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 …

In this paper the author describes what it is that the Programme for International Student Assessment (PISA) mathematics assessment aims to measure, and presents a case regarding the potential benefits that could flow from a pedagogy that takes the PISA mathematics challenges seriously. Other potential uses of PISA data are also briefly canvassed.

The article provides an overview of the mathematics assessment program of the Organization for Economic Cooperation and Developments’ (OECD) Program for Student Assessment (PISA). As such, it provides a comparative view of the PISA results for Canada, Mexico, and the United States. It outlines the program, its frameworks, and competencies PISA uses to describe the achievement of 15-year-olds in over 40 countries participating in the PISA assessments. Particular attention is given to the PISA conception of mathematical literacy and cross-disciplinary problem-solving. These two areas were a focus of the 2003 assessment. In addition to a discussion of general results, two …

Mathematical literacy has received increasing attention in many countries over the last few years. This is partly driven by concerns of employers that too many students leave school unable to function mathematically at the level needed in the modern world of work. Further, it is increasingly recognised that people can only tackle many of the challenges of modern life effectively if they are mathematically literate in key areas. Planning in personal finance, assessment of risk, design in the home or on the computer screen, and critical appraisal of the flood of statistical information from advertising, politicians and the press — …

An overview of the PISA project is given in order to set a context for a consideration of the ways in which this large international assessment programme uses scientific measurement principles and techniques. The overview describes the goals of the project, its major organisational features (its participants, its procedures and organisational structure, its main implementation steps) and its major technical components (test design, test development, sampling, assessment operations, data scaling and analysis, and reporting). The ways in which measurement principles are used are interwoven with the discussion of the relevant technical components. The paper concludes with a detailed discussion of …