An investigation of how a visual teaching approach can possibly address issues of mathematics anxiety at a selected school in the Oshikoto region of Namibia
- Ngonga, Daniel Nghifikepunye
- Authors: Ngonga, Daniel Nghifikepunye
- Date: 2022-04-08
- Subjects: Visual learning Namibia , Math anxiety Namibia , Mathematics Study and teaching Namibia , After-school programs Namibia , Mathematics Study and teaching Activity programs
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/290637 , vital:56770
- Description: This Namibian case study aimed to explore a visual teaching approach (VTA) used by three selected teachers to address issues of mathematics anxiety (MA). The three teachers took part in an intervention program that was looking at how a VTA could be grown in the context of an after-school club (ASC) at my school. The selected teachers were the senior primary teachers at my school. The focus of the research was on how they taught mathematics using visuals after participating in an intervention programme. Their VTA made use of manipulatives, visuals, and concrete materials. The learners of the participating teachers completed a big MA pre-test, small MA tests, and a big MA post-test to determine their levels of MA as the teaching programme unfolded. The study hoped to create awareness amongst teachers and education researchers about the significant use of a VTA in the teaching and learning of mathematics to address issues of MA among the learners. It aimed to answer three research questions. One was on teachers’ use of a VTA in the context of an ASC; the second one was on comparisons of learners’ MA big pre and post-tests to detect any change of MA, and the last was on the enabling and constraining factors encountered when using a VTA. The main argument was that a VTA can encourage learners to be more confident and less anxious about doing mathematics. This study was framed by a constructivist perspective and its design and methodology were underpinned by an interpretive paradigm. This mixed-method research study employed video-recorded observations and stimulated recall interviews, learners’ MA test results, and the teachers’ focus group interviews as the means of collecting data. To generate rich data and support validity, four lessons per selected teacher were observed and video recorded; 54 learners completed the MA tests of 16 questions, and three teachers answered seven questions each in the focus group interview (FGI) after the stimulus recall interviews (SRI) which were done immediately after the lesson presentations. The study found that the participating teachers incorporated a variety of visuals into their lessons to make the mathematics fun, inspiring, visible, hands-on, and activity-oriented. They engaged the learners and also found that the use of visuals motivated learners and reduced their MA. , Thesis (MED) -- Faculty of Education, Education, 2022
- Full Text:
- Date Issued: 2022-04-08
- Authors: Ngonga, Daniel Nghifikepunye
- Date: 2022-04-08
- Subjects: Visual learning Namibia , Math anxiety Namibia , Mathematics Study and teaching Namibia , After-school programs Namibia , Mathematics Study and teaching Activity programs
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/290637 , vital:56770
- Description: This Namibian case study aimed to explore a visual teaching approach (VTA) used by three selected teachers to address issues of mathematics anxiety (MA). The three teachers took part in an intervention program that was looking at how a VTA could be grown in the context of an after-school club (ASC) at my school. The selected teachers were the senior primary teachers at my school. The focus of the research was on how they taught mathematics using visuals after participating in an intervention programme. Their VTA made use of manipulatives, visuals, and concrete materials. The learners of the participating teachers completed a big MA pre-test, small MA tests, and a big MA post-test to determine their levels of MA as the teaching programme unfolded. The study hoped to create awareness amongst teachers and education researchers about the significant use of a VTA in the teaching and learning of mathematics to address issues of MA among the learners. It aimed to answer three research questions. One was on teachers’ use of a VTA in the context of an ASC; the second one was on comparisons of learners’ MA big pre and post-tests to detect any change of MA, and the last was on the enabling and constraining factors encountered when using a VTA. The main argument was that a VTA can encourage learners to be more confident and less anxious about doing mathematics. This study was framed by a constructivist perspective and its design and methodology were underpinned by an interpretive paradigm. This mixed-method research study employed video-recorded observations and stimulated recall interviews, learners’ MA test results, and the teachers’ focus group interviews as the means of collecting data. To generate rich data and support validity, four lessons per selected teacher were observed and video recorded; 54 learners completed the MA tests of 16 questions, and three teachers answered seven questions each in the focus group interview (FGI) after the stimulus recall interviews (SRI) which were done immediately after the lesson presentations. The study found that the participating teachers incorporated a variety of visuals into their lessons to make the mathematics fun, inspiring, visible, hands-on, and activity-oriented. They engaged the learners and also found that the use of visuals motivated learners and reduced their MA. , Thesis (MED) -- Faculty of Education, Education, 2022
- Full Text:
- Date Issued: 2022-04-08
The use of smartphones and visualisation processes for conceptual understanding of mensuration: a case study of the Mathcitymap Project in Namibia
- Authors: Shimakeleni, Liina
- Date: 2022-04-08
- Subjects: Mathematics Study and teaching (Secondary) Namibia Oshana , Smartphones , Visual learning , Measurement , Concept learning , MathCityMap (MCM) project
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/290649 , vital:56771
- Description: The aim of this study was to investigate and analyse the potential use of smartphones as visualisation tools by learners to enhance conceptual understanding through mathematics trails developed using the MathCityMap (MCM) project. This research study is part of the VIPROmaths project which seeks to research the effective use of visualisation processes in mathematics classrooms in South Africa, Namibia, Zambia, Switzerland and Germany. This study adopted a case of twelve purposively selected Grade 9 learners from a school in the Eheke circuit of the Oshana region, Namibia. This study was framed within a social constructivist perspective and sought to investigate visualisation processes as well as conceptual understanding of learners as they conceptualised the MCM tasks in new, outdoor and collaborative learning situations. The MCM app was installed on selected learners’ smartphones to access and to walk the MCM trails located in various places in the schoolyard. Three MCM trails based on three key themes of mensuration (perimeter, area and volume) were created. Each consisted of four tasks that were sourced and developed in line with the Grade 9 Namibian mathematics syllabus. This study is oriented in an interpretive paradigm and employed video-recorded observations and focus group interviews as qualitative data collection methods. Data collected were analysed first using the themes developed from Ho’s (2010) work on visualisation processes and Kilpatrick, Swafford, and Findell’s (2001) conceptual understanding. During analysis, some themes emerged from the data and were considered. Findings from this study revealed that smartphones afforded learners ample opportunities to enhance the visualisation processes that they went through as they learned the concepts of measurement. In addition to this, some learners were initially pessimistic regarding the use of smartphones for learning purposes. This study recommends that resources such as MCM be effectively be used in formal school settings. The learning of measurement can be advanced in outdoor settings where learners have physical and spatial access to the learning content. Smartphone technology can be used as an additional tool to integrate Information and Communication Technology (ICT) in learning mathematics within the Namibian context. , Thesis (MED) -- Faculty of Education, Education, 2022
- Full Text:
- Date Issued: 2022-04-08
- Authors: Shimakeleni, Liina
- Date: 2022-04-08
- Subjects: Mathematics Study and teaching (Secondary) Namibia Oshana , Smartphones , Visual learning , Measurement , Concept learning , MathCityMap (MCM) project
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/290649 , vital:56771
- Description: The aim of this study was to investigate and analyse the potential use of smartphones as visualisation tools by learners to enhance conceptual understanding through mathematics trails developed using the MathCityMap (MCM) project. This research study is part of the VIPROmaths project which seeks to research the effective use of visualisation processes in mathematics classrooms in South Africa, Namibia, Zambia, Switzerland and Germany. This study adopted a case of twelve purposively selected Grade 9 learners from a school in the Eheke circuit of the Oshana region, Namibia. This study was framed within a social constructivist perspective and sought to investigate visualisation processes as well as conceptual understanding of learners as they conceptualised the MCM tasks in new, outdoor and collaborative learning situations. The MCM app was installed on selected learners’ smartphones to access and to walk the MCM trails located in various places in the schoolyard. Three MCM trails based on three key themes of mensuration (perimeter, area and volume) were created. Each consisted of four tasks that were sourced and developed in line with the Grade 9 Namibian mathematics syllabus. This study is oriented in an interpretive paradigm and employed video-recorded observations and focus group interviews as qualitative data collection methods. Data collected were analysed first using the themes developed from Ho’s (2010) work on visualisation processes and Kilpatrick, Swafford, and Findell’s (2001) conceptual understanding. During analysis, some themes emerged from the data and were considered. Findings from this study revealed that smartphones afforded learners ample opportunities to enhance the visualisation processes that they went through as they learned the concepts of measurement. In addition to this, some learners were initially pessimistic regarding the use of smartphones for learning purposes. This study recommends that resources such as MCM be effectively be used in formal school settings. The learning of measurement can be advanced in outdoor settings where learners have physical and spatial access to the learning content. Smartphone technology can be used as an additional tool to integrate Information and Communication Technology (ICT) in learning mathematics within the Namibian context. , Thesis (MED) -- Faculty of Education, Education, 2022
- Full Text:
- Date Issued: 2022-04-08
An evaluation of the impact of the Rhodes University Master of Education in Mathematics Education Programme in Namibia from the perspectives of its graduates
- Authors: David, Johannes
- Date: 2021-10-29
- Subjects: Master of education degree Namibia , Rhodes University. Department of Education , Mathematics Study and teaching , Critical thinking , Master of education degree Evaluation , Career development Namibia , Educational change Namibia , College students Attitudes
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/191942 , vital:45181
- Description: Rhodes University (RU) has been offering a MEdME (Masters in Education, Mathematics Education) degree in Namibia for over 12 years without evaluating its success and impact. This study aimed to evaluate the MEdME programme’s impact on the graduates and on mathematics education in Namibia from the perspectives of its graduates. The study also evaluated the factors that enabled or limited the impact of the programme from the perspective of RU staff members. A three-phased research study was implemented to achieve this. Phase I was a MEdME theses audit to analyze what each graduate researched which then guided the sampling process. Phase II was a distribution of a questionnaire to willing MEdME graduates to elicit their views about the programme's impact. In Phase III, selected graduates were interviewed to follow up on the questionnaire. The RU academic staff members were also interviewed about the programme's design and rationale, as well as their perspectives on its impact on graduates' professional lives. The study found that graduates believed that the programme made them more critical reflexive practitioners (CRPs) who: are now self-introspective, can reflect in context and are competent researchers. This is a sign of the programme attaining its objectives of developing and growing CRPs and graduates, who have advanced in their fields, including their ability to do research. The programme also created opportunities for graduates to study further and/or publish papers. The programme further opened up opportunities for graduates’ promotion into positions of influence in the Ministry of Education where they can positively impact on mathematics education transformation in Namibia (METN). The graduates consequently noticed improvements in some areas but they also noticed room for improvement in other areas of mathematics education in Namibia. This study therefore suggests that more mathematics teachers study further, improve their research capacity and contribute more to METN. The study also suggests a national campaign to increase mathematics teachers' content knowledge. Furthermore, the programme should reintroduce coursework to address students’ subject content knowledge. RU is also advised to explore offering a Professional MEd in Namibia for students who want to focus more on improving their mathematics content knowledge. It is also proposed that Namibia establish a research bank where researchers can upload their theses for wider dissemination. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
- Authors: David, Johannes
- Date: 2021-10-29
- Subjects: Master of education degree Namibia , Rhodes University. Department of Education , Mathematics Study and teaching , Critical thinking , Master of education degree Evaluation , Career development Namibia , Educational change Namibia , College students Attitudes
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/191942 , vital:45181
- Description: Rhodes University (RU) has been offering a MEdME (Masters in Education, Mathematics Education) degree in Namibia for over 12 years without evaluating its success and impact. This study aimed to evaluate the MEdME programme’s impact on the graduates and on mathematics education in Namibia from the perspectives of its graduates. The study also evaluated the factors that enabled or limited the impact of the programme from the perspective of RU staff members. A three-phased research study was implemented to achieve this. Phase I was a MEdME theses audit to analyze what each graduate researched which then guided the sampling process. Phase II was a distribution of a questionnaire to willing MEdME graduates to elicit their views about the programme's impact. In Phase III, selected graduates were interviewed to follow up on the questionnaire. The RU academic staff members were also interviewed about the programme's design and rationale, as well as their perspectives on its impact on graduates' professional lives. The study found that graduates believed that the programme made them more critical reflexive practitioners (CRPs) who: are now self-introspective, can reflect in context and are competent researchers. This is a sign of the programme attaining its objectives of developing and growing CRPs and graduates, who have advanced in their fields, including their ability to do research. The programme also created opportunities for graduates to study further and/or publish papers. The programme further opened up opportunities for graduates’ promotion into positions of influence in the Ministry of Education where they can positively impact on mathematics education transformation in Namibia (METN). The graduates consequently noticed improvements in some areas but they also noticed room for improvement in other areas of mathematics education in Namibia. This study therefore suggests that more mathematics teachers study further, improve their research capacity and contribute more to METN. The study also suggests a national campaign to increase mathematics teachers' content knowledge. Furthermore, the programme should reintroduce coursework to address students’ subject content knowledge. RU is also advised to explore offering a Professional MEd in Namibia for students who want to focus more on improving their mathematics content knowledge. It is also proposed that Namibia establish a research bank where researchers can upload their theses for wider dissemination. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
Exploring indiginising the university’s science curriculum through bottom-up decolonisation: Affordances and hindrances
- Authors: Mutanho, Chrispen
- Date: 2021-10-29
- Subjects: Decolonization South Africa , Ethnoscience South Africa , Ubuntu (Philosophy) , Pedagogical content knowledge , Culturally relevant pedagogy , Science Study and teaching South Africa , Science teachers In-service training South Africa , Transformative learning South Africa , Cultural-historical activity theory (CHAT)
- Language: English
- Type: Doctoral theses , text
- Identifier: http://hdl.handle.net/10962/191668 , vital:45146 , 10.21504/10962/191668
- Description: The integration of indigenous knowledge (IK) in the science curriculum is a spreading phenomenon driven by the need to bring about relevancy and equality in science education. In South Africa, for instance, the need to integrate IK in science education is part of the global effort to build a democratic state from the debris of apartheid. Henceforth, the integration of IK is backed up by both the National Constitution of the Republic of South Africa (Act 108 of 1996) and the South African Department of Basic Education’s (2011) National Curriculum Assessment Policy Statement. However, the success of this policy seems to be hindered in part by the fact that the teachers who are the implementers of the curriculum changes seem to lack the relevant pedagogical content knowledge (PCK) to integrate IK in their science teaching repertoires. Such a trend is often blamed on their Eurocentric educational background. Interestingly, very little research has been done to explore ways of supporting teachers to develop the relevant conceptual tools and teaching strategies that will enable them to integrate IK in science teaching. It is against this background that an interventionist case study on how to support the Bachelor of Education Natural Sciences in-service teachers in particular to develop exemplar science lessons that integrate IK as easily accessible resources was conducted. The study is underpinned by three complementary paradigms, namely, the interpretive, the critical, and indigenous research paradigms. While the interpretive paradigm enabled me to understand and interpret descriptive data, the critical paradigm enabled me to take an emancipatory stance and challenge the micro-aggressive elements embedded in conventional research practices; within the indigenous research paradigm, Ubuntu was the relational perspective that informed the researcher-participant relationships in this study. Vygotsky’s sociocultural theory was used as an overarching theoretical framework, in conjunction with the cultural historical activity theory. Additionally, the topic-specific pedagogical content knowledge provided the methodological and analytical tools. Data were gathered through questionnaires, individual face-to-face interviews, focus group interview, participatory observation, and the teachers’ reflections. This study established that if teachers are given back the agency to collaboratively resolve the contradictions that confront them in their workplaces, they can generate their own ideas on how to integrate IK in science vii teaching. The teachers in this study experienced a shift in their agency from a paralysed state of resisting the integration of IK at the beginning of the intervention to an ‘I can do it’ attitude at the end of the intervention. Thus, it could be argued that this study’s major contribution to new knowledge lies in demonstrating possible ways of supporting teachers to integrate IK as easily accessible resources in their science teaching. Additionally, the study also challenged the Eurocentric approach to ethics and offered Ubuntu as a relational perspective that can be used to complement the shortcomings of Eurocentric research paradigms. The study thus recommends that continuing professional development or professional learning communities should afford teachers the opportunity to collaboratively engage with the challenges that they face in their workplaces in order to resolve the contradictions that confront them. , Thesis (PhD) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
- Authors: Mutanho, Chrispen
- Date: 2021-10-29
- Subjects: Decolonization South Africa , Ethnoscience South Africa , Ubuntu (Philosophy) , Pedagogical content knowledge , Culturally relevant pedagogy , Science Study and teaching South Africa , Science teachers In-service training South Africa , Transformative learning South Africa , Cultural-historical activity theory (CHAT)
- Language: English
- Type: Doctoral theses , text
- Identifier: http://hdl.handle.net/10962/191668 , vital:45146 , 10.21504/10962/191668
- Description: The integration of indigenous knowledge (IK) in the science curriculum is a spreading phenomenon driven by the need to bring about relevancy and equality in science education. In South Africa, for instance, the need to integrate IK in science education is part of the global effort to build a democratic state from the debris of apartheid. Henceforth, the integration of IK is backed up by both the National Constitution of the Republic of South Africa (Act 108 of 1996) and the South African Department of Basic Education’s (2011) National Curriculum Assessment Policy Statement. However, the success of this policy seems to be hindered in part by the fact that the teachers who are the implementers of the curriculum changes seem to lack the relevant pedagogical content knowledge (PCK) to integrate IK in their science teaching repertoires. Such a trend is often blamed on their Eurocentric educational background. Interestingly, very little research has been done to explore ways of supporting teachers to develop the relevant conceptual tools and teaching strategies that will enable them to integrate IK in science teaching. It is against this background that an interventionist case study on how to support the Bachelor of Education Natural Sciences in-service teachers in particular to develop exemplar science lessons that integrate IK as easily accessible resources was conducted. The study is underpinned by three complementary paradigms, namely, the interpretive, the critical, and indigenous research paradigms. While the interpretive paradigm enabled me to understand and interpret descriptive data, the critical paradigm enabled me to take an emancipatory stance and challenge the micro-aggressive elements embedded in conventional research practices; within the indigenous research paradigm, Ubuntu was the relational perspective that informed the researcher-participant relationships in this study. Vygotsky’s sociocultural theory was used as an overarching theoretical framework, in conjunction with the cultural historical activity theory. Additionally, the topic-specific pedagogical content knowledge provided the methodological and analytical tools. Data were gathered through questionnaires, individual face-to-face interviews, focus group interview, participatory observation, and the teachers’ reflections. This study established that if teachers are given back the agency to collaboratively resolve the contradictions that confront them in their workplaces, they can generate their own ideas on how to integrate IK in science vii teaching. The teachers in this study experienced a shift in their agency from a paralysed state of resisting the integration of IK at the beginning of the intervention to an ‘I can do it’ attitude at the end of the intervention. Thus, it could be argued that this study’s major contribution to new knowledge lies in demonstrating possible ways of supporting teachers to integrate IK as easily accessible resources in their science teaching. Additionally, the study also challenged the Eurocentric approach to ethics and offered Ubuntu as a relational perspective that can be used to complement the shortcomings of Eurocentric research paradigms. The study thus recommends that continuing professional development or professional learning communities should afford teachers the opportunity to collaboratively engage with the challenges that they face in their workplaces in order to resolve the contradictions that confront them. , Thesis (PhD) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
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