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…

This article provides a conceptual review of the principles of input spacing as they might relate specifically to oral task repetition research and presents some of the common methodological considerations from the broader input spacing literature. The specific considerations discussed include the interaction between intersession intervals and…

This article interlaces the story 'Comfort' by Alice Munro with Hannah Arendt's understanding of education as intergenerational passing on. Its principal aim is not to criticise Arendt or the fictional character of Lewis but to work with them towards a richer and more complex understanding of what can go wrong in education in general and teaching…

Play is an essential component of childhood, but parents and educators sometimes view it as an optional add-on, which gets in the way of learning. This view persists in spite of evidence that play is helpful and sometimes critical to learning in multiple domains, perhaps because precise mechanisms whereby play occasions learning are not well…

In higher education, educators establish complex learning outcomes for students to achieve during their collegiate studies. These outcomes, given their complexity, necessitate an advanced approach to studying the teaching and learning process as it unfolds in real time. We brought together extant literature and our own research experience studying…

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…

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…

The brain alone is a complex organ in which all sensory, intellectual, emotional, and intuitive perceptions take place. Today, one of the research challenges in teaching-learning science is the answer to the question of how much the application of findings from neuroscience studies on learning can be effective in improving the quality of…

This article describes the contours of hermeneutical learning in the context of religious education. Hermeneutical learning is firstly distinguished from monoreligious learning and multireligious learning. Hermeneutical learning is based on a triple hermeneutic task: interpretation of text, context and the biography of the student, and avoids both…

Humans are inherently emotional creatures due to our social nature, and emotions are able to influence how well we learn and even affect academic outcomes. Emotions are rarely a chief concern in educational settings, and we will discuss the mechanisms underlying how emotions are processed in the brain and how they influence the key aspects of…

A subject of growing interest in mathematics education is the affective domain and its effects on the teaching and learning processes, giving rise to different models of its components and conditioning factors. In this paper, we apply the ontological and semiotic categories from the Onto-Semiotic Approach (OSA) to research in mathematics…

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…

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…

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 "social turn" in second language acquisition brings into focus the concept of identity that captures the relationship between the language learner and the social world (Norton, 2000, 2013). This paper presents an overview of the issues related to identity development of language learners in study abroad and online intercultural…