id: 06572106
dt: j
an: 2016c.00619
au: Raveh, Ira; Koichu, Boris; Peled, Irit; Zaslavsky, Orit
ti: Four (algorithms) in one (bag): an integrative framework of knowledge for
teaching the standard algorithms of the basic arithmetic operations.
so: Res. Math. Educ. 18, No. 1, 43-60 (2016).
py: 2016
pu: Taylor \& Francis (Routledge), Abingdon, Oxfordshire; British Society for
Research into Learning Mathematics (BSRLM)
la: EN
cc: F32 D39
ut: standard algorithms of the four basic arithmetic operations; mathematical
knowledge for teaching; task design
ci:
li: doi:10.1080/14794802.2016.1141313
ab: Summary: In this article we present an integrative framework of knowledge
for teaching the standard algorithms of the four basic arithmetic
operations. The framework is based on a mathematical analysis of the
algorithms, a connectionist perspective on teaching mathematics and an
analogy with previous frameworks of knowledge for teaching arithmetic
operations with rational numbers. In order to evaluate the potential
applicability of the framework to task design, it was used for the
design of mathematical learning tasks for teachers. The article
includes examples of the tasks, their theoretical analysis, and
empirical evidence of the sensitivity of the tasks to variations in
teachersâ€™ knowledge of the subject. This evidence is based on a study
of 46 primary school teachers. The article concludes with remarks on
the applicability of the framework to research and practice,
highlighting its potential to encourage teaching the four algorithms
with an emphasis on conceptual understanding.
rv: