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…

This study contributes to the literature on linear algebra instruction by designing and researching a teaching sequence based on APOS Theory to introduce engineering students to vector spaces. The sequence offers students multiple opportunities to understand the concept. Another contribution is the evidence that introducing prerequisite…

Despite considerable progress made in educational neuroscience, neuromyths persist in the teaching profession, hampering translational endeavors. The initial wave of interventions designed to dispel educational neuromyths was predominantly directed at preservice teachers. More recent work in the field, reviewed here, has shifted its focus…

The understanding mathematical concept is an error that often occurs in classroom learning among students when solving mathematical problems. The most difficult part for students is solving problems, because it requires numeracy skills, high concept mastery, as well as the ability to use good language, and so on so that students don't make any…

The paper presents findings from a study that examined, through the lens of the Image Having layer of the Pirie-Kieren model, the qualitative characteristics of the images that different children formed when engaging with eight, novel partitive quotient tasks. The Image Having layer is the first point of abstraction within the Pirie-Kieren model.…

Similarity is a crucial concept introduced in the 8th grade, and it is further developed and reinforced through associations during high school. This research aims to investigate how 8th grade students construct the concept of similarity using concrete manipulative support within the framework of APOS theory. The research was conducted as a…

Physiology concepts, such as acid-base balance, may be difficult for students to understand. Systems modeling, a cognitive tool, allows students to visualize their mental model of the problem space to enhance learning and retention. We performed a within-subjects three-period randomized control comparison of systems modeling versus written…

Higher education is facing increasing calls to engage in a process of intellectual decolonisation. This process necessitates that we take time to consider both the content of our curriculum and the pedagogic practices used to facilitate its understanding. Drawing on discussions of both intellectual decolonisation and its underpinning principles of…

A process of abstraction initiates the development of a theory of applied linguistics, beginning with the distinction between technical norm and technical fact. Each applied linguistic intervention has a normative dimension and a factual interface with its users. The second step is to abstract the qualifying technical modality of these artefacts,…

This mixed-methods research study aimed to observe the changes in relational conceptual changes and achievement in photosynthesis and cellular respiration in 15 seventh-grade students using the variation theory of learning, a framework for contextual distinctions, and supports the Common Knowledge Construction Model (CKCM) for science education.…

We present two studies to investigate the extent to which attending a planetarium presentation increases secondary school students' understanding of the apparent motion of the Sun and stars. In the first study, we used the Apparent Motion of Sun and Stars (AMoSS) test in a pretest/post-test/retention test setting to measure learning gains and…

The question of social justice in language education (LE) became prominent due to increased linguistic and cultural diversity fuelled by globalization and migration, which exacerbated social inequality in this neoliberal era. The critical "turn" in education resulted in the emphasis on issues of social inequality, racial discrimination,…

The purpose of this study was to explore the differences in proficiency levels on the Illinois Assessment for Readiness (IAR) for schools using traditional grading methods versus standards-based grading methods. The researcher was interested in which grading method was associated with a high percentage of students scoring a (4) meet expectations…

How does conceptual structure of external representations contribute to learning? This investigation considered the influence of generative concept sorting and of external structure information moderated by perceived difficulty. In Study 1, undergraduate students completed a perceived difficulty survey and comprehension pretest, then a sorting…

Idea evaluation has been identified as a critical step in the creative problem-solving process. Yet, it is unclear how exactly individuals evaluate and compensate for weaknesses in their creative ideas. In the present study, both qualitative and quantitative methods were used to identify the compensatory strategies that undergraduate participants…