Research on statistical education in childhood is recent in Brazil. The research has been mainly driven by curriculum reforms and the creation of research groups that investigate teaching, learning, and teacher education practices. The present paper emerges from this scenario and has the aim of investigating practices of creative insubordination…

The modifier effect refers to the fact that the perceived likelihood of a property in a noun category is diminished if the noun is modified. For example, "Pigs live on farms" is rated as more likely than "Dirty pigs live on farms." The modifier effect has been demonstrated in many studies, but the underlying cognitive…

In analyzing data from attitude surveys, it is common to consider the "don't know" responses as missing values. In this article, we present a statistical model commonly used for the analysis of responses/evaluations expressed on Likert scales and extended to take into account the presence of don't know responses. The main objective is to…

This study draws on the understanding that when the correlation between variables is not known yet the non-linear expectation in the correlation between the variables is present, non-linear measurement tools can be used. In education, possibility measurement tools can be used for non-linear measurement. Multiple-choice possibility measurement…

In this research, quotient strategies and their influence on decision-making in situations that involve the comparison of probabilities are analyzed. In order to achieve this, classical probability situations modeled with urns were designed. In each situation, two urns with simple extraction, involving or not proportional relationships, were…

While much of the debate over the growth of charter schools center on the student academic performance of charter schools as well as the financial impact that they have on school budgets, there is a growing concern that charter schools use harsh discipline to nudge certain students out. The concern is that charter schools use excessive discipline…

This study develops a theoretical model for the costs of an exam as a function of its duration. Two kind of costs are distinguished: (1) the costs of measurement errors and (2) the costs of the measurement. Both costs are expressed in time of the student. Based on a classical test theory model, enriched with assumptions on the context, the costs…

Educational assessment tests are designed to measure the same psychological constructs over extended periods. This feature is important considering that test results are often used for admittance to university programs. To ensure fair assessments, especially for those whose results weigh heavily in selection decisions, it is necessary to collect…

Proportional reasoning failures seem to constitute most errors in probabilistic reasoning, yet there is little empirical evidence about its role for attaining probabilistic knowledge and how to effectively intervene with students who have less proportional reasoning skills. We examined the contributions of students' proportional reasoning skill…

Chaotic phenomena are not part of standard curricula, although this subject offers several interesting aspects which can help students better understand basic features of science. A central observation is that even simple physical systems, if chaotic, are unpredictable, just like the weather. We present the principles applied when developing a…

We developed and tested strategies for using spatial representations to help students understand core probability concepts, including the multiplication rule for computing a joint probability from a marginal and conditional probability, interpreting an odds value as the ratio of two probabilities, and Bayesian inference. The general goal of these…

Access to high-quality education at scale is limited by the difficulty of providing student feedback on open-ended assignments in structured domains like programming, graphics, and short response questions. This problem has proven to be exceptionally difficult: for humans, it requires large amounts of manual work, and for computers, until…

"Probability" and "statistical literacy" is an important aspect of the school curriculum in many countries. In this study, we report on findings from a larger study that engaged pre-service teachers as key stakeholders in research in exploring teaching probability and statistics using a game-based teaching approach. The current…

Probability requires teaching approaches that allow children to predict, observe and experiment with concreate materials, games and simulations. In this study, we explored one teacher's beliefs and practices of teaching probability using game-based approaches. We employed a design-based research approach to explore how our case study teacher…

As college tuition rises nationwide, policy efforts to reduce these costs are increasingly focused at the 2-year level. However, it is not fully known whether increased access to college increases degree attainment. Compared to observationally equivalent peers who enroll in 4-year institutions, 2-year enrollees may face a decreased likelihood of…