We offer a new angle to explain the comprehension of mathematical infinity. We use Action-Process-Object-Schema (APOS) theory to explore the construction of different aspects of the cognitive Object related to this notion. We focus our attention on different ways of interacting with infinity, and how to act on infinite entities. Our aim is to shed…

Many instructional videos in mathematics education target knowledge of procedures and algorithms. To design instructional videos that support students in a non-algorithmic domain, such as mathematical modeling, we developed a framework based on research on heuristic worked examples and instructional videos. Because students' perceptions play an…

The purpose of this basic qualitative study was to explore nontraditional students' experiences and strategies used to overcome math anxiety. It addressed two research questions; how adult students developed their beliefs about math anxiety, and how they described the strategies used to change their beliefs and become successful in completing an…

Despite the growing emphasis on integrating collaborative problem-solving (CPS) into science, technology, engineering, and mathematics (STEM) education, a comprehensive understanding of the critical factors that affect the effectiveness of this educational approach remains a challenge. This study aims to identify effective strategic and behavioral…

In the realm of mathematics education, geometry problems assume a pivotal role by fostering abstract thinking, establishing a connection between theory and practice, and offering a tangible portrayal of reality. This study focuses on comprehending problem-solving methodologies by observing the eye movements of 45 primary and multi-year grammar…

A quantitative predictive correlational study was conducted to find to what extent, if any, gender and adult student status, individually or in combination, moderates the predictive relationships between resilience and self-regulated strategies of Goal Setting (GS), Environment Structuring (ES), Task Strategies (TS), Time Management (TM), Help…

Intelligent tutoring systems (ITSs) incorporate pedagogical agents (PAs) to scaffold learners' self-regulated learning (SRL) via prompts and feedback to promote learners' monitoring and regulation of their cognitive, affective, metacognitive and motivational processes to achieve their (sub)goals. This study examines PAs' effectiveness in…

This study examines the solutions of 34 kindergarten children as they create equal groups from n bottle caps, where n was equal to 8, 9, 22, and 23. For each n, children were asked to find as many different solutions as possible. The number of solutions they found, i.e., children's fluency, as well as the strategies used to create equal groups,…

This paper identifies the contribution of the different dimensions of motivational constructs, i.e., self-efficacy, task value, learning goal orientation, and performance goal orientation to motivational and affective strategy use. The findings of the regression analyses suggested that the dimensions altogether contribute significantly to…

The effects of the direct and indirect relationships of personality traits on academic performance are shared in this paper. These complex relationships are examined using Structural Equation Modelling (SEM) with reference to the modified Biggs' 3P model. The major findings of the effects of personality traits on academic performance are (1) the…

"Active learning classrooms" are purpose-built learning spaces designed to facilitate active learning strategies. While sometimes constructed as new rooms, active learning classrooms may also be retrofit from existing learning spaces. The ongoing evaluation of active learning classrooms helps to generate new research insights,…

Distinguishing easily confusable categories requires learners to detect their predictive differences. Interleaved sequences -- switching between categories -- help learners to detect such differences. Nonetheless, learners prefer to block -- switching within a category -- to detect commonalities. Across two 2 × 2-factorial experiments, we…

The purpose of this article is to describe a doctoral residency seminar course that is part of a Ph.D. in Curriculum and Instruction degree program. Courses such as these provide new doctoral students with the necessary experiences to help them succeed in the program. This course is a venue for students to discuss the degree program, including…

This article begins by considering the radical changes that occurred in architecture throughout the twentieth century due to the influence of Le Corbusier and the ensuing movement of modernism. Though the building of schools was embroiled in this architectural movement, the classrooms within them remained broadly the same as they had been in the…

The aim of this study was to analyse whether specialised musical training influences auditory discrimination, working memory, learning strategies and academic performance. Sixty students (30 with at least four years of musical training and 30 without) of the same socioeconomic level were compared. Significant differences were found between…