@inbook {MATHEDUC.06439917,
author = {Schacht, Florian and Hu{\ss}mann, Stephan},
title = {Making generalizations explicit: an inferential perspective on concept-formation of variables.},
year = {2014},
booktitle = {Proceedings of the 38th conference of the International Group for the Psychology of Mathematics Education ``Mathematics education at the edge", PME 38 held jointly with the 36th conference of PME-NA, Vancouver, Canada, July 15--20, 2014, Vol. 5},
isbn = {978-0-86491-360-9},
pages = {97-104},
publisher = {[s. l.]: International Group for the Psychology of Mathematics Education},
abstract = {Summary: The transition from preformal and propaedeutic generalization-actions to a symbolically explicit use of the concept of variable has been a matter of significant attention in mathematics education, for example in the context of generalization processes on a preformal level and regarding the specific nature of algebraic concepts. This contribution offers an inferential theoretical perspective to study the relation of geometric and arithmetic notions when dealing with figural growing patterns and arithmetic sequences. By reconstructing ``individual commitments" we show results of the impacts of this relation on the individual notion and explicit use of the concept of variable. Finally, the results also show that the concept of ``propaedeutics" itself gains an extension in the light of the theoretical framework.},
msc2010 = {H20xx (E40xx)},
identifier = {2015c.00743},
}