Mathematics: Trends in Year 5 mathematics achievement 1994 to 2006
This report describes the mathematics achievement of Year 5 students in TIMSS 2006/07. Trends in New Zealand’s achievement over the 12 years from 1994 to 2006 are examined, along with comparisons with other countries. Analyses of achievement by sub-groupings (such as gender and ethnicity) and background information are also presented. It was originally published in December 2008 and revised in September 2009 due to the mislabelling of the content domains knowing and applying. The current version rectifies this error.
Author: Robyn Caygill & Sarah Kirkham [Ministry of Education]Date Published: December 2008
Revised Version: September 2009
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- Overview of TIMSS
- Acknowledgements
- Key findings
- Introduction
- Trends in New Zealand mathematics achievement 1994 to 2006
- New Zealand mathematics achievement in 2006 in an international context
- TIMSS and the New Zealand mathematics curriculum
- Mathematics achievement by gender
- Mathematics achievement by ethnicity, language, and country of birth
- Mathematics achievement by socio-economic status and home educational resources
- Student activities outside of school
- Student attitudes
- Discussion of interactions
- Conclusion
- References
- Definition and technical notes
- Erratum
Mathematics achievement by gender
There was no significant difference in mean mathematics achievement between Year 5 boys (493) and girls (492) in 2006. However, the distribution of achievement was wider for boys (297) than for girls (268) as shown in Figure 8. As Figure 8 also shows, the wider distribution among boys has been consistent over the four cycles. Similarly, there was no significant difference between the mean mathematics achievement of boys and that of girls in each of the preceding cycles. It is encouraging to observe the narrowing of the distribution of mathematics achievement for both boys and girls between 1994 and 2006, with fewer lower performers in 2006 compared with 1994.
Figure 8: Trends in distributions of achievement for girls and boys from 1994 to 2006

Note: Standard errors are presented in parentheses.
Benchmarks for Year 5 boys and girls
There is a statistically significant difference between the proportions of girls and boys reaching the advanced and high benchmarks. Fewer girls are reaching these top benchmarks. At the lower levels however, there is not much difference between the proportions of girls and boys reaching the intermediate and low benchmarks. Similar proportions of girls and boys did not reach the low benchmark (13% and 16% respectively). In terms of the benchmark definitions, these boys and girls who did not reach the low benchmark did not demonstrate some basic mathematical knowledge.Table 12: Proportion of Year 5 students reaching each international benchmark by gender in TIMSS 2006/07
| Gender |
Percentage of Year 5 students reaching each benchmark
|
|||
|
Advanced
|
High
|
Intermediate
|
Low
|
|
| Girls |
4 (0.5)
|
24 (1.3)
|
61 (1.7)
|
87 (1.1)
|
| Boys |
6 (0.8)
|
28 (1.3)
|
60 (1.6)
|
84 (1.4)
|
Note: Standard errors are presented in parentheses.
The proportions of boys and girls reaching each of the benchmarks in 2006 were very similar to 2002 (see Caygill, Sturrock, & Chamberlain, 2007, p. 42). However, in comparison to 1994, proportionally more boys and girls reached the high, intermediate and low benchmarks in 2006. In addition, significantly more boys reached the advanced benchmark in 2006 compared with 1994. For girls, there was no significant difference between the proportions reaching the advanced benchmark in 2006 compared with 1994. Proportionally fewer girls and boys were lower achievers, that is, did not reach the low benchmark, in 2006 compared with 1994.
Achievement on the content and cognitive domains for girls and boys
While there were no overall differences in mean mathematics achievement between girls and boys, there were some distinct differences in terms of the content domains. On average, girls had higher scores in data display, while boys had higher scores in number. Boys and girls performed similarly on the geometric shapes and measures domain and over the cognitive domains.
Table 13: Year 5 mean mathematics scores on the content and cognitive domains by gender
| Content domain |
Mean domain score
|
Cognitive domain |
Mean domain score
|
||
|
Girls
|
Boys
|
Girls
|
Boys
|
||
| Number |
474 (2.9)
|
482 (3.3) ▲
|
Knowing |
482 (2.8)
|
482 (3.1)
|
| Geometric Shapes & Measures |
504 (2.7)
|
500 (2.8)
|
Applying |
494 (2.7)
|
497 (2.7)
|
| Data Display |
517 (3.1) ▲
|
509 (3.1)
|
Reasoning |
503 (3.2)
|
503 (3.2)
|
Note:
▲ mean domain score significantly higher than other gender
Standard errors are presented in parentheses..
Source: Exhibit 3.3 Mullis, Martin, and Foy, 2008.


