In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the "philosophy of mathematical practice." In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice…

The purpose of this study is to investigate the effects of applications created using a web-based 3D design environment on the spatial visualisation and mental rotation abilities of secondary school students. A total of 63 school students from the sixth grade participated in the study. The researchers applied a mixed research method including both…

There is evidence that spatial thinking is malleable, and that spatial and mathematical skills are associated (Mix et al. [2016] "Journal of Experimental Psychology: General," 145, 1206; Mix et al. [2017] "Journal of Cognition and Development," 18, 465; Uttal et al. [2013] "Psychological Bulletin," 139, 352). However,…

Toddlers' understanding of object rotation was investigated using a multimethod approach. Participants were 44 toddlers between 22 and 38 months of age. In an eye-tracking task, they observed a shape that rotated and disappeared briefly behind an occluder. In an object-fitting task, they rotated wooden blocks and fit them through apertures.…

Light rays refract when passing through pockets of transparent fluids with different indices of refraction such as ordinary air pockets of varying temperature. This phenomenon makes night stars twinkle, distorts views above hot asphalt roads and hot barbeque grills, and provides an opportunity for visualizing the normally invisible movement of…

This paper discusses the potential of the creation and analysis of historical networks as didactic strategies in science education. To this end, we first argue the importance of combining critical approaches of the history of science with historical network research. This will be followed by a report of an empirical experiment in which the history…

Engaging learners with complex unfamiliar datasets is a known challenge in Data Science education. One promising phenomenon investigated in related work is perspective-taking. A first-person "actor" perspective can help facilitate group and individual sensemaking by mediating observations and actions taken by learners. Here we…

CAL (Computer Assisted Learning) programs are widespread today in schools and families due to the effectiveness of CAL programs in improving students' learning and task performance. The flourishing of CAL programs in education has brought large amounts of students' learning data including log data, performance data, mouse movement data, eye…

Performance in everyday spatial orientation tasks (e.g., map reading and navigation) has been considered functionally separate from performance on more abstract object-based spatial abilities (e.g., mental rotation and visualization). However, few studies have examined the link between spatial orientation and object-based spatial skills, and even…

Mind mapping is a visualization tool used in instruction that can be applied by learners to generate ideas, take notes, organize thinking, and develop concepts. Instruction using mind mapping is becoming increasingly commonly used in education. However, research has produced inconsistent results regarding the effectiveness of mind mapping-based…

Laboratory tasks often focus on mechanical procedures leaving limited time and opportunities for students to build conceptual knowledge. We investigate to what extent introducing simulation tasks to preparation work can enable students to build their conceptual knowledge. We surveyed two cohorts of students taking an electronics module. Laboratory…

Teaching dance technique in academic environments can be problematic in that many Western practices are rooted in traditions that contradict contemporary educational theory. This can create a disconnect between maintaining time-honored traditions and developing more student-centered class structures. This article questions the importance of…

This study is the extension of our previous visualizing study on the commognition processes in computer-supported one-to-one tutoring. With the help of the scale of commognitive responsibility score, we found that the main triggers of the commognition process shift are the positive transfer of knowledge and cognitive conflict. On the basis of…

Mental training has been employed successfully by experienced musicians, but rarely explored with younger learners. Considering its benefits, however, including the use and development of predictive, feedforward processes, identified in neuroscience as being central to playing a musical instrument, this mixed qualitative-quantitative study…

This article describes Gapminder, a dynamic time-series graph that can be found at http://www.gapminder.org. Gapminder was created by a team of developers (Rosling, Ronnlund, and Rosling 2005) to create beautiful, interactive graphs of otherwise lifeless numbers. Their goal is increased use and understanding of statistics and data that…