Purpose: The purpose of this paper is to present a brief exposure to the development of the threshold concepts framework (TCF), the intention being to illuminate for interested readers a broader landscape of research activity than that perhaps conveyed by the individual contributions to this special edition. Design/Methodology/Approach: There is…

This paper discusses the results of a three-year mixed methods study into the effectiveness of a mathematics education unit. This was written for both pre-service primary education students and re-training in-service teachers, to prepare them for the teaching of pre-algebra and early algebra. The unit was taught rom 2013 to 2015 inclusively in a…

The most effective pedagogies are those that foster students' metacognition and their learning effectiveness. This paper presents a new model of activity-based learning in which students construct knowledge using practices that include constructs of engagement, motivation, and affect that drive deeper processing and higher levels of metacognitive…

During the last few decades, the author and his colleagues have developed an instructional framework for infusing thinking into content instruction in every subject and at every grade level. In thinking-based learning, teachers explicitly teach students thinking strategies and important habits of mind and then give students opportunities to apply…