id: 05834562
dt: a
an: 2011a.00771
au: Amit, Miriam; Neria, Dorit
ti: Assessing a modeling process of a linear pattern task.
so: Lesh, Richard (ed.) et al., Modeling students’ mathematical modeling
competencies. ICTMA 13. Proceedings of the 13th international
conference on the teaching of mathematical modelling and applications,
July 22‒26, 2007. London: Springer (ISBN 978-1-4419-0560-4/hbk;
978-1-4419-0561-1/ebook). 213-221 (2010).
py: 2010
pu: London: Springer
la: EN
cc: I33 D53
ut: patterns; sequences; generalization; problem-solving strategies;
educational research
ci:
li: doi:10.1007/978-1-4419-0561-1_18
ab: Summary: This research investigated the process of generalizing a pictorial
linear pattern problem, as done by fifty-three mathematically promising
students participating in an after school math club. The students’
work revealed a range of solution paths and representations, and a
cycle of expressing ‒ testing ‒ revising. While the majority of
them found the constant difference property of the pattern, they
experienced difficulties in expressing the general rule. The majority
of students applied recursive strategies, even when more global
strategies were called for. Although the aforementioned task lacks a
real-life context that is essential for modeling problems, the
advantages of such problems in multi-cultural classes are discussed.
rv: