European Traditions in Didactics of Mathematics

European Traditions in Didactics of Mathematics
Author: Werner Blum,Michèle Artigue,Maria Alessandra Mariotti,Rudolf Sträßer,Marja Van den Heuvel-Panhuizen
Publsiher: Springer
Total Pages: 212
Release: 2019-02-18
ISBN: 3030055140
Category: Education
Language: EN, FR, DE, ES & NL

European Traditions in Didactics of Mathematics Book Excerpt:

This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

European Traditions in Didactics of Mathematics

European Traditions in Didactics of Mathematics
Author: Werner Blum,Michèle Artigue,Maria Alessandra Mariotti,Rudolf Sträßer,Marja Van den Heuvel-Panhuizen
Publsiher: Springer
Total Pages: 212
Release: 2019-03-15
ISBN: 9783030055134
Category: Education
Language: EN, FR, DE, ES & NL

European Traditions in Didactics of Mathematics Book Excerpt:

This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.

European Traditions in Didactics of Mathematics

European Traditions in Didactics of Mathematics
Author: Marja van den Heuvel-Panhuizen,Rudolf Sträßer,Michèle Artigue
Publsiher: Unknown
Total Pages: 214
Release: 2020-10-08
ISBN: 9781013271861
Category: Education
Language: EN, FR, DE, ES & NL

European Traditions in Didactics of Mathematics Book Excerpt:

This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Eastern European Mathematics Education in the Decades of Change

Eastern European Mathematics Education in the Decades of Change
Author: Alexander Karp
Publsiher: Springer Nature
Total Pages: 305
Release: 2020-05-04
ISBN: 3030387445
Category: Education
Language: EN, FR, DE, ES & NL

Eastern European Mathematics Education in the Decades of Change Book Excerpt:

This contributed volume is devoted to the recent history and evolution of mathematics education in Eastern Europe, exploring how it was influenced by social and political changes in this part of the world. Despite the broad recognition of the importance of these changes, little scholarship exists that examines the ways in which they were followed by changes in the teaching of mathematics in the post-socialist countries. Indeed, the analyzed processes are complex and vary across the states. Accordingly, this book touches on many factors--including differences in cultures and traditions – that find expression in the teaching of mathematics. Specifically, this volume seeks to explore what changes there were in education in general and in the position of mathematics in school education in these years, and how these changes may be explained and documented; what changes there were in the content of mathematics education and its assessment, and how were they motivated and adopted; what new textbooks appeared and what new methodological ideas were offered in them; how and why mathematics teacher education and/or professional development changed; what was the role (if any) of foreign influences on mathematics education, etc.The book will be of interest to both researchers in mathematics education and practitioners-teachers, as well as a broader audience of historians and educators exploring the political aspects of education.

Proceedings of the 13th International Congress on Mathematical Education

Proceedings of the 13th International Congress on Mathematical Education
Author: Gabriele Kaiser
Publsiher: Springer
Total Pages: 766
Release: 2017-10-31
ISBN: 3319625977
Category: Education
Language: EN, FR, DE, ES & NL

Proceedings of the 13th International Congress on Mathematical Education Book Excerpt:

This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.

Research and Development in University Mathematics Education

Research and Development in University Mathematics Education
Author: Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw
Publsiher: Routledge
Total Pages: 262
Release: 2021-04-16
ISBN: 1000369242
Category: Education
Language: EN, FR, DE, ES & NL

Research and Development in University Mathematics Education Book Excerpt:

In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Global Perspectives and Practices for Reform Based Mathematics Teaching

Global Perspectives and Practices for Reform Based Mathematics Teaching
Author: Kartal, Ozgul,Popovic, Gorjana,Morrissey, Susie
Publsiher: IGI Global
Total Pages: 378
Release: 2022-04-22
ISBN: 179989424X
Category: Education
Language: EN, FR, DE, ES & NL

Global Perspectives and Practices for Reform Based Mathematics Teaching Book Excerpt:

Reform-based mathematics has become a popular topic in the education field as this teaching emphasizes classroom discourse and instructional goals related to student engagement and an understanding of mathematical reasoning, concepts, and procedures using instructional practices that build on students’ informal knowledge of mathematics. It also connects mathematics with other disciplines and the real world and provides opportunities for students to contribute and invent their own methods during problem-solving. Further study on the best practices, benefits, and challenges of implementing this teaching into education is required. Global Perspectives and Practices for Reform-Based Mathematics Teaching explores international perspectives on diverse reform-based practices in teaching and learning mathematics, describes challenges and issues for teachers and teacher educators, promotes reflection and academic discussion at various levels and in various educational systems, and raises questions for the field of mathematics education. Covering a range of topics such as teacher preparation programs and integrated learning spaces, this reference work is ideal for academicians, practitioners, researchers, instructors, educators, and students.

Mathematical Modelling Education in East and West

Mathematical Modelling Education in East and West
Author: Frederick Koon Shing Leung,Gloria Ann Stillman,Gabriele Kaiser,Ka Lok Wong
Publsiher: Springer Nature
Total Pages: 666
Release: 2021-04-26
ISBN: 3030669963
Category: Education
Language: EN, FR, DE, ES & NL

Mathematical Modelling Education in East and West Book Excerpt:

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 provides a 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. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy.

European and Chinese Cognitive Styles and their Impact on Teaching Mathematics

European and Chinese Cognitive Styles and their Impact on Teaching Mathematics
Author: Filippo Spagnolo,Benedetto Di Paola
Publsiher: Springer Science & Business Media
Total Pages: 300
Release: 2010-04-22
ISBN: 3642116795
Category: Computers
Language: EN, FR, DE, ES & NL

European and Chinese Cognitive Styles and their Impact on Teaching Mathematics Book Excerpt:

The book provides strong evidence that research on the cognitive processes from arithmetic thought to algebraic thought should take into consideration the socio-cultural context. It is an important contribution to the literature on linguistic structure in comparative studies related to Chinese student mathematics learning. This book not only makes a great contribution to research in mathematics education, the findings of this study also addressed insightful approaches and thoughts of understanding the development of algebraic thinking in cultural contexts for classroom teachers. Using written Chinese language from different theoretical references provided wonderful approaches for understanding student algebra cognitive development in a different way and calls educators for to pay special attention to an epistemological and linguistic view of algebraic development. The findings inform classroom teachers that the cultural context plays an important role in student learning mathematics. A typical analysis of the cognitive dimension involved in some in the historical and cultural contexts is a great resource for classroom teachers. I really enjoyed reading this book and learned a lot from its compelling analysis. Shuhua An, Associate Professor and Director of Graduate Program in Mathematics Education, California State University, Long Beach

International Perspectives on Teacher Knowledge Beliefs and Opportunities to Learn

International Perspectives on Teacher Knowledge  Beliefs and Opportunities to Learn
Author: Sigrid Blömeke,Feng-Jui Hsieh,Gabriele Kaiser,William H. Schmidt
Publsiher: Springer Science & Business Media
Total Pages: 592
Release: 2013-09-09
ISBN: 9400764375
Category: Education
Language: EN, FR, DE, ES & NL

International Perspectives on Teacher Knowledge Beliefs and Opportunities to Learn Book Excerpt:

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.

International Perspectives on Mathematics Teacher Education

International Perspectives on Mathematics Teacher Education
Author: Denisse R Thompson,Christine Suurtamm,Mary Ann Huntley
Publsiher: IAP
Total Pages: 253
Release: 2021-09-01
ISBN: 1648026311
Category: Education
Language: EN, FR, DE, ES & NL

International Perspectives on Mathematics Teacher Education Book Excerpt:

Mathematics teacher education includes the mathematics content teachers need to understand, ways that pedagogical approaches are developed, messages about the nature of mathematics teaching and learning, and interfaces between tertiary preparation and school contexts. Scholars from Sweden, France, Malawi, Singapore, New Zealand, Brazil, the USA, and Canada provide insights for the mathematics education community’s understanding of how teacher educators structure, develop, and implement their respective mathematics teacher education programs. Several themes emerged across the chapters, including: varied approaches to developing culturally responsive pedagogies and/or Indigenous perspectives; issues and challenges in fostering partnerships and collaborations; strategies for developing mathematics knowledge for teaching; and preparing flexible and resourceful teachers. Praise for International Perspectives on Mathematics Teacher Education: "International Perspectives on Mathematics Teacher Education explores different facets of mathematics teacher education in eight countries across five continents. The authors and editors answer important questions and open the door to critical conversations about policies and practices related to mathematics teacher recruitment, preparation, and professional development, among other topics. Every reader will develop new perspectives as they learn how one institution is engaging with Indigenous perspectives while other countries struggle with an insufficient supply of certified teachers. This book clearly demonstrates challenges, constraints, nuances and complexities to initiating and maintaining improvement across systems to enhance the work and spaces of mathematics teachers within different historical, cultural, social, and political contexts. This volume also generates ideas and opportunities for leaders, policymakers, and teacher educators to consider and learn from international colleagues about different approaches to mathematics teacher education practice and policy. Undoubtedly, debates about standards, content and experiences in programs, and accountability structures such as accreditation will continue. It is clear from the insights in this volume that strengthening mathematics teacher education will require stronger collaborations, frameworks, policies, infrastructure, and investments on a global scale and it will be critical to collaborate with and learn from colleagues in international settings. These conversations will require reciprocity, interdependence, and resilience as we pursue the ultimate goal of equipping the field of mathematics teacher education." Kathryn Chval Dean, College of Education Professor of Mathematics Education University of Illinois Chicago

Financial Numeracy in Mathematics Education

Financial Numeracy in Mathematics Education
Author: Annie Savard,Alexandre Cavalcante
Publsiher: Springer Nature
Total Pages: 108
Release: 2021-08-27
ISBN: 3030735885
Category: Education
Language: EN, FR, DE, ES & NL

Financial Numeracy in Mathematics Education Book Excerpt:

This book presents the important role of mathematics in the teaching of financial education. Through a conceptualization of financial numeracy as a social practice, it focuses on the teaching practices, resources, and needs of secondary mathematics teachers (grades 7-12) to incorporate financial concepts in their classes. The editors and authors bring forth a novel perspective regarding mathematics education in the digital era. By focusing on financial numeracy, a key component of skills required in the digital era, they discuss important issues related to the teaching and learning of mathematics and finance. In contrary to most research in the field of financial education coming from scholars in areas such as business, accounting, management and economics, this book introduces the contribution of researchers from the field of education to the debate. The book appeals to an international audience composed of researchers, stakeholders, policymakers, teachers, and teacher educators.

Teachers Talking about their Classrooms

Teachers Talking about their Classrooms
Author: Carmel Mesiti,Michèle Artigue,Hilary Hollingsworth,Yiming Cao,David Clarke
Publsiher: Routledge
Total Pages: 374
Release: 2021-07-15
ISBN: 100036979X
Category: Education
Language: EN, FR, DE, ES & NL

Teachers Talking about their Classrooms Book Excerpt:

Different communities, speaking different languages, employ different naming systems to describe the events, actions, and interactions of the mathematics classroom. The International Classroom Lexicon Project documented the professional vocabulary available to middle-school mathematics teachers in Australia, Chile, China, the Czech Republic, Finland, France, Germany, Japan, Korea, and the United States. National teams of researchers and experienced teachers used a common set of classroom videos to stimulate recognition of familiar terms describing aspects of the mathematics classroom. This book details the existing professional vocabulary in each international community by which mathematics teachers conceptualise their practice, and explores the characteristics, structures, and distinctive features of each national lexicon. This book has the potential to enrich the professional vocabulary of mathematics teachers around the world by providing access to sophisticated classroom practices named by teachers in different countries. This one volume offers separate, individual lexicons developed from empirical research, the capacity to juxtapose such lexicons, and an unmatched opportunity to highlight the cultural, historical, and linguistic bases of teachers' professional language.

Mathematics Curriculum Teacher Professionalism and Supporting Policies in Korea and the United States

Mathematics Curriculum  Teacher Professionalism  and Supporting Policies in Korea and the United States
Author: National Academies of Sciences, Engineering, and Medicine,Policy and Global Affairs,Board on International Scientific Organizations,U.S. National Commission on Mathematics Instruction
Publsiher: National Academies Press
Total Pages: 102
Release: 2015-10-21
ISBN: 0309374391
Category: Education
Language: EN, FR, DE, ES & NL

Mathematics Curriculum Teacher Professionalism and Supporting Policies in Korea and the United States Book Excerpt:

On July 15-17, 2012 the United States National Commission on Mathematics Instruction and Seoul National University held a joint Korea-U.S. workshop on Mathematics Teaching and Curriculum. The workshop was organized to address questions and issues related to math teaching and curriculum that were generated by each country, including the following: What are the main concerns in the development of the curriculum? What issues have been discussed or debated among curriculum developers, teachers, teacher educators, and scholars regarding the curriculum? How have textbooks been developed for the curriculum? How are curricular tasks designed and what criteria are used? What is the role of learning trajectories in the development of curriculum? This report summarizes the presentations and discussions at the workshop.

Theorizing Teaching and Learning in Asia and Europe

Theorizing Teaching and Learning in Asia and Europe
Author: John Chi-Kin Lee,Kerry J. Kennedy
Publsiher: Taylor & Francis
Total Pages: 326
Release: 2017-03-27
ISBN: 1317616553
Category: Education
Language: EN, FR, DE, ES & NL

Theorizing Teaching and Learning in Asia and Europe Book Excerpt:

There has been much debate in recent times between the Anglo American tradition of curriculum studies and the Continental and North European tradition of didactics (Didaktik). As important as such debate has been, this book seeks to add new voices to the debate representing ideas and traditions from a different part of the world. The focus is on Chinese curriculum thinking that has passed through a number of stages and currently represents a blend of some aspects of the American tradition and Chinese cultural traditions. How does Chinese thinking about curriculum, teaching and learning resonate with European didactic traditions and what are the implications for theorizing an expanded field of curriculum studies? This book deliberately transcends borders and cultures to explore new territory, to provide a platform for open dialogue and to open up new areas of investigation Chapters include, Curriculum Reform and Research in China: A Social-Historical Perspective What Mathematics Did Teachers Learn? Comparison of the School and the Pre-Service Teacher Mathematics Curricula in Germany and Taiwan Living in Parallel Worlds: A Transatlantic Dialogue between General Didactics and Instructional Design

The African Mother Tongue and Mathematical Ideas

The African Mother Tongue and Mathematical Ideas
Author: Abdul Karim Bangura
Publsiher: Vernon Press
Total Pages: 402
Release: 2020-06-02
ISBN: 1622739515
Category: Education
Language: EN, FR, DE, ES & NL

The African Mother Tongue and Mathematical Ideas Book Excerpt:

This book by renowned scholar Dr Abdul Karim Bangura combines linguistics and mathematics to show how and why African-centred mathematical ideas can be a driving force in Africa’s development efforts. Bangura explores the concept that Africa has been the centre of the History of Mathematics for thousands of years, as the civilizations that emerged across the continent developed contributions which would enrich both ancient and modern understanding of nature through mathematics. However, scholars and other professionals working in the field of mathematics education in Africa have identified a plethora of issues in carrying out their tasks. This is highlighted by one of the most compelling arguments in the book, which is that a major reason for these problems is the fact that the African mother tongues has been greatly neglected in the teaching of mathematics in the continent. Bangura asserts that a change has to be made in order for Africa to benefit from the exceptional opportunities mathematics offer, showing that, even if there is a great body of work connecting linguistics and mathematics, few analyses have been performed on the link between African languages and mathematics—and the ones that have been made are not theoretically-grounded on linguistics. Thus, the book begins by identifying the objects of study of linguistics and mathematics, and delineates which ones they have in common. Next, since the object of study of linguistics is language, the nine design features of language are employed to examine each of the objects as it pertains to African languages. After that, mathematical ideas of sustainability and those of tipping points are suggested as means to help Africa’s development efforts.

Third International Handbook of Mathematics Education

Third International Handbook of Mathematics Education
Author: M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung
Publsiher: Springer Science & Business Media
Total Pages: 1120
Release: 2012-11-15
ISBN: 1461446848
Category: Mathematics
Language: EN, FR, DE, ES & NL

Third International Handbook of Mathematics Education Book Excerpt:

The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

National Reflections on the Netherlands Didactics of Mathematics

National Reflections on the Netherlands Didactics of Mathematics
Author: Marja Van den Heuvel-Panhuizen
Publsiher: Springer Nature
Total Pages: 348
Release: 2020-01-06
ISBN: 303033824X
Category: Education
Language: EN, FR, DE, ES & NL

National Reflections on the Netherlands Didactics of Mathematics Book Excerpt:

This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, consists of 17 chapters, in which educators from the Netherlands reflect on the teaching and learning of mathematics in their country and the role of the Dutch domain-specific instruction theory of Realistic Mathematics Education. Written by mathematics teachers, mathematics teacher educators, school advisors, and developers and researchers in the field of instructional material, textbooks, and examinations, the book offers a multitude of perspectives on important issues in Dutch mathematics education, both at primary and secondary school levels. Topics addressed include the theoretical underpinnings of the Dutch approach, the subject of mathematics in the Dutch educational system, teacher education and testing, the history of mathematics education and the use of history in teaching of mathematics, changes over time in subject matter domains and in the use of technology, and the process of innovation and how the Dutch and in particular one Dutch institute have worked on the reform.

Routledge International Companion to Education

Routledge International Companion to Education
Author: Miriam Ben-Peretz,Sally Brown,Bob Moon
Publsiher: Routledge
Total Pages: 1024
Release: 2004-04-28
ISBN: 1134815824
Category: Education
Language: EN, FR, DE, ES & NL

Routledge International Companion to Education Book Excerpt:

The Routledge International Companion to Education addresses the key issues underpinning the rethinking and restructuring of education at the beginning of the new millennium. The volume contains over fifty major contributions exploring a wide range of issues, including: * philosophy of education * the economics and resourcing of education * testing and assessment: current issues and future prospects * standards * multiculturalism * anti-racism * computers in classrooms * mother tongue education * civics and moral education. Each chapter gives a contemporary account of developments in the field, and looks to the future and the directions that new activity and inquiry are likely to take. All the chapters are written from an international perspective.

Traditions in German Speaking Mathematics Education Research

Traditions in German Speaking Mathematics Education Research
Author: Hans Niels Jahnke,Lisa Hefendehl-Hebeker
Publsiher: Springer
Total Pages: 278
Release: 2019-02-13
ISBN: 3030110699
Category: Education
Language: EN, FR, DE, ES & NL

Traditions in German Speaking Mathematics Education Research Book Excerpt:

This open access book shares revealing insights into the development of mathematics education research in Germany from 1976 (ICME 3 in Karlsruhe) to 2016 (ICME 13 in Hamburg). How did mathematics education research evolve in the course of these four decades? Which ideas and people were most influential, and how did German research interact with the international community? These questions are answered by scholars from a range of fields and in ten thematic sections: (1) a short survey of the development of educational research on mathematics in German speaking countries (2) subject-matter didactics, (3) design science and design research, (4) modelling, (5) mathematics and Bildung 1810 to 1850, (6) Allgemeinbildung, Mathematical Literacy, and Competence Orientation (7) theory traditions, (8) classroom studies, (9) educational research and (10) large-scale studies. During the time span presented here, profound changes took place in German-speaking mathematics education research. Besides the traditional fields of activity like subject-matter didactics or design science, completely new areas also emerged, which are characterized by various empirical approaches and a closer connection to psychology, sociology, epistemology and general education research. Each chapter presents a respective area of mathematics education in Germany and analyzes its relevance for the development of the research community, not only with regard to research findings and methods but also in terms of interaction with the educational system. One of the central aspects in all chapters concerns the constant efforts to find common ground between mathematics and education. In addition, readers can benefit from this analysis by comparing the development shown here with the mathematical education research situation in their own country.