Mathematical education for geographers

Abstract

The mathematical topics which are of use to geography students are outlined, as are the methods used for teaching mathematical techniques in geography courses at Leeds over the last few years. The concluding section relates practice to goals, and the problems of providing the student with a framework into which he can fit all the pieces of knowledge he has acquired. Possible future developments are reviewed briefly in the light of the development of new mathematical techniques on the one hand, and criticisms of the existing state of the art on the other. The subject matter of the paper is limited to mathematical education, and there is only indirect and brief concern with statistics.     

Exploratory data analysis for geographers

Interactive data analysis – A practical primer, McNeil, Donald R. (1977) New York: Wiley, (0–471–02631–X), 186pp, £7.00

Exploratory data analysis, Tukey, John W. (1977) Reading, Mass: Addison – Wesley, (0–201–07616–0), 688pp, £14.40

Data analysis and regression – A second course in statistics, Mosteller, Frederick and Tukey, John W. (1977) Reading, Mass: Addison – Wesley, (0–201–04854–X), 588pp, £14.40     

Geolibraries: geographers, librarians and spatial collaboration

Geography, GIS and GIScience are closely aligned with the emergence of 'geolibraries'. Geolibraries are also coincident with the metaphor of 'Digital Earth'. The growth in these areas of research and practice can be traced to collaborations among multiple disciplines. Geography and library science stand out as interesting partners. At first glance it may seem that it would be difficult to find common ground for such collaboration. The reality is that the two communities have been closer for longer than most may think. Such collaboration does, however, face unique challenges in a Canadian context, and collaborations thus far have been more successful in the United States. This paper reviews issues at the intersection of GIS and libraries and offers suggestions for further spatial collaboration in Canada within the context of geolibraries and GIScience .     

Debugging geographers: teaching programming to non-computer scientists

The steep learning curve associated with computer programming can be a daunting prospect, particularly for those not well aligned with this way of logical thinking. However, programming is a skill that is becoming increasingly important. Geography graduates entering careers in atmospheric science are one example of a particularly diverse group who often require a better knowledge and understanding of computing. Critically, there is a necessity in the field for people with a diverse range of data analysis and modelling abilities. This article outlines the module design and evaluation of an introductory programming course for non-computer scientists within a UK geography department.     

Agglomeration and growth: a dialogue between economists and geographers

This special issue contains papers by both economists and geographerson agglomeration and growth. In this introduction, we firstprovide a brief sketch of recent developments in the interactionbetween economists and geographers. We then propose some contextualbackground to make it easier for geographers to approach theeconomics papers of this issue and conversely. Finally, specificareas of overlapping interests to the two disciplines are alsohighlighted.     

Preparation for teaching in a research degree: a model to prepare geographers for academic careers

This paper considers the possibility of overt political disagreement between human geographers and their students. Recent literature suggests that geographers should encourage their students to become more politically engaged through innovative teaching methods that could include frank discussion of the various positions taken by lecturers and students alike. Yet this same strategy could easily run against established pedagogical arguments about how teacher neutrality gives students the space to develop their views in whatever direction they choose. This paper investigates the practical management of this tension by drawing on qualitative interviews with a sample of current practitioners that centred on the occasions when personal politics have previously featured in their undergraduate teaching. It describes why overt political discussion is often squeezed out of these encounters, the careful ways in which these academics manage their political views during the times when such discussion occurs along with the degree to which they felt they should reveal them, and how students themselves commonly seemed to perform opinion in a relatively superficial way because doing so could be much less stressful. The conclusion that follows reflects on the broader implications of these findings for current debate and future practice in the discipline where it particularly emphasizes the importance of being sensitive to the interpersonal dynamics at hand.     

马克思主义民族理论中国化历史进程的规律性探讨

中国共产党在80多年的历史进程中,始终坚持把马克思主义理论与中国民族问题具体实际相结合,不断进行理论探索、不断推动实践发展,走出了一条具有中国特色的处理民族问题的成功道路.马克思主义民族理论中国化的历史进程,即是对这一过程的理论表达,中国化马克思主叉民族理论则是这一过程产生的理论成果.     

A test for geographers: the geography of educational achievement in Toronto and Hamilton, 1997

The recent introduction of standardised achievement tests in several provinces has created an opportunity for Canadian geographers to contribute to public and theoretical debates. Geographers are well‐equipped to comprehend and analyse the effects that neighbourhoods have upon pupil achievement. Independent of family background and school funding, such effects may be stronger in education than in other fields, such as voting behaviour and health research, but they have been ignored in recent public debates. They should be considered if informed judgements are to be made about whether specific teachers, schools, and boards are doing an adequate job. Analysis of the Ontario Grade 3 test results for 1997 in public schools in the City of Toronto and in Hamilton‐Wentworth indicate that social class had a greater effect on pupil achievement than language background. Differences in the determinants of achievement between these two urban centres may be attributable to local variations in occupational structure and residential patterns. L'introduction récente en éducation des tests de compêtences standardisés, dans plusieurs provinces, offre aux géographes canadiens l'occasion de contribuer aux débats publics et théoriques. Les géographes sont bien placés pour comprendre et analyser les effets de quartier sur le rendement scolaire des élèves. Indépendamment du milieu socioculturel et du financement scolaire, ces effets ont peut être plus d'impact en éducation que dans les domaines tels que le comportement électoral et la recherche dans le milieu de la santé, cependant, ils demeurent à l'écart des débats publics. Ces éléments doivent être considérés si l'on prétend juger en connaissance de cause l'efficacité et le rendement des écoles, le corps enseignant et les conseils scolaires. L'analyse des résultats d'examens de l'Ontario en 1997, pour les élèves des écoles publiques de la troisième année des villes de Toronto et Hamilton‐Wentworth, démontre que la réussite scolaire est plus liée au niveau socio‐économique qu'à l'origine linguistique. La divergence des facteurs de réussites des deux centres urbains est peut‐être attribuable aux variations des structures d'occupation locales et résidentielles.     

Composing our careers: Susan Hanson's contributions to geography and geographers

Susan Hanson's career exemplifies the notion that our lives are compositions rather than predictable, linear trajectories. In this essay I argue that Susan's career is an empowering example of a collage of woven-together life experiences, substantive research interests, feminist values and progressive professional practices. I illustrate these ideas through three compositions that I trace throughout Susan's career: networking gender; caring geography; and reproducing geography. Susan's work connects and validates the diverse elements of our lives through her scholarship, her commitment to feminist values and her disciplinary leadership.     

The search for historical experience

In the first part of my paper I will try to reconstruct a series of attempts at dialogue between history and the social sciences made by historians connected with the “Annales” (Marc Bloch, Ernest Labrousse, Giovanni Levi, Bernard Lepetit). What these attempts have in common is the idea that in history, as in the natural sciences, it is to some extent possible to carry out forms of experimentation on the sources, and that the inclusion of history among the human sciences, and even the scientific future of the discipline itself, ultimately depend on the adoption of this method. In the second part I will discuss the relationship that links historical experimentation with lived experience, and I will conclude by discussing the possible meaning of the idea of experimenting with the sources of history.     

Geography, geographers and the New Dictionary of National Biography

Work on a new edition of the Dictionary of National Biography (DNB) is beginning at the University of Oxford with support from the British Academy and Oxford University Press. The new edition like the old will collate signed biographical memoirs of individuals to form the definitive biographical record of British life. The new edition will include the lives of many people, such as women, popular entertainers and people important outside the metropolis, who were inadequately covered in the original edition. In doing so it will help redefine the concepts of "the nation" and "national life." New technology for sorting and manipulating data will greatly enhance the usefulness of the New DNB. Geographers have much to contribute to the project and their assistance is sought.     

Teaching introductory GIS programming to geographers using an open source Python approach

Computer programming is not commonly taught to geographers as a part of geographic information system (GIS) courses, but the advent of NeoGeography, big data and open GIS means that programming skills are becoming more important. To encourage the teaching of programming to geographers, this paper outlines a course based around a series of laboratories that aims to provide an introduction to programming. Methods for teaching and assessment are recommended. These laboratories use core spatial concepts that are relevant for all areas of geographic study, and use an open source Python approach that has wider logistical and pedagogical benefits.