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…

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…

Connection-making among multiple representations is a crucial but difficult competence in STEM learning. Prior research has focused on one type of learning process involved in connection-making: sense-making processes leading to conceptual understanding of connections. Yet, other research suggests that a second type of learning process is…

Connection-making among multiple representations is a crucial but difficult competence in STEM learning. Prior research has focused on one type of learning process involved in connection-making: sense-making processes leading to conceptual understanding of connections. Yet, other research suggests that a second type of learning process is…