As it is already observed by mathematicians and educators, there is a discrepancy between the formal techniques of mathematical logic and the informal techniques of mathematics in regards to proof. We examine some of the reasons behind this discrepancy and to what degree it affects doing, teaching and learning mathematics in college. We also…

Research in developmental psychology has shown that deeply-rooted, intuitive ways of thinking, such as design teleology and psychological essentialism, impact children's scientific explanations about natural phenomena. Similarly, biology education researchers have found that students often hold inaccurate conceptions about natural phenomena, which…

In 2012 the New Zealand Government identified as a priority the need to address the undersupply of students studying STEM subjects for delivering its Business Growth Agenda. Low engagement and retention rates in STEM subjects contribute to the shortage of STEM graduates, producing a negative impact on the New Zealand economy. This Teaching and…

One crucial characteristic of scientifically literate individuals is making informed decisions in socioscientific issues (SSI). Participants' reasoning patterns and their risk perceptions shape their decisions. Thus, determining participants' informal reasoning patterns along with their risk perceptions while making decisions in SSI becomes…

In this article we study the conceptions of an American and a French group of undergraduate pre-service teachers regarding the concept of independent events. Specifically, we study the role that intuition plays in their answers, ascertain the presence of probabilistic biases, and compare the findings with previous results collected on a different…

Students' learning activities frequently compete with their leisure options, leading to regret after decisions to study. Using a sample of 233 German and 194 Australian undergraduate students, the authors explored possible determinants of the personality construct regret. They investigated whether the level to which students rely on intuition in…

I report on what teachers in an Advanced Certificate in Education (ACE) inservice programme learned about probabilistic reasoning in relation to teaching it. I worked "on the inside" using my practice as a site for studying teaching and learning. The teachers were from three different towns in the Northern Cape province and had limited…