Discerning multiplicative and additive reasoning in co-variation problems
2015 (English)In: Proceeding of ICMI STUDY 23: primary mathematics study on whole numers / [ed] Xuhua Sun, Berinderjeet Kaur, Jarmila Novotná, Macao: University of Macao , 2015, 559-566 p.Conference paper (Refereed)
In this study of arithmetical reasoning, which extends earlier work, we explore what properties students, when working in pairs, discern in additive and multiplicative co-variation problems that help them to distinguish between problem types. Results showed that pairs who solved each problem appropriately discerned mathematically significant properties such as speed, starting time and distance. Pairs who over-used additive reasoning focused on the distance difference without considering speed. While speed is considered to be a difficult quantity, here it seems to help students distinguish between multiplicative and additive situations.
Place, publisher, year, edition, pages
Macao: University of Macao , 2015. 559-566 p.
Additive reasoning, Co-variation problems, Multiplicative reasoning
Research subject Mathematics Education
IdentifiersURN: urn:nbn:se:su:diva-120839ISBN: 978-99965-1-066-3OAI: oai:DiVA.org:su-120839DiVA: diva2:854800
ICMI Study 23, June 3-7, 2015, Macao, China