The results presented in this thesis pertain to two distinct areas of low-dimensional topology. First, we give a classification of small Seifert fibered surgeries on hyperbolic pretzel knots, as well as a near-classification of small Seifert fibered surgeries on hyperbolic Montesinos knots. Along with recent results of Ichihara-Masai [IM13], these results complete the classification of all exceptional Dehn surgeries on arborescent knots. Second, we exhibit an infinite family of smoothly slice knots that are topologically doubly slice, but not smoothly doubly slice. A subfamily of these knots is then used to show that the subgroup of the smooth double concordance group consisting of topologically doubly slice knots is infinitely generated. One corollary of these results is that there exist infinitely many rational homology 3-spheres (with nontrivial first homology) that embed topologically, but not smoothly, into the 4-sphere. / text

Thesis (M.P.A.)--Kutztown University of Pennsylvania, 1992. / Source: Masters Abstracts International, Volume: 45-06, page: 2962. Typescript. Includes bibliographical references.

Thesis (Ph. D.)--Columbia University, 1930. / Vita. Published also as Teachers College, Columbia University, Contributions to education, no. 439. eContent provider-neutral record in process. Description based on print version record.

Thesis (M.S.)--University of Wisconsin--Madison, 1984 / Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 51-54).

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This is a case study of eight teachers who have transferred from mainstream schools to special schools. It uses their reflections on the transition process gained through a series of interviews and tasks that illuminate their perceptions of their change process. These reflections are then analysed using a model that differentiates between the professional practice of the teacher, the school’s culture and Community of Practice and the wider educational system consisting of, for example, Teaching Standards, performance management and Ofsted inspections. It looks to answer some of the questions raised by the Salt Review (2010) about the quality of the supply of teachers into special schools. It addresses the issue of whether specialist skills are required for teaching in special schools and proposes a way to understand the key difference between the demands placed upon teachers in each if the two different sectors by looking in detail at the teachers’ understandings of their teaching practices. It finally proposes an induction model that can be individualised for the teacher which will support the transition process for them. It is located within a qualitative research approach and assumes the social construction of a shared cultural reality.

This thesis reports on a small scale action research study conducted within the mathematics classroom of a special school in England, categorized as catering for students with Behavioural, Emotional and Social and Difficulties (BESD). In the UK, more students are identified as having BESD than any other category of Special Educational Need and yet students identified in this way experience some of the poorest educational outcomes. This study sought to explore how one class of six Year 10 students (aged 14 -15) viewed and experienced their learning of mathematics. It aimed to identify whether particular pedagogical approaches could provide improved opportunities for learning. Instead of focusing on strategies and sanctions to manage behaviour, this research concentrated on better understanding the specific learning needs of this small but diverse group of students. The study was informed by theories of learning that emphasise the importance of social and cognitive processes in the learning of mathematics. In order to encourage peer communication and social interaction, the teacher adopted the role of facilitator, increasing opportunities for students to engage in dialogue and learn from each other. The curriculum area of measurement estimation was chosen as the focus of the intervention. As this is an area of mathematics that does not necessarily lead to a single correct answer, it reduced the risk to students of getting it ‘wrong' which could further exacerbate issues of low self-esteem and confidence. Data were gathered at each phase of the action research cycle and included: audio recordings made during and after each of the seven learning activities that comprised the intervention; notes from the teacher-researcher's research journal and copies of students' work. As the study aimed to capture the students' perspective of their mathematical learning, they each took part in an individual, semi-structured interview during the reconnaissance phase and a focus group discussion following the intervention stage. Data collected from the reconnaissance stage were analysed using a process of thematic analysis and informed the development of the intervention. The study poses a number of challenges for those interested in improving the opportunities for mathematical learning amongst students identified as having BESD. Although all six students within this study initially expressed a preference for working alone, pedagogical approaches based on active and participatory learning were found to be motivating and engaging for the majority of learners. Although most students demonstrated an increased capacity to work together cooperatively, some struggled to learn collaboratively. The study highlighted that, in developing social constructivist approaches to learning mathematics, students' social competence and trust in each other, needs to be nurtured. Finally, the teacher's role in stimulating ‘talk' was identified as a key factor in increasing opportunities for students to learn mathematics.

Students with disabilities are less likely to graduate from high school and tend to score lower on standardized tests than their general education peers. Although use of Information and Communication Technology (ICT) can improve these outcomes for traditional students, it has been unclear whether its use positively affects learning gains for the inclusion student. The purpose of this study was to determine if the academic test performance of 5th grade ESE inclusion students was enhanced by implementing ICT as a curriculum resource in their classrooms. Two frameworks provided structure for this study: the theory of social constructivism and the capability approach. The study population consisted of all 5th grade ESE inclusion students in 74 school districts in one southern state. Data sources were the state's annual assessment scores for English language arts (ELA) and mathematics. Data were analyzed using 2 Mann Whitney U tests to compare ESE inclusion students' assessment scores in the 2nd year of testing as compared to the 1st year of testing (2015-2016 as compared to 2014-2015). The findings of the study revealed no significant difference between the ESE inclusion students' scores in the 1st and 2nd years for ELA and math scores even with ICT used as a resource. This outcome impacts social change by answering a question about whether ICT made a difference as used, and indicates that other studies must be done to better understand why ICT was not successful or how it can be used to significantly improve inclusion student outcomes.

The diagnostic category of autism has been extensively investigated over the past 65 years since the condition was first described by Dr. Leo Kanner (1943), making it one of the most validated psychological disorders. Research has examined the characteristics of children with autism spectrum disorder (ASD) across a variety of domains, including diagnostic symptomology, intellectual profiles, adaptive behavior, and psychosocial functioning. However, there exists a paucity of empirical research on intellectually gifted children with ASD. The goal of the current study was to compare the psychometric profiles of gifted youth with and without ASD across the domains of intellectual functioning, psychosocial/behavioral functioning, social skills, and adaptive behavior using an empirical, group study design. It was hypothesized that, in comparison to the group of youth without ASD, the group of youth with ASD would demonstrate equally strong verbal and nonverbal intellectual abilities with relatively poorer processing speed, poorer adaptive functioning skills, more psychosocial/behavior concerns, and poorer social skills. Data from 81 school-age youth who had been identified as intellectually gifted were included in the present study. Forty of the participants in this study met DSM-IV-TR diagnostic criteria for ASD; the remaining 41 participants did not meet diagnostic criteria for an Axis I or Axis II psychological disorder. Statistical analyses included independent-samples t tests and split-plot analyses. Results of the current study demonstrate that statistically significant differences exist between gifted youth with and without ASD in the areas of processing speed, adaptive functioning, psychosocial/behavioral functioning, and social skills, despite equivalent verbal and nonverbal intellectual functioning. The current study is unique in that it is the first to examine these domains of functioning and make empirical comparisons of characteristics among gifted individuals with ASD using a group study design. Importantly, this study has significant implications for diagnosis of ASD and will provide an empirical foundation upon which to develop effective classroom interventions to best meet the unique needs of this twice-exceptional population.

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