Title: How do proportional and additive methods develop along primary and secondary school?
Authors: Fernández, Ceneida ×
Llinares, Salvador
Van Dooren, Wim
De Bock, Dirk
Verschaffel, Lieven #
Issue Date: 2010
Publisher: PME
Host Document: Proceedings of the 34th Conference of the International Group for the Psychology in Mathematics Education : mathematics in different settings vol:2 pages:353-360
Conference: Conference of the International Group for the Psychology in Mathematics Education edition:34 location:Belo Horizonte, Brazil date:18-23 July 2010
Abstract: This study focuses on the transition from additive to multiplicative (proportional) reasoning. In particular, it investigates simultaneously two phenomena that have been studied isolated during the last years: the development from primary to secondary school of the use of additive methods in proportional situations and the use of proportional methods in additive situations. Our findings indicate that while the over-use of additive methods in proportional situations increased during primary school and decreased during secondary school, the over-use of proportional methods in additive situations increased along primary and secondary school. The presence or absence of integer ratios strongly affects this behaviour but the nature of quantities only has a small influence in the use of proportional methods.
ISBN: 0771-100X
Publication status: published
KU Leuven publication type: IC
Appears in Collections:Faculty of Economics and Business (FEB) - miscellaneous
Research Centre for Educational Research & Development, Campus Brussels
Instructional Psychology and Technology
Leuven Academic Centre for Professional Development in Education
Education and Training
× corresponding author
# (joint) last author

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