id: 06606595
dt: a
an: 2016d.00709
au: Saito, Shiori; Nagaoka, Ryosuke
ti: Analysis of the role of learning of equation in the formation and structure
of the general mathematical view in Japan ‒ a strategy to reconstruct
of mathematics education.
so: Rogerson, Alan (ed.), The mathematics education for the future project.
Proceedings of the 13th international conference ‘Mathematics
education in a connected world’, Catania, Sicily, Italy, September
16‒21, 2015. Münster: WTM-Verlag (ISBN 978-3-942197-44-1/pbk;
978-3-942197-86-1/ebook). Conference Proceedings in Mathematics
Education 1, 359-363 (2015).
py: 2015
pu: Münster: WTM-Verlag
la: EN
cc: H33
ut: algebra; obstacle; mathematical concepts; algebraic thinking; mathematical
expressions; roots of quadratic equations; algebraic equations
ci:
li:
ab: Summary: Algebra usually having been regarded as the most basic
mathematical method to be learned by all young high school students,
now is sometimes a serious obstacle of learning of mathematics in
Japan, which disturbs ordinary students to learn further mathematical
concepts like functions. It is indispensable to spend the necessary
cost, i.e. teaching time and teaching efforts, for modern learners to
be well convinced of the advantage of algebraic thinking beyond mere
training of skills of formal manipulation of mathematical expressions.
Traditional too much exceeded inclination for the universal validity of
mathematical formula for roots of quadratic equation, for example,
should be critically reconsidered in view of the contribution to the
theory of algebraic equations by J. L. Lagrange.
rv: