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RESEARCH PAPER
Prospective secondary school teachers’ knowledge of sampling distribution properties
1
Department of Mathematics, University of Zaragoza, Zaragoza, SPAIN
2
Research Group FQM126, University of Granada, Granada, SPAIN
3
Department of Mathematics Education, University of Granada, Granada, SPAIN
Online publication date: 2023-04-06
Publication date: 2023-05-01
EURASIA J. Math., Sci Tech. Ed 2023;19(5):em2265
KEYWORDS
ABSTRACT
The aim of the work was to assess prospective Spanish secondary school mathematics teachers’
knowledge of sampling representativeness and variability. To achieve this goal, a questionnaire
with four items taken from our previous research with secondary education and high school
students was proposed to 66 prospective teachers. In each item, participants were asked to
provide four values of a binomial distribution, varying the parameters of the distribution in each
item. The analysis of the mean and range of the sample of four values provided by the participants,
and its comparison with the theoretically normative and acceptable values of the sampling
distribution suggests a good knowledge of the sample representativeness, except for one item
and an overestimation of the variability for large values of the number of trials in the binomial
distribution. The study of the participants’ arguments serves to identify some reasoning biases
related to sampling distribution. The results are better than those obtained with students in our
previous studies.
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