Critical thinking is embedded in national university graduate outcomes and included in international bodies' statements on higher education. At the same time, there are tensions surrounding critical thinking in higher education, such as its commodification, Eurocentrism, and relationship to rapidly digitalising cultures. Drawing from the…

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…

The relevance of this article is due to the need to form and develop algorithmic thinking of higher education students as the main requirement of the information society following 21st century skills and competences for new millennium learners. The purpose of the article is to consider algorithmic thinking as a new dimension of learning in higher…

Fractional distillation is part of the essential experimental techniques taught to first-year chemistry students, especially during practical organic chemistry work. The characterization of the distillate generally involves measuring the boiling temperature, the refractive index, or the infrared spectrum. In this paper, an unknown mixture composed…

Design review sessions are commonly used in real-world design. Design review sessions are also common in undergraduate engineering education to help reveal students' decision-making processes necessary for informed design (Adams and Siddiqui 2016). Through design reviews, educators examine student reasoning, progress, and provide feedback as…

This article examines the mathematics learning experiences in proportional reasoning I created for pre-service teachers in my teacher education course in Canada. The approach aimed to enable pre-service teachers to work on and with their prior mathematics understandings, make connections that were particular to what emerged during group work, and…

Introductory programming courses (CS1) are difficult for novices. Inspired by "Problem solving followed by instruction" and "Productive Failure" approaches, we define an original "necessity-driven" learning design. Students are put in an apparently well-known situation, but this time they miss an essential ingredient…

"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…

Reflexivity refers to the capacity for individuals to understand the cultural system and manage their own position within it. Reflexivity is a key concept in the understanding of intercultural communication, particularly in recognising the ability for individuals to understand and adapt to new cultural contexts. However, the prevailing methods…

This paper describes an emerging approach to the design of task sequences and the theory that undergirds it. The approach aims at promoting particular mathematical concepts, understood as the result of reflective abstraction. Central to this approach is the identification of available student activities from which students can abstract the…

It is commonly accepted in the academy that developing a critical thinking capacity and related capabilities will make students more effective thinkers and writers, and that these are desirable traits for graduates to have no matter what path they take after graduation. While most academics agree that critical thinking is an essential component of…

Students often struggle with concepts from abstract algebra. Typical classes incorporate few ways to make the concepts concrete. Using a set of woven paper artifacts, this paper proposes a way to visualize and explore concepts (symmetries, groups, permutations, subgroups, etc.). The set of artifacts used to illustrate these concepts is derived…

The task of turning undergrads into academics requires teaching them to reason about the world in a more complex way. We present the Argument Complexity Scale, a tool for analysing the complexity of argumentation, based on the Integrative Complexity and Conceptual Complexity Scales from, respectively, political psychology and personality theory.…

Among the many difficulties beleaguering the communication research methods instructor is the problem of contextualizing abstract ideas. Comprehension of variable operationalization, the utility of the measures of central tendency, measures of dispersion, and the visual distribution of data sets are difficult, since students have not handled data.…