This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Second, it presents two examples of current design science projects that focus on substantial learning environments including a student and a teacher perspective. Subsequently, the book elaborates on how empirical research can be conceptualised within design science. Lastly, it explores developments in design science from a national and international perspective, while also di...

This topical survey provides an overview of the current state of the art in technology use in mathematics education, including both practice-oriented experiences and research-based evidence, as seen from an international perspective. Three core themes are discussed: Evidence of effectiveness; Digital assessment; and Communication and collaboration.The survey’s final section offers suggestions for future trends in technology-rich mathematics education and provides a research agenda ...

If education is to prepare learners for lifelong learning, there needs to be a shift towards deeper learning: a focus on transferable knowledge and problem-solving skills alongside the development of a positive or growth mind-set. Deeper learning is inextricably linked with CLIL (Content and Language Integrated Learning) – a revolutionary teaching approach where students study subjects in a different language. Designed as a companion to the influential volume Beyond CLIL, this highly pract...

This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathemat...

This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; tran...

The best survey of cognitive linguistics available, this Handbook provides a thorough explanation of its rich methodology, key results, and interdisciplinary context. With in-depth coverage of the research questions, basic concepts, and various theoretical approaches, the Handbook addresses newly emerging subfields and shows their contribution to the discipline. The Handbook introduces fields of study that have become central to cognitive linguistics, such as conceptual mappings and constr...

This volume brings together articles written by experts in the thriving field of language teacher education from a variety of geographical and institutional contexts, with a particular focus on EFL. They address the dynamic relationship between theory and practice in language teacher education by considering teacher learning as a basis for the development of professionalism.

This open access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate various substantial learning environments that serve as typical examples. In terms of teacher education, the book provides clear information on how to combine (well-understood) mathematics and me...

'Conversation analysis' is an approach to the study of social interaction that focuses on practices of speaking that recur across a range of contexts and settings. The early studies in this tradition were based on the analysis of English conversation. More recently, however, conversation analysts have begun to study talk in a broader range of communities around the world. Through detailed analyses of recorded conversations, this book examines differences and similarities across a wide rang...

This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dörfler), and the theory of learning activity by Joachim Lompscher (presented by Regina Bruder and Oliver Schmitt). By networking the two theoretical approaches in a case study of learning fractions, it clarifies the nature of the two...

This insightful study proposes a unified theory of speech through which conflicting ideas about language might be understood. It is founded on a number of key points, such as the continuum of linguistic behaviour, extensive variation in language features, the importance of regional and social proximity to shared linguistic production, and differential frequency as a key factor in linguistic production both in regional and social groups and in text corpora. The study shows how this new ling...

Creativity matters. We want people to be more creative and admire those who are. Yet creativity is deeply puzzling. Just what is it to be creative? Why is it valuable? Who or what can be creative and how?Creativity and Philosophy is an outstanding collection of specially commissioned chapters by leading philosophers who explore these problems and many more. It provides a comprehensive and creative picture of creativity, including the following themes:creativ...