This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this…

This work reports the results of an investigation that aimed to know the informal reasoning of high school students with and about the frequency approach of probability and the law of large numbers when they were faced with a problem about random intervals. The research question was as follows: What features of students' reasoning about the…

This paper examines coin-toss comparison questions from two recent studies involving undergraduate students and high school teachers and connects to findings from two prior studies in the literature. Considering possible sample spaces employed by participants, this is a reflection on whether one sequence could be more likely depending on the…

A computer science camp for pre-collegiate students was operated during the summers of 2022 and 2023. The effect the camp had on attitudes was quantitatively assessed using a survey instrument. However, enrollment at the summer camp was small, which meant the well-known Pearson's Chi-Squared to measure the significance of results was not applied.…

In the United States high school students may take college level courses that count for credit in both high school and college, often called dual enrollment. Students may take courses at their high school from certified instructors or at a local college. We investigate possible differences between these two groups of students using student level…

This study aims to determine students learning obstacles in probability material based on their probabilistic thinking (PT) level using the theory of didactical situation (TDS) perspective. This is qualitative research with the case study method. The subject consisted of 23 grade 9 students in junior high school who had studied the material and…

Multiple representations can enhance students' understanding of mathematical concepts and complex information but can also pose well-documented challenges for students. Whereas instructional designs have been optimized to support students' "learning" with multiple representations, little is known about supportive "teaching"…

This article deals with an introduction of probability at school through sensory modalities. This approach is based on sampling fluctuation with empirical observations of frequencies. Initially, we analyze how students from high school work on such a task by using dice, pencil, and paper. We then identify the use of schemas and data visualization…

Multiple factors influence a student's success in high school graduation. Individual factors such as disability, racial or ethnic identity, and gender may result in inequity in the school environment, interfering with learning and possibly leading to poorer educational outcomes. This secondary analysis of student educational records (N = 3,782)…

The purpose of this study was twofold. First, to explore middle and high school students' intuitively-based (mis)conceptions in probability, particularly availability and representativeness heuristics. Second, to investigate teachers' awareness of these intuitively-based (mis)conceptions and the effectiveness of their instructional practices to…

Youth who are lesbian, gay, bisexual, and who identify with other sexual orientations (LGB +) are at higher risk for illicit drug use and have higher rates of mental illness. The current study examined the prevalence of illicit drug use among LGB+ persons and assessed the moderating effect of mental illness. Cross-sectional data from the 2015,…

Bullying is a problem that affects children and teenagers around the world and its repercussions can endure throughout adult life. The main objective of this research is to study the incidence of bullying on the academic performance of students in schools in the Madrid Region. The databases used are those of Competency Tests, a census evaluation…

This paper studies the effect of school closures on student outcomes in the Lithuanian context. Using administrative student-level data from 2013-2017 and propensity score matching, we create a balanced sample of control and treatment groups. In contrast to other studies, we focus on students in the final years of high school, possibly eliciting…

This study aimed to determine the influence of critical thinking skills on misconceptions using a five-tier instrument in mixed-method research. The sampling technique used is simple random sampling. The data collection instrument used a critical thinking skills questionnaire, a misconception test of electric field material, and interviews. Data…

Career and technical education (CTE) incorporates occupational skills, workforce readiness skills, and credentials that make high school graduates better prepared for the workforce. Students who complete CTE programs of study have higher employment rates after high school graduation and often go on to postsecondary education. For those who do not…