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…

The purpose of this research is to examine the meanings that primary school mathematics teachers attribute to the concept of "game" by using metaphorical expressions. In this study, phenomenology design, one of the qualitative research methods, was used to examine the metaphorical perceptions of primary school mathematics teachers about…

The metaphors used by teachers to explain the nature of student learning and student difficulty can reveal a great deal about how teachers conceive the teaching and learning process. This is an important area of research as it can shed light on how they see their role in the learning process and how they should intervene to assist students 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…

This study explored online mentoring dialogues of first-year science teachers (FYSTs) to construct a model that was informed by metaphors in teaching dilemmas. Nine teachers' yearlong threaded dialogues were archived and first analyzed by Windschitl's (2002) four dilemma categories, and later by Lakoff and Johnson's (2003) conceptual metaphor…

To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…

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…

In Sri Lankan advanced level mathematics curriculum, teachers are required only to provide the intuitive idea of the concept of limit. The purpose of this study is to explore the strategies used by mathematics teachers to achieve this. Twelve in-service secondary mathematics teachers working in government and private schools participated in the…

Chemistry as a discipline in general incorporates abstract concepts, which should be visualized through experiment- and application-oriented methods. It is a well-known fact in Turkey that chemistry class offered by simple and traditional methods cannot be understood by students at a satisfactory level. Such chemical subjects as atoms, molecules,…

Abstract concepts dominate university science teaching, and much of this content is taught without sufficient connection to students' prior knowledge or everyday experiences. As this can be problematic for students, the aim of this research was to determine the utility and effectiveness of a professional development module on using analogies to…

The use of visual metaphors has received growing attention in recent years, but their widespread use is not without certain challenges. The most common critique of visual metaphors in teaching indicates that they can be misleading as the meaning attributed by the recipient can be far apart from the intended one. This can make learning less…

This article presents a case study on a secondary mathematics teacher, Mary (pseudonym), and her design of a set of instructional tasks in the context of proportional reasoning. In keeping with the way Singapore teachers generally conceive of instructional planning, we investigated the connections between four comparison tasks she designed through…

A tension has been identified between the acquisition and participation metaphors for learning, and it is generally agreed that this tension has still not been adequately resolved. In this paper, we offer an alternative to the acquisition and participation metaphors for learning: the metaphor of mastering. Our claim is that the mastering metaphor,…

"Where Mathematics Comes From" (Lakoff & Núñez 2000) proposed that mathematical concepts such as arithmetic and counting are constructed cognitively from embodied metaphors of actions on physical objects, and four actions, or 'grounding metaphors' in particular: collecting, stepping, constructing and measuring. This article argues…