Abstract

ESCUDERO, Isabel María; GAVILAN, José María  and  SANCHEZ-MATAMOROS, Gloria. An approach to changes in the mathematical discourse generated in the process of defining. Relime [online]. 2014, vol.17, n.1, pp.7-32. ISSN 2007-6819.

On this work, we focus on a sociocultural perspective in order to set forth the changes that are manifested in the students' mathematical discourse when they try to define a mathematical object. We mainly establish whether it is possible to characterize the process of changing by using the tools as a result of the perspective described above. There were fifty-one participants, students between the ages of 16 and 21. This analysis allowed us to identify different changes on the students' mathematical discourse by the characterization of the identified relationships between their narrative and their routines manifested in the discourse. These changes have allowed us to get an approximate of the students' learning process.

Keywords : To define; Mathematical definition; Sociocultural perspective; Mathematical discourse; High school students and first year of college.