Bücher der Reihe Advances in Mathematics Education

This book opens the case on collaboration among mathematicians and mathematics educators. The authors of this book provide their research and experience based insights on collaboration to inspire the young generation of the mathematics community to engage in productive collaborations and exchange of knowledge early in their careers. These valuable collaborations are anticipated to generate innovative research questions that set new and novel paths for mathematics education research with ample possibilities yet to be realized and discovered.

This edited volume is written in memoriam of Professor Emeritus Ubiratan D¿Ambrosio (1932 ¿ 2021), who was a well-known Brazilian mathematics educator and historian of mathematics. This book explores the diverse facets of D¿Ambrosiös work as well as his legacy and the later adaptation of his ideas around the globe.It starts with a preface written by his son, Alexandre D' Ambrosio, who shares his personal experiences growing up with this father and his love for discovery. The book is then divided into four sections:Past and Future: Ubi¿s Way of Seeing Education in the PresentRoots of EthnomathematicsEthnomathematics in ActionTrends in Ethnomathematics It features diverse points of view and experiences that explore mathematics and culture from researchers in the Americas, Africa, Europe and South Asia. Chapters range from personal explorations of D¿Ambrosiös impact to broader views of his researchand work. This book forms part of the growing understanding of Ubiratan D¿Ambrosiös life, research, and the legacy he has left for millions of researchers, students and teachers worldwide. This book is appealing to anyone involved in mathematics education research as well as those interested in the history and future of mathematics education.

This book is derived from selected papers from the Fourteenth International Congress on Mathematical Education Topic Study Group 12, Teaching and Learning Statistics. It describes recent research on curriculum, pedagogy and outreach initiatives from countries as diverse as Brazil, Chile, Columbia, Denmark, Germany, the Netherlands, Spain, Sweden, Thailand, Turkey, the United Kingdom, and the United States. The book has a focus on the use of data in the teaching and learning of statistics across grade levels and begins with an overview of the status of statistics education and the use of data from seven different countries across the continents and the link between research and practice in those countries. Because it contains specific examples of the research, for example, on the ways children learn, the choice and implementation of tasks, or the role of informal inference, the book will be a great resource to those interested and involved in the teaching of statistics, curriculum developers, and statistics education researchers.

This volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers¿ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks fromthe International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.

The book Critical Mathematics Education provides Ole Skovsmose¿s recent contribution to the further development of critical mathematics education. It gives examples of learning environments, which invite students to engage in investigative processes. It discusses how mathematics can be used for identifying cases of social injustice, and it shows how mathematics itself can become investigated critically. Critical Mathematics Education addresses issues with respect to racism, oppression, erosion of democracy, sustainability, formatting power of mathematics, and banality of mathematical expertise. It explores relationships between mathematics, ethics, crises, and critique.Ole Skovsmose has published what I might call his magnum opus, a 280-page synthesis and extension of his work simply called Critical Mathematics Education. In it he brings together his deep philosophical understanding and theorisation of mathematics itself, mathematics in society from a critical perspective, and mathematics in the teaching, learning and formation of students. For the mathematics education community, especially those concerned with social justice, philosophy, critical pedagogy and the nature of mathematics this is likely to be the publishing event of the year. In this book he offers something lacking in the literature, a philosophy of applied mathematics, as well as much more. Paul Ernest, Emeritus Professor, University of Exeter, UK

This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work.The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers¿ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term.The contributorsalso provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers¿ work through their interactions with resources for teaching, held in Lyon, France.

This volume is a forward-looking intersection of Sociological perspectives on mathematics classrooms and socio-political perspectives on mathematics education.

This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators.

This volume provides readers with a broad view on the variety of issues related to the educational research and practices in the field of Creativity in Mathematics and Mathematical Giftedness.

This volume collects most recent work on the role of technology in mathematics education. It offers fresh insight and understanding of the many ways in which technological resources can improve the teaching and learning of mathematics. The first section of the volume focuses on the question how a proposed mathematical task in a technological environment can influence the acquisition of knowledge and what elements are important to retain in the design of mathematical tasks in computing environments. The use of white smart boards, platforms as Moodle, tablets and smartphones have transformed the way we communicate both inside and outside the mathematics classroom. Therefore the second section discussed how to make efficient use of these resources in the classroom and beyond. The third section addresses how technology modifies the way information is transmitted and how mathematical education has to take into account the new ways of learning through connected networks as well as new ways of teaching. The last section is on the training of teachers in the digital era. The editors of this volume have selected papers from the proceedings of the 65th, 66th and 67th CIEAEM conference, and invited the correspondent authors to contribute to this volume by discussing one of the four important topics. The book continues a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l'Étude et l'Amélioration de l'Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.

This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work.The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers¿ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term.The contributorsalso provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers¿ work through their interactions with resources for teaching, held in Lyon, France.

This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education.

This book brings together and builds on the current research efforts on adaptation, conceptualization, and theorization of Lesson Study (LS). It synthesizes and illustrates major perspectives for theorizing LS and enriches the conceptualization of LS by interpreting the activity as it is used in Japan and China from historical and cultural perspectives. Presenting the practices and theories of LS with practicing teachers and prospective teachers in more than 10 countries, it enables the reader to take a comparative perspective. Finally, the book presents and discusses studies on key aspects of LS such as lesson planning, post-lesson discussion, guiding theories, connection between research and practice, and upscaling.Lesson Study, which has originated in Asia as a powerful effective professional development model, has spread globally. Although the positive effects of lesson study on teacher learning, student learning, and curriculum reforms have been widely documented, conceptualization of and research on LS have just begun to emerge. This book, including 38 chapters contributed by 90 scholars from 21 countries, presents a truly international collaboration on research on and adaptation of LS, and significantly advances the development of knowledge about this process.Chapter 15: "How Variance and Invariance Can Inform Teachers' Enactment of Mathematics Lessons" of this book is available open access under a CC BY 4.0 license at link.springer.comTheory and Practice of Lesson Study in Mathematics: An International Perspective shows that the power of Lesson Study to transform the role of teachers in classroom research cannot be explained by a simple replication model. Here we see Lesson Study being successful internationally when its key principles and practices are taken seriously and are adapted to meet local issues and challenges. (Max Stephens, Senior research fellow at The University of Melbourne)It works. Instruction improves, learning improves. Wide scale? Enduring? Deep impact? Lesson study has it. When something works as well as lesson study does, while alternative systems for improving instruction fail, or only succeed on small scale or evaporate as quickly as they show promise, it is time to understand how and why lesson study works. This volume brings the research on lesson study together from around the world. Here is what we already know and here is the way forward for research and practice informed by research. It is time to wake up and pay attention to what has worked so well, on wide scale for so long.(Phil Dara, A leading author of the Common Core State Standards of Mathematics in the U.S.)

This volume is a forward-looking intersection of Sociological perspectives on mathematics classrooms and socio-political perspectives on mathematics education.

This volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators.

This book reviews the Teacher Education and Development Study: Learning to Teach Mathematics, which tested 23,000 primary and secondary level math teachers from 16 countries on content knowledge and asked their opinions on beliefs and opportunities to learn.

This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education.

This overview of developing international practice in mathematics education is a major contribution to the multinational debate on curriculum reform. It gives educators and policy makers a wealth of detail on national systems at varying stages in the process.

This volume provides a necessary, current and extensive analysis of probabilistic thinking from a number of mathematicians, mathematics educators, and psychologists.

This book is the fruit of a symposium in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both.

This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies.

This book connects seminal work in affect research and moves forward to provide a developing perspective on affect as the "decisive variable" of the mathematics classroom.

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers¿ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction.Classroom instruction is commonly seen as one of the key factors contributing to students¿ learning of mathematics, but much remains to be understood about teachers¿ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems.Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including:- Identifying what is important in mathematics for teaching and learning emphasized in different approaches;- Exploring how students¿ learning is considered and facilitated through different approaches and practices;- Understanding the nature of various approaches that are valued in different systems and cultural contexts;- Probing culturally valued approaches in identifying and evaluating effective instructional practices.The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teachereducators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems.It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

This volume provides readers with a broad view on the variety of issues related to the educational research and practices in the field of Creativity in Mathematics and Mathematical Giftedness.

This volume provides essential guidance for transforming mathematics learning in schools through the use of innovative technology, pedagogy, and curriculum. It presents clear, rigorous evidence of the impact technology can have in improving students learning.

This book emanated primarily from concerns that the mathematical capabilities of young children continue to receive inadequate attention in both the research and instructional arenas.

The publication of this Springer volume on equity in mathematics education is situated at a time when there is strong and sustained research evidence indicating the persistence of an equity gap in mathematics, which has now enabled the mathematics education community to engage in a discourse of access for all.