With a forward-looking and problem-solving mindset, this article aims to combine theoretical knowledge and empirical evidence from different schools of thought in the field of second language (L2) learning and teaching--namely, instructed second language acquisition, generative linguistics, and an ecological perspective that includes multiple…

Purpose: The purpose of this article is to describe the similarities between abductive reasoning and entrepreneurial learning processes in order to contribute to the conceptual understanding of learning as an entrepreneurial process in itself. Design/methodology/approach: The research is theoretically rooted in a conceptual development of the…

The educational benefits of challenge- or problem-based approaches to learning are now well established. Action Research (AR) and Action Learning (AL) together provide educators with an ethic, a research methodology and a pedagogical strategy for harnessing and developing the motive power of purposeful activity for reflective enquiry in teaching…

This article is an advanced theoretical study as a result of a chapter from the first author's PhD study. The aim of the article is to discuss the relationship between commognition and the Van Hiele theory for studying discourse during Euclidean geometry problem-solving. Commognition is a theoretical framework that can be used in mathematics…

Tailoring workshop (TW), a school-based teacher training program, has been developed in China on the basis of the Teaching Research Groups (TRGs) to better focus on teacher's genuine needs, improve their problem-solving ability, and inter-subject collaboration. Literature on teacher workshops predominately roots in western settings whereas scant…

This paper aims to discuss the use of Brousseau's Theory of Didactical Situations in mathematics (TDS) for eighth-graders to explore the concept of triangle inequality in Euclidean geometry. Data sources included observation notes, video recordings of lessons, and students' written work. Data analysis was done through a deductive content analysis…

This work presents a discussion about the Didactic Training Engineering (EDF) methodology, of French origin, emphasizing the role of the teacher, during his initial or continuous training, through the conception and structuring of a didactic situation, organized by such methodology and based on the Theory of Didactic Situations (TSD). Therefore,…

This paper draws on a recent study of teaching experiments in a Danish gymnasium (upper secondary school) context. The aim of the study was to afford students time to devise creative solutions to specific problems in each subject area. For the purposes of the study, abductive reasoning, applied to ordinary subjects in the classroom in a high…

We argue that dialogic theory, inspired by the Russian scholar Mikhail Bakhtin, has a distinct contribution to the analysis of the genesis of understanding in the mathematics classroom. We begin by contrasting dialogic theory to other leading theoretical approaches to understanding conceptual development in mathematics influenced by Jean Piaget…

The paper analyzes a collaborative learning process among Finnish pre-service teachers planning their own learning in a self-regulated way. The study builds on cultural-historical activity theory and the theory of expansive learning, integrating for the first time an analysis of learning actions and an analysis of types of interaction. We examine…

Linear algebra is a basic mathematical subject taught in mathematics and science depar-tments of universities. The teaching and learning of this course has always been difficult. This study aims to contribute to the research in linear algebra education, focusing on linear dependence and independence concepts. This was done by introducing…

The development of flexible, transferable problem-solving skills is an important aim of contemporary educational systems. Since processing limitations of our mind represent a major factor influencing any meaningful learning, the acquisition of flexible problem-solving skills needs to be based on known characteristics of our cognitive architecture…

Over the last few years, cognitive load theory has progressed and advanced rapidly. The articles in this special issue, which document those advances, are based on contributions to the 3rd International Cognitive Load Theory Conference (2009), Heerlen, The Netherlands. The articles of this special issue on cognitive load theory discuss new…

The most important factor influencing learning is what the learner already knows, and new material must be organized and integrated with this if effective learning and recall are to result. External factors such as repetition, contiguity, and reinforcement play a significant role for some types of learning. (Author/LBH)

The general hypotheses derived from a series of six experiments in instructional theory were as follows: that the individually optimal reading sequence of juxtaposed, but mutally related, prose text depends on learning goal and pre-knowledge; that adult learners are able to approach this reading sequence through their own decisions; and that…