In this paper, we focus on two particularly problematic concepts in teaching mathematics: the complex unit i and angles. These concepts are naturally linked via De Moivre's theorem but are independently misused in numerous contexts. We present definitions, notations, and ways of speaking about these terms from mathematics education that are not…

It is easy to dismiss the work of "teaching students to apply formula" as a low-order priority and thus trivialises the professional knowledge associated with this practice. Our encounter with an experienced teacher--through the examination of her practices and elaborations--challenges this simplistic assumption. There are layers of…

This research draws on Legitimation Code Theory (LCT) to understand the epistemic dimension of the higher education classroom discourse of a professor who is well evaluated by his students. In expository science classroom discourse, concepts are loaded with different meanings, a process that is called "condensation of meanings" in LCT,…

The goal of this study was to test whether psychological availability and mindfulness are associated with cognitive overload in two student populations with and without learning disabilities. This study tested hypotheses regarding the differences between the two study populations and the degree of association between the study variables. 60…

The researchers investigated music teachers' perceptions of the sources and difficulty of competency acquisition for music teaching. Participants (N = 338) were music teachers in Arizona, Texas, and Washington. Using categorized competencies for music teaching (music, teaching, or personal skills/knowledge), the researchers divided participants…

Prior research has focused extensively on how emotion tendencies (e.g., duration, frequency, intensity, and valence) affect students' performance, but little is known about emotion variability (i.e., the fluctuations in emotion states) and how emotion variability affects performance. In this paper, emotion variability was examined among 21 medical…

The existence of outliers in the anchor items can be detrimental to the estimation of examinee ability and undermine the validity of score interpretation across forms. However, in practice, anchor item performance can become distorted due to various reasons. This study compares the performance of modified "INFIT" and "OUTFIT"…

This study investigates text readability level investigation about biology subjects-related units in 'Science 7 Textbook'. A document analysis method was used in this study based on a qualitative research approach. The textbook, which has been used since the 2019-2020 academic year, has been selected as the study material. In the textbook, a total…

Several working memory (WM) theories assume a resource sharing between the maintenance of information and its processing, whereas other theories suppose that these 2 functions of WM rely on different pools of resources. Studies that addressed this question by examining whether dual-task costs occur in tasks combining processing and storage have…

This study investigates children's vocabulary knowledge in Finnish Sign Language (FinSL), specifically their understanding of different form-meaning mappings by using a multilayered assessment format originally developed for British Sign Language (BSL). The web-based BSL vocabulary test by Mann (2009) was adapted for FinSL following the steps…

The intent of this report is to contribute to discussions about what is involved in efforts to implement the type of broad-based, multifaceted system changes seen as essential for fundamentally improving schools. The report begins by stressing four interrelated considerations involved in making multifaceted and complex sustainable changes at a…

Knowledge tracing (KT), the task of tracking the knowledge state of each student over time, has been assessed actively by artificial intelligence researchers. Recent reports have described that Deep-IRT, which combines Item Response Theory (IRT) with a deep learning model, provides superior performance. It can express the abilities of each student…

We propose an adaptation of the Glicko-2 rating system in a K-12 math learning software setting, where variable time intervals between solution attempts and the stratification of student-item pairings by grade levels necessitate modification of the original model. The discrete-time stochastic process underlying the original system has been…

Forty-seven percent of higher education chief academic officers have been in their positions for three years or less, but there has been no systematic review and exploration into why this level of turnover has occurred. The purpose of this qualitative research study was to gather data from a select group of chief academic officers to more fully…

The purpose of this mixed-methods study was to determine the extent to which preservice teachers could identify various academic language markers (general academic and discipline-specific vocabulary, passive voice, nominalization, logical connections, and referents--pronouns and synonyms) in complex texts and describe the language that make texts…