Mathematics education is a complex, multi-disciplinary field of study which treats a wide range of diverse but interrelated areas. These include the nature of mathematics, the learning of mathematics, its teaching, and the social context surrounding both the discipline and applications of mathematics itself, as well as its teaching and learning.…

This paper focuses on pattern generalisation as a way to introduce young students to early algebra. We build on research on patterning activities that feature, in their work with algebraic thinking, both looking for sameness recursively in a pattern (especially figural patterns, but also numerical ones) and conjecturing about function-based…

In their National Bureau of Economic Research (NBER) working paper, "Does Gifted Education Work? For Which Students?" Card and Giuliano (C & G) made an enormous splash in not just gifted education but also the world (e.g., "The Washington Post," "The Atlantic," Five Thirty Eight). In this commentary, we highlight…

Use young children's quick attention to numerosity to evaluate their grasp of number while they engage in game play.

In the book "Forgotten Connections. On Culture and Upbringing," originally from 1983, the late German educator Klaus Mollenhauer interprets Johann Friedrich Herbart's educational concept of "Bildsamkeit", i.e., the ability and willingness to be educated. Furthermore, Mollenhauer conceives "Bildsamkeit" as growing out…

Among the commonly used resampling methods of dealing with small-sample problems, the bootstrap enjoys the widest applications because it often outperforms its counterparts. However, the bootstrap still has limitations when its operations are contemplated. Therefore, the purpose of this study is to examine an alternative, new resampling method…

Differential item functioning (DIF) assessment is a crucial component in test construction, serving as the primary way in which instrument developers ensure that measures perform in the same way for multiple groups within the population. When such is not the case, scores may not accurately reflect the trait of interest for all individuals in the…

The group activity described in this article was originally designed for an upper-division undergraduate course on Rhetoric and Architecture, but would also be well suited for courses in Persuasion, Rhetorical Criticism, or Visual Rhetoric. Any undergraduate course related to communication and design (including Advertising) could make excellent…

Could Usain Bolt achieve what teachers often fail to do? Could this famous Olympic winner challenge and motivate students to study mechanics and introduce them to the principles of physics in a fun way, outside of the classroom? In order to answer these questions, we "invited" for one semester the world record holder to visit our Greek…

This paper uses Bernstein's sociology of knowledge and studies of professional knowledge and expertise to identify how knowledge value is constituted in higher education curricula. It is argued that different knowledge structures and forms of disciplinary community influence how curricula are determined, and lead to distinctive types of knowledge…

The forgotten history of de Broglie waves as themselves artifacts of a Lorentz transform, not physical lengths and frequencies to be transformed, causes confusion for students and others. In this paper the de Broglie wavelength is derived and dependence of de Broglie frequency on velocity explained in terms of Einstein synchronized reference frame…

Throughout a general education course on sound and light aimed at music and art students, analogies between subjective perceptions of objective properties of sound and light waves are a recurring theme. Demonstrating that the pitch and loudness of musical sounds are related to the frequency and intensity of a sound wave is simple and students are…

The classroom jumping ring demonstration is nearly always performed using alternating current (AC), in which the ring jumps or flies off the extended iron core when the switch is closed. The ring jumps higher when cooled with liquid nitrogen (LN2). We have performed experiments using DC to power the solenoid and find similarities and significant…

Our mental maps related to the cities are limited by our personal perception and fragmented in the process. There are many inner and outer effects that shape our mental maps, and as a result the fragmented whole refers to the total city image in our minds. To represent this image, an experimental study has been conducted with a group of students.…

This a/r/tographic inquiry delves into questions about participatory art museum practice, specifically seeking to understand the nature of invitations to participate. Utilising drawings, writing and mapping of embodied participation, questions of how individuals are invited to participate in various locations and how these invitations inform the…