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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

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