This study proposed a low-cost, easy to set up and easy to modify virtual classroom simulation environment, "CartoonClass," and tested its impact on 27 pre-service primary school teachers' noticing development during a semester-long mathematics methods course. The participants' perceptions of using CartoonClass were also examined. A…

Tychonov's 1935 solution of the heat equation, exhibiting nontrivial heat fluxes spontaneously appearing along an isolated conducting rod initially held at zero degrees, has intrigued some specialists for almost a century. No doubt those practicing heat engineers who took mathematics seriously were initially relieved to learn that the construction…

Technology, in particular augmented reality (AR), has the potential to greatly enhance interactive learning environments for mathematics in both classrooms and other teaching environments. The purpose of the present study was to investigate existing literature on AR in mathematics education. We selected papers from 10 databases, Scopus, Web of…

The purpose of this study was to compare two simulated classrooms (virtual vs physical) in terms of how they affect pre-service teachers' perceptions and noticing ability. A total of 57 pre-service elementary school teachers participated in this study (28 in virtual Cartoon Classroom and 29 in physical Bear Classroom). The results were mixed. In…

We describe a hands-on project in which students collect data on the impact of distracted driving on driver reaction time. Initially they do this in class via a virtual driving applet, using themselves and fellow students as test subjects. Different applet versions simulate driving with and without distraction and measure the time it takes to…

In the post-pandemic world, metaverse technology has become a popular approach to facilitating students' online learning experiences. Drawing on Kolb's experiential learning theory, we created immersive scenes using CoSpaces Edu, a 'mirror-world' metaverse platform that enables students to observe mathematical properties virtually. We applied a…

Virtual reality (VR) research in mathematics education has centred largely on geometry content. This paper contributes by describing VR modules developed for another area that heavily involves three-dimensional objects: multivariable calculus. This paper also contributes by describing an empirical study on students' experiences inside the VR…

This study investigates how learners collaboratively construct embodied geometry knowledge in shared VR environments. Three groups of in-service teachers collaboratively explored six geometric conjectures with various virtual objects (geometric shapes) under the guidance of a facilitator. Although all the teachers were in different physical…

This study investigates how learners collaboratively construct embodied geometry knowledge in shared VR environments. Three groups of in-service teachers collaboratively explored six geometric conjectures with various virtual objects (geometric shapes) under the guidance of a facilitator. Although all the teachers were in different physical…

The evolution of mathematics coincided with advancements in its teaching. The 19th and 20th centuries marked a pedagogical revolution in mathematics education. This paper argues that Bruner's (1966) model, Gagné's (1985) taxonomy, innovative teaching methods emphasizing research and problem-solving, and the inclusion of data analysis topics have…

In school mathematics, representations of solid figures and three-dimensional geometric objects generally rely on two-dimensional projective representation modes on students' textbooks. In learning environments, these representation modes create a kind of cognitive filter, which prevents students with low spatial ability to comprehend and envision…

With the COVID-19 pandemic, technology-supported applications have been quickly integrated into education. At this point, Metaverse will inevitably be involved in the education sector. The need to determine the knowledge, attitudes, and awareness of our teachers, the practitioners of education, about the concept of metaverse has arisen. The…

This article focuses on using simulations of practice in teacher education. We studied preservice teachers' engagement with a popular simulations platform, which creates "mixed-reality simulations" of five digital avatars controlled by a single live interactor. Because simulations are only an approximation of real practice, our…

Computer simulations are considered efficient in supporting exploratory learning. This paper highlights instruction challenges and undesirable consequences on student learning in exploratory learning with computer simulations in classroom situations. A classroom with students who explore using simulations contains ideas explicated on several…

Rich research evidence supporting the strong, positive connections between spatial ability and mathematical ability has been well documented. Spatial tools, such as computer-aided-design (CAD) software, have been increasingly utilized and researched for promoting mathematics learning in K--12 (kindergarten to 12th grade). Tinkercad, a free online…