id: 06585999
dt: j
an: 2016d.00897
au: Attorps, Iiris; Björk, Kjell; Radic, Mirko
ti: Generating the patterns of variation with GeoGebra: the case of polynomial
approximations.
so: Int. J. Math. Educ. Sci. Technol. 47, No. 1, 45-57 (2016).
py: 2016
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: N55 U75 I25 I95
ut: Taylor polynomial; teaching; university education; variation theory
ci:
li: doi:10.1080/0020739X.2015.1046961
ab: Summary: In this paper, we report a teaching experiment regarding the
theory of polynomial approximations at the university mathematics
teaching in Sweden. The experiment was designed by applying Variation
theory and by using the free dynamic mathematics software GeoGebra. The
aim of this study was to investigate if the technology-assisted
teaching of Taylor polynomials compared with traditional way of work at
the university level can support the teaching and learning of
mathematical concepts and ideas. An engineering student group ($n =
19$) was taught Taylor polynomials with the assistance of GeoGebra
while a control group ($n = 18$) was taught in a traditional way. The
data were gathered by video recording of the lectures, by doing a
post-test concerning Taylor polynomials in both groups and by giving
one question regarding Taylor polynomials at the final exam for the
course in Real Analysis in one variable. In the analysis of the
lectures, we found Variation theory combined with GeoGebra to be a
potentially powerful tool for revealing some critical aspects of Taylor
Polynomials. Furthermore, the research results indicated that applying
Variation theory, when planning the technology-assisted teaching,
supported and enriched students’ learning opportunities in the study
group compared with the control group.
rv: