Financial literacy is crucial for making sound financial decisions and living a better life. However, the field of finance is full of abstract concepts, such as inflation, liquidity, asset allocation and credit. Abstract concepts may be harder to comprehend than concrete concepts due to their lack of tangible referents in the physical world. In…

Teaching with analogies is an important pedagogy that helps learners construct abstract conceptions through reasoning with something familiar. Heat concepts were chosen for this study because they have an intangible nature and involve complex mechanisms that often challenge school-aged learners. Learning this kind of complex concept with analogies…

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…

Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…

Analogies have many advantages for students such as concretizing abstract concepts and enabling motivation. Analogies are frequently used in textbooks. Research shows that the analogies in textbooks are not used based on certain directives and sometimes lead to misconceptions for students. Therefore, analysing the analogies in textbooks on several…

Learners of English as a foreign language often find it difficult to understand figurative speech, which relies heavily on metaphor. This article explores why metaphors challenge learners and presents ways to incorporate metaphors into EFL instruction to help learners understand figurative speech. Topics discussed include cognitive metaphor,…

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,…

One of the characteristics of the well-documented bifurcation in collegiate foreign language (FL) instruction is the difficult transition from lower- to upper-level instruction. Particularly pronounced are the expectations placed on readers at the upper level. No longer engaged in surface readings and sentence-level exercises that stay focused on…

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…