@article {MATHEDUC.06149882, author = {Warren, Elizabeth and Miller, Jodie and Cooper, Thomas J.}, title = {Exploring young students' functional thinking.}, year = {2013}, journal = {PNA. Revista de Investigaci\'on en Did\'actica de la Matem\'atica}, volume = {7}, number = {2}, issn = {1886-1350}, pages = {75-84}, publisher = {Departamento de Did\'actica de la Matem\'atica, Facultad de Ciencias de la Educaci\'on, Universidad de Granada, Granada}, abstract = {Summary: The Early Years Generalising Project (EYGP) involves Australian years 1 to 4 (age 5 to 9) students and investigates how they grasp and express generalizations. This paper focuses on data collected from 6 year 1 students in an exploratory study within a clinical interview setting that required students to identify function rules. Preliminary findings suggest that the use of gestures (both by students and interviewers), self-talk (by students), and concrete acting out, assisted students to reach generalizations and to begin to express these generalities. It also appears that as students become aware of the structure, their use of gestures and self-talk tended to decrease. The article was originally published in [B. Ubuz (ed.), Proceedings of the 35th conference of the International Group for the Psychology of Mathematics Education. Vol. 4. Ankara: PME, 329--336 (2011)].}, msc2010 = {C32xx (I22xx)}, identifier = {2013b.00212}, }