Mathematical Representation Competency in the Era of Digital Representations of Mathematical Objects

Ingi Heinesen Højsted, Maria Alessandra Mariotti

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In this chapter, we examine what the possession and development of mathematical representation competency constitutes in the context of digital representations of mathematical objects. We start from the specific case of representations of objects in a dynamic geometry environment and attempt to generalize our argument to representations of any other mathematical object. Our claim concerns the hypothesis about the correlation between two steps in the representation competency, which we partly substantiate empirically and partly argue from a theoretical point of view. The first step concerns the ability to interpret and use geometrical representations of dynamic geometrical objects. We present data from students that reach different degrees of such ability, as they are working on dynamic geometry tasks. The second step is theoretically based and concerns the ability to interpret and use representations of non-geometrical objects that can be interpreted geometrically.
Original languageEnglish
Title of host publicationMathematical Competencies in the Digital Era
EditorsUffe Thomas Jankvist, Eirini Geraniou
Place of PublicationCham
PublisherSpringer Nature Switzerland
Number of pages19
ISBN (Electronic)978-3-031-10141-0
ISBN (Print)978-3-031-10140-3
Publication statusPublished - 2023

Publication series

NameMathematics Education in the Digital Era
ISSN (Print)2211-8136
ISSN (Electronic)2211-8144


  • mathematical representation competency
  • KOM framework
  • dynamic geometry
  • digital representation
  • dynamic dependency
  • dependency tast


Dive into the research topics of 'Mathematical Representation Competency in the Era of Digital Representations of Mathematical Objects'. Together they form a unique fingerprint.

Cite this