id: 06297520
dt: a
an: 2014c.00769
au: Swidan, Osama; Yerushalmy, Michal
ti: Embodying the convergence of the Riemann accumulation function in a
technology environment.
so: Lindmeier, Anke M. (ed.) et al., Proceedings of the 37th conference of the
International Group for the Psychology of Mathematics Education
“Mathematics learning across the life span", PME 37, Kiel, Germany,
July 28‒August 2, 2013. Vol. 4. Kiel: IPN‒Leibniz Institute for
Science and Mathematics Education at the University of Kiel (ISBN
978-3-89088-290-1). 257-264 (2013).
py: 2013
pu: Kiel: IPN‒Leibniz Institute for Science and Mathematics Education at the
University of Kiel
la: EN
cc: I54 U74
ut: Riemann accumulation function; convergence; accumulation function;
technological tools; integration; integral concept
ci:
li:
ab: Summary: This case study is one in a series of studies regarding the
learning of the integral concept. Its focus is on the processes
involved in the convergence of Riemann accumulation function (RAF) to
the accumulation function (AF). The study is guided by the
objectification theory which considers learning to be a process of
becoming aware of the knowledge which exists in the culture. Through a
task performed with a designed technological tool, the students were
asked to suggest ways to make the Riemann accumulation graph and the
accumulation graph converge. A semiotic analysis of the learning
process of a pair of students serves as an example of evolutionary
processes of the personal meaning toward the cultural mathematical
meaning consist of two successive processes: a) attention to the
differences between the RAF graph and the AF graph, and b) the actions
performed by the student to make the two graphs converge.
rv: