The achievement of Australia's Indigenous students in PISA ... - ACER
The achievement of Australia's Indigenous students in PISA ... - ACER
The achievement of Australia's Indigenous students in PISA ... - ACER
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Chapter<br />
3<br />
Mathematical<br />
literacy<br />
In <strong>PISA</strong> 2003 the ma<strong>in</strong> focus <strong>of</strong> assessment was mathematical literacy. In this cycle the<br />
mathematical literacy framework was expanded and pr<strong>of</strong>iciency levels were def<strong>in</strong>ed and described<br />
for mathematical literacy overall, as well as for four subscales.<br />
This chapter starts with a description <strong>of</strong> mathematical literacy and how this doma<strong>in</strong> is measured 8 .<br />
<strong>The</strong> subsequent sections exam<strong>in</strong>e the performance <strong>of</strong> <strong>Indigenous</strong> and non-<strong>Indigenous</strong> <strong>students</strong> <strong>in</strong><br />
mathematical literacy <strong>in</strong> the <strong>PISA</strong> assessments.<br />
Def<strong>in</strong>ition <strong>of</strong> mathematical literacy<br />
<strong>The</strong> <strong>PISA</strong> mathematical literacy doma<strong>in</strong> focuses on the capacities <strong>of</strong> <strong>students</strong> to analyse, reason<br />
and communicate ideas effectively as they pose, formulate, solve and <strong>in</strong>terpret mathematical<br />
problems <strong>in</strong> a variety <strong>of</strong> situations. <strong>The</strong> <strong>PISA</strong> assessment framework def<strong>in</strong>es mathematical literacy<br />
as:<br />
…an <strong>in</strong>dividual’s capacity to identify and understand the role that mathematics plays <strong>in</strong><br />
the world, to make well-founded judgements and to use and engage with mathematics<br />
<strong>in</strong> ways that meet the needs <strong>of</strong> that <strong>in</strong>dividual’s life as a constructive, concerned and<br />
reflective citizen.<br />
(OECD, 2006, p.72)<br />
In this conception, mathematical literacy is about meet<strong>in</strong>g life needs and function<strong>in</strong>g <strong>in</strong> society.<br />
Mathematical literacy is expressed through us<strong>in</strong>g and engag<strong>in</strong>g with mathematics, mak<strong>in</strong>g<br />
<strong>in</strong>formed judgements, and understand<strong>in</strong>g the usefulness <strong>of</strong> mathematics <strong>in</strong> relation to the demands<br />
<strong>of</strong> life.<br />
<strong>The</strong> <strong>PISA</strong> mathematics assessment directly confronts the importance <strong>of</strong> the functional use<br />
<strong>of</strong> mathematics by plac<strong>in</strong>g primary emphasis on a real-world problem situation, and on the<br />
mathematical knowledge and competencies that are likely to be useful <strong>in</strong> deal<strong>in</strong>g effectively with<br />
such a problem. <strong>The</strong> <strong>PISA</strong> mathematics framework was written to encourage an approach to<br />
teach<strong>in</strong>g and learn<strong>in</strong>g mathematics that gives strong emphasis to the processes associated with<br />
confront<strong>in</strong>g a problem <strong>in</strong> a real-world context, transform<strong>in</strong>g the problem <strong>in</strong>to one amenable to<br />
mathematical treatment, mak<strong>in</strong>g use <strong>of</strong> the relevant mathematical knowledge to solve it, and<br />
evaluat<strong>in</strong>g the solution <strong>in</strong> the orig<strong>in</strong>al problem context. If <strong>students</strong> can learn to do these th<strong>in</strong>gs,<br />
they will be much better equipped to make use <strong>of</strong> their mathematical knowledge and skills<br />
throughout their lives.<br />
8 Information about the mathematical literacy assessment framework has been taken from the <strong>PISA</strong> 2006<br />
National Report, Explor<strong>in</strong>g Scientific Literacy: How Australia measures up.<br />
<strong>The</strong> <strong>achievement</strong> <strong>of</strong> Australia’s <strong>Indigenous</strong> <strong>students</strong> <strong>in</strong> <strong>PISA</strong> 2000 – 2006 23