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…

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…

This study aims to describe metacognitive interventions for students who experience suspension of sense-making when solving integration problems based on the characteristics of students' thinking. This research applied a qualitative research approach and provided essay tests followed by task-based interviews to classify students who experience…

This article aims to propose a digital version of Darwazeh's learning taxonomy. The DLT consists of 10 cognitive processes sequenced hierarchical from simple to complex either vertically from one mental process to another, or horizontally in each mental process. These cognitive processes are facts' remembrance, generalities' remembrance,…

Producing content-related gestures has been found to impact students' learning, whether such gestures are spontaneously generated by the learner in the course of problem-solving, or participants are instructed to pose based on experimenter instructions during problem-solving and word learning. Few studies, however, have investigated the effect of…

Making sense of theory plays an essential role in the life of a doctoral student. This autoethnographic study explores how I made sense of educational theory while conceptualizing the theoretical framework for my PhD proposal. A diary that I kept while designing the proposal serves as the data source to examine how my thinking about theory…

This study examined differences in cognitive processing between 4th-grade students who respond adequately, as opposed to inadequately, to intervention on 3 fraction outcomes: number-line estimation, calculation, and word problems. Students were assessed on 7 cognitive processes and on the 3 fraction outcomes. Students were grouped as adequate or…

This study examined differences in cognitive processing between 4th-grade students who respond adequately, as opposed to inadequately, to intervention on 3 fraction outcomes: number-line estimation, calculation, and word problems. Students were assessed on 7 cognitive processes and on the 3 fraction outcomes. Students were grouped as adequate or…

Social studies instruction in upper elementary school (Grades 3-5) is important for building foundational content knowledge to equip students for the secondary school curriculum. Due to numerous school initiatives and demands on the time of teachers, social studies instruction can play second fiddle to reading and mathematics instruction, which…

The relationship between knowledge and literacy is a central concern for all teachers. In his teaching, Palek noted that his students were struggling to understand complex substantive concepts such as "parliament" and decided to explore the relationship between students' understanding of a concept and their wider substantive knowledge…

Despite its familiarity and the fact that it becomes a formal area of study in early upper primary grades, optics remains a cognitive challenge for young as well as advanced learners, not only because much of it is counter-intuitive but also because its conceptual comprehension involves negotiating the vocabulary and graphical symbolism involved…

Plausibility judgments rarely have been addressed empirically in conceptual change research. Recent research, however, suggests that these judgments may be pivotal to conceptual change about certain topics where a gap exists between what scientists and laypersons find plausible. Based on a philosophical and empirical foundation, this article…

This study examined learning differences for students who were given instructor-provided examples during a lesson compared with student-generated examples. In an experiment, 348 students were exposed to an online lesson about fear appeals and were randomly assigned to either a condition where (a) examples of key concepts were provided by the…

Two approaches to the process of guided discovery learning are compared for their impacts on concept understanding. One, referred to as design, emphasizes invention and draws on the simulation literature. The other, referred to as case analysis, focuses on discovery and draws on the case-based reasoning literature. Following a lecture on four…

The central goal of this qualitative research study was to uncover major implicit assumptions that students with different levels of training in the discipline apply when thinking and making decisions about chemical reactions used to make a desired product. In particular, we elicited different ways of conceptualizing why chemical reactions happen…