Contributed Paper C268
Repeated Sampling as a step toward Informal Statistical Inference
AuthorsMarianne van Dijke-Droogers (Utrecht University, The Netherlands)
Paul Drijvers (Utrecht University, The Netherlands)
Arthur Bakker (Utrecht University, The Netherlands)
PresenterMarianne van Dijke-Droogers (The Netherlands)
Recent literature suggests that secondary school students should learn about informal statistical inference (ISI) as preparation for formal statistical inference. Not enough is known, however, how to realize this. The design study reported here aimed to develop a theoretically and empirically grounded learning trajectory (LT) with ISI as its learning goal for 9th-grade students. The LT focused on sampling, the frequency distribution of results from repeated samples and sampling distribution. The current paper reports on the part of the LT on using the frequency distribution of repeated samples as tested with twenty 14-year-olds. The results showed that these students could imagine and sketch the frequency distribution of repeated samples, which indicates a step forward in their understanding of variation and uncertainty in drawing informal statistical inferences.