Encyclopedia of Mathematics Education

Living Edition
| Editors: Steve Lerman

Instrumentation in Mathematics Education

  • Luc TroucheEmail author
Living reference work entry
DOI: https://doi.org/10.1007/978-3-319-77487-9_80-3


In order to define instrumentation in the context of mathematics education, it is necessary to define instruments: at this stage of this entry, we do not differentiate between instruments and artifacts, i.e., regard them as things that are created and used by humans to help, assist, support, enlarge, empower their activity. Instrumentation is the action to give someone an instrument, or the action by which someone acquires an instrument, in order to perform a given activity. The notion of instrumentation is part of a network of concepts; we will focus here on the main dialectical relationships between them.

Instrumentation and Instruction

Contrary to the common perception that mathematics is a pure mental activity, the importance of tools in mathematical activity has been largely acknowledged: “many of the actions of doing mathematics involve selecting, using and creating tools.” (Monaghan et al. 2016, p. 4). What is true in general is all the more true for these...


Appropriation Affordances Artifact Digital resources Design process Instrument Instrumental approach to didactics Instrumental genesis Instrumental orchestration Instrumentalization Instrumentation Orchestration Resources System of instruments 
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Thanks to Ghislaine Gueudet and Birgit Pepin for their reading of the first version of this article.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.French Institute of EducationEcole Normale Supérieure de LyonLyonFrance

Section editors and affiliations

  • Bharath Sriraman
    • 1
  1. 1.Department of Mathematical SciencesThe University of MontanaMissoulaUSA