Private suplementary tutoring and grade 12 education in Geometry performance
- Authors: Mabhamba, Mfuneko
- Date: 2023-00
- Subjects: Mathematics Education
- Language: English
- Type: Masters theses , text
- Identifier: http://hdl.handle.net/11260/10448 , vital:75181
- Description: The primary intention of this study was to explore the extent to which private tutorials relate to Euclidean Geometry performance amongst Grade 12 learners from selected schools in OR Tambo Inland District. The first objective was to examine the correlation between private tutorials and Euclidean Geometry performance. The second research question was to investigate the Euclidean Geometry means scores of students who attend private tutorials as compared to the group of students who do not attend private tutorials. The study had a sample size of 347 participants from four schools. Lev Vygotsky's Socio-cultural Theory was used as a theoretical framework to underpin the study. The study adopted quantitative research methodology to answer the research questions. A questionnaire and a standardised Euclidean Geometry test were administered to collect the data from the participants. Correlational and regression analysis were performed to analyse to data. The outcomes of the study reveal that private tutorials and Euclidean Geometry performance were significantly correlated. Furthermore, private tutorials were found to be the determinant or predictor of performance in Euclidean Geometry. Secondly, students who are attending private tutorials significantly outperformed their counterparts (i.e., students who are not attending private tutorials) in Euclidean Geometry. Recommendations were made to implicate stakeholders to enhance the effective use private tutorials to boost Euclidean Geometry performance while also improvising alternative measures to students who might want to attend private tutorials, but affordability becomes a detrimental hindrance. , Thesis (Masters) -- Faculty of Education, 2023
- Full Text:
- Date Issued: 2023-00
- Authors: Mabhamba, Mfuneko
- Date: 2023-00
- Subjects: Mathematics Education
- Language: English
- Type: Masters theses , text
- Identifier: http://hdl.handle.net/11260/10448 , vital:75181
- Description: The primary intention of this study was to explore the extent to which private tutorials relate to Euclidean Geometry performance amongst Grade 12 learners from selected schools in OR Tambo Inland District. The first objective was to examine the correlation between private tutorials and Euclidean Geometry performance. The second research question was to investigate the Euclidean Geometry means scores of students who attend private tutorials as compared to the group of students who do not attend private tutorials. The study had a sample size of 347 participants from four schools. Lev Vygotsky's Socio-cultural Theory was used as a theoretical framework to underpin the study. The study adopted quantitative research methodology to answer the research questions. A questionnaire and a standardised Euclidean Geometry test were administered to collect the data from the participants. Correlational and regression analysis were performed to analyse to data. The outcomes of the study reveal that private tutorials and Euclidean Geometry performance were significantly correlated. Furthermore, private tutorials were found to be the determinant or predictor of performance in Euclidean Geometry. Secondly, students who are attending private tutorials significantly outperformed their counterparts (i.e., students who are not attending private tutorials) in Euclidean Geometry. Recommendations were made to implicate stakeholders to enhance the effective use private tutorials to boost Euclidean Geometry performance while also improvising alternative measures to students who might want to attend private tutorials, but affordability becomes a detrimental hindrance. , Thesis (Masters) -- Faculty of Education, 2023
- Full Text:
- Date Issued: 2023-00
Exploring the Teaching and Learning of Euclidean Geometry in Senior Secondary Schools: The Case of O R Tambo Coastal Schools
- Authors: Danso, Agyare
- Date: 2020-12
- Subjects: Euclidean Geometry
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/11260/6582 , vital:47145
- Description: This study was aimed at exploring the teaching and learning of Euclidean Geometry in five selected senior secondary schools in the O R Tambo Coastal District of the Eastern Cape, South Africa. The literature review was based on existing knowledge in the teaching and learning of Euclidean geometry. The study was built on analyzing the effective teaching strategies based on the teacher’s Pedagogical Content Knowledge (PCK) in Euclidean Geometry (EG). Shulman and Ma’s perspective on teachers’ competencies and knowledge of Mathematics was used as the theoretical framework of the study. A mixed-methods sequential explanatory design was adopted for the study. A purposive convenience sampling technique was used to select research sites and participants. The main instruments used were questionnaires, semi-structured interviews, classroom observation schedules, and document analysis. Quantitative data was analyzed descriptively utilizing tables and graphs. Qualitative data were analyzed using thematic data analysis. The various findings were interpreted through the literature and the theoretical framework. It was found that learners have a poor foundation in geometry and the methods teachers employed to teach Euclidean Geometry were inappropriate. Recommendations and suggestions were made. It is hoped that these recommendations would be noted by the appropriate stakeholders to ensure that improvement in the teaching and learning of Euclidean Geometry is achieved in our secondary schools to help matriculates’ obtain good marks in the final certification examination. Keywords: Euclidean Geometry, geometry teaching and learning; learners’ attitude; Teachers Pedagogical Content Knowledge , Thesis (M.Ed) -- Faculty of Education Sciences, 2020
- Full Text:
- Date Issued: 2020-12
- Authors: Danso, Agyare
- Date: 2020-12
- Subjects: Euclidean Geometry
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/11260/6582 , vital:47145
- Description: This study was aimed at exploring the teaching and learning of Euclidean Geometry in five selected senior secondary schools in the O R Tambo Coastal District of the Eastern Cape, South Africa. The literature review was based on existing knowledge in the teaching and learning of Euclidean geometry. The study was built on analyzing the effective teaching strategies based on the teacher’s Pedagogical Content Knowledge (PCK) in Euclidean Geometry (EG). Shulman and Ma’s perspective on teachers’ competencies and knowledge of Mathematics was used as the theoretical framework of the study. A mixed-methods sequential explanatory design was adopted for the study. A purposive convenience sampling technique was used to select research sites and participants. The main instruments used were questionnaires, semi-structured interviews, classroom observation schedules, and document analysis. Quantitative data was analyzed descriptively utilizing tables and graphs. Qualitative data were analyzed using thematic data analysis. The various findings were interpreted through the literature and the theoretical framework. It was found that learners have a poor foundation in geometry and the methods teachers employed to teach Euclidean Geometry were inappropriate. Recommendations and suggestions were made. It is hoped that these recommendations would be noted by the appropriate stakeholders to ensure that improvement in the teaching and learning of Euclidean Geometry is achieved in our secondary schools to help matriculates’ obtain good marks in the final certification examination. Keywords: Euclidean Geometry, geometry teaching and learning; learners’ attitude; Teachers Pedagogical Content Knowledge , Thesis (M.Ed) -- Faculty of Education Sciences, 2020
- Full Text:
- Date Issued: 2020-12
Geometry Proficiency Of Grade 11 Learners In Alfred Nzo Education District, Eastern Cape Province, South Africa
- Qwele, Benedicta Nonstikelelo
- Authors: Qwele, Benedicta Nonstikelelo
- Date: 2020-11
- Subjects: Special education--Geometry
- Language: English
- Type: Master's/Doctoral theses , text
- Identifier: http://hdl.handle.net/11260/6660 , vital:47201
- Description: This is a mixed method research study that aims to investigate the Geometry Proficiency of Grade 11 learners in rural senior secondary schools of Mount Frere in Alfred Nzo Education District, in the Eastern Cape, South Africa. The study is oriented in interpretive paradigm and utilizes both quantitative and qualitative methods. The study was conducted in 10 rural senior secondary schools that were selected using convenient sampling technique. The quantitative part employed a survey that consisted of 19 mathematics teachers and total of 162 Grade 11 learners. Out of 10 rural senior secondary schools, three were purposively selected with their three (3) classes, three (3) Mathematics teachers and three (3) Heads of Mathematics and Science Divisions for qualitative part. Questionnaires were administered to 19 Mathematics teachers and 162 learners. Three teachers in three different schools were observed as they taught Grade 11 learners Circle Geometry in their respective classes. Qualitative data through observations, interviews and document analysis were gathered. The study targeted to provide an in-depth understanding of the Geometry Proficiency of the learners in the sample. The quantitative data were analysed using IBM Statistical Package for Social Sciences (SPSS) Version 22. The study found the failure of teachers to instate teaching strategies appropriate for generating acceptable levels of Geometry Proficiency and a myriad of challenges that were experienced by learners. These included inadequate preparation by teachers, lack of learning and teaching support materials, the manner in which Geometry was taught, learners' problem solving skills, absenteeism, illiterate and impoverished parents, and failure to understand the utilitarian value of Geometry. The study recommends that Van Hiele’s levels of Geometric thought as well as the Van Hiele’s phases of learning be implemented in the schools particularly in rural schools. These should be integrated with appropriate teaching strategies and learner teaching support materials, particularly the ones that include practical investigations. , Thesis (D.Ed) -- Faculty of Education Sciences, 2020
- Full Text:
- Date Issued: 2020-11
- Authors: Qwele, Benedicta Nonstikelelo
- Date: 2020-11
- Subjects: Special education--Geometry
- Language: English
- Type: Master's/Doctoral theses , text
- Identifier: http://hdl.handle.net/11260/6660 , vital:47201
- Description: This is a mixed method research study that aims to investigate the Geometry Proficiency of Grade 11 learners in rural senior secondary schools of Mount Frere in Alfred Nzo Education District, in the Eastern Cape, South Africa. The study is oriented in interpretive paradigm and utilizes both quantitative and qualitative methods. The study was conducted in 10 rural senior secondary schools that were selected using convenient sampling technique. The quantitative part employed a survey that consisted of 19 mathematics teachers and total of 162 Grade 11 learners. Out of 10 rural senior secondary schools, three were purposively selected with their three (3) classes, three (3) Mathematics teachers and three (3) Heads of Mathematics and Science Divisions for qualitative part. Questionnaires were administered to 19 Mathematics teachers and 162 learners. Three teachers in three different schools were observed as they taught Grade 11 learners Circle Geometry in their respective classes. Qualitative data through observations, interviews and document analysis were gathered. The study targeted to provide an in-depth understanding of the Geometry Proficiency of the learners in the sample. The quantitative data were analysed using IBM Statistical Package for Social Sciences (SPSS) Version 22. The study found the failure of teachers to instate teaching strategies appropriate for generating acceptable levels of Geometry Proficiency and a myriad of challenges that were experienced by learners. These included inadequate preparation by teachers, lack of learning and teaching support materials, the manner in which Geometry was taught, learners' problem solving skills, absenteeism, illiterate and impoverished parents, and failure to understand the utilitarian value of Geometry. The study recommends that Van Hiele’s levels of Geometric thought as well as the Van Hiele’s phases of learning be implemented in the schools particularly in rural schools. These should be integrated with appropriate teaching strategies and learner teaching support materials, particularly the ones that include practical investigations. , Thesis (D.Ed) -- Faculty of Education Sciences, 2020
- Full Text:
- Date Issued: 2020-11
GeoGebra as a Manipulative Tool in Providing Processes of Circle Geometry in Grade 11: A Case of One School in OR Tambo Inland District
- Authors: Marange, Israel Yeukai
- Date: 2019-06
- Subjects: Great circle (Geometry)
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/11260/6593 , vital:47152
- Description: The aim of this study was to establish the influence of using GeoGebra as a manipulative tool in providing processes of Grade 11 circle geometry at one school in OR Tambo Inland. The study adopted a quantitative approach and utilised the quasi-experimental research design. The sample consisted of 107 Grade 11 mathematics learners. Sixty (60) learners were in the experimental group and 47 in the control group. Pre-test and post-test, and likert-scaled questionnaires were used as instruments. Reliability and validity were ensured through test-retest, as well as member checking and a pilot study. All ethical requirements were followed. Findings revealed that pre-test results did not show much difference in the performance of experimental and control groups. After using GeoGebra, it statistically emerged that control group respondents performed lower than the experimental group. Findings obtained from the questionnaire also showed similar patterns. The study also found that participants who learnt circle geometry using GeoGebra were significantly motivated and that GeoGebra allowed learners to be exceedingly creative and discover skills of solving geometry problems by themselves. The positive impact of using GeoGebra resulted in significant differences on academic performance. Based on gender, more females compared to males agreed that GeoGebra was an effective manipulative tool in learning circle geometry. Interestingly, boys performed better than girls in the post-test. The study concluded that students who used GeoGebra showed higher ability in conceptual knowledge compared to students who used conventional methods. It also concluded that GeoGebra had positive effects on learners’ understanding as learners became significantly active and responsible for their own learning process as the software allows a self-learning process. Recommendations included the need for teachers to use the latest technology and to vary their methods of teaching to motivate learners. There is also a need for a workable alternative opposed to the rigid axiomatic approaches to circle geometry to facilitate and enhance learners’ ability to make and test conjectures. Curriculum planners and subject specialists need to emphasise on education systems that shift teaching and learning away from the traditional methods and emphasise on learning rules for manipulating geometry problems. , Thesis (M.Ed) -- Faculty of Education Sciences, 2020
- Full Text:
- Date Issued: 2019-06
- Authors: Marange, Israel Yeukai
- Date: 2019-06
- Subjects: Great circle (Geometry)
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/11260/6593 , vital:47152
- Description: The aim of this study was to establish the influence of using GeoGebra as a manipulative tool in providing processes of Grade 11 circle geometry at one school in OR Tambo Inland. The study adopted a quantitative approach and utilised the quasi-experimental research design. The sample consisted of 107 Grade 11 mathematics learners. Sixty (60) learners were in the experimental group and 47 in the control group. Pre-test and post-test, and likert-scaled questionnaires were used as instruments. Reliability and validity were ensured through test-retest, as well as member checking and a pilot study. All ethical requirements were followed. Findings revealed that pre-test results did not show much difference in the performance of experimental and control groups. After using GeoGebra, it statistically emerged that control group respondents performed lower than the experimental group. Findings obtained from the questionnaire also showed similar patterns. The study also found that participants who learnt circle geometry using GeoGebra were significantly motivated and that GeoGebra allowed learners to be exceedingly creative and discover skills of solving geometry problems by themselves. The positive impact of using GeoGebra resulted in significant differences on academic performance. Based on gender, more females compared to males agreed that GeoGebra was an effective manipulative tool in learning circle geometry. Interestingly, boys performed better than girls in the post-test. The study concluded that students who used GeoGebra showed higher ability in conceptual knowledge compared to students who used conventional methods. It also concluded that GeoGebra had positive effects on learners’ understanding as learners became significantly active and responsible for their own learning process as the software allows a self-learning process. Recommendations included the need for teachers to use the latest technology and to vary their methods of teaching to motivate learners. There is also a need for a workable alternative opposed to the rigid axiomatic approaches to circle geometry to facilitate and enhance learners’ ability to make and test conjectures. Curriculum planners and subject specialists need to emphasise on education systems that shift teaching and learning away from the traditional methods and emphasise on learning rules for manipulating geometry problems. , Thesis (M.Ed) -- Faculty of Education Sciences, 2020
- Full Text:
- Date Issued: 2019-06
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