1997 Volume 2 Number 2
A Comparison Of How Textbooks Present Integer Addition And Subtraction
In PRC And USA
Jack Carter
Yeping Li
Beverly J. Ferrucci
Abstract: The presentations of integer addition and subtraction in ten middle school
mathematics textbooks, four from the People’ Republic of China (PRC) and six
from the United States (US) were compared with respect to the worked-out
examples, relevant illustrations, exercises, and irrelevant illustrations. All the PRC
texts introduced integer addition by using models of commonly-applied situation-
an approach that required the coordination of verbal, pictorial, and symbolic
representations. US texts more often used pictorial and symbolic representations to
introduce this topic. PRC books consistently presented a common vision of integer
operations as a subspace of the rational number operations, a vision not evident in
the US texts. Further analysis showed that PRC and US texts failed to (!) fully
coordinate representations of integer addition problems with steps required to
solve such problems; and (2) use the same concrete analogy to introduce both
integer operation. PRC textbooks also used an inductive approach to develop
general addition rules based on absolute values, while only one of the US texts
presented a comparable generalization.