id: 06452182
dt: a
an: 2015d.00383
au: Raveh, Ira; Koichu, Boris
ti: A reference framework for teaching the standard algorithms of the four
basic arithmetic operations: from theoretical analysis to task design.
so: Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of
the European Society of Research in Mathematics Education, Antalya,
Turkey, February 6‒10, 2013. Ankara: Middle East Technical University
(ISBN 978-975-429-315-9). 3217-3226 (2013).
py: 2013
pu: Ankara: Middle East Technical University
la: EN
cc: D39 F32 D50
ut: standard algorithm; basic arithmetic operations; mathematical knowledge for
teaching; task design
ci:
li:
ab: Summary: The study presented in this paper offers a reference framework for
characterizing primary school teachers’ mathematical knowledge of the
standard algorithms of the four basic arithmetic operations. The
framework was first devised theoretically, from mathematical analysis
of the algorithms and from past research on knowledge for teaching
arithmetic operations with rational numbers. It was then applied to
designing tasks for charactering and deepening the teachers’
conceptual understanding of the algorithms. The paper contains examples
of tasks related to the knowledge of mathematical principles underlying
the algorithms, which were tested with a group of 46 primary school
mathematics teachers.
rv: