Mathematical Working Spaces in schooling: an introduction

A Kuzniak, D Tanguay, I Elia - ZDM, 2016 - Springer
The theoretical and methodological model of Mathematical Working Space (MWS) is
introduced in this paper. For over 10 years, the model has been the object of collaborative …

Issues and challenges in instrumental proof

PR Richard, F Venant, M Gagnon - Proof technology in mathematics …, 2019 - Springer
Our article aims to define the notion of instrumental proof based on didactic, epistemological
and cognitive considerations. We raise issues and challenges related to the use of this type …

Mathematical work in the digital age. Variety of tools and the role of geneses

JV Flores Salazar, J Gaona, PR Richard - … The Perspective of the Theory of …, 2022 - Springer
This chapter focuses on the particularities of mathematical work in the digital age. It opens
with historical considerations that relate to the development of mathematical work to do …

Using automated reasoning tools in GeoGebra in the teaching and learning of proving in geometry

Z Kovács, T Recio, M Pilar Velez - International Journal for …, 2018 - ingentaconnect.com
This document introduces, describes and exemplifies the technical features of some recently
implemented automated reasoning tools in the dynamic mathematics software GeoGebra …

Towards an ecosystem for computer-supported geometric reasoning

Z Kovács, T Recio, PR Richard… - … Education in Science …, 2022 - Taylor & Francis
In this study, we explore automated reasoning tools (ART) in geometry education and we
argue that these tools are part of a wider, nascent ecosystem for computer-supported …

The idoine or suitable MWS as an essential transitional stage between personal and reference mathematical work

C Henríquez-Rivas, A Kuzniak, B Masselin - Mathematical work in …, 2022 - Springer
In the context of teaching and learning processes and for a given institution, the personal
mathematical work undertaken by students is quite different from the reference mathematical …

Designing tasks supported by GeoGebra automated reasoning tools for the development of mathematical skills

T Recio, PR Richard… - International Journal for …, 2019 - ingentaconnect.com
This paper reflects on the design of tasks that could take profit from the new features for
Automated Reasoning, recently available in the dynamic geometry program GeoGebra. We …

Instrumental genesis in the theory of MWS: insight from didactic research on digital artifacts

JB Lagrange, PR Richard - Mathematical work in educational context: The …, 2022 - Springer
The central focus of this chapter is the relationship between the notions introduced by
Vérillon and Rabardel,“artifact” and “instrumental genesis,” and the homonym notions in the …

L'apprentissage instrumenté de propriétés en géométrie: propédeutique à l'acquisition d'une compétence de démonstration

S Coutat, C Laborde, PR Richard - Educational Studies in Mathematics, 2016 - Springer
Résumé Notre article vise à montrer comment l'apprentissage instrumenté des propriétés en
géométrie euclidienne peut s' introduire en continuité avec les compétences mathématiques …

The epistemic, the cognitive, the human: a commentary on the mathematical working space approach

L Radford - ZDM, 2016 - Springer
This article is a commentary on the mathematical working space (MWS) approach and
draws on the articles contained in this ZDM issue. The article is divided into three parts. In …