Ethnomathematical research and drama in education techniques: developing a dialogue in a geometry class of 10th grade students

Ethnomathematical research, together with digital technologies (WebQuest) and Drama-in- Education (DiE) techniques, can create a fruitful learning environment in a mathematics classroom—a hybrid/third space—enabling increased student participation and higher levels of cognitive engagement. This article examines how ethnomathematical ideas processed within the experiential environment established by the Drama-in-Education techniques challenged students‘ conceptions of the nature of mathematics, the ways in which students engaged with mathematics learning using mind and body, and the ̳dialogue‘ that was developed between the Discourse situated in a particular practice and the classroom Discourse of mathematics teaching. The analysis focuses on an interdisciplinary project based on an ethnomathematical study of a designing tradition carried out by the researchers themselves, involving a search for informal mathematics and the connections with context and culture; 10th grade students in a public school in Athens were introduced to the mathematics content via an original WebQuest based on this previous ethnomathematical study; Geometry content was further introduced and mediated using the Drama-in-Education (DiE) techniques. Students contributed in an unfolding dialogue between formal and informal knowledge, renegotiating both mathematical concepts and their perception of mathematics as a discipline.

Representing temporal knowledge in legal discourse

This paper presents a formalism for representing temporal knowledge in legal discourse that allows an explicit expression of time and event occurrences. The fundamental time structure is characterized as a well‐ordered discrete set of primitive times, i.e. non‐decomposable intervals with positive duration or points with zero duration), from which decomposable intervals can be constructed. The formalism supports a full representation of both absolute and relative temporal knowledge, and a formal mechanism for checking the temporal consistency of a given set of legal statements is provided. The general consistency checking algorithm which addresses both absolute and relative temporal knowledge turns out to be a linear programming problem, while in the special case where only relative temporal relations are involved, it becomes a simple question of searching for cycles in the graphical representation of the corresponding legal text.

[Conference report] Magic and mathematics: The life and work of John Dee. National Maritime Museum, Greenwich, 13-14 June 2003

Tony Mann provides a report of a two-day meeting "Magic and mathematics: The life and work of John Dee" held from 13-14 June 2003 at the National Maritime Museum, Greenwich.

[Book review] Mathematics and Culture II

Review of Mathematics and Culture II. Visual Perfection: Mathematics and Creativity, Michele Emmer (Ed.), Springer, 2005 ISBN: 978-3-540-21368-0

BSHM meetings: BMS History of Mathematics Splinter Group

Introduction to abstracts from papers given at BMS History of Mathematics Splinter Group, held 17 April 2007, in Swansea.

BSHM meetings: British Mathematics Colloquium

Report on the British Mathematics Colloquium, which took place in York, 25-28 March 2008. Also includes abstracts of the individual talks.

[BSHM meetings] Topics in the history of financial mathematics: early commerce to chaos in modern stock markets

This account provides an overview of the study day, entitled 'Topics in the History of Financial Mathematics: Early commerce to chaos in modern stock markets,' held by the British Society for the History of Mathematics jointly with Gresham College, at Gresham College, London on 25th April 2008. The series of talks explored the development of mathematics and mathematical techniques in a commercial and financial context.

Reviews: making mathematics with needlework

Review of Making Mathematics with Needlework, edited by Sarah-Marie Belcastro and Carolyn Yackel, published by AK Peters Ltd, 2007 (ISBN 978-1-56881-331-8).

[Book review] Collaborative learning in mathematics

Review of: Collaborative Learning in Mathematics: A challenge to our beliefs and practices by Malcolm Swan, National Institute of Adult Continuing Education, paperback £24.95, ISBN 981-1-86201-311-7; hardback £44.95, ISBN 978-1-86201-316-2.

Some issues on assessment methods and learning in mathematics and statistics

This paper looks at the application of some of the assessment methods in practice with the view to enhance students’ learning in mathematics and statistics. It explores the effective application of assessment methods and highlights the issues or problems, and ways of avoiding them, related to some of the common methods of assessing mathematical and statistical learning. Some observations made by the author on good assessment practice and useful approaches employed at his institution in designing and applying assessment methods are discussed. Successful strategies in implementing assessment methods at different levels are described.

Socialising young literacy learners into a discourse of failure: Dominant discourses in literacy teaching and assessment and their impact on the progression of young literacy learners into employment

This paper argues that contemporary literacy programmes are a mismatch for the expectations of both the government and employers as well as the goals of learners. It submits that the dominant discourses in literacy provision have led to the emergence of a learning culture which not only fails the learners but is also incapable of meeting the aspirations of both the government and employers. To support this argument, the paper reports a small scale research project that analyses the perceptions of learners, teachers and employers who were involved in a work placement scheme for young literacy learners in a college of further education. Data for the study were collected through focus group and face to face interviews and analysed using the framework of discourse analysis provided by Gill (2000) with findings codified and analysed thematically. The study found that teachers were aware that their learners were not adequately prepared for the world of work because of the demands of the dominant discourses of quality and performance measurement which were most obviously manifested in their assessment, teaching methods and the attitudes of learners. It found that employers perceive young learners as inadequate in terms of the workplace expectations. Learners in the study revealed that their workplace culture and expectations were totally different from the culture to which they had been socialised in their studies. The study concludes that unless the dominance of these discourses is ameliorated, young literacy learners will continue to be socialised into a discourse of failure.

Discourse and soul: Jung, literature, science and tragedy as mythical writing

This paper will propose that literature and science, far from being discrete spheres of cultural activity, are, in fact, the cultural expressions of interlocking myths. They therefore overlap and even take each other’s places, as examination of the ‘science’ of C.G. Jung and the ‘art’ of a writer such as John Cowper Powys, will show. ‘Dis-course’, I argue, is the material aspect of the mythical structuring of psychic experience. In the work of Jung and Powys, discourse is the articulation of the soul in the world that spans personal, social, natural and cosmic space. [From the Author]

‘Reason’ and ‘tickle’ as pragmatic constructs in the discourse of advertising

This paper explores certain pragmatic features of advertising discourse. It focuses on and expands upon a binary distinction between types of advertising discourse which was proposed initially by Bernstein (1974) and which has been touched upon more recently by other commentators such as Cook (1992). This is the distinction between reason advertisements (those which suggest a motive or reason for purchase) and tickle advertisements (those which appeal to humour, emotion and mood). It will be argued that Bernstein's distinction can be accommodated relatively systematically within contemporary frameworks of language and discourse. Drawing on a range of work in pragmatics and in systemic-functional linguistics, this paper takes some tentative steps towards the development of a theoretical model with accounts for this particular communicative-cognitive dimension of advertising discourse.