Analogical reasoning is a core facet of higher cognition in humans. Creating analogies as we navigate the environment helps us learn. Analogies involve reframing novel encounters using knowledge of familiar, relationally similar contexts stored in memory. When an analogy links a novel encounter with a familiar context, it can aid in problem…

This research aims to determine the metaphorical perceptions of gifted and normally developing students attending primary education regarding solving mathematical problems. In the research, the qualitative research method was employed. In the 2022-2023 academic year, 206 students studying at the primary school level in Turkey were determined…

Isomorphism and homomorphism appear throughout abstract algebra, yet how algebraists characterize these concepts, especially homomorphism, remains understudied. Based on interviews with nine research-active mathematicians, we highlight new sameness-based conceptual metaphors and three new clusters of metaphors: sameness/formal definition, changing…

A growing body of research has examined the experiential grounding of scientific thought and the role of experiential intuitive knowledge in science learning. Meanwhile, research in cognitive linguistics has identified many "conceptual metaphors" (CMs), metaphorical mappings between abstract concepts and experiential source domains,…

This submission contains the Proceedings of the 2008 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Universite de Sherbrooke in Sherbrooke, Quebec. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…

The world is in a constant state of flux and as a consequence, definitions and perceptions of the word "intellectual" are subject to change. This paper undertakes a succinct historical review regarding this notion by considering two paradigms, which are called here the "Lake Paradigm" and the "Well Paradigm". It is argued that these two paradigms…