6533b839fe1ef96bd12a61a4

RESEARCH PRODUCT

Exploring grade 9 students' assumption making when mathematizing

Brikena DjepaxhijaPauline VosAnne Berit Fuglestad

subject

modellingAssumption makinglower secondary students[SHS.EDU]Humanities and Social Sciences/Education[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO][SHS.EDU] Humanities and Social Sciences/Education[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]task expectationsmathematizing

description

International audience; Making assumptions is a key activity in modelling. The present study aims to explore the variety of assumptions that lower secondary students make in this process. As theoretical basis for the data analysis, we used the modelling cycle by Blum and Leiss (2007) and framed a definition of assumptions. The study was carried out with grade 9 students. The results show three categories of assumptions: (1) parameter assumptions, (2) assumptions for the choice of the mathematical model, and (3) assumptions about task expectations. Assumptions from the first two categories assist students to use extra-mathematical knowledge to construct a mathematical model, while the third category of assumptions can assist but also hinder them. Our study shows, that students were well aware of their assumption making.

https://hal.archives-ouvertes.fr/hal-01287253