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Title: Generally speaking : exploring expressions of generality in secondary mathematics classrooms
Author: Drury, Helen Louise
Awarding Body: Open University
Current Institution: Open University
Date of Award: 2008
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It is widely recognised that generality is at the heart of the learning and teaching of mathematics. Motivated by a desire to understand what it is about generality which presents such an obstacle for so many students, this study examines the variety and complexity of ways in which generality is expressed in mathematics classrooms. Systematic reflection on my own experience of teaching over a year revealed a wide range of types. The main study then analyses transcripts of fifty-two lessons taught by six teachers teaching at least four hundred students, sampled over a period of two months. The focus is on 'ordinary' lessons where expression of generality is not the main objective. Informed by the literature, observation notes and student work, a framework is developed with five categories used to distinguish between types of generalisations, which emerge from the transcribed data . These categories are: the object of generalisation, its presumed longevity of relevance, its justification, its origin and the wareness being promoted.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available