Education Commons^™

This chapter describes theoretical and practical issues associated with the development and use of a rating scheme for the purpose of analysing mathematical problems—specifically, to assess the extent to which solving those problems calls for the activation of a particular set of mathematical competencies. The competencies targeted through the scheme are based on the mathematical competencies that have underpinned each of the PISA Mathematics Frameworks. The scheme consists of operational definitions of the six competencies (labelled as communication; devising strategies; mathematisation; representation; using symbols, operations and formal language; and reasoning and argument), descriptions of four levels of activation of …

This presentation focuses on the mathematical components of the results from PISA and PIAAC. Do the two assessments of mathematical skills assess similar or related skills or are they assessing different skills and abilities? What do the two surveys show regarding the mathematical abilities of young people and adults across Australia?  What can young people and adults do in maths? What can’t they do? What insights do PISA and PIAAC provide about the teaching and learning of mathematics? What are the implications for both policy and practice in schools and vocational, adult and workplace education? What are the challenges Australia …

Drawing on results from Australia's performance in PISA, the author asks: "How do we encourage our students to see their world through mathematical lenses?"