An analysis of selected grade 11 learners’ interactions with geometry tasks using visualization processes: a case study in Namibia
- Authors: Kabuku, Brian S
- Date: 2017
- Subjects: Mathematics -- Study and teaching -- Activity programs , Geometry -- Study and teaching (Secondary) -- Namibia , Geometry -- Study and teaching (Secondary) -- Namibia -- Cast studies , Visualization
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/5949 , vital:20997
- Description: This case study was conducted at a secondary school where I teach, situated in the semi-rural setting of Bukalo village in Namibia, and sought to gain insights into the nature and role of visualisation processes employed when selected grade 11 learners interacted with selected geometry problems. According to Mariotti and Pensci (1994), visualisation takes place when "thinking is spontaneously accompanied and supported by images”, and helps students to understand the problem at hand. Visualisation is regarded as "making the unseen visible and imagery as the power to imagine the possible and the impossible” (Mason 1992). The study is located within an interpretive research paradigm in order to obtain in-depth understanding of the participants’ visualisation processes. Within this paradigm, both quantitative and qualitative approaches were adopted. The eight Grade 11 participants engaged with 12 items of the Geometry Visualisation Tasks (GVT) worksheets. Data was collected using video-recorded learners’ interactions with the GVT, observations, stimulated recall interviews and post-GVT interviews with the learners. During the data analysis stage, I used inductive analysis to determine patterns evident in learners ‘thinking processes’. My analytical framework consisted of indicators that were used to identify and classify visualisation processes for each task of the GVT for each participant. I adapted this framework from Ho (2010) and Ho, Ramful and Lowrie’s (2015) clarification of the representations. The findings from this study revealed that the use of visualisations facilitated meaningful learning when learners made use of these to develop and scaffold their conceptual understanding. The findings revealed that most learners used visualisation processes fairly to very accurately when solving geometry problems. They used visualisation processes by using sketches and diagrams that transformed a mathematical problem pictorially, connected their thinking to previous knowledge and experience, clarified the algebraic task and assisted them to understand the spatial relationships within each task.
- Full Text:
- Authors: Kabuku, Brian S
- Date: 2017
- Subjects: Mathematics -- Study and teaching -- Activity programs , Geometry -- Study and teaching (Secondary) -- Namibia , Geometry -- Study and teaching (Secondary) -- Namibia -- Cast studies , Visualization
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/5949 , vital:20997
- Description: This case study was conducted at a secondary school where I teach, situated in the semi-rural setting of Bukalo village in Namibia, and sought to gain insights into the nature and role of visualisation processes employed when selected grade 11 learners interacted with selected geometry problems. According to Mariotti and Pensci (1994), visualisation takes place when "thinking is spontaneously accompanied and supported by images”, and helps students to understand the problem at hand. Visualisation is regarded as "making the unseen visible and imagery as the power to imagine the possible and the impossible” (Mason 1992). The study is located within an interpretive research paradigm in order to obtain in-depth understanding of the participants’ visualisation processes. Within this paradigm, both quantitative and qualitative approaches were adopted. The eight Grade 11 participants engaged with 12 items of the Geometry Visualisation Tasks (GVT) worksheets. Data was collected using video-recorded learners’ interactions with the GVT, observations, stimulated recall interviews and post-GVT interviews with the learners. During the data analysis stage, I used inductive analysis to determine patterns evident in learners ‘thinking processes’. My analytical framework consisted of indicators that were used to identify and classify visualisation processes for each task of the GVT for each participant. I adapted this framework from Ho (2010) and Ho, Ramful and Lowrie’s (2015) clarification of the representations. The findings from this study revealed that the use of visualisations facilitated meaningful learning when learners made use of these to develop and scaffold their conceptual understanding. The findings revealed that most learners used visualisation processes fairly to very accurately when solving geometry problems. They used visualisation processes by using sketches and diagrams that transformed a mathematical problem pictorially, connected their thinking to previous knowledge and experience, clarified the algebraic task and assisted them to understand the spatial relationships within each task.
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“I won’t say I feel happy or sad”: experiences of siblings of young disabled people in disadvantaged socio-economic circumstances
- Authors: Foote, Tamlyn Lou-Ann
- Date: 2017
- Subjects: Mentally ill -- Family relationships , Mentally ill -- Care -- South Africa , Mentally ill children -- Care -- South Africa , Brothers and sisters of people with disabilities , Brothers and sisters of people with disabilities -- Psycnology , Brothers and sisters of people with disabilities -- Case studies -- South Africa -- Makhanda
- Language: English
- Type: Thesis , Masters , MA
- Identifier: http://hdl.handle.net/10962/7774 , vital:21296
- Description: The impact of having a disabled sibling has been well researched in first world countries, revealing complex and varied results. However, in disadvantaged socioeconomic contexts, where disability has been found to be more prevalent, and where arguably, the functioning and quality of life of a disabled person is more likely to be affected by an impairment, very little is known about how siblings of young disabled people are affected. In response, this qualitative study explores the experiences of five, isiXhosa speaking adolescents, living in Joza Township, Grahamstown, who have a brother or sister with an intellectual, physical or developmental impairment. Semi-structured interviews were conducted and an interpretative phenomenological analytic approach was utilized to ascertain how the participants make sense of their worlds in relation to their sibling’s disability. Specifically, this research aimed at developing an understanding of how the participants experienced their family climate, self-concept, interpersonal relations and daily living in relation to their disabled sibling. The results of this study reveal a prevailing sense of incongruity experienced by the participants, although there are variances between their experiences. While family climate was largely experienced as warm, the participants were ambivalent about their relationship with their mothers who are experienced more as providers than nurturers. The participants described oscillating between feelings of protectiveness and alliance, and responsibility and sacrifice toward their sibling. A high incidence of incongruity pertaining to their sense of self was noted; this was described as impacting on their interpersonal relations where an underlying sense of negative public perception in relation to the disability is perceived. Although the participants expressed feeling supported within their homes, it was evident that they experienced little support from peers or the community at large. Four out of the five participants did not report experiencing a sense of deprivation, despite their socio-economic contexts and described a day-to-day existence that allows for their needs to be met. This included adequate time during their day to pursue personal interests as opposed to their time being spent taking care of their disabled sibling or assisting their parents, who may be overburdened due to the added care and responsibilities a disabled child might require. Furthermore, it is suggested that the incongruity experienced by the participants could be the result of various factors including age, gender, birth order and the nature of their sibling’s impairment. On the basis of the findings of this research, it can be concluded that the experiences of siblings of young, disabled people living in disadvantaged socioeconomic contexts cannot necessarily be described as being positive or negative, but are highly nuanced. In addition, the participants to some extent experience disability by association and are lacking in adequate support and opportunities to discuss their unique challenges. These insights serve to better inform disability studies in disadvantaged socio-economic circumstances. These findings are in accordance with earlier research.
- Full Text:
- Authors: Foote, Tamlyn Lou-Ann
- Date: 2017
- Subjects: Mentally ill -- Family relationships , Mentally ill -- Care -- South Africa , Mentally ill children -- Care -- South Africa , Brothers and sisters of people with disabilities , Brothers and sisters of people with disabilities -- Psycnology , Brothers and sisters of people with disabilities -- Case studies -- South Africa -- Makhanda
- Language: English
- Type: Thesis , Masters , MA
- Identifier: http://hdl.handle.net/10962/7774 , vital:21296
- Description: The impact of having a disabled sibling has been well researched in first world countries, revealing complex and varied results. However, in disadvantaged socioeconomic contexts, where disability has been found to be more prevalent, and where arguably, the functioning and quality of life of a disabled person is more likely to be affected by an impairment, very little is known about how siblings of young disabled people are affected. In response, this qualitative study explores the experiences of five, isiXhosa speaking adolescents, living in Joza Township, Grahamstown, who have a brother or sister with an intellectual, physical or developmental impairment. Semi-structured interviews were conducted and an interpretative phenomenological analytic approach was utilized to ascertain how the participants make sense of their worlds in relation to their sibling’s disability. Specifically, this research aimed at developing an understanding of how the participants experienced their family climate, self-concept, interpersonal relations and daily living in relation to their disabled sibling. The results of this study reveal a prevailing sense of incongruity experienced by the participants, although there are variances between their experiences. While family climate was largely experienced as warm, the participants were ambivalent about their relationship with their mothers who are experienced more as providers than nurturers. The participants described oscillating between feelings of protectiveness and alliance, and responsibility and sacrifice toward their sibling. A high incidence of incongruity pertaining to their sense of self was noted; this was described as impacting on their interpersonal relations where an underlying sense of negative public perception in relation to the disability is perceived. Although the participants expressed feeling supported within their homes, it was evident that they experienced little support from peers or the community at large. Four out of the five participants did not report experiencing a sense of deprivation, despite their socio-economic contexts and described a day-to-day existence that allows for their needs to be met. This included adequate time during their day to pursue personal interests as opposed to their time being spent taking care of their disabled sibling or assisting their parents, who may be overburdened due to the added care and responsibilities a disabled child might require. Furthermore, it is suggested that the incongruity experienced by the participants could be the result of various factors including age, gender, birth order and the nature of their sibling’s impairment. On the basis of the findings of this research, it can be concluded that the experiences of siblings of young, disabled people living in disadvantaged socioeconomic contexts cannot necessarily be described as being positive or negative, but are highly nuanced. In addition, the participants to some extent experience disability by association and are lacking in adequate support and opportunities to discuss their unique challenges. These insights serve to better inform disability studies in disadvantaged socio-economic circumstances. These findings are in accordance with earlier research.
- Full Text:
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