In order to create and foster learning spaces that build upon children's knowledge and experiences, we must respect and value their ways of knowing and being, including their play. Accordingly, this study highlights the ways that young children (re)imagined spaces, materials, and identities through their digital play in an analog (containing no…

Data reported from memory can be unreliable. A simple activity lets students experience this firsthand.

In this report, we analyze students' learning of compound probability by describing connections they generated while engaged with tasks involving two independent events. Several of their connections were compatible with the development of expertise, such as recognizing the need to determine sample spaces across a variety of situations and noting…

We attend to the composition of even and odd functions, as featured in imagined dialogues between a teacher and students, composed by sixteen teachers in a professional development program. Data were analyzed as aimed at addressing students' intellectual needs, with particular attention to the need for causality and the need for certainty. The…

This study aims to explore the middle schoolers' common naive conceptions of AI and the evolution of these conceptions during an AI summer camp. Data were collected from 14 middle school students (12 boys and 2 girls) from video observations and learning artifacts. The findings revealed 6 naive conceptions about AI concepts: (1) AI was the same as…

The relativistic addition of velocities is usually introduced early in the study of Einstein's special theory of relativity. The equations are simple enough, but randomly chosen velocities lead to unwieldy calculations that can dishearten the student. This paper presents tables of velocity components in two dimensions, composed of five or fewer…

A key concept in current fluid dynamics and its applications to biology and technology is a phenomenon known as wetting. Wetting is familiar from everyday life and is simply the ability of a liquid to stay in contact with a solid surface. The wettability depends on the properties of the liquid and the solid and can be characterized by the static…

Middle school students (n = 144) worked with an applet specially designed to introduce the concept of function without using algebraic representations. The purpose of the study was to examine whether the applet would help students understand function as a relationship between a set of inputs and a set of outputs and to begin to develop a…

Scientific progress on creativity research depends on having properly operationalized measures. In psychological research on creativity, it is common to operationalize creativity as the combination of novelty and appropriateness. However, the operationalization of appropriateness varies widely across researchers, studies, and domains (e.g.…

Biochemistry students at the introductory level easily comprehend the importance of energy-yielding oxidation and reduction biochemical processes, but nevertheless, they fight with words "oxidation" and "reduction" (and with the corresponding adjectives, "oxidized" and "reduced") applied in biochemistry…

Many concepts are defined by their relationships to one another. However, instructors might teach these concepts individually, neglecting their interconnections. For instance, students learning about statistical power might learn how to define alpha and beta, but not how they are related. We report two experiments that examine whether there is a…

Video lectures are considered as one of the primary media to cater good-quality educational content to the learners. The video lectures illustrate the course-relevant concepts with necessary details. However, they sometimes fail to offer a basic understanding of off-topic concepts. Such off-topic concepts may spawn cognitive overload among the…

If an empty coffee cup is spun on a horizontal surface about a vertical axis in an anti-clockwise direction, then the whole cup rotates slowly backwards, in a clockwise direction, about a vertical axis located outside the cup. Clues to this curious behaviour are presented by comparing it with other spinning objects.

How many vertical jumps does it take to jump off of a rotating merry-go-round (MGR)? The answer is hidden in the expression: "r[subscript n]" = "r[subscript 0]" (1 + ["beta superscript 2") ["superscript n/2"]. When you make a vertical jump on a train moving on a straight line at constant speed (inertial…

In this review, approaches to teaching and learning in environmental education were explored at a conceptual level to understand the diversity of pedagogies in the discipline. We applied systems thinking to make conceptual parallels between ecology (physical environment, plant species, traits, plant strategies) and education (environmental…