id: 06675840
dt: a
an:
au: Mason, John
ti: Overcoming the algebra barrier: being particular about the general, and
generally looking beyond the particular, in homage to Mary Boole.
so: Stewart, Sepideh (ed.), And the rest is just algebra. Cham: Springer (ISBN
978-3-319-45052-0/hbk; 978-3-319-45053-7/ebook). 97-117 (2017).
py: 2017
pu: Cham: Springer
la: EN
cc: C30 H20 H30 E50
ut: expressing generality; pedagogic strategies; tracking arithmetic; watch
what you do; say what you see; reasoning without numbers; same and
different; invariance in the midst of change
ci:
li: doi:10.1007/978-3-319-45053-7_6
ab: Summary: Consistent with a phenomenographic approach valuing lived
experience as the basis for future actions, a collection of pedagogic
strategies for introducing and developing algebraic thinking are
exemplified and described. They are drawn from experience over many
years working with students of all ages, teachers and other colleagues,
and reading algebra texts from the fifteenth century to the present.
Attention in this chapter is mainly focused on invoking learnersâ€™
powers to express generality, to instantiate generalities in particular
cases, and to treat all generalities as conjectures which need to be
justified. Learning to manipulate algebra is actually straightforward
once you have begun to appreciate where algebraic expressions come
from.
rv: