In this work, we discuss the importance of underlying theoretical assumptions in research, focusing on the conclusions reached when analyzing data from a misconceptions constructivist (stable, unitary) perspective in contrast to a fine-grained constructivist (resources, knowledge-in-pieces) perspective. Both frameworks are rooted in the idea that…

This paper extends prior work establishing an operationalized framework of mathematical sense making (MSM) in physics. The framework differentiates between the object being understood (either physical or mathematical) and various tools (physical or mathematical) used to mediate the sense-making process. This results in four modes of MSM that can…

In this article, the author shares the Menu Writing project, designed to promote a meaningful, real-world connection to mathematics with the lives of students. The rationale for developing this project was two-fold: (1) to connect school mathematics to students' lived experiences to encourage and sustain students' interest, motivation, and…

The education system evolves and transforms towards interactive and immersive learning tools in this digital age. Augmented reality has also evolved as a ubiquitous, robust, and effective technology for providing innovative educational tools. In engineering education, many abstract concepts require technological intervention for conceptual…

Previous studies have found that students' concept-building approaches, identified a priori with a cognitive psychology laboratory task, are associated with student exam performances in chemistry classes. Abstraction learners (those who extract the principles underlying related examples) performed better than exemplar learners (those who focus on…

Abstraction is one of the most fundamental ideas in computer science (CS), and as such, according to Bruner, it should be taught spirally, starting as early as possible and revisited at every level of education. However, teaching CS abstraction to novices is a very challenging task, and CS educational research has often demonstrated students'…

The purpose of the study is to examine the role of spatial ability and attention shifting in reading of illustrated science texts. Thirty-five fourth/fifth elementary students read two science texts. Prior knowledge and retention/transfer learning outcomes were measured using researcher-developed measures. While reading, students' eye movements…

Designing pedagogical experience to serve as groundwork on which to build an understanding of abstract concepts is a challenging mission for educators. Much research has found that embodied activities could facilitate conceptual metaphor for students to understand such concepts. This study has captured the trajectory of reasoning occurred during…

A script concordance test (SCT) was developed as an innovative tool for assessing ethical reasoning ability. An SCT of 12 medical ethical vignettes were constructed from the UNESCO Casebook on Human Dignity and Human Rights. The vignettes were reviewed by a panel of 15 medical experts before administration to a panel of 18 clinicians. The…

Probabilities tend to become an integral part of early childhood mathematics curricula. Research has shown that at the age of 4, children indicate basics of probabilistic reasoning and can engage with probabilistic tasks and uncertainty. The aim of this study is to examine whether methodological and design alterations influence children's…

Reasoning about numerical magnitudes is a key aspect of mathematics learning. Most research examining the relation of magnitude understanding to general mathematics achievement has focused on whole number and fraction magnitudes. The present longitudinal study (N = 435) used a 3-step latent class analysis to examine reasoning about magnitudes on a…

This article attempts to think of thinking as the essence of critical education. While contemporary education tends to stress the conveying of knowledge and skills needed to succeed in the present-day information society, the present article turns to the work of Theodor W. Adorno to develop alternative thinking about education, thinking and the…

In this paper we give a general definition of structural reasoning, followed by a typology that instantiates the definition in mathematical practices. Five major categories of structural reasoning, some with subcategories, are offered: (a) pattern generalization, (b) reduction of an unfamiliar structure into a familiar one, (c) recognizing and…

There is an extensive body of philosophical, educational, and popular literature explaining Socratic pedagogy's epistemological and educational ambitions. However, there is virtually no literature clarifying the relationship between Socratic method and doxastic responsibility. This article fills that gap in the literature by arguing that the…

Diagrams are powerful opportunities for grappling with and learning abstract relationships, for example learning the relations between elements in an ecosystem rather than simply memorizing the objects within the system. Further, what is crucial from any diagrammatic learning opportunity is the ability to use this relational knowledge in a new…