id: 06655667
dt: j
an:
au: Kazunga, Cathrine; Bansilal, Sarah
ti: Teachersâ€™ approaches to proportional relationship problems in multiple
measure spaces.
so: Afr. J. Res. Math. Sci. Technol. Educ. 20, No. 1, 1-14 (2016).
py: 2016
pu: Taylor \& Francis (Routledge), Abingdon, Oxfordshire
la: EN
cc: F80 D60 M10
ut: ratio; proportion; mathematical literacy teachers; missing value problem;
measure spaces
ci:
li: doi:10.1080/10288457.2015.1111560
ab: 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
teachersâ€™ application of ratio in an assessment task with multiple
measure spaces set within the real-life 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 in-service 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
cross-multiplication 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.
rv: