id: 02361477
dt: a
an: 2005a.00337
au: Runesson, Ulla
ti: Learning velocity graphs - The case of Laura and Fiona. Variation as a
critical feature for learning.
so: Bergsten, Christer (ed.) et al., Challenges in mathematics education.
Proceedings of MADIF3, The 3rd Swedish mathematics education research
seminar, Norrköping, Sweden, January 23‒25, 2002. Linköping: Svensk
Förening för MatematikDidaktisk Forskning (ISBN 91-973934-0-X).
Skrifter vrån Svensk Förening för Matematikdidaktisk Forskning
(SMDF) 2, 152-156 (2003).
py: 2003
pu: Linköping: Svensk Förening för MatematikDidaktisk Forskning
la: EN
cc: I23 D40 C30
ut:
ci:
li:
ab: One line of educational research has put the variation of the object of
study as critical for learning. In her presentation, the author
illustrates how learning is dependent on the pattern of variation -
such as what is varying, what is invariant, what is left out or taken
for granted. For example, by changing one essential feature of a
demonstration, the teacher may insert one necessary dimension of
variation but take another one for granted. In the case shown in the
paper the bi-directional property of a velocity was kept invariant but
the variation of the horizontal-vertical dimension of movement was
taken for granted, thus causing learning problems.
rv: