
06439683
a
2015d.00681
Brizuela, B\'arbara M.
Earnest, Darrell
Multiple notational systems and algebraic understandings: the case of the ``best deal" problem.
Kaput, James J. (ed.) et al., Algebra in the early grades. London: Routledge (ISBN 9780805854725/hbk; 9780805854732/pbk). Studies in Mathematical Thinking and Learning Series, 273301 (2008).
2008
London: Routledge
EN
H12
C32
E42
I22
early education in algebra
algebraic reasoning
primary education
educational research
multiple representations
interviews
modes of representation
concept formation
mathematical language
terminology
notation
mathematical symbols
tables
graphical representations
linear functions
From the text: In Chapter 11, the authors look at students in the process of trying to coordinate diverse representations of the same function. Students are asked to decide which is a better birthday present: (a) receiving \$ 2 for each dollar one already has, or (b) receiving \$ 3 for each dollar one has, but having to return \$ 7 to the giver. Nineyearold students initially favor one deal over the other. But when they consider a variety of scenarios, they realize that the outcome varies according to the starting amount. The authors focus on the students' work of making and interpreting graphs, and coordinating information in a graph with information in a table.