An investigation of the link between the typical geometry errors and the Van Hiele levels of geometric thought of grade 9 learners
- Authors: Steyn, Catherina
- Date: 2017
- Subjects: Van Hiele Model Geometry -- Study and teaching (Elementary) , Error analysis (Mathematics)
- Language: English
- Type: Thesis , Masters , MEdu
- Identifier: http://hdl.handle.net/10948/12152 , vital:27037
- Description: South African learners perform poorly in the geometry sections of both national and international assessments. Numerous assessment reports mention multiple errors that keep re-occurring and play a big role in the learners’ poor performance. For this research, the link between the grade 9 learners Van Hiele levels of thought and the typical errors that they made were investigated. In this mixed method study, 194 grade 9 learners in two schools in Port Elizabeth, South Africa were tested using a Van Hiele based test. A test was set up containing multiple-choice and open-ended questions and was used to determine firstly, the predominant level of geometric reasoning of the learners and secondly, to determine their typical errors. Semi-structured interviews were held with six learners to gain more insight into some of the typical errors uncovered in the tests. The quantitative data revealed that the learners’ predominant levels of geometric thought were low. Furthermore, the qualitative data revealed typical error patterns concerning angles and sides, parallel lines, hierarchy of quadrilaterals and incorrect reasons in the proofs. The quantitative and qualitative data was merged to determine if the errors could be linked to the Van Hiele levels. From the findings, it was concluded that most of their typical errors could be linked to the Van Hiele levels of the learners.
- Full Text:
- Date Issued: 2017
- Authors: Steyn, Catherina
- Date: 2017
- Subjects: Van Hiele Model Geometry -- Study and teaching (Elementary) , Error analysis (Mathematics)
- Language: English
- Type: Thesis , Masters , MEdu
- Identifier: http://hdl.handle.net/10948/12152 , vital:27037
- Description: South African learners perform poorly in the geometry sections of both national and international assessments. Numerous assessment reports mention multiple errors that keep re-occurring and play a big role in the learners’ poor performance. For this research, the link between the grade 9 learners Van Hiele levels of thought and the typical errors that they made were investigated. In this mixed method study, 194 grade 9 learners in two schools in Port Elizabeth, South Africa were tested using a Van Hiele based test. A test was set up containing multiple-choice and open-ended questions and was used to determine firstly, the predominant level of geometric reasoning of the learners and secondly, to determine their typical errors. Semi-structured interviews were held with six learners to gain more insight into some of the typical errors uncovered in the tests. The quantitative data revealed that the learners’ predominant levels of geometric thought were low. Furthermore, the qualitative data revealed typical error patterns concerning angles and sides, parallel lines, hierarchy of quadrilaterals and incorrect reasons in the proofs. The quantitative and qualitative data was merged to determine if the errors could be linked to the Van Hiele levels. From the findings, it was concluded that most of their typical errors could be linked to the Van Hiele levels of the learners.
- Full Text:
- Date Issued: 2017
An exploratory investigation on the subsequent experiences of emotional, verbal and physical abuse by learners on the well- being of high school teachers in Port Elizabeth
- Authors: Ferreira, Xanthe Rune
- Date: 2016
- Subjects: High school teachers -- Abuse of -- South Africa -- Port Elizabeth Bullying in schools -- South Africa -- Port Elizabeth
- Language: English
- Type: Thesis , Masters , MEdu
- Identifier: http://hdl.handle.net/10948/12414 , vital:27064
- Description: The main aim of this study was to investigate and explore how the emotional, verbal and or physical abuse of teachers by learners could impact on the general well-being of high school teachers in the Port Elizabeth region.This study asked how does the emotional, verbal and or physical abuse of teachers by learners impact on the general well-being of teachers? It also set out to find out what types of abuse teachers experience the most, how frequently teachers are exposed to abuse by learners and if there are any solutions to teacher abuse that can be offered. A teacher should be seen as someone who imparts knowledge, a person that creates an atmosphere for learning, a facilitator. Teachers are there to teach, although this is sadly not the case in schools anymore. Teachers are being abused by their learners in the classrooms and very few incidents are ever reported as teachers fear the repercussions of perhaps being told that because a class is misbehaving that they lack the necessary skills to be proficient teachers. There is limited literature available on the topic especially with regards to teacher abuse by learners in South Africa as the main focus used to be how teachers could be abusive to the learners and not the learners being abusive towards their teachers. This situation as is in South Africa at the moment can be seen as a silent epidemic. This study made use of a pragmatic paradigm that included both quantitative and qualitative research and data collection methods and an explanatory design was used to display the findings.
- Full Text:
- Date Issued: 2016
- Authors: Ferreira, Xanthe Rune
- Date: 2016
- Subjects: High school teachers -- Abuse of -- South Africa -- Port Elizabeth Bullying in schools -- South Africa -- Port Elizabeth
- Language: English
- Type: Thesis , Masters , MEdu
- Identifier: http://hdl.handle.net/10948/12414 , vital:27064
- Description: The main aim of this study was to investigate and explore how the emotional, verbal and or physical abuse of teachers by learners could impact on the general well-being of high school teachers in the Port Elizabeth region.This study asked how does the emotional, verbal and or physical abuse of teachers by learners impact on the general well-being of teachers? It also set out to find out what types of abuse teachers experience the most, how frequently teachers are exposed to abuse by learners and if there are any solutions to teacher abuse that can be offered. A teacher should be seen as someone who imparts knowledge, a person that creates an atmosphere for learning, a facilitator. Teachers are there to teach, although this is sadly not the case in schools anymore. Teachers are being abused by their learners in the classrooms and very few incidents are ever reported as teachers fear the repercussions of perhaps being told that because a class is misbehaving that they lack the necessary skills to be proficient teachers. There is limited literature available on the topic especially with regards to teacher abuse by learners in South Africa as the main focus used to be how teachers could be abusive to the learners and not the learners being abusive towards their teachers. This situation as is in South Africa at the moment can be seen as a silent epidemic. This study made use of a pragmatic paradigm that included both quantitative and qualitative research and data collection methods and an explanatory design was used to display the findings.
- Full Text:
- Date Issued: 2016
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