The Vice: Some Historically Inspired and Proof-Generated Steps to Limits of Sequences     

Bob?BurnEmail author 《Educational Studies in Mathematics》2005,60(3):269-295

This paper proposes a genetic development of the concept of limit of a sequence leading to a definition, through a succession of proofs rather than through a succession of sequences or a succession of εs. The major ideas on which it is based are historical and depend on Euclid, Archimedes, Fermat, Wallis and Newton. Proofs of equality by means of inequalities precede the notion of limit. For example, the determination of the volume of a pyramid precedes the definition of limit. The algebraic details given here are anachronistically modern, and the notion of a vice between two inequalities which provides the distinctive perspective of this paper would not have been recognized in this form by any of the named mathematicians since it presumes the existence of negative numbers and their comparability in a modern sense with positive numbers.  相似文献   

An Organizational Analysis of Multiple Perspectives of Effective Teaching: Implications for Teacher Evaluation     

Bob L. Johnson Jr 《Journal of Personnel Evaluation in Education》1997,11(1):69-87

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The nice,the naughty and the nasty: the tiny world of Enid Blyton     

Bob Dixon 《Children‘s Literature in Education》1974,5(3):43-61

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Narratives of Schooling and the Construction of Pupilhood     

Hilary Burgess  Bob Carter 《Discourse: Studies in the Cultural Politics of Education》1996,17(1):15-24

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Paradigms in curriculum development: Critical comments on the work of Tanner and Tanner     

Bob Jickling 《Interchange》1988,19(2):41-49

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THE USES OF TELEVISION IN TEACHING PSYCHIATRY     

David Goldberg  Bob Kendell  Dr. Peter Maguire 《Learning, Media and Technology》1980,6(1):21-24

The A.U.T.P. Working Party on the Applied Uses of Television was set up after the A UTP/ASME Conference on Undergraduate Education in Psychiatry and Behavioural Science held in Manchester in 1971. A group of Position Papers on the Uses of Television in Teaching Psychiatry has been published by the Working Party (AUTP, 1977), under the chairmanship of Professor David Goldberg. By his kind permission, two of these papers are here reprinted: one concerns the uses of television in undergraduate teaching of psychiatry; the other, ethical aspects of the use of television in psychiatry.  相似文献   

Redefining a ‘national agenda’ in education: The states fight back     

Leo Bartlett  John Knight  Bob Lingard  Paige Porter 《The Australian Educational Researcher》1994,21(2):29-44

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Recouping and rethinking the effects of summer vacation on reading achievement     

Shawnna Helf  Moira Konrad  Bob Algozzine 《Journal of Research in Reading》2008,31(4):420-428

Vacations may have detrimental effects on maths and spelling performance, but the findings for reading are less conclusive. The purpose of this study was to analyse the effects of summer vacation on early literacy skills of young children. Participants included rising first and second‐graders, most of whom were at‐risk, struggling readers. No evidence of summer setback was evident for this sample of children; in fact, gains in reading (or, recoupment of any losses) were more common in children performing at lower levels than for those with higher scores at the end of the school year. Our outcomes are different from those reported by other researchers. We explain this with attention to the content of our comparisons, the grade levels investigated and measures used to assess performance, and discuss implications for future research based on our findings.  相似文献   

Higher Education in Hong Kong: the context of and rationale for rapid expansion     

P. Morris  J. A. G. McClelland  Yeung Yat Ming 《Higher Education》1994,27(2):125-140

Hong Kong is now engaged in implementing a programme designed rapidly to expand its Higher Education sector. This policy will effectively shift the role of higher education away from providing for the needs of a small and elite segment of school leavers to one which provides for a significant proportion of the relevant age cohort.The paper initially identifies the factors which have contributed to the emergence of the new policy. Central amongst these is the impending return of Hong Kong's sovereignty to the PRC in 1997. Subsequently the policy is analysed with reference to the context within which it will be implemented. This includes the shifting demographic structure, the level of emigration and the number of students who study overseas. Finally the paper anticipates the probable impact of the expansion on both higher education itself and on other sectors within the education system.  相似文献   

Seryozha’s Education     

Bob Blaisdell 《Changing English: An International Journal of English Teaching》2015,22(4):378-381

This is discussion of one of Leo Tolstoy’s fictional dramatisations of aggressive but dull-witted pedagogy. In Anna Karenina, two adults badger a lively, deep-souled, active-minded boy, Anna’s son Seryozha, to learn his rote-lessons.  相似文献