Handbook of Digital Resources in Mathematics Education

Birgit Pepin, professor (emeritus), Eindhoven University of Technology, The Netherlands & visiting professor, Norwegian University of Science & Technology, NorwayBirgit Pepin (born in Germany) has worked as a mathematics teacher and teacher educator/professor in mathematics education for nearly 40 years, in England, Norway and The Netherlands. Since June 2023 she is retired (in the Netherlands) and is now working as visiting professor in Norway. Her work and research have always linked to her international background.Her research focusses on teacher and student interaction with mathematics curriculum resources (including digital resources), teacher (curriculum) design capacity and pedagogy, and student learning in innovative environments, especially in higher mathematics education and upper secondary schooling. She has published widely in the field of (e-) curriculum resources, and teacher and student appropriation of such resources for mathematics teaching and learning, in prestigious journals (e.g., Educational Studies in Mathematics, Journal of Mathematics Teacher Education, ZDM Mathematics Education, British Education Research Journal, International Journal for Research in Undergraduate Mathematics Education, Research in Science & Technological Education, European Journal of Engineering Education, International Journal of Educational Research, Research in Mathematics Education). Her research and development projects have been carried out with support from agencies including the UK Economic and Social Research Council (ESRC), the European Union (5 EU projects), and selected Dutch national funding agencies (e.g. 4TU CEE).  Birgit has been Editor-in-Chief of an international research journal (International Journal for Research and Method in Education), and she has edited several books and special issues of international mathematics education journals (e.g., ZDM Mathematics Education; Journal for Mathematics Teacher Education; International Journal for Undergraduate Mathematics Education). Moreover, she has been on numerous international boards (e.g. DZLM-Deutsches Zentrum fuer Lehrerbildung Mathematik; British Society for Research into Learning Mathematics). Ghislaine Gueudet, professor, University Paris Saclay, UR Etudes sur les Sciences et les Techniques, FranceGhislaine Gueudet is professor in mathematics education at the University Paris-Saclay, France (Research Unit « Etudes sur les Sciences et les Techniques », www.est.universite-paris-saclay.fr/index.php/sample-page/privacy-policy/gueudet-ghislaine/) since September 2021, and was previously professor at the University of Brest (France). She is presently the director of EST, whose research concerns mathematics and science education, and the history of mathematics and science. She directed 12 PhDs in mathematics education defended since 2010, and published more than 40 articles in international research journals.One of her research subjects concerns the interactions between teachers and resources, digital resources in particular. With her colleagues Luc Trouche and Birgit Pepin, she developed the Documentational Approach to Didactics: a theoretical approach allowing to analyse the interactions between teachers and the resources they use and design for their teaching of mathematics, and the consequences of these interactions in terms of professional development in particular. Together they co-edited two collective books concerning this approach, and published more than twenty journal articles and book chapters.Ghislaine Gueudet studied the teaching and learning of mathematics with digital resources in many different contexts. With Sylvaine Besnier (France), she studied the orchestration of digital resources by Kindergarten teachers for their teaching of number. Within a research group conducted by Chantal Buteau (Canada), she studied how University Students learn programming for mathematical investigations.Since 2021 her research focuses on University Mathematics Education; she has been co-editor-in-chief of the “International Journal for Research in Undergraduate Mathematics Education” between 2019 and 2023. Jeffrey Choppin, professor, University of Rochester, USAJeffrey Choppin has been in mathematics education for over 35 years, as a secondary school mathematics teacher in Washington DC for 12 years and the last 20 years as a professor in mathematics education at the University of Rochester. His research interests have focused on the nature of classroom discourse, the interaction between teachers and curriculum materials, the impact of educational policy on classroom practice, and the professional development of mathematics teachers. Recently he has served as a principal investigator (PI) on several US National Science Foundation (NSF) funded research projects, two of which focused on supporting mathematics teachers and coaches in rural contexts in the US, while a third focused on a sustained implementation of an ambitious mathematics program in a high-need context. In past NSF-funded research projects, Choppin explored the features of curriculum materials, how those features influenced teachers’ planning and instructional practices, and what teachers learned from using curriculum materials with innovative features. His work has appeared in Journal of Mathematics Teacher Education, Mathematical Thinking and Learning, ZDM Mathematics Education, Action in Teacher Education, Educational Policy, Mathematics Education Research Journal, and Curriculum Inquiry, in addition to serving on the editorial boards for Mathematical Thinking and Learning and the Elementary School Journal. He has also served in senior leadership positions for PME-NA and the Special Interest Group for Research in Mathematics Education.

• Introduction to the handbook.- Advancing mathematics education on digital resources: a reciprocity between theory, methodology, and design.- A pragmatic approach to theorizing interdisciplinary design research on interactive math learning systems: The case of a multimodal algebra learning system with tangible user interfaces.- Networking of theories: An approach to the development and use of digital resources in mathematics education.- Theorizing a role of digital resources in promoting instructional change in mathematics departments.- How digital storyboards support the transaction of practice: The semiotic infrastructure of representations of practice.- Humans-with-media: Twenty-five years of a theoretical construct in mathematics education.- Embodied Design of Digital Resources for Mathematics Education: Theory, Methodology, and Framework of a Pedagogical Research Program.- Intertwined use of physical and digital tools in mathematics teaching and learning.- From the Web to the Mathematics Classroom: Investigating Internet Phenomena as Educational Resources in Mathematics.- Introduction to how digital resources transform content.- Computational thinking and mathematics.- Emergent technologies for developing mathematical objects-to-think-with.- Exploiting the potential of dynamic asymmetry in dragging to foster students' understanding of functions and their Cartesian graphs.- Enhancing Geometric Skills with Digital Technology: The Case of Dynamic Geometry.- Algebra education and digital resources: A long-distance relationship?.- Transforming Arithmetic Through Digital Resources.- The Role of Digital Resources in Mathematical Modelling in Extending Mathematical Capability.- Augmented reality rich environment: Designing for mathematics education.- Impacts of Digitalization on Content and Goals of Statistics Education.- The role of digital technologies in transforming student learning landscapes.- Learning Mathematics With Digital Resources: Reclaiming the Cognitive Role of Physical Movement.- Towards student agency in the selection and use of digital resources for learning and studying mathematics.- Enhancing learner communication and collaboration through digital resources: Affordances, constraints and possibilities.- Introduction to section: Impact of digital resources on teachers’ pedagogies.- Teachers’ practices with digital resources in particular mathematical domains.- Rethinking teachers’ formative assessment practices within technology-enhanced classrooms.- Teachers’ Practices in emergent digitally rich environments.- What went well, what went badly? Teachers’ and students’ perspectives on remote mathematics teaching during pandemic school closure.- Technology in University Mathematics Education.- Teachers' knowledge and capacity for using digital resources in mathematics education.- Research on teacher education and professional development that support the use of digital resources.- Introduction to how digital resources alter design landscape.- Meta-resources: supporting the design of mathematics teaching and learning.- Artificial intelligence techniques in software design for mathematics education.- Resources promoting digital tools integration: design principles.- Resource design for re-sourcing teaching.- Communities of Interest as a context for creativity in the process of designing digital media for mathematical learning.- Design of resources for and by mathematics teachers: the process of internalisation in MOOCs.- Addressing collective and individual aspects of teacher design with digital resources in collaborative settings.- Digital Curriculum Resources in Digital Mathematics Curriculum: Design Features and Implementation.- Digital assessment and the “machine”.- Evaluation of digital resources: The “how” and “what for”.- Introduction to policy issues related to the development and use of digital resources in mathematics education.- Politics of digital resources in mathematics education.- Policies and implementations for technology integration in mathematics education: perspectives from around the world.- Policies and implementation of digital resources: Theoretical considerations and illustrative cases from Greece, Israel and the US.- The Use of Digital Technologies in Teaching and Assessment.- The Politics of Computational Thinking and Programming in Mathematics Education – Comparing Curricula and Resources in England, Sweden and Denmark.