id: 06451925
dt: a
an: 2015d.00693
au: Mestre, Célia; Oliveira, Hélia
ti: Generalising through quasi-variable thinking: a study with grade 4
students.
so: Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of
the European Society of Research in Mathematics Education, Antalya,
Turkey, February 6‒10, 2013. Ankara: Middle East Technical University
(ISBN 978-975-429-315-9). 490-499 (2013).
py: 2013
pu: Ankara: Middle East Technical University
la: EN
cc: H22 C32
ut: algebraic thinking; generalization; symbolization; quasi-variable thinking
ci:
li:
ab: Summary: A study from the beginning of a teaching experiment to promote
grade 4 students’ algebraic thinking. It aims to analyse how
quasi-variable 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 quasi-variable thinking, some students express the
generalisation in natural language and start making a pathway to
symbolisation.
rv: