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Titlebook: Mathematical Work in Educational Context; The Perspective of t Alain Kuzniak,Elizabeth Montoya-Delgadillo,Philipp Book 2022 The Editor(s) (

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The Idoine or Suitable MWS as an Essential Transitional Stage Between Personal and Reference Mathemat from the reference mathematical work. This is evident when a new field of study is planned, but it is also true for a field which has already been taught. The notion of idoneity, as a recursive adaptation process, is a strong idea that makes it possible to gradually bring these two forms of mathem
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The Theory of Mathematical Working Spaces: Theoretical Environment, Epistemological Stance and Dialoribing the theoretical environment in which the theory was conceived, the question of mathematical work is further explored by considering philosophical and epistemological aspects. These considerations help to identify the requirements and foundations that have led to fruitful and ongoing interacti
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Mathematical Work in the Digital Age. Variety of Tools and the Role of Genesespment of mathematical work to do arithmetic when symbolic or mechanical tools and algorithmic methods were used. He goes on to define the new mathematical work by introducing concepts of reference in the interaction between human and machine. The notion of valence of mathematical work makes it possi
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Instrumental Genesis in the Theory of MWS: Insight from Didactic Research on Digital Artifactss,” and the homonym notions in the theory of MWS. Following a brief overview of the Piagetian and Activity Theory perspectives which inspired Vérillon and Rabardel, we explore how didactic research on digital artifacts developed two viewpoints on the instrumental genesis: psychological and instituti
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Modeling in Education: New Perspectives Opened by the Theory of Mathematical Working Spacesf a modeling cycle. In these studies, the MWS framework gives insight into the processes involved in students’ work, and it also sheds light upon the complex relationship between reality and mathematics and the multifaceted relationship between the process of problem solving and the underlying educa
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Mathematical Work and Beyondss. The guiding idea of the chapter is to deepen the study of mathematical work through different perspectives by considering various mathematical domains, other scientific fields and looking beyond the classroom.
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Instrumental Genesis in the Theory of MWS: Insight from Didactic Research on Digital Artifacts. Regarding the poles of the instrumental genesis, we propose to characterize a digital artifact by the underlying data representations and algorithmic treatments, and to consider constructions as data-result models of mathematical configurations, taking advantage of the representations and algorith
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