Definitions play an important role in mathematics by stipulating objects of interest to mathematicians in order to facilitate theory building. Nevertheless, limited research has examined how mathematicians approach writing definitions or the values of the mathematical community that are upheld through norms related to definition use and writing.…

This study examines middle school mathematics teachers' concept definitions of five geometric objects (prism, pyramid, cone, cylinder, and sphere). The study included 99 middle-grade mathematics teachers in three provinces and districts. The data were gathered through six open-ended questions determined to reveal the participants' Concept…

This essay coins and conceptualizes the term "publicwashing." In educational systems and organizations, publicwashing is a symbolic communication that emphasizes organizational publicness for the purpose of a superficial repair of reputation. The essay defines publicwashing and describes its motives and manifestations. Additionally, it…

Various theories and models have implicitly discussed the role of interaction when using learning technologies. Indeed, interaction is described as being important as it relates to technology adoption, cognitive load, and usability. While each of these perspectives describe elements of interaction, they fail to comprehensively detail how educators…

Objective/Research Question: The urgency to replace retiring community college leaders has been a topic of research and discussion for the past two decades. Concurrently, expansive definitions of leadership and collaborative approaches to leading have emerged. The central research question for this study was: How do sitting community college…

The Individuals with Disabilities Education Act allows states some autonomy in altering the disability category terminology and definitions, given that the changes do not exclude students eligible under the federal language. Several states have used this flexibility for the emotional disturbance category historically. This study provides a…

In this paper, we explore the following research questions: How do first-grade students define even and odd numbers? What types of justifications do they use to support their generalizations using these definitions? We report the ways in which first-grade students define even and odd numbers and how they justify generalizations that use their…

The current study is part of a comprehensive research on linking visualization, students' construction of geometrical concepts and their definitions, and students' ability to prove. The aim of the current study is to investigate the effect of learners' understanding of definitions of geometrical concepts on their understanding of the essence of…

Affirmative consent initiatives advocate that college students understand sexual consent and refusal. There has been an influx of research focused on students' definitions or understanding of consent; however, research examining students' definitions of sexual refusals is limited. Additionally, different terminology (e.g., non-consent vs. sexual…

Definitions are fundamental to any mathematics classroom. We consider how definitions are presented in textbooks and instructors' lecture notes, and whether students are positioned to gain a full understanding of new terms. Four textbooks, covering precalculus, calculus, and analysis, as well as three professors' Calculus I lecture notes are…

Distance education across all levels of education is growing at a rapid rate. As institutions and governments attempt to guide distance education, working definitions and their meanings conflict. Perhaps this is in part because administrators and practitioners are working from definitions that are decades-old. This paper suggests new definitions…

We propose a working definition of creative experience that involves principled engagement with the unfamiliar and a willingness to approach the familiar in unfamiliar ways. In other words, a creative experience can be defined as novel person world encounters grounded in meaningful actions and interactions, which are marked by the principles of:…

This study aims to provide a general overview of how educational leadership is defined by Arab educators and education specialists in the Arab region, concentrating on the State of Qatar. The study builds on insights from socio-cultural theory and critical discourse analysis, viewing language as a social practice and thus treats leadership as a…

The purpose of the present article is to investigate the definition of matrix multiplication as a central issue in linear algebra courses. Applying both historical and pedagogical approaches, it focuses on the philosophy of generating the usual matrix multiplication, as a special binary operation, with its partly unexpected form compared with the…

The concept of research and development (R&D) is well established in the industrial, scientific, and technological fields. In the educational field, however, this concept is typically used as a 'buzz word' to refer to innovation and entrepreneurship, blurring its essential meaning. This article uses the Delphi method process of…