TY - JOUR

T1 - Mathematical working space and paradigms as an analysis tool for the teaching and learning of analysis

AU - Delgadillo, Elizabeth Montoya

AU - Vivier, Laurent

N1 - Funding Information:
This study was supported by the ECOS-Sud C13H03 project.
Publisher Copyright:
© 2016, FIZ Karlsruhe.

PY - 2016/10/1

Y1 - 2016/10/1

N2 - Mathematical working space (MWS) is a model that is used in research in mathematics education, particularly in the field of geometry. Some MWS elements are independent of the field while other elements must be adapted to the field in question. In this paper, we develop the MWS model for the field of analysis with an identification of paradigms. We show the advantages of this MWS model, which takes into account the epistemological and cognitive aspects of mathematical work, and more specifically the semiotic, instrumental and discursive geneses, by making them function as one system. By using examples and data from three countries, we illustrate how this model can be used to perform a priori analyses and analyses of class situations and individual student work.

AB - Mathematical working space (MWS) is a model that is used in research in mathematics education, particularly in the field of geometry. Some MWS elements are independent of the field while other elements must be adapted to the field in question. In this paper, we develop the MWS model for the field of analysis with an identification of paradigms. We show the advantages of this MWS model, which takes into account the epistemological and cognitive aspects of mathematical work, and more specifically the semiotic, instrumental and discursive geneses, by making them function as one system. By using examples and data from three countries, we illustrate how this model can be used to perform a priori analyses and analyses of class situations and individual student work.

KW - Analysis

KW - Mathematical working space

KW - Paradigms

KW - Perspectives

UR - http://www.scopus.com/inward/record.url?scp=84988448011&partnerID=8YFLogxK

U2 - 10.1007/s11858-016-0777-9

DO - 10.1007/s11858-016-0777-9

M3 - Article

AN - SCOPUS:84988448011

SN - 1863-9690

VL - 48

SP - 739

EP - 754

JO - ZDM - Mathematics Education

JF - ZDM - Mathematics Education

IS - 6

ER -