This thesis explores the range of strategies used for educational provision for gifted children in mathematics in a group of schools in England. A review of literature relating to international theory and existing research in gifted education and empirical work into the teaching of gifted mathematicians were carried out. The literature review examined the dominant theories of intelligence and giftedness in general, including the historical background of definitions of giftedness and methods for its measurement, before specifically focusing on the concept of mathematical giftedness. The study was located in primary schools within Greater London, where schools are required to implement the ‘Gifted and Talented’ policy of the UK government. The research was conducted in two stages during the school years 2007-2008 and 2008-2009. The first stage involved a questionnaire survey sent to primary schools within five Local Educational Authorities. For the second stage of the research, which constituted the main study, a case study approach was used. The main methods of data collection employed within the case study were observations of mathematics lessons, semi-structured interviews with children nominated as able or gifted mathematicians and their teachers, as well as analysing documentary evidence (i.e., school policy, teacher’s planning, children’s assessment records and children’s written work). It was found that schools were responding to the policy in pragmatic terms, although no specific training was provided for practising teachers or school co-ordinators as part of the national training programme in making provision for mathematically gifted children. In practice, in classrooms, it was found that teachers’ level of confidence and expertise, the level of focused attention given to gifted children, the level of support and extension through higher-order questioning, as well as the size of the class and the nature of the work set were factors which affected the progress, perceptions and attitudes of children who were nominated to be able mathematicians. There is a paucity of research which has investigated aspects of provision for gifted and talented children, particularly in mathematics, in the UK. By specifically addressing this topic, this study makes a distinct contribution to current literature in both understanding aspects of mathematical giftedness and the range of provision used. This study makes a particular contribution to finding out how practising teachers in England are responding to a government initiative, which should be of interest to both policy-makers and practitioners. This thesis also presents examples for organising and teaching mathematics to gifted children at higher cognitive levels, within regular classrooms; this may be of interest to audiences internationally, including countries where there are no policies of provision for mathematically gifted children.

The purpose of this study was to compare three different types of programming options for identified gifted and talented middle school students.

The purpose of this study was to determine and investigate -the criteria used to identify artistically gifted children and attempt to determine their validity. Sources of data included interviews with art teachers, interviews with children in combination with observations, and observations of characteristics cited in the literature. With one exception, the criteria which these art teachers used to identify artistically gifted children correlate with criteria found in the literature. There appeared to be, however, some characteristics with which these art teachers were not familiar. One characteristic found in the literature was neither listed by these art teachers nor observed by the investigator. Results indicated that these art teachers may value different types of characteristics than the experts.

The purpose of this research was to determine the interrelationship of self-concept, motivation and achievement in gifted and talented primary school children in a variety of groupings. An initial study of two groups was used. The experimental group consisted of 24 gifted and talented students in a homogenous class of gifted and talented students in a primary school in Metropolitan area of Sydney. The group consisted of 13 boys and 11 girls aged between 9-12 years. The comparison group was matched for age, gender and IQ and attended mixed ability classes in four local primary schools. Each group completed a Self Description Questionnaire at the start of the school year and six months later. The SDQ was administered 12 months later to both groups. The academic self-concept of the experimental group was diminished after six months and remained diminished for the 12 month follow-up study. There was no difference in non-academic self-concept between the experimental and comparison groups. Study 2 was a qualitative study of each parent’s response to their child’s experience in the gifted and talented class by asking them for their perception of the special class placement on their child using an open ended structured interview. Study 3 analysed data from a wider group of gifted and talented students in a Metropolitan area of Sydney, on an academic self-concept and motivation, reading and mathematics achievement. From this analysis the interrelationship of motivation, academic self-concept and achievement was observed and conclusions drawn for best practice for gifted and talented students. Academic achievement was enhanced by selective class placement. All motivational goal orientations and academic self-concept were diminished for both the experimental and control groups / Doctor of Philosophy (PhD)

The study explored the influence of environmental catalysts, upon the provision of field specific opportunities for learning, training, and practice, for a sample population of musically involved young Australians. The findings enhance understandings of the conditions in which children's musical aptitudes are developed. Research bases in the fields of gifted education and music education were employed to support the investigation. Components of Gagn??'s Differentiated Model of Giftedness and Talent (1995a) provided the theoretical framework for this investigation. Two survey questionnaires, completed by Australian parents (N = 194 and N = 182 respectively), sought information pertaining to the subject child's musical involvements and undertakings. Some details of the musical interests and involvements of the child's parents and siblings were also obtained. Quantitative and qualitative data contribute to an extensive profile of the types of music programs and provisions which support the normative and expert development of Australian children's musical behaviours. Parents' musical interests and involvements appear to have strongly influenced the choice of home-based recreational pursuits for their children. The convincingly articulated, positive, field specific views espoused by Australian parents appear to have been translated into the provision of multiple, simultaneous opportunities for their children to engage with musical undertakings. Notable amongst the data are the structured involvements of young musicians with music composition engagements. The data also indicate that many of the sample of Australian children received high levels of support and encouragement for musical undertakings from parents who were themselves musically interested and knowledgeable. Parental involvements with their children's music lesson and practice related engagements, were found to be characterised by features of deliberate practice. The home-based environments of young Australian musicians were found to be characterised by opportunities for exposure to rigorous and challenging musical engagements, undertaken at an optimally early age, thereby enhancing normative musical development. Such engagements provided the necessary foundation for expert levels of musical skill acquisition. An ascending progression of musical skill development was demonstrated to correspond to increasing age further reinforcing the developmental perspective on the acquisition of musical expertise. Some parents indicate that musical engagement has been pursued as a means of appropriately challenging children exhibiting the cognitive and affective characteristics of giftedness.

This thesis reports data gathered through case studies of ten of the students who took part in a survey of secondary school students who had been invited to camps at which the New Zealand teams were chosen for the International Mathematical Olympiad (IMO) in the first five years of this country�s participation in the IMO. The case studies data gave individuals� narratives that were captivating yet complex, unique yet universal, clear yet not easily described all of apiece. I read widely in response to the information they offered and found that reflection and a narrative style of presentation assisted the grasping of nuances and implications of the students� narratives. Few of the parents of the students were particularly competent in mathematics or able to account for their child�s curiosity, concentration and skills in pursuing a fascination with number. In most of the families, all members were encouraged to follow their own inclinations and interests, to respect the maintenance of a balance of cultural and physical activities, to regard books and play as normal life supports, and to believe that discovery, enchantment and pleasure were both goals and accomplishments of everyday life. Most of the students experienced less encouragement at school than they might have expected, and unpleasant experiences could be linked with a teacher�s apparent lack of appreciation of a student�s mathematical ability. Both the case studies and the initial survey suggested that most teachers, at any level of formal education, were doing all they were capable of doing in mathematics, and that the students responded to opportunities to self-select subjects and topics that interested them and to the help and company offered by mentors and peers who had flair and competence in appropriate subject areas. Few of the case studies students were motivated by strategies dependent on a high level of competition or a 'sorting' of that offered in formal education (through attitudes and practical organisation such as timetabling) into either Arts or Science subjects. Most were attracted to the study of languages and/or philosophy and some to that of computer science. Most showed interest and some prowess in individual cultural and physical activities requiring perseverance. Largely, they were motivated by finding fresh or novel ways of integrating diverse knowledge, and by associating with peers. They enjoyed and valued self-awareness, intellectual independence, chances to empathise with ideas and people, and tasks that were in harmony with the dictates of their own volition. Evidence of differences among the case studies students - even though they had all been identified as very able in mathematics - led me to Vadim Krutetskii�s theories of the components of mathematical ability and their functioning and thus to new views, first, of the interplay between aptitude and languages of perception, inner comprehension and outer expression and, second, of the relationships between giftedness and other attributes of human abilities and endeavours. These appreciations suggested that the models of education and support commonly exhibited in the case studies students� families and in the environments of their extra-school activities had been more encouraging of their gifts, talents and personal growth than those often exhibited in the schools they attended.

Questionnaires were sent to parents of three hundred and fourty six year 7 and 8 students attending an independent, comprehensive school. Parents were asked to indicate the nature and extent of talent they believed their child possessed. Their replies were used as the basis for the range of talents - some fifty two areas - considered in this study. The questionnaire, together with questionnaires given to students and teachers, also served to identify seventy five exceptionally talented children. The talent areas were grouped into talent 'clusters' and students representing each cluster were selected for interviews. During the interviews, parents were asked whether their son had previously been identified as exceptionally talented, and what they perceived to be the educational needs of their son. These needs were looked at in terms of the formulation of a differentiated curriculum for exceptionally talented children. The curriculum is described mainly in terms of three teaching modes traditionally associated with gifted children : grouping, acceleration and enrichment. Each of these is explored in relation to the stated needs of the students and their consequent applicability to designing curricula for these students.

The integration of technology into classrooms, the education of gifted learners, and the challenge this presents to classroom relationships as a result of engaging with computer technology are significant issues for teachers in this decade. The evolving paradigm of technology use, the deep learning of computer skills that students will require for future employment and how this can be incorporated into appropriate pedagogies for gifted learners also poses challenges for teachers. This thesis reports on a unique mentoring program that was developed to utilise desktop videoconferencing (DVC) technology and designed to specifically address these challenges. The study was undertaken in a large independent school (K-12) in New South Wales, Australia and involved six students and six teachers, none of whom had any previous experience of DVC or mentoring. The aim of the study was to investigate learning outcomes for teachers and gifted students. This study employed DVC as a didactic strategy over a 10-week period. The mentoring sessions of the cohorts and their post-mentoring interviews were evaluated using grounded theory methods of data gathering and analysis over a 2-year period. The findings demonstrated that the nature of learning during DVC could be constructed as an emergent theory, based on the teaching philosophies of the teachers and their goals for their students. Technical support, relational mentors and motivational tasks created supportive environments for DVC. Perseverance, enthusiasm and resilience enhanced the uniqueness of mentoring program. Several recommendations are also posited for further research.

Thesis (Ed. D.)--University of Hong Kong, 2007. / Title proper from title frame. Also available in printed format.

Thesis (Ed.D.)--Baylor University, 2005. / Includes bibliographical references (p. 91-96).