10th International
Conference on
Teaching Statistics
8 – 13 July 2018
Kyoto, Japan
Contributed paper list

Contributed Paper C268


From sample to population: A hypothetical learning trajectory for informal statistical inference


Marianne van Dijke-Droogers (The Netherlands)
Paul Drijvers (The Netherlands)
Arthur Bakker (The Netherlands)


Marianne van Dijke-Droogers (The Netherlands)


This paper presents the results of a teaching experiment to enhance 9th-grade students’ understanding of informal statistical inference (ISI). The teaching experiment was conducted to evaluate and revise a hypothetical learning trajectory (HLT) as a step towards an emperically and theoretically based HLT-design for ISI. The challenge was to invite young students, inexperienced with sampling, to make inferences without using formal procedures. In this trajectory, the students proceeded from an introduction to samples, through an understanding of sampling variation and resampling, to reasoning with sampling distribution. The results of the intervention suggest that young students are able to interpret samples with corresponding uncertainty. Concrete sampling, the use of simulations and deepening whole-class discussions seem essential parts of this HLT design.