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…

It's often useful extending students beyond the limiting geometry of triangles and quadrilaterals to regularly consider generalizations of results for triangles and quadrilaterals to higher order polygons. A brief heuristic description is given here of the author applying this strategy, and which led to an interesting result related to the…

Genetics is a core topic in the biology curriculum of many countries. Learning genetics is difficult for multiple reasons, including the need to reason about complex mechanisms--and to link mechanisms--that occur at different time and space scales. Previous research in genetics education explores students' understandings of inheritance patterns or…

There has been a large amount of research about the impact of dynamic geometry software (DGS) on the learning of mathematics mainly related to different representations of mathematical concepts and functional dependences. This paper goes beyond these investigations by suggesting meaningful connection and integration of DGS with physical resources…

A more motivating way of introducing students to probability theory is through real-world problems. Since heuristics play an important role in our probabilistic judgement, knowing how to avoid incorrect probabilistic reasoning, which leads to several biases, could help students to develop more critical thinking skills. In this paper, we present a…

Community service education (CSE) in developing countries still remains under-represented in research. Addressing this gap, this article reports a study that investigated a CSE activity at a secondary school in Sri Lanka. The participants of this study comprised 10 English as a second language (ESL) teachers from four secondary schools, 68 Grade…

Across various forms of media, Muslims are often portrayed as a homogenous group prone to violence, yet scholars have increasingly called upon schools and teachers to transcend stereotypes and prepare students to understand Muslims in more thoughtful and nuanced ways. This qualitative case study recounts how students and a teacher in a high school…