Research Article

Children's Use of Arithmetic Shortcuts: The Role of Attitudes in Strategy Choice

Table 2

Percentage shortcut use in the pretest, first posttest (familiar problems), and second posttest (transfer problems) for the sequential and concurrent groups in each grade.

Session
Pretest1st posttest2nd posttestPretest1st posttest2nd posttest

Grade 2 InversionAssociativity
 Sequential13 42.3 (11.1) 51.0 (11.1)42.3 (8.6)15.4 (8.8)22.1 (11.1)6.7 (4.8)
 Concurrent11 31.8 (12.0) 50.0 (12.1)29.5 (7.3)11.4 (8.8)21.6 (12.1)5.6 (3.9)
Grade 3
 Sequential16 57.0 (10.0) 75.8 (10.0)53.9 (10.1)35.2 (7.2)48.4 (10.0)29.7 (10.0)
 Concurrent1951.3 (9.1)68.4 (9.2)40.8 (7.5)30.9 (6.7)44.1 (9.2)12.5 (4.8)
Grade 4
 Sequential2337.0 (8.3)70.1 (8.3)48.9 (6.3)18.5 (6.1)41.3 (8.3)21.7 (5.4)
 Concurrent2042.5 (8.9)64.4 (9.0)
41. (7.8)13.8 (6.5)37.5 (8.9)
17.5 (5.5)

Note. Standard errors are in parentheses.