This study aims to analyse the reasoning that children and adults with the same school level use to assess and justify the fairness of games, considering aspects of probability such as randomness, sample space, and comparison of probabilities. Data collection included a Piagetian clinical interview based on games of chance. The results showed that…

When education initiatives set out to help those who have been "historically disadvantaged or historically marginalized," they perfectly describe students with disabilities. Yet too often, these students have been excluded from conversations about equity in education. Congress opened public school doors for millions of children with…

Literature has established that some learners encountered difficulties solving first order ordinary differential equations (ODEs). The use of error analysis in teaching ODEs is believed to make essential contribution towards calculus knowledge development. This paper therefore focuses on analyzing pre-service teachers' (PSTs) errors and…

Without a conceptual understanding of fraction magnitude, students have difficulties understanding more advanced mathematics in high school and beyond. The purpose of this study is to highlight 4th and 8th grade students' misconceptions in fraction magnitude using the Trends in International Mathematics and Science Study 2015 data. The study is…

This qualitative study investigates the perceptions of alternative school administrators in North Carolina about the impact of the Every Student Succeeds Act (ESSA) on them and their campuses. The study interviewed four alternative high school administrators with schools labeled as Comprehensive Support and Improvement (CSI) during the 2018-2019…

U.S. society perceived some Asian immigrants as a model minority, even assuming that Asian students would be good at mathematics. However, the narratives and experiences of Korean immigrant parents and their children were not discussed in these perspectives. The purpose of this study is to understand the interactions and reasoning of Korean…

In this article, we share findings from an analysis of Ontario Catholic school board policy documents (N = 179) containing Canada's newest human rights grounds: gender expression and gender identity. Our major finding may be unsurprising--that Ontario Catholic boards are generally not responding to Toby's Act (passed in 2012) at the level of…

Creativity is surrounded by a cluster of long-held beliefs--referred to here as "myths"--which regard it as confined to aesthetic/spiritual domains and as a divine gift to a tiny few, and thus render it ineluctable, ineffable and inscrutable. As a result, treating it as part of normal psychological functioning and emphasizing its…

Individuals with autism spectrum disorder (ASD) have difficulties with social interaction and communication. First-hand accounts written by individuals with ASD have shown the existence of other atypical characteristics such as difficulties with body awareness. However, few studies have examined whether such atypicalities are found more generally…

The present study aimed to evaluate the use of metaphors by preservice science teachers on the subject of genetically modified organisms (GMOs). In the study, a phenomenology method was employed in the scope of a qualitative research model. The study group was composed of 189 preservice teachers who were employed in various science fields (e.g.,…

Introduction: This paper presents the results of research focused on identification of preschool teachers' progress in relation to the use of children's preconceptions in formal pre-elementary education. It represents the theoretical concepts that are applied in the work with children's preconceptions in schools. It analyses them and creates a…

Mathematicians are often inimically portrayed in popular culture, resulting in an abundance of non-mathematical identities in the classroom. Various tropes are propagated by the media that dominate our mental schemas of what makes a mathematician: the eccentric Einstein-like old man; the young, tortured genius; and the "genetically…

In this paper we present a critical analysis of some of the arguments of flat Earth theory, and we also try to show that this analysis and refutation of these false claims can be a useful exercise in critical thinking that is so much needed today. This article can also make it easier for teachers who are exposed to some of the arguments of flat…

Proving is a process that has important roles in terms of learning and teaching in almost all the areas of mathematics. Because the process of proof constructions an extensive process that includes skills as mathematical thinking, reasoning and making connections. Reasoning is one of the most important components of this process. However, most…

Mathematics is full of mystery. We illuminate the myth to expose two conflicting senses of mystery at work in mathematics and its education practices. There is a sense of boundlessness with mathematics--the idea that we never fully know. There is also a practice of concealment, in which an answer or solution is known by special people who may…