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- W29049964 abstract "Abstract In this paper we analyze how concepts and symbolizations co-develop in the case ofstatistical data analysis. The focus is on the development of distribution, which rangesfrom a very concrete intuitive understanding to formal mathematical definitions.Examples from teaching experiments with 11 to 12 year-old students illustrate howtheir concept of distribution develops in relation to what the graphs they use and makemean for them. In particular we discuss an episode in which a student symbolizes datainto a so-called ‘bump’ and we give examples of how other students reason with this‘bump’ in connection to distribution. Introduction on Symbolizing Symbolizing as a field of research has been receiving more and more interest withinthe community of mathematics educators (Cobb et al. 2000). Our point of departure isthat the students’ way of symbolizing and what these symbolizations come to signifydevelop in a dialectical way. The learning-teaching process is organized in such a waythat the conceptual development benefits from the development and use of symbols,and vice versa. In teaching experiments on statistical data analysis we aimed for thegradual emergence of the multifaceted concept of distribution rather than a collectionof loosely related concepts and graphs. In this paper we analyze how symbolizationsand their meaning co-evolve in the case of distribution and graphs of data sets." @default.
- W29049964 created "2016-06-24" @default.
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- W29049964 date "2001-01-01" @default.
- W29049964 modified "2023-09-25" @default.
- W29049964 title "Symbolizing data into a 'bump'" @default.
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