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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



Erratum for the TIMSS 2006/07 Mathematics report - Trends in Year 5 mathematics achievement 1994 to 2006: New Zealand results from three cycles of the Trends in International Mathematics and Science Study (TIMSS)

Published December 2008, revised August 2009

Note that in the international datasets for all countries the results for the Knowing and Applying cognitive scores were inadvertently mislabelled so all data labelled Knowing actually pertain to Applying and all data labelled Applying actually pertain to Knowing data. This error has been rectified in the on-line version of this report – any written copies should have this erratum attached.

Pg. 10, para. 5 should read: In the cognitive domains, New Zealand Year 5 students achieved relatively better at tasks that required them to use their reasoning and relatively worse at questions that required demonstrating their knowledge in 2006. In 2002, New Zealand year 5 students showed a relative strength in the reasoning domain (503) and a relative weakness in the applying domain (486).

Pg. 10, Table 4 should look as follows:

 
  Table 4: Year 5 mean mathematics scores on the content and cognitive domains in 2006 
Note: Standard errors are presented in parentheses.
Content domain Mean domain score   Cognitive domain Mean domain score
Number 478 (2.7)   Knowing 482 (2.5)
Geometric shapes and measures 502 (2.3)   Applying 495 (2.3)
Data display 513 (2.6)   Reasoning 503 (2.8)



Pg. 10, para. 7 should read: Looking at Tables 4 and 5 together, it is important to note that the content domain where New Zealand Year 5 students show the greatest strength, data display, had the least number of questions. Similarly, the cognitive area of greatest strength, reasoning, had the least number of questions. The distribution of mathematics questions across the content domains was similar in 2006 to 2002, with a slight increase in data display questions (data in 2002) and corresponding decrease in number questions (number and patterns and relationships in 2002).

Pg. 22, para. 2 should read: In the cognitive domains, New Zealand Year 5 students demonstrated a relative strength in questions that required them to use their reasoning and were relatively worse at questions that required demonstrating their knowledge. None of the other English-speaking or high-performing countries had a pattern quite like this. Scotland’s and Australia’s students demonstrated a relative weakness in the knowing domain and a relative strength in the applying domain. In contrast, Chinese Taipei, Hong Kong SAR, Singapore, England and the United States all showed a relative strength in the knowing domain.

Pg. 28, Table 13 should look as follows:

 
Table 13: Year 5 mean mathematics scores on the content and cognitive domains by gender

Note:  Δ mean domain score significantly higher than other gender.   

Standard errors are presented in parentheses.   

Source: Exhibit 3.3 Mullis, Martin, and Foy, 2008.

Content
      domain
Mean domain score   Cognitive domain Mean domain score
Girls Boys   Girls Boys
Number 474 (2.9) 482 (3.3) Δ   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) Δ 509 (3.1)   Reasoning 503 (3.2) 503 (3.2)


Pg. 46, para. 3 should read: Year 5 students continue to demonstrate relative strengths in aspects of mathematics. They tend to perform relatively better on data display questions compared to number. Students also perform relatively better on questions that involve reasoning compared to questions that assess knowledge.


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