id: 06403527
dt: j
an: 2015b.00785
au: Mybert, Zingiswa; Jojo, Monica; Maharaj, Aneshkumar; Brijlall, Deonarain
ti: From human activity to conceptual understanding of the chain rule.
so: REDIMAT, J. Res. Math. Educ. 2, No. 1, 77-99, electronic only (2013).
py: 2013
pu: Hipatia Press, Barcelona
la: EN
cc: I45 C35
ut: calculus; chain rule; APOS; genetic decomposition
ci:
li: doi:10.4471/redimat.2013.21
ab: Summary: This article reports on a study which investigated first year
university engineering studentsâ€™ construction of the definition of
the concept of the chain rule in differential calculus at a University
of Technology in South Africa. An APOS (action-process-objects-schema)
approach was used to explore conceptual understanding displayed by
students in learning the chain rule in calculus. Structured worksheets
based on instruction designed to induce construction of conceptual
understanding of the chain rule were used. A number of students used
the straight form technique in differentiating complicated tasks while
very few used either the link and Leibniz form techniques. In this
manner differentiation of each function within the composite function
was accomplished. Students either operated in the inter- or trans
stages of the triad. It was found that even students who had inadequate
understanding of composition of functions, performed well in the
application of the chain rule.
rv: