Table 4 Statistics of the problem-posing for the three grades.
Grade | Statistics Index | Number of problems | Number of times strategies used in Category A | Number of times strategies used in Category B | |||||
|---|---|---|---|---|---|---|---|---|---|
A1 Accepting the given information. | A2 Changing the given information | A21 Changing the initial information | A22 Changing the implicit assumptions | B1 Symmetry | B2 Systematic variation | B3 Chaining | |||
7 | M | 7.36 | 2.96 | 2.01 | 1.72 | 0.29 | 0.37 | 0.76 | 1.16 |
SD | 13.832 | 2.333 | 2.716 | 2.169 | 0.384 | 0.355 | 1.112 | 1.753 | |
8 | M | 7.16 | 3.08 | 2.21 | 2.14 | 0.08 | 0.24 | 0.54 | 0.98 |
SD | 19.709 | 5.628 | 3.889 | 3.681 | 0.118 | 0.294 | 1.058 | 1.056 | |
9 | M | 7.66 | 3.25 | 1.98 | 1.84 | 0.14 | 0.26 | 0.69 | 1.40 |
SD | 16.599 | 3.512 | 2.284 | 2.078 | 0.188 | 0.292 | 2.428 | 2.307 | |