id: 06495826
dt: a
an: 2015f.00965
au: Shirali, Shailesh A.
ti: Numerical analysis as a topic in school mathematics.
so: Cho, Sung Je (ed.), Selected regular lectures from the 12th international
congress on mathematical education, ICME 12, Seoul, Korea, July 8‒15,
2012. Cham: Springer (ISBN 978-3-319-17186-9/hbk;
978-3-319-17187-6/ebook). 715-729 (2015).
py: 2015
pu: Cham: Springer
la: EN
cc: N40 N50 D30
ut: numerical analysis; school mathematics; discipline of mathematics;
estimation; irrational quantity; rational operation
ci:
li: doi:10.1007/978-3-319-17187-6_40
ab: Summary: Concerns about the divide between school mathematics and the
discipline of mathematics are known in math education circles. At the
heart of the debate is the sense that imperatives in school mathematics
differ from those in the discipline of mathematics. In the former case,
the focus is on remembering mathematical facts, mastering algorithms,
and so on. In the latter case, the focus is on exploring, conjecturing,
proving or disproving conjectures, generalizing, and evolving concepts
that unify. It is clearly of value to find ways to bridge the divide.
Certain topics offer greater scope at the school level for doing
significant mathematics; one such is the estimation of irrational
quantities using rational operations. This problem is ideal for
experimentation, forming conjectures, heuristic reasoning, and seeing
the power of calculus. The underlying logic is easy to comprehend. It
would therefore be very worthwhile if we could make such topics
available to students in high school.
rv: