An investigation of lower primary teachers' content knowledge of mathematics in Ohangwena region in Namibia
- Authors: Haufiku, Amon
- Date: 2009
- Subjects: SACMEQ Namibia. Presidential Commission on Education, Culture and Training Mathematics -- Study and teaching (Elementary) -- Namibia Education -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1637 , http://hdl.handle.net/10962/d1003519
- Description: The poor performance in mathematics of learners in schools in Namibia, especially in the grades where learners sit for the national examinations, has been a concern of everybody. Since independence, the Ministry of Education in collaboration with several donor agencies has been aware of the poor performance in mathematics in the country. Several international and local studies have been made in an effort to identify the problems that are hindering learners’ performance in mathematics in Namibia. The findings of some studies that were conducted in the country such as the Southern Africa Consortium Monitoring Education Quality (2004), the Presidential Commission on Education, Culture and Training (1999), and the Mathematics and Science Teachers Extension Program (2002) revealed that the inadequate proficiency of primary teachers in mathematics content could be responsible for learners’ poor performance in mathematics. This study, therefore, is aimed at investigating the mathematical proficiency of lower primary (LP) teachers in Namibia. The study used three instruments to collect data namely, a profile questionnaire – to collect teachers’ demographic data, a proficiency test – to test their proficiency level of mathematics using the content of Grade 4 and 5 learners’ mathematics syllabi and a semi-structured interview schedule – to get views about their own mathematics content knowledge, attitudes towards mathematics as well as problems that hinder effective teaching and learning of mathematics at LP phase. The study was conducted with 30 lower primary teachers from five primary and combined schools in the Ohangwena circuit of the Ohangwena region. The study found out that: (1) the mathematical proficiency of LP teachers is below the Grade 7 Mathematics content. Most teachers are not able to solve the content of mathematics at upper primary (UP) phase. (2) LP education is receiving very little support from the Ministry compared to other phases. (3) There are no workshops or training courses organised for LP teachers. They do not receive enough textbooks and materials, their classrooms are overcrowded and teachers cannot pay attention to individual learners. (4) There is a dire need for LP Head of Departments (HODs) who are specialised at LP; most HODs for LP at schools are not specialised in this area. When it comes to views about future content of mathematics that should be given to LP teachers in Namibia, respondents recommended that future LP teachers should have knowledge of mathematics up to at least Grade 10 but preferably up to Grade 12. They do not want to be restricted to LP mathematics, but would like to have a broader knowledge of mathematics content. This would make them more confident in solving their children’s problems in mathematics. Overall, participants recognised the value of mathematics and the role that it plays in society.
- Full Text:
- Date Issued: 2009
- Authors: Haufiku, Amon
- Date: 2009
- Subjects: SACMEQ Namibia. Presidential Commission on Education, Culture and Training Mathematics -- Study and teaching (Elementary) -- Namibia Education -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1637 , http://hdl.handle.net/10962/d1003519
- Description: The poor performance in mathematics of learners in schools in Namibia, especially in the grades where learners sit for the national examinations, has been a concern of everybody. Since independence, the Ministry of Education in collaboration with several donor agencies has been aware of the poor performance in mathematics in the country. Several international and local studies have been made in an effort to identify the problems that are hindering learners’ performance in mathematics in Namibia. The findings of some studies that were conducted in the country such as the Southern Africa Consortium Monitoring Education Quality (2004), the Presidential Commission on Education, Culture and Training (1999), and the Mathematics and Science Teachers Extension Program (2002) revealed that the inadequate proficiency of primary teachers in mathematics content could be responsible for learners’ poor performance in mathematics. This study, therefore, is aimed at investigating the mathematical proficiency of lower primary (LP) teachers in Namibia. The study used three instruments to collect data namely, a profile questionnaire – to collect teachers’ demographic data, a proficiency test – to test their proficiency level of mathematics using the content of Grade 4 and 5 learners’ mathematics syllabi and a semi-structured interview schedule – to get views about their own mathematics content knowledge, attitudes towards mathematics as well as problems that hinder effective teaching and learning of mathematics at LP phase. The study was conducted with 30 lower primary teachers from five primary and combined schools in the Ohangwena circuit of the Ohangwena region. The study found out that: (1) the mathematical proficiency of LP teachers is below the Grade 7 Mathematics content. Most teachers are not able to solve the content of mathematics at upper primary (UP) phase. (2) LP education is receiving very little support from the Ministry compared to other phases. (3) There are no workshops or training courses organised for LP teachers. They do not receive enough textbooks and materials, their classrooms are overcrowded and teachers cannot pay attention to individual learners. (4) There is a dire need for LP Head of Departments (HODs) who are specialised at LP; most HODs for LP at schools are not specialised in this area. When it comes to views about future content of mathematics that should be given to LP teachers in Namibia, respondents recommended that future LP teachers should have knowledge of mathematics up to at least Grade 10 but preferably up to Grade 12. They do not want to be restricted to LP mathematics, but would like to have a broader knowledge of mathematics content. This would make them more confident in solving their children’s problems in mathematics. Overall, participants recognised the value of mathematics and the role that it plays in society.
- Full Text:
- Date Issued: 2009
Student's van Hiele levels of geometric thought and conception in plane geometry: a collective case study of Nigeria and South Africa
- Authors: Atebe, Humphrey Uyouyo
- Date: 2009
- Subjects: Geometry -- Study and teaching (Secondary) -- Nigeria -- Case studies Geometry -- Study and teaching (Secondary) -- South Africa -- Case studies Mathematics -- Study and teaching (Secondary) -- Nigeria -- Case studies Mathematics -- Study and teaching (Secondary) -- South Africa -- Case studies
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:1777 , http://hdl.handle.net/10962/d1003662
- Description: This study is inspired by and utilises the van Hiele theory of geometric thought levels, currently acclaimed as one of the best frameworks for studying teaching and learning processes in geometry. The study aims both to explore and explicate the van Hiele levels of geometric thinking of a selected group of grade 10, 11 and 12 learners in Nigerian and South African schools. The study further aims to provide a rich and indepth description of the geometry instructional practices that possibly contributed to the levels of geometric conceptualisation exhibited by this cohort of high school learners. This collective case study, presented in two volumes, is oriented within an interpretive research paradigm and characterised by both qualitative and quantitative methods. The sample for the study comprised a total of 144 mathematics learners and 6 mathematics teachers from Nigeria and South Africa. They were selected using both purposive and stratified sampling techniques. In using the van Hiele model to interrogate both learners’ levels of geometric conceptualisation and teaching methods in geometry classrooms, the study employs a qualitative and qunatitative approach to the data-collection process, involving the use of questionnaires (in the form of various pen-and-paper tests, hands-on activity-based tests), interviews and classroom videos. Although the data analysis was done largely through descriptive statistics, the whole process inevitably incorporated elements of inferential statistics (e.g. ANOVA and Tukey HSD post-hoc test) in the quest for indepth analysis and deeper interpretation of the data. Learners were assigned to various van Hiele levels, mainly according to Usiskin’s (1982) forced van Hiele level determination scheme. The whole process of analysing the classroom videos involved a consultative panel of 4 observers and 3 critical readers, using the checklist of van Hiele phase descriptors to guide the analysis process. Concerning learners’ levels of geometric conceptualisation, the results from this study reveal that the most of the learners were not yet ready for the formal deductive study of school geometry, as only 2% and 3% of them were respectively at van Hiele levels 3 and 4, while 47%, 22% and 24% were at levels 0, 1 and 2, respectively. More learners from the Nigerian subsample (53%) were at van Hiele level 0 than learners from the South African subsample (41%) at this level. No learner from the Nigerian subsample was at van Hiele level 4, while 6% of the South African learners were at level 4. In general, learners from the Nigerian subsample had a poorer knowledge of school geometry than their peers from the South African subsample, as learners from the latter subsample obtained significantly higher mean scores in the van Hiele Geometry Test (VHGT) and each of the other tests used in this study. Results relating to gender differences in performance generally favour the male learners in this study. For each of the participating schools, learners’ van Hiele levels (as determined by their scores on the VHGT) strongly correlate with their performance in geometry content tests and mathematics generally. For each of the Nigerian and South African subsamples, for n ≤ 2, learners at van Hiele level n obtained higher means on nearly all the tests administered in this study than their peers at level n–1. This finding provides support for the hierarchical property of the van Hiele levels.
- Full Text:
- Date Issued: 2009
- Authors: Atebe, Humphrey Uyouyo
- Date: 2009
- Subjects: Geometry -- Study and teaching (Secondary) -- Nigeria -- Case studies Geometry -- Study and teaching (Secondary) -- South Africa -- Case studies Mathematics -- Study and teaching (Secondary) -- Nigeria -- Case studies Mathematics -- Study and teaching (Secondary) -- South Africa -- Case studies
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:1777 , http://hdl.handle.net/10962/d1003662
- Description: This study is inspired by and utilises the van Hiele theory of geometric thought levels, currently acclaimed as one of the best frameworks for studying teaching and learning processes in geometry. The study aims both to explore and explicate the van Hiele levels of geometric thinking of a selected group of grade 10, 11 and 12 learners in Nigerian and South African schools. The study further aims to provide a rich and indepth description of the geometry instructional practices that possibly contributed to the levels of geometric conceptualisation exhibited by this cohort of high school learners. This collective case study, presented in two volumes, is oriented within an interpretive research paradigm and characterised by both qualitative and quantitative methods. The sample for the study comprised a total of 144 mathematics learners and 6 mathematics teachers from Nigeria and South Africa. They were selected using both purposive and stratified sampling techniques. In using the van Hiele model to interrogate both learners’ levels of geometric conceptualisation and teaching methods in geometry classrooms, the study employs a qualitative and qunatitative approach to the data-collection process, involving the use of questionnaires (in the form of various pen-and-paper tests, hands-on activity-based tests), interviews and classroom videos. Although the data analysis was done largely through descriptive statistics, the whole process inevitably incorporated elements of inferential statistics (e.g. ANOVA and Tukey HSD post-hoc test) in the quest for indepth analysis and deeper interpretation of the data. Learners were assigned to various van Hiele levels, mainly according to Usiskin’s (1982) forced van Hiele level determination scheme. The whole process of analysing the classroom videos involved a consultative panel of 4 observers and 3 critical readers, using the checklist of van Hiele phase descriptors to guide the analysis process. Concerning learners’ levels of geometric conceptualisation, the results from this study reveal that the most of the learners were not yet ready for the formal deductive study of school geometry, as only 2% and 3% of them were respectively at van Hiele levels 3 and 4, while 47%, 22% and 24% were at levels 0, 1 and 2, respectively. More learners from the Nigerian subsample (53%) were at van Hiele level 0 than learners from the South African subsample (41%) at this level. No learner from the Nigerian subsample was at van Hiele level 4, while 6% of the South African learners were at level 4. In general, learners from the Nigerian subsample had a poorer knowledge of school geometry than their peers from the South African subsample, as learners from the latter subsample obtained significantly higher mean scores in the van Hiele Geometry Test (VHGT) and each of the other tests used in this study. Results relating to gender differences in performance generally favour the male learners in this study. For each of the participating schools, learners’ van Hiele levels (as determined by their scores on the VHGT) strongly correlate with their performance in geometry content tests and mathematics generally. For each of the Nigerian and South African subsamples, for n ≤ 2, learners at van Hiele level n obtained higher means on nearly all the tests administered in this study than their peers at level n–1. This finding provides support for the hierarchical property of the van Hiele levels.
- Full Text:
- Date Issued: 2009
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