Understanding randomness: Challenges for research and teaching

C Batanero - CERME 9-ninth congress of the European Society for …, 2015 - hal.science
The ubiquity of randomness and the consequent need to understand random phenomena in
order to make adequate decisions led many countries to include probability throughout the …

Developing a questionnaire to assess the probability content knowledge of prospective primary school teachers

E Gómez-Torres, C Batanero, C Díaz… - Statistics Education …, 2016 - iase-web.org
In this paper we describe the development of a questionnaire designed to assess the
probability content knowledge of prospective primary school teachers. Three components of …

The fallacy of composition: Prospective mathematics teachers' use of logical fallacies

EJ Chernoff, GL Russell - Canadian Journal of Science, Mathematics and …, 2012 - Springer
The purpose of this article is to address the lack of research on teachers' knowledge of
probability. As has been the case in prior research, we asked prospective mathematics …

On painter's paradox: Contextual and mathematical approaches to infinity

C Wijeratne, R Zazkis - International Journal of Research in …, 2015 - Springer
In mathematics education research paradoxes of infinity have been used in the investigation
of students' conceptions of infinity. We analyze one such paradox–the Painter's Paradox …

Recognizing revisitation of the representativeness heuristic: an analysis of answer key attributes

EJ Chernoff - ZDM, 2012 - Springer
The general objective of this article is to contribute to the limited research on teachers'
probabilistic knowledge. More specifically, this article aims to contribute to an established …

An investigation of the representativeness heuristic: The case of a multiple choice exam

EJ Chernoff, A Mamolo, R Zazkis - Eurasia Journal of Mathematics …, 2016 - ejmste.com
By focusing on a particular alteration of the comparative likelihood task, this study
contributes to research on teachers' understanding of probability. Our novel task presented …

Exploring conceptions of infinity via super-tasks: A case of Thomson's Lamp and Green Alien

C Wijeratne, R Zazkis - The Journal of Mathematical Behavior, 2016 - Elsevier
In mathematics education research paradoxes of infinity have been used in the investigation
of conceptions of infinity of different populations, including elementary school students and …

Assessment of elementary mathematics teachers' probability content knowledge in terms of different meanings of probability

G Kurt, O Coşkuntuncel - Turkish Journal of Computer and …, 2020 - dergipark.org.tr
Although the international interest in teaching probability has allowed probability to be
treated as a separate learning area in Turkey, its intensity has been reduced and mitigated …

Unasked but answered: Comparing the relative probabilities of coin flip sequence attributes

EJ Chernoff, A Mamolo - Canadian Journal of Science, Mathematics and …, 2015 - Springer
The objective of this article is to contribute to research on teachers' probabilistic knowledge
and reasoning. To meet this objective, prospective mathematics teachers were presented …

Contextual considerations in probabilistic situations: An aid or a hindrance?

A Mamolo, R Zazkis - Probabilistic thinking: Presenting plural perspectives, 2014 - Springer
We examine the responses of secondary school teachers to a probability task with an infinite
sample space. Specifically, the participants were asked to comment on a potential …