The purpose of this article is to add to the debate on the normative status and legitimacy of indoctrination in education by drawing on the political philosophy of Benedict Spinoza (1632-1677). More specifically, I will argue that Spinoza's relational approach to knowledge formation and autonomy, in light of his understanding of the natural…

The aim of this research was to explore the mathematical connections that pre-university students make when they sketch the graph of a derivative function and an antiderivative function. Also, we tried to explain the origin of the mathematical connections identified. We assume mathematical connections as a cognitive process through which a person…

Contribution: The authors present a methodology for assessing both novelty and systems thinking, as expressed in the same conceptual models constructed by graduate engineering students. Background: Companies worldwide seek employees with creativity and systems thinking, since solving design problems requires both skills. Novelty and usefulness are…

The physical problem of a body of water in a tank that drains through a hole in the base is a classical problem that has been studied since at least the time of Torricelli. To fixate this in a student's mind, one could ask them to visualize a bathtub that is being drained through the plughole or a bottle being drained through a tap. This problem…

A systematic review was conducted into the effect of interleaving the order of examples of concepts in terms of both memory of items and transfer to new items. This concept has important implications for how and when teachers present examples in the classroom. A total of 26 studies met the inclusion criteria; a subset of 17 studies (with 32…

The internal/external frame of reference (I/E) model describes the formation of students' math and verbal self-concepts by the joint effects of social comparisons (where students compare their subject-specific achievements with those of their classmates) and dimensional comparisons (where students compare their math and verbal achievements with…

In this study, we used a research tool for measuring students' conceptual understanding in optics, the Geometrical Optics Conceptual Understanding Test-2 (GOCUT-2), to evaluate the impact of supplementing classroom instruction with laboratory experiments, PhET simulations, or YouTube videos. This study involved students from public, urban…

Representations are ubiquitous in chemistry. They are part of the chemistry language instructors use to communicate chemistry phenomenon to students. Literature calls in support of learning with multiple representations, but there is a pre-requisite for students to learn from a single representation. In this exploratory study, 1086 students in…

In this paper, we extend the notion of noticing during the planning of a lesson to examine what and how teachers notice concerning the affordances of typical problems, such as examination-type or standard textbook questions. Teachers in examination-oriented educational systems generally use these types of problems to develop procedural skills.…

In this note we describe the mathematics that emerges from the construction of an origami box. We first construct a simple origami box from two rectangular sheets and then discuss some of the mathematical questions that arise in the context of algebra, geometry and calculus.

The Fourth Industrial Age (4IA) is likely to be accompanied simultaneously by an increase in technology-mediated learning and an urgent need for people to learn rapidly, effectively and collaboratively. This study investigates the potential of vicarious learning from videoed tutorials as a pedagogical tool suitable for the challenges of 4IA.…

Cyclic voltammetry (CV) is the most popular electrochemical technique for the study of electrode processes. One of the reasons for its popularity is its adjustable timescale which can vary several orders of magnitude simply by varying the rate at which the potential is scanned. Changing the scan rate affects CV features including the current,…

The study compared exhaustively the Successive Approximation Model (SAM) and Analyze, Design, Develop, Implement and Evaluate (ADDIE) model on the teaching and learning of Science, Technology, Engineering and Mathematics subjects in Ghana. We selected a sample of 30 student-teachers who offered Mathematics and Science in the distance mode of the…

This article closely examines (a) the "representational" connotation which is often implicit in many analyses of the scientific knowledge which children have (or have not) acquired when they are asked to say or show what they know and (b) the still common-place presumption that recollections are akin to the extraction of ideas from a…

The floating and sinking phenomenon related to buoyant force can readily be observed in everyday life and easily demonstrated to young students. However, many students believe that the buoyant force is determined by the object's attributes, such as the shape (e.g., ship) or material (e.g., wood). As a result, students find it challenging to…