The systematic design and analysis of tasks which can be implemented in first-year university courses and point to advanced inner- and extra-mathematically rich issues and their rationales is an open problem in the didactics of mathematics in higher education. Potentials of such tasks can be seen with regard to learning processes in the first year…

Visual comparison is a key process in everyday learning and reasoning. Recent research has discovered the spatial alignment principle, based on the broader framework of structure-mapping theory in comparison. According to the spatial alignment principle, visual comparison is more efficient when the figures being compared are arranged in…

Practice in real-world settings exhibits many idiosyncrasies of scheduling and duration that can only be roughly approximated by laboratory research. Here we investigate 39,157 individuals' performance on two cognitive games on the Lumosity platform over a span of 5 years. The large-scale nature of the data allows us to observe highly varied…

This paper presents an initial analysis of 10 Preschool children's responses to a look-draw-trace-draw task. The findings suggest that figure-tracing helped half the children to produce a more accurate representation of the geometric figure presented to them, in their second drawing.

Collaboration enhances conceptual learning with multiple representations. However, learning with multiple representations also involves perceptual learning processes. These often-overlooked learning processes are the target of perceptual trainings, which expose students to short nonverbal tasks so that students can induce visual patterns across…

Fluency confound (FC) has been a widely studied issue in divergent thinking (DT) tasks. In this study, the impact of DT task structure on FC was examined by focusing on activity level data from Torrance Tests of Creative Thinking (TTCT)-Figural. The TTCT-Figural involves two different task structures. Prompts in Activities 1 and 2 are designed for…

Prospective memory (PM) is vital for children to live independently. Theoretical and empirical evidence has shown that executive function (EF) plays an important role in children's PM. However, there is no EF training for the PM of school-age children. Therefore, a 4-week EF training programme was conducted in this study to investigate the…

In vocational education, the learning content is often considered as concrete and specific, and the vocational learning involves physical work and interactions between participants and artefacts. Furthermore, one teacher has the overall responsibility for several students during classes in the vocational workshop at school, which means that the…

We investigate students' eye movements when they solve sequential and simultaneous synthesis physics problems. In sequential synthesis problems, multiple events occur chronologically, whereas in simultaneous synthesis problems, multiple events take place concurrently. We captured students' eye fixations on each problem diagram and recorded their…

While task repetition is effective for improving oral fluency, some teachers are reluctant to use it in their classrooms due to the alleged negative perceptions of learners toward repetitive practice. To address this concern, the participants in the current study completed a posttask questionnaire probing their perceptions toward task repetition…

This study examined repeating and growing pattern knowledge and their associations with procedural and conceptual arithmetic knowledge in a sample of U.S. children (N = 185; M[subscript age] = 79.5 months; 55% female; 88% White) and adults (N = 93; M[subscript age] = 19.5 years; 62% female; 66% White) from 2019 to 2020. Three key findings emerged:…

Background: Generalisation inferences let readers identify a conceptually superordinate statement to represent multiple subordinate concepts. This study measures text genres' influence on the scope and timing of generalisation inferences. Methods: To measure the scope, or breadth, of generalisation inferences, undergraduates (N = 266) read…

Although cognitive load (CL) and self-regulated learning (SRL) have been widely recognized as two determinant factors of students' performance, the integration of these two factors is still in its infancy. To further specify why and how CL links with SRL, we first conducted an overview to describe the multiple dimensions of cognitive load (i.e.,…

Bilingual infants acquire languages in a variety of language environments. Some caregivers follow a one-person-one-language approach in an attempt to not "confuse" their child. However, the central assumption that infants can keep track of what language a person speaks has not been tested. In two studies, we tested whether bilingual and…

Eye tracking technology enables the visualisation of a problem solver's eye movement while working on a problem. The eye movement of experts has been used to draw attention to expert problem solving processes in a bid to teach procedural skills to learners. Such affordances appear as eye movement modelling examples (EMME) in the literature. This…