
06655667
j
Kazunga, Cathrine
Bansilal, Sarah
Teachers' approaches to proportional relationship problems in multiple measure spaces.
Afr. J. Res. Math. Sci. Technol. Educ. 20, No. 1, 114 (2016).
2016
Taylor \& Francis (Routledge), Abingdon, Oxfordshire
EN
F80
D60
M10
ratio
proportion
mathematical literacy teachers
missing value problem
measure spaces
doi:10.1080/10288457.2015.1111560
Summary: Ratio and proportion have many daily life applications and hence form an important part of the Mathematical Literacy (ML) curriculum in South African schools. The purpose of this study was to explore ML teachers' application of ratio in an assessment task with multiple measure spaces set within the reallife context of the need to establish the ingredients to produce 84 biscuits based on a recipe for 24 biscuits. The participants were 101 ML teachers who were enrolled in an inservice teacher upgrading programme for practising ML teachers. Data for the study were generated from the written responses to the task. The study found that approximately 60\% of the teachers were able to complete the task correctly. Many teachers applied the crossmultiplication strategy as a character distribution matrix where the procedures are dictated by the spatial arrangement of symbols instead of being underpinned by an understanding of proportional reasoning. It is recommended that ML teacher education programmes should provide opportunities for teachers to engage with applications of ratio across multiple measure spaces.