Introduction: Psycholinguistics presents a challenge to teaching and learning because of the many abstract models in the field. Language-related games provide a vehicle for students to ground and demonstrate their understanding of these models. Statement of the problem: Models in psycholinguistics are challenging to teach and learn because they…

In this article, we discuss the process of understanding continuity, which is one of the most fundamental concepts in mathematics. The continuity of mathematical functions is formally defined in terms of abstract symbols and operations. This representation of continuity is very abstract or dis-embodied. Therefore, it is difficult to acquire a…

This Family and Practitioner Brief discusses how deaf children who have not had access to a complete language from birth often encounter unique challenges in developing academic language skills, particularly in the realm of inference-making.

Point-set topology is among the most abstract branches of mathematics in that it lacks tangible notions of distance, length, magnitude, order, and size. There is no shape, no geometry, no algebra, and no direction. Everything we are used to visualizing is gone. In the teaching and learning of mathematics, this can present a conundrum. Yet, this…

The authors outline some of the ways in which they teach student teachers to think about the challenges of abstract concepts in science. They ask the student teachers to think about abstract ideas in a non-science context first, and find they are enabled to discuss and engage (and then later apply) their thinking better. The authors think that…

Mark Creager noticed that how we teach students to reason mathematically may be counter-productive to our teaching goals. Sometimes a linear approach, focusing on sub-processes leading to a proof works well. But not always. Students should be made aware that reasoning is not always a straight forward process, but one filled with false starts and…

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…

Since formal mathematics is discussed in terms of abstract symbols, many students face difficulties to acquire a clear understanding of mathematical concepts and ideas. Transforming abstract or dis-embodied representations of mathematical concepts and ideas into embodied representations is a strategy to make mathematics more tangible and…

Popular accounts of exciting discoveries often draw students to physics and astronomy, but at the introductory level it is challenging to connect with these in a meaningful way. The use of real astronomical data in the classroom can help bridge this gap and build valuable quantitative and scientific reasoning skills. This paper presents a strategy…

When we "think like a computer scientist," we are able to systematically solve problems in different fields, create software applications that support various needs, and design artefacts that model complex systems. Abstraction is a soft skill embedded in all those endeavours, being a main cornerstone of computational thinking. Our…

Describing the processes of metaphor comprehension has been a hot topic of discussion among researchers throughout the past four decades. One of the major challenges has been to find a mechanism that can describe the processes involved in the comprehension of various kinds of metaphors. This article suggests that different types of metaphors could…

To promote learning and transfer of abstract ideas, contemporary theories advocate that teachers and learners make explicit connections between concrete representations and the abstract ideas they are intended to represent. "Concreteness fading" is a theory of instruction that offers a solution for making these connections. As originally…

"Drawing Conclusions" explores the use of juxtaposed visual representations (JVRs) to help preservice teachers grapple with abstract concepts, theories, or complex controversies in education. Acting as both a learning tool and an intellectual spark, JVRs are two simple contrasted sketches that students produce on a divided sheet of…

Teachers readily welcome instructional materials that situate mathematics in the real world because they provide the relevance of mathematics to students who genuinely seek the answer to the question, "When are we ever going to use math in real life?" Although using the real world as a motivational hook is often effective for engagement,…

This is a position paper in the field of Engineering Education, which is at the very beginning in Europe. It relates challenges in the new field to the emerging technology of (Computer) Theorem Proving (TP). Experience shows, that "teaching" abstract models, for instance the wave equation in mechanical engineering and in electrical…