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Using Competencies To Explain Mathematical Item Demand: A Work In Progress, Ross Turner, Werner Blum, Morgens Niss
Using Competencies To Explain Mathematical Item Demand: A Work In Progress, Ross Turner, Werner Blum, Morgens Niss
Ross Turner
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 …
Lessons From Pisa For Mathematical Literacy, Ross Turner
Lessons From Pisa For Mathematical Literacy, Ross Turner
Ross Turner
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?"