| Title: |
Body Motion and Early Algebra |
| Authors: |
Nemirovsky, Ricardo; Adamuz-Povedano, Natividad; Ferrara, Francesca; Ferrari, Giulia |
| Contributors: |
Manchester Metropolitan University (MMU); Universidad de Córdoba = University of Córdoba Córdoba; Università degli studi di Torino = University of Turin (UNITO); Institut national d'études démographiques (INED); Utrecht University; Uffe Thomas Jankvist; Marja van den Heuvel-Panhuizen; Michiel Veldhuis |
| Source: |
CERME11 ; Eleventh Congress of the European Society for Research in Mathematics Education ; https://hal.science/hal-02416397 ; Eleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Feb 2019, Utrecht, Netherlands ; www.cerme11.org |
| Publisher Information: |
HAL CCSD; Freudenthal Group; Freudenthal Institute; ERME |
| Publication Year: |
2019 |
| Collection: |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
| Subject Terms: |
Body motion; sensors; early algebra; abstraction; [MATH]Mathematics [math]; [SHS.EDU]Humanities and Social Sciences/Education |
| Subject Geographic: |
Utrecht; Netherlands |
| Description: |
International audience ; This paper focuses on the emergence of abstraction through the use of a new kind of motion detector — WiiGraph — with 11-year old children. In the selected episodes, the children used the sensor to create three simultaneous graphs of position vs. time: two graphs for the motion of each hand and a third one corresponding to their difference. They explored relationships that can be ascribed to an equation of the type A – B = C. We propose two distinct paths for the attainment of abstraction, one focused on working with unknowns lacking sensible qualities, and another that involves navigating a surplus of sensible qualities. This study is a case study for the latter, which we portray as a process of opening channels of flow and exchange among sensible qualities, such that these cease to be self-enclosed and start to configure a plane of unity, which, far from denying their differences, brings them into mutual circulation. |
| Document Type: |
conference object |
| Language: |
English |
| Relation: |
hal-02416397; https://hal.science/hal-02416397; https://hal.science/hal-02416397/document; https://hal.science/hal-02416397/file/TWG03_12.pdf.pdf |
| Availability: |
https://hal.science/hal-02416397; https://hal.science/hal-02416397/document; https://hal.science/hal-02416397/file/TWG03_12.pdf.pdf |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.C859EEDB |
| Database: |
BASE |