A common claim about mathematics education is that it should equip students to use mathematics in the 'real world'. In this article, we examine how relationships between mathematics education and the real world are materialised in the curriculum across a sample of eleven jurisdictions. In particular, we address the orientation of the curriculum towards application of mathematics, the ways that real-world contexts are positioned within the curriculum content, the ways in which different groups of students are expected to engage with real-world contexts, and the extent to which high-stakes assessments include real-world problem solving. The analysis reveals variation across jurisdictions and some lack of coherence between official orientations towards use of mathematics in the real world and the ways that this is materialised in the organisation of the content for students.Keywords: mathematics; real-world contexts; modelling; curriculum;International Instructional System Study; Center for International Education Benchmarking.
IntroductionEducation systems around the world tend to value mathematics as a school subject that is not only studied by a large majority of students throughout the years of compulsory schooling but is also widely used as a key indicator of the success of individual students (as a necessary or highly desirable component of school leaving qualifications) and of education systems themselves (as measured by international testing regimes such as PISA and TIMSS). Various reasons may be offered for the importance attached to mathematics as a part of the school curriculum; among these is the claim that mathematics has a functional role in relation to participation in the 'real world' beyond the mathematics classroom. The question of the nature of the relationship between school mathematics and the real world arose for us during a review of curriculum documents for primary and secondary mathematics from eleven jurisdictions, carried out as part of the International Instructional Systems Study (see Creese, Gonzalez & Isaacs, this issue). As we reviewed the aims, content and assessment materials from the various jurisdictions, we began to notice differences in the ways that applications of mathematics in the real world were conceptualised, integrated into the mathematical content and materialised in assessment instruments. In this article we attempt to map out this variation across the jurisdictions studied and raise questions about the coherence of the conceptualisation and instrumentation of the mathematics -real world relationship within individual jurisdictions.
BackgroundThe function of mathematics within the curriculum has long been a source of difference and debate. Opinions range from seeing the study of mathematics as introducing students to part of their cultural heritage, similar to the study of literature or history, to considering mathematics as mental training for the elite or the rational human, or primarily as a tool to enable students to engage successfully in study of other subjects,...