This paper is from Session 2E: Using technology at school level to enhance statistical understanding

which comes under Topic 2: Statistics education at school level

Constructing, refining and validating a task for developing reasoning on stabilized frequency distributions in the context of informal inferences

Presenter

• Ana Serradó-Bayés (La Salle-Buen Consejo, Spain)

Abstract

In this paper we present the construction, refining and validation of a task to reason about sampling and stabilized relative frequencies distribution to be included in a possible learning trajectory in Secondary School that facilitates the link between Informal and Formal Inference. The task consists of an informal modeling process of the relative frequency of appearance of each vowel in strings of characters, with a pseudo-concrete model developed through a statistical process of investigation, statistical modeling and validation through the analysis of animations. Animations of the relative frequency distributions when varying the sample size were created using the dynamic open-source software, Geogebra, and were incorporated in an online quiz, constructed within the virtual learning environment, Moodle. The task, its learning goals and assessment activities were validated with n=49 Spanish students of Grade 9 in order to draw conclusions about the conjectured learning process.