This handbook presents the state-of-the art scholarship on theoretical frames, mathematical content, learning environments, pedagogic practices, teacher professional learning, and policy issues related to the development and use of digital resources in mathematics education.
With the advent of more and more open access digital resources, teachers choose from the web what they see fit for their classroom; students choose ‘in the moment’ what they need for their projects and learning paths. However, educators and students often find it difficult to choose from the abundance of materials on offer, as they are uncertain about their quality and beneficial use. It is clear that at a time of bouleversement of the teaching-learning processes, it is crucial to understand the quality and the (potentially) transformative aspects of digital resources. This book provides comprehensive analyses of and insights into the transformative aspects of digital resources.
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.
Birgit Pepin, professor (emeritus), Eindhoven University of Technology, The Netherlands & visiting professor, Norwegian University of Science & Technology, Norway
Birgit 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, France
Ghislaine 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/gueud et-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, USA
Jeffrey 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.
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