Table 4 Statistics of the problem-posing for the three grades.

From: The selections and differences in mathematical problem-posing strategies of junior high school students

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