
06451925
a
2015d.00693
Mestre, C\'elia
Oliveira, H\'elia
Generalising through quasivariable thinking: a study with grade 4 students.
Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of the European Society of Research in Mathematics Education, Antalya, Turkey, February 610, 2013. Ankara: Middle East Technical University (ISBN 9789754293159). 490499 (2013).
2013
Ankara: Middle East Technical University
EN
H22
C32
algebraic thinking
generalization
symbolization
quasivariable thinking
Summary: A study from the beginning of a teaching experiment to promote grade 4 students' algebraic thinking. It aims to analyse how quasivariable thinking contributed to the development of generalisation and to the first uses of symbolisation by the students. The data were collected from two mathematical tasks that explored computation strategies. The lessons were taught by the researcher (the first author), the data were collected using video recordings, and the collective discussion moments in the classroom were analysed. The results show how the teacher conducted the exploration of some particular numerical expressions to lead students to generalise the relationships underlying the structure of the calculation strategies. Thereby, using quasivariable thinking, some students express the generalisation in natural language and start making a pathway to symbolisation.