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tandfonline.com – Interpretations of Boxplots: Helping Middle School Students to Think Outside the Box

Posted on by Troels Gannerup Christensen - Læst 32 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT Formulae display:?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. ABSTRACT Boxplots are statistical representations for organizing and displaying data that are relatively easy to create with a five-number summary. However, boxplots are not as easy to understand, interpret, or connect with other statistical representations of the same data. We worked at two different schools with 259 middle school students who constructed and interpreted boxplots. We observed that even students who were able to create boxplots had difficulty interpreting data represented in a boxplot. After sharing specific difficulties that… Continue Reading →

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tandfonline.com – Repeated sampling with a black box to make informal statistical inference accessible

Posted on by Troels Gannerup Christensen - Læst 17 gange

tandfonline.com har udgivet en rapport under søgningen “Teacher Education Mathematics”: ABSTRACT ABSTRACT While various studies suggest that informal statistical inference (ISI) can be developed by young students, more research is needed to translate this claim into a well-founded learning trajectory (LT). As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation, and evaluation of the first part of an LT for ISI, in which ninth-grade students (N = 20) are introduced to the key concepts of sample, frequency distribution, and simulated sampling distribution. The results show that an LT starting from repeated sampling with a black box may support the accessibility of these concepts, as these students were able to make inferences with the frequency distribution from repeated samples as… Continue Reading →