In B. Phillips (Ed.), Developing a Statistically Literate Society: Proceedings of the International Conference on Teaching Statistics [CD-ROM], Cape Town, South Africa, July 7–12, 2002.
Lemke, J. L. (2003). Mathematics in the middle: Measure, picture, gesture, sign, and word. In M. Anderson, A. Sáenz-Ludlow, S. Zellweger, & V. V. Cifarelli (Eds.), Educational perspectives on mathematics as semiosis: From thinking to interpreting to knowing (pp. 215–234). Ottawa, Ontario: Legas Publishing.
Meira, L. (1995). Microevolution of mathematical representations in children’s activity. Cognition and Instruction, 13(2), 269–313.
Mokros, J., & Russell, S. J. (1995). Children’s concepts of average and representativeness. Journal for Research in Mathematics Education, 26(1), 20–39.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.
Petrosino, A. J., Lehrer, R., & Schauble, L. (2003). Structuring error and experimental variation as distribution in the fourth grade. Mathematical Thinking and Learning, 5(2&3), 131–156.
Sfard, A. (2000). Steering (dis)course between metaphors and rigor: Using focal analysis to investigate an emergence of mathematical objects. Journal for Research in Mathematics Education, 31(3), 296–327.
Steinbring, H. (1997). Epistemological investigation of classroom interaction in elementary mathematics teaching. Educational Studies in Mathematics, 32(1), 49–92.
Strauss, A. & Corbin, J. (1998). Basics of qualitative research: Techniques and procedures for developing grounded theory. Thousand Oaks, CA: Sage.
Wilkinson, L. (1999). Dot plots. American Statistician, 53(3), 276–281.
Zawojewski, J. S., & Shaughnessy, J. M. (2000). Mean and median: Are they really so easy? Mathematics Teaching in the Middle School, 5(7), 436–440.
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Bakker, A., Gravemeijer, K.P.E. (2004). Learning to Reason About Distribution. In: Ben-Zvi, D., Garfield, J. (eds) The Challenge of Developing Statistical Literacy, Reasoning and Thinking. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2278-6_7
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DOI: https://doi.org/10.1007/1-4020-2278-6_7
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