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Teacher Education and Development Study in Mathematics - IEA

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36<br />

TEACHER PAY AND STUDENT MATHEMATICS ACHIEVEMENT<br />

3. <strong>Teacher</strong> Relative Pay <strong>and</strong> Student<br />

Performance<br />

Income distribution across countries <strong>and</strong> student performance<br />

If better student performance is positively related to higher relative teacher pay because<br />

of a more equal <strong>in</strong>come distribution, we could expect, for example, that societies with<br />

a more equal <strong>in</strong>come distribution will generally be societies with relatively equitable<br />

pay scales across occupations. Thus, differences between teacher pay <strong>and</strong> pay <strong>in</strong> other<br />

occupations are likely to be smaller <strong>in</strong> these societies than <strong>in</strong> societies marked by<br />

large <strong>in</strong>come <strong>in</strong>equalities. One question we consequently decided to explore was this:<br />

Does student performance across countries <strong>and</strong> regions of countries relate to <strong>in</strong>come<br />

<strong>in</strong>equality? We considered that an answer to this question would provide a clue as to<br />

whether the ma<strong>in</strong> story about student performance <strong>and</strong> teacher pay is about <strong>in</strong>come<br />

distribution rather than societal emphasis on pay<strong>in</strong>g teachers more.<br />

To test the proposition that student performance may relate to <strong>in</strong>come <strong>in</strong>equality at the<br />

national level, we used the reported results of two <strong>in</strong>ternational tests of mathematics—<br />

Trends <strong>in</strong> International <strong>Mathematics</strong> <strong>and</strong> Science <strong>Study</strong> (TIMSS), adm<strong>in</strong>istered by<br />

the International Association for the Evaluation of <strong>Education</strong>al Achievement (<strong>IEA</strong>),<br />

<strong>and</strong> Progress <strong>in</strong> International Student Achievement (PISA), adm<strong>in</strong>istered by the<br />

Organisation for Economic Co-operation <strong>and</strong> <strong>Development</strong> (OECD).<br />

The TIMSS assessment measures have been given to fourth <strong>and</strong> eighth graders <strong>in</strong> many<br />

countries over several iterations: 1995 (also given to seventh graders <strong>in</strong> this year), 1999,<br />

2003, <strong>and</strong> 2007. TIMSS focuses on mathematics <strong>and</strong> science. The PISA assessment<br />

measures have also been adm<strong>in</strong>istered <strong>in</strong> many countries—to 15-year-olds—with<br />

iterations occurr<strong>in</strong>g <strong>in</strong> 2000, 2003, <strong>and</strong> 2006. PISA focuses on mathematics, science,<br />

<strong>and</strong> read<strong>in</strong>g. The two programs of study have somewhat different purposes: TIMSS is<br />

more <strong>in</strong>terested <strong>in</strong> assess<strong>in</strong>g the effect of curriculum differences across countries; PISA<br />

is more concerned with how well students are learn<strong>in</strong>g critical th<strong>in</strong>k<strong>in</strong>g skills needed for<br />

work<strong>in</strong>g <strong>in</strong> the 21st-century labor market.<br />

We estimated the relationship of the average test scores on the studies’ tests to <strong>in</strong>come<br />

<strong>in</strong>equality, controll<strong>in</strong>g for GDP per capita <strong>and</strong> us<strong>in</strong>g <strong>in</strong>come <strong>in</strong>equality data from all<br />

countries participat<strong>in</strong>g <strong>in</strong> TIMSS <strong>and</strong> PISA for which such data were available. There<br />

are many measures of <strong>in</strong>come <strong>in</strong>equality; each has its particular advantages <strong>and</strong><br />

disadvantages <strong>in</strong> estimat<strong>in</strong>g the distribution of <strong>in</strong>come. For our estimates, we used the<br />

G<strong>in</strong>i coefficient. We took our estimates of the coefficients from two large databases<br />

assembled by the World Bank (World Bank, 2005; see also De<strong>in</strong><strong>in</strong>ger & Squire, 1996).<br />

We regressed the average mathematics scores <strong>in</strong> each test by country on the most recent<br />

G<strong>in</strong>i coefficient (multiplied by 100) available for that country <strong>and</strong> the GDP per capita <strong>in</strong><br />

purchas<strong>in</strong>g power parity dollars (PPP$) for the year 2000. For each test, the relationship<br />

between average test score <strong>and</strong> the G<strong>in</strong>i coefficient was negative <strong>and</strong> statistically<br />

significant. The coefficient for the GDP per capita was positive <strong>and</strong> usually statistically<br />

significant (except for TIMSS 1995). Table 4 presents the results. The results suggest<br />

that the more equal the <strong>in</strong>come distribution <strong>and</strong> the higher the GDP per capita <strong>in</strong> a<br />

country, the more likely it will be that students atta<strong>in</strong> the higher average test scores. We<br />

also tried other specifications, <strong>in</strong>clud<strong>in</strong>g controll<strong>in</strong>g for the country’s total population

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