To prevent students from learning risks and improve teachers' teaching quality, it is of great significance to provide accurate early warning of learning performance to students by analyzing their interactions through an e-learning system. In existing research, the correlations between learning risks and students' changing cognitive abilities or…

We present an innovative modelling technique that simultaneously constrains student performance, course difficulty, and the sensitivity with which a course can differentiate between students by means of grades. Grade lists are the only necessary ingredient. Networks of courses will be constructed where the edges are populations of students that…

In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

Ten years after the announcement of the "rise of the super experiment" at Educational Data Mining 2012, challenges to implementing "internet scale" educational experiments often persist for educational technology providers, especially when they seek to test substantive instructional interventions. Studies that deploy and test…

We believe that developing cultural competencies can help students learn mathematics and conversely that learning mathematical content can help students learn about themselves and others. Using frameworks introduced by Rendón (2009) and Gutiérrez (2018), we present a five-part bundle of activities for undergraduate differential equations course…

Self-directed learning and creativity are critical workplace competences that are important to foster in formal educational settings. Previous studies have identified a relationship between self-directed learning and creativity, but the specific nature of this relationship is unclear. The purpose of the present theoretical paper is to examine…

This in-class, 75-minute exercise creates a context for students to observe some of the challenges to cross-functional collaboration and offers insight into processes to achieve more successful outcomes. By demonstrating how a failure by compliance and business operations to work cross-functionally negatively impacts outcomes in the form of…

Research into the role of individual difference (ID) factors in the process of second and foreign language (L2) learning and teaching has been one of the most robust lines of inquiry in the field of second language acquisition (SLA; Dörnyei & Ryan, 2015; Griffiths & Soruç, 2020; Pawlak & Kruk, 2022). Most of these empirical…

In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…

Self-directed learning (SDL) is widely associated with adult learning but is occasionally misunderstood. As a result, the term self-regulated learning (SRL) has been used interchangeably with SDL in literature. Based on a content analysis, this paper explores the difference between techniques of SDL and SRL and provides a basic interpretation of…

An extended (and probably unnecessary) parallel is drawn between engagement in mathematics and engagement in musical performance. Key facets of engagement are described and a model of how mathematics engagement plays out in task-level activities is discussed in light of new findings related to its social and emotional facets. Implications for…

Online and blended learning (OBL) overemphasize the process of creating artifacts, producing strategies, or otherwise utilizing a "making" orientation in education. As an alternative to this making-orientation, we offer a model for relational course design founded in the philosophies of Emmanuel Levinas and Martin Buber. We examine an…

The theory of Instrumental Genesis (IG) accounts for the mutual evolution of artefacts and their uses, for specific purposes in specific environments. IG has been used in Computer-Supported Collaborative Learning (CSCL) to explain how instruments are generated through the interactions of learners, teachers and artefacts in 'downstream' classroom…

A great deal of research on second language (L2) input has provided useful linguistic evidence for the development of generalizations about and hypotheses on the usage-based nature of L2 knowledge. However, despite the fact that classrooms are one of the most ubiquitous sites of L2 learning, we still know very little about the linguistic quality…

The author has been influenced throughout his time in mathematics education by the work of Caleb Gattegno. Gattegno made extensive use of the word awareness whereas much educational literature from a psychological perspective talks about memory (for example, Justicia-Galiano, MartÌn-Puga, Linares & Pelegrina, 2017). This has, amongst other…