When bibliometrics met mathematics education research: the case of instrumental orchestration

Author:

Drijvers PaulORCID,Grauwin SebastianORCID,Trouche LucORCID

Abstract

AbstractThanks to digital technology, methods for finding and analysing research literature have become dramatically more powerful over the last decades. Also, new bibliometric techniques have been developed and applied to the results of such literature search queries. The application of these bibliometric tools to mathematics education research, however, is rare. In this paper, we explore the value of these techniques for mathematics education research through triangulating bibliometrics and expert findings. To do so, we address the case of instrumental orchestration, and want to know how this notion developed over time and was used in research practices. The results show that bibliometric clustering techniques provided a sense-making sketch of the ‘landscape’ of instrumental orchestration research. Triangulating the bibliometric findings with expert interpretations seemed an appropriate method to set up compact ‘identity cards’. In the case of instrumental orchestration, we identified five main clusters in research literature, characterized by the following labels: Managing teaching complexity, Designing living resources, Teaching with technology, Adult learners, and Interacting with computers. The paper ends with some reflections on the potential of bibliometrics in our field and on future research on instrumental orchestration.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Education

Reference54 articles.

1. •The instrumental orchestration literature analysis website (http://www.sebastian-grauwin.com/InstrumentalOrchestration/) provides extended information on the corpora of this case study and the methods used, and offers tools for exploring the clusters.

2. •The 19 items marked below with an * are part of the core corpus of the literature database.

3. Artigue, M. (2002). Learning mathematics in a CAS environment: The genesis of a reflection about instrumentation and the dialectics between technical and conceptual work. International Journal of Computer for Mathematical Learning, 7(3), 245–274.

4. Balacheff, N. (1994). Didactique et intelligence artificielle. Recherches en Didactique des Mathématiques, 14(1/2), 9–42.

5. Bellemain, F., & Trouche, L. (2016). Comprendre le travail des professeurs avec les ressources de leur enseignement, un questionnement didactique et informatique, I Simpósio Latinoamericano de Didática da Matemática, 01 a 06 de novembro de 2016. Brasil: Bonito-Mato Grosso do Sul. https://drive.google.com/file/d/0B6OphkgfrkD3ZFRtTDJ2anRfSWM/view.

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