Science and Mathematics Education Commons^™

This paper reports an analysis of features of mathematics assessment items developed for the OECD’s Programme for International Student Assessment survey (PISA) in relation to a set of six mathematical competencies. These competencies have underpinned the PISA mathematics framework since the inception of the PISA survey; they have been used to drive mathematics curriculum and assessment review and reform in several countries; and the results of the study are therefore likely to be of interest to the broad mathematics education community. We present a scheme used to describe this set of mathematical competencies, to quantify the extent to which solution …

This article is based on the author's presentation to ACER's Research Conference 2010 that introduced a set of mathematical competencies that deserve to be given more attention in our mathematics classrooms, on the grounds that the possession of these competencies relates strongly to increased levels of mathematical literacy. These competencies are: communication; mathematising; representation; reasoning and argument; strategic thinking; and using symbolic, formal and technical language and operations. The author argues that widespread under-representation of these competencies among the general populace contributes to unacceptably large measures on the mathematics terror index. The argument in support of these competencies comes out …

The need for mathematical literacy in our world today and shares results from the 2003 PISA assessment of mathematical literacy. Includes ideas for incorporating similar problems in the classroom. Several examples of PISA problems are included, as well an internet address where other released PISA test items can be found.

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 …