Curricular orientations to real-world contexts in mathematics

A common claim about mathematics education is that it should equip students to use mathematics in the ‘real world’. In this paper, 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

Summative and Formative Assessment

Assessment is critically important to education both for accreditation and to support learning. Yet the literature dealing with formative and summative assessment definitions and terminology is not aligned. This article reports an empirical small-scale study of lecturers in Education at an English university. The research posits that these lecturers, owing to the inconsistencies and infelicities in the literature, will have an incomplete and unharmonious understanding of summative and formative assessment and the relationship between the two. The results show that lecturers' understanding of assessment terminology and relationships reflects the fragmented theoretical and practical frameworks available. This study would seem to signal the need for us all to examine our assessment processes in order to (i) be clear and explicit on what we do, (ii) understand how assessment processes relate to each other, and (iii) evaluate how they impact on our practice and our students

The experience of collaborative assessment in e-learning.

ABSTRACT This paper examines the various ways in which students talk about their experience and perceptions of collaborative review and assessment as it occurs in e-learning environments. Collaborative review and assessment involves the student, their peers and tutor in thoughtful and critical examination of each student’s course work. The process involves two stages: review and discussion of the student’s work with a view to bringing different critical yet supportive perspectives to the work. This is followed by the use of two sets of criteria to make judgements on the student’s work: one set provided by the student, the other by the tutor. The purpose of collaborative assessment is to foster a learning approach to assessment and to develop a shared power relationship with students. From analysis of face-to-face interviews, examination of e-learning discussions and student-completed questionnaires, a set of analytic categories was built describing the learners’ experiences of collaborative e-assessment. These categories are: (1) the appropriateness of collaborative assessment; (2) collaborative assessment as a learning event; and (3) the focus for assessment. The paper focuses on analysing and discussing these categories of experience. The research shows that a positive social climate is necessary in developing and sustaining collaborative assessment and that this form of assessment helps students to reduce depen-dence on lecturers as the only or major source of judgement about the quality of learning. Students develop skill and know-how about self- and peer assessment and see themselves as competent in making judgements about their own and each other’s work, which are surely good lifelong learning skills