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It argues that the main purpose of educational research is to improve student learning, and that international comparative studies are no exception.

Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes.

This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education.

This open access Topical Survey offers a brief overview of the current state of research on and activities for mathematically gifted students around the world.

This ICME-13 Topical Survey provides a review of recent research into statistics education, with a focus on empirical research published in established educational journals and on the proceedings of important conferences on statistics education. teachers' role in statistics education; students' role in statistics education;

and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts - what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.

This book classifies and discusses in detail the three different research periods on students' and people's intuitions and difficulties concerning probability: early research focused on cognitive development, a period of heuristics and biases programs, and the current period marked by a multitude of foci, approaches and theoretical frameworks.

This bookpresents a synopsis of six emerging themes in adult mathematics/numeracy and acritical discussion of recent developments in terms of policies, provisions, andthe emerging challenges, paradoxes and tensions.

It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation.

This ICME-13 Topical Survey reviews the state-of-the-art by first exploring the roots and scope of design science. Lastly, it explores developments in design science from a national and international perspective, while also discussing current trends in design research.

This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s.

This survey on the modernity of ethnomathematicsaddresses numerous themes related to both ethnomathematics and mathematicseducation.

This book provides an essential introduction to the state-of the-art in interdisciplinary Mathematics Education. Second, the book reviews research findings of mainly empirical studies on interdisciplinary work involving mathematics in education, in all stages of education that have become disciplined.

This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years.

This survey provides a brief and selective overview of research in the philosophy of mathematics education. It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics.

This volume shares and discusses significant new trends and developments in research and practices related to various aspects of preparing prospective secondary mathematics teachers from 2005-2015.

This survey focuses on the main trends in the field of calculus education. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.

This book records the state of the art in research on mathematics-related affect. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions.

This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice.

This book examines the kinds of transitions that have been studied in mathematics education research. It answers the question of whether there are difficulties attached to the discontinuities identified, and if so, whether the research proposes means to reduce the gap - to create a transition.

This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics.