This article is the third in a series of activities that discusses some interesting relationships with triangles. The first article (EJ1259412) introduced the various circles and centres involved with a triangle, as well as the Euler Line (named after the famous mathematician Leonhard Euler) which passes through four of the five centres. The…

Numerosity perception has been studied for at least 150 years and its psychophysics have been well characterized by experimental work. However, the origins of many of its key properties remain obscure. For instance, people estimate the numerosity of small sets (up to four) much more rapidly and accurately than larger sets; people tend to…

As a response to the increased need for humanization and representation in STEM, a set of open-source, customizable icons was developed using stackable vector graphics to allow participants to design their own research icons. These icons have the potential to both grant research participant's greater agency in their representation and attempt to…

This onto-epistemic experimental essay is a modest attempt to imagine another world yet to come in a time of what David Theo Goldberg calls "dread." To interrogate the unnamable feeling/texture the author's body wants to be free from, memories of the author, an…

Previous studies on Bayesian situations, in which probabilistic information is used to update the probability of a hypothesis, have often focused on the calculation of a posterior probability. We argue that for an in-depth understanding of Bayesian situations, it is (apart from mere calculation) also necessary to be able to evaluate the effect of…

Concepts related to molecular structure are often challenging for students to visualize and comprehend. Augmented reality has emerged as a promising solution to this problem, providing students with opportunities to manipulate and visualize chemical molecular structures to improve their understanding. Furthermore, collaborative learning…

Background: Emotional design of multimedia lessons involves adding features that are intended to increase learner enjoyment and promote learning--such as adding narrative, anthropomorphizing non-human elements, and using warm colours. Objective: The present study extends this work to examine the potential of Japanese animation (anime) for…

Preschool students' mastery of early numeracy skills is important, so they enter kindergarten with the necessary prerequisite skills, which are predictive of achievement in later elementary grades. The purpose of this study was to examine the effects of a concrete-representational-abstract (CRA) instructional package on the foundational early…

External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to…

Most primary school students, although they grasp the scientific concepts of heat convection at the macroscopic level, commonly fail to visualize those concepts. Therefore, our research aims to enact a constructivist teaching sequence (CTS) to restructure students' visualization changes, ultimately enabling them to synergize macroscopic and…

Gendered power relations and cyber-objectification can be produced through Snapchat in schooling contexts. The research illustrates how social media circulates affect in an Australian high school setting. While "Snapchatting" can evoke joy, it can produce gendered inequities. This research details affective inequalities associated with…

This article examines pre-service language teachers' perceptions of learning and teaching and how differentiation manifests itself in them. The 67 participants visualised 'an ideal language learning situation' and complemented a number of teaching-related metaphors, for instance, 'A teacher is like…' and 'A learner is like…' in the first session…

Semi-structured interviews are used to gain insights into participants' lived experiences and perspectives on issues, but they are open to subjectivity. To address this issue our study explored the combination of timeline graphic elicitation tools with semistructured interviews as an approach to gain insights into teachers' experiences of…

Extensive research has been conducted to investigate the role of emojis in interpretation, impression, perceptions, personality and relationship building. However, in the higher education sector, few studies have examined how emojis influence the learning motivation and performance of students. Using the theories of source credibility and stimulus…

Effective spatial visualization and reasoning skills are often credited for students' success in science and engineering courses. However, students enrolled in these science courses are not always exposed to or trained properly on the best ways to utilize models to aid in their learning. Improving spatial visualization techniques with 3D models,…