id: 06430670
dt: j
an: 2015c.00599
au: Whitacre, Ian; Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph
A.; Bagley, Spencer; Schappelle, Bonnie P.
ti: ‘Negative of my money, positive of her money’: secondary students’
ways of relating equations to a debt context.
so: Int. J. Math. Educ. Sci. Technol. 46, No. 2, 234-249 (2015).
py: 2015
pu: Taylor \& Francis, Abingdon, Oxfordshire
la: EN
cc: F42 F43 F92 F93 H32 H33
ut: integers; contexts; story problems; negative numbers; money
ci:
li: doi:10.1080/0020739X.2014.956822
ab: Summary: We interviewed 40 students each in grades 7 and 11 to investigate
their integer-related reasoning. In one task, the students were asked
to write and interpret equations related to a story problem about
borrowing money from a friend. All the students solved the story
problem correctly. However, they reasoned about the problem in
different ways. Many students represented the situation numerically
without invoking negative numbers, whereas others wrote equations
involving negative numbers. When asked to interpret equations involving
negative numbers in relation to the story, students did so in two ways.
Their responses reflect distinct perspectives concerning the
relationship between arithmetic equations and borrowing/owing. We
discuss these findings and their implications regarding the role of
contexts in integer instruction.
rv: