This article uses a cultural-developmental framework to illuminate the interplay between collective and individual activity in the mathematical reasoning displayed in a university Masters level lesson on fractals. During whole class and small group discussions, eleven students, guided by an instructor, engage in inductive reasoning about the area…

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…

The study examines language dimensions of mathematical word problems and the classification of mathematical word problems according to these dimensions with unsupervised machine learning (ML) techniques. Previous research suggests that the language dimensions are important for mathematical word problems because it has an influence on the…

This paper describes how fifth-grade English Learner students (ELs) in an urban school district develop the mathematics register during a problem-solving lesson. It provides examples of students' work to illustrate how they use the mathematics register to communicate their mathematical ideas orally and in writing. The teacher implemented teaching…

While information theory is typically considered in the context of modern computing and engineering, its core mathematical principles provide a potentially useful lens through which to consider human language. Like the artificial communication systems such principles were invented to describe, natural languages involve a sender and receiver, a…

Despite a cognitive disadvantage when interpreting into one's B language, strategy use and awareness of norms allow interpreters to be resourceful and efficient in achieving communicative goals. There is a need to incorporate strategy training in interpreter education, especially when teaching into-B interpreting. However, strategy taxonomies…

This thesis examines children's thinking, learning and metacognition when designing their own computer games. The study aims to understand more about what kind of learning takes place, and how it emerges whilst children are authoring their own computer games. The aim is to get an insight into the cognitive processes students exercise that…

Entropy is a central concept in thermodynamics, but has been found to be challenging to students due to its abstract nature and the fact that it is not part of students' everyday language. Interviews with three pairs of engineering students (N = 6) were conducted and video recorded regarding their interpretation and use of the entropy concept, one…

In this review, we explore the notion of teaching science to English language learners (ELLs) as a balancing act between simultaneously focusing on language and content development, on the one hand, and between structuring instruction and focusing on student learning processes, on the other hand. This exploration is conducted through the lens of a…

This paper focuses on an inferential view on introducing new concepts in mathematics classrooms. A theoretical framework is presented which helps to analyse and reflect on the processes of teaching and learning mathematical concepts. The framework is based on the philosophies by Ludwig Wittgenstein and Robert Brandom. Wittgenstein's language-game…

This study demonstrates the understandings that result from teachers' explanations of how they learn when they encounter everyday situations that evoke their learning. The study renders these explanations as a framework for further research on teacher workplace learning in informal settings. The framework emerged from a constant-comparative…