Gabriele Kaiser – författare

This edited volume provides readers with a snapshot of some of the current thinking on mathematical modelling education. It focuses on the relationship between cognitive and metacognitive activities and student approaches to attempting to solve real-world modelling problems.

This book presents a focused review of some current thinking and research on mathematical modelling education focusing on the relationship between cognitive and metacognitive activities and secondary student approaches to attempting to solve real-world modelling problems. The results of the review highlight areas where theoretical constructs are well advanced and point to areas where development and empirical confirmation are required. Four empirical studies showcase both qualitative and quantitative studies, providing recent findings resulting from a cognitive analysis of student modelling activity in classroom settings or under test conditions. Solving of data-rich modelling tasks, using strategic knowledge about drawing during modelling activities, connecting metacognitive individual strategies, metacognitive group strategies and modelling competencies, and the activation and nurturing of students’ mathematical thinking during the solution of a design problem are considered.

The book will be of interest to researchers, teachers and teacher educators and curriculum and educational policy writers. It was originally published as a special issue of Mathematical Thinking and Learning.

This edited volume provides readers with a snapshot of some of the current thinking on mathematical modelling education. It focuses on the relationship between cognitive and metacognitive activities and student approaches to attempting to solve real-world modelling problems.

This book presents a focused review of some current thinking and research on mathematical modelling education focusing on the relationship between cognitive and metacognitive activities and secondary student approaches to attempting to solve real-world modelling problems. The results of the review highlight areas where theoretical constructs are well advanced and point to areas where development and empirical confirmation are required. Four empirical studies showcase both qualitative and quantitative studies, providing recent findings resulting from a cognitive analysis of student modelling activity in classroom settings or under test conditions. Solving of data-rich modelling tasks, using strategic knowledge about drawing during modelling activities, connecting metacognitive individual strategies, metacognitive group strategies and modelling competencies, and the activation and nurturing of students’ mathematical thinking during the solution of a design problem are considered.

The book will be of interest to researchers, teachers and teacher educators and curriculum and educational policy writers. It was originally published as a special issue of Mathematical Thinking and Learning.

Accumulated research findings in past decades have led to the common knowledge that teachers’ professional knowledge is essential to effective classroom instruction. However, there is still very limited understanding about the nature of teachers’ expertise in mathematics instruction. Expertise in Mathematics Instruction addresses this need clearly and concisely. In particular, it examines all aspects of emphases employed to characterize the nature of expertise in mathematics instruction from both researchers’ and practitioners’ perspectives. Moreover, with research contributions from both the East and the West, this book also examines ideas pertinent to fostering and demonstrating expertise in mathematics instruction within different system contexts. This book will raise questions and issues for mathematics education researchers to guide a critical examination of what can be learned from other education systems.

Expertise in Mathematics Instruction builds on its theoretical and methodological approach with contributions from international experts in the field. Additionally, a review of related research from mathematics education serves as an introduction to the new research in both Eastern and Western settings. Concluding this resource is a reflection on the benefits of this international collaboration and possible research directions for the future. The final chapter cohesively joins traditional and current research for action.

Expertise in Mathematics Instruction is of interest to researchers in mathematics education, mathematics teacher educators, and mathematics educators.

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large.

Mathematical tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China.

Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications.

The book providesa dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms.

This edited volume documents research on mathematical modelling education, before, during, and after the Covid 19 pandemic. Mathematical modelling is essential for understanding natural and human generated phenomena, and informs decision-making about events such as the pandemic, climate change, and other disruptive events. Communication to the public, often by the media, makes use of mathematical modelling to justify changes to public policy, as seen during the COVID-19 crisis. Consequently, mathematical modelling has assumed an increasingly prominent role in curricula internationally, providing opportunities to understand how it is used in current circumstances and to plan for the needs of future societies. This book focuses on research on mathematical modelling education and its implementation at school and tertiary level. Contributions to the book and point to directions for further innovation in mathematical modelling education.

Authors of this volume are members of the International Community of Teachers of Mathematical Modelling, the peak research body for the teaching and learning of mathematical modelling.