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Mathematical Competencies in the Digital Era

  • Analyses the use of the Danish Mathematical Competencies (KOM) Framework in the Digital Era

  • Applying the potential of “networking” the competencies framework to Digital Technologies in mathematics

  • Introduces a resource that intersects the networking of theories with digital technologies, mathematical competencies

Part of the book series: Mathematics Education in the Digital Era (MEDE, volume 20)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xii
  2. Mathematical Competencies in the Digital Era: An Introduction

    • Uffe Thomas Jankvist, Eirini Geraniou, Mathilde Kjær Pedersen, Cecilie Carlsen Bach, Rikke Maagaard Gregersen
    Pages 1-12
  3. Setting the Scene

    1. Front Matter

      Pages 13-13
    2. The Mathematical Competencies Framework and Digital Technologies

      • Eirini Geraniou, Morten Misfeldt
      Pages 39-60
  4. The Eight Mathematical Competencies

    1. Front Matter

      Pages 61-61
    2. Mathematical Competencies Framework Meets Problem-Solving Research in Mathematics Education

      • Mario Sánchez Aguilar, Martha Leticia García Rodríguez, William Enrique Poveda Fernández
      Pages 81-97
    3. Activating Mathematical Communication Competency When Using DGE—Is It Possible?

      • Cecilie Carlsen Bach, Angelika Bikner-Ahsbahs
      Pages 177-196
  5. The Three Types of Overview and Judgement

    1. Front Matter

      Pages 217-217
  6. Broadening the Scene

    1. Front Matter

      Pages 269-269

About this book

This book focuses on the potential interplay between two distinct, yet related paradigm shifts in mathematics education, drawing on the notion of “networking of theories” through illustrative case studies from the Danish educational system and beyond. The first paradigm shift is the massive introduction of digital technology in the teaching and learning of the subject; the second is a shift from the traditional focusing on mastering of skills and knowledge to being concerned with the possession and development of mathematical competencies.

This book builds on the Danish KOM (Competencies and the Learning of Mathematics) project, which sources its description of mathematical mastery primarily on the notion of a “mathematical competency” rather than on lists of topics, concepts, and results. This allows for an overarching framework, which captures the perspectives of mathematics teaching and learning at whichever educational level. While the KOM framework does not in detail address the role of digital technologies in relation to its description of different types of mathematical competencies, etc., the chapters of this book set out to do exactly this, while in the process also drawing on a selection of other theoretical constructs and frameworks from mathematics education research.

Starting with introductory chapters by key researchers in the area, the book brings forth chapters for each of the KOM framework’s eight mathematical competencies, authored by Nordic researchers in combination with international scholars. The KOM framework also operates with three types of overview and judgement, which are specifically addressed in relation to the role of digital technologies in the third part of the book. The fourth and final part of the book broadens the scene and provides chapters of a more perspective nature in relation to mathematical competencies in the digital era. The book’s preface is by Susanne Prediger.

Editors and Affiliations

  • Danish School of Education, Aarhus University, Copenhagen, Denmark

    Uffe Thomas Jankvist

  • Curriculum, Pedagogy and Assessment, UCL Institute of Education, London, UK

    Eirini Geraniou

About the editors

Uffe Thomas Jankvist is professor of mathematics education at Danish School of Education, Aarhus University, Denmark. His research interests involve the use of history of mathematics in mathematics education, digital technologies in the teaching and learning of mathematics, the role of interdisciplinarity when teaching mathematics, students’ mathematics specific learning difficulties, and implementation research related to mathematics education. In collaboration with E. Geraniou, he has also done research on students’ and teachers’ mathematical digital competencies.

Eirini Geraniou is associate professor of mathematics education at the UCL Institute of Education, University College London, London, United Kingdom. Her research interests involve the use of digital technologies for the learning and teaching of mathematics, the design and implementation of bridging resources and media for mathematical learning with digital technologies, and students’ mathematical thinking and computational thinking. In collaboration with U. T. Jankvist, she has also done research on students’ and teachers’ mathematical digital competencies.

Bibliographic Information

  • Book Title: Mathematical Competencies in the Digital Era

  • Editors: Uffe Thomas Jankvist, Eirini Geraniou

  • Series Title: Mathematics Education in the Digital Era

  • DOI: https://doi.org/10.1007/978-3-031-10141-0

  • Publisher: Springer Cham

  • eBook Packages: Education, Education (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022

  • Hardcover ISBN: 978-3-031-10140-3Published: 21 February 2023

  • Softcover ISBN: 978-3-031-10143-4Published: 21 February 2024

  • eBook ISBN: 978-3-031-10141-0Published: 20 February 2023

  • Series ISSN: 2211-8136

  • Series E-ISSN: 2211-8144

  • Edition Number: 1

  • Number of Pages: XII, 358

  • Number of Illustrations: 35 b/w illustrations, 59 illustrations in colour

  • Topics: Mathematics Education, Education, general, Science Education, Study and Learning Skills

Buy it now

Buying options

eBook USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 139.99
Price excludes VAT (USA)
This title has not yet been released. You may pre-order it now and we will ship your order when it is published on 6 Mar 2024.
  • Compact, lightweight edition
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access