The aim of the current study was to investigate the statistical literacy of seventh grade students regarding the concepts of average and variation on bar and line graphs presented in alternative real-life contexts. To this end, the statistical literacy levels of the seventh grade students were initially determined. Subsequently, definitions,…

Scientific ideas are often expressed as mathematical equations. Understanding the ideas contained within these equations requires making sense of both the embedded mathematics knowledge and scientific knowledge. Students who can engage in this type of blended sensemaking are more successful at solving novel or more complex problems with these…

Psychologists have studied the question of what happens to naïve or intuitive concepts about science that form before accepted scientific ideas have been taught. Studies find that both the accuracy and time required to decide about the accuracy of carefully crafted statements reveal remnants of intuitive models of science. This is true even after…

Student learning in upper-division thermal physics has not been studied to the same extent as in other courses like electromagnetism and quantum mechanics. Studies addressing reasoning and learning at the graduate level are even more limited. In this study, we conducted think-aloud interviews with eight graduate students involving questions…

In at least two papers published in this "Journal," enzyme free energy diagrams were presented showing enzyme--substrate binding to be nonspontaneous. I present here several different approaches showing that enzyme--substrate binding is "always" spontaneous, and the y-axis of the reaction progress diagrams presented previously…

Do we structure object-related conceptual information according to real-world sensorimotor experience, or can it also be shaped by linguistic information? This study investigates whether a feature of language coded in grammar--numeral classifiers--affects the conceptual representation of objects. We compared speakers of Mandarin (a classifier…

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.…