The nature of Visual Representations of multiplication and division exercises in nine Grades 1 to 3 South African textbooks
- Authors: Booysen, Tammy Irene
- Date: 2023-03-29
- Subjects: Mathematics Textbooks , Mathematics Study and teaching (Elementary) South Africa , Visual learning , Multiplication Study and teaching (Elementary) South Africa , Division Study and teaching (Elementary) South Africa , Constructivism (Education)
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/422579 , vital:71959
- Description: Mathematics is a language that is rich in visual representations (Mudaly & Rampersad, 2010). Visual Representations assist us in developing our reasoning skills when solving a problem and our understanding of the relationships between concepts (Ozkan et al., 2018). This thesis focuses on the different visual representations (VR) in South African Foundation Phase mathematics textbooks and workbooks. Textbooks and workbooks play an important role in developing an understanding of mathematical concepts for both teachers and learners (Harries & Spooner, 2000). While teachers generally rely heavily on textbooks, they were a key resource while schools were closed due to COVID-19 lockdown regulations. The theory of Constructivism forms part of the theoretical framework for this study. Constructivism advocates that learners actively construct knowledge through experiences rather than passively receiving knowledge from the outside (Von Glaserfeld, 2001). Vygotsky believed that social interactions create experiences that facilitate the learning and meaning-making process (Vygotsky, 1978). This case study is underpinned by an interpretivist paradigm as it sought to examine the nature of VRs in three Grades 1 - 3 textbooks/workbooks. My research approach is primarily qualitative with descriptive statistics to assist in developing a more comprehensive understanding of the research questions. The study was guided by the analytic tool designed by Fotakopoulou and Spiliotopoulou (2008) which I adapted for Foundation Phase mathematics use. The framework provides insight on the type of VR, VRs relation to content, VRs relation to reality, the function of the VR and dimensionality of a VR. While the workbooks had many more VRs than textbooks, the dominant type of VR in textbooks and workbooks are images. The VRs mostly have a strong relation to content with a realistic relation to reality as they were predominantly 2D representation of a 3D object that had an exemplifying function (type b). , Thesis (MEd) -- Faculty of Education, Education, 2023
- Full Text:
- Date Issued: 2023-03-29
- Authors: Booysen, Tammy Irene
- Date: 2023-03-29
- Subjects: Mathematics Textbooks , Mathematics Study and teaching (Elementary) South Africa , Visual learning , Multiplication Study and teaching (Elementary) South Africa , Division Study and teaching (Elementary) South Africa , Constructivism (Education)
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/422579 , vital:71959
- Description: Mathematics is a language that is rich in visual representations (Mudaly & Rampersad, 2010). Visual Representations assist us in developing our reasoning skills when solving a problem and our understanding of the relationships between concepts (Ozkan et al., 2018). This thesis focuses on the different visual representations (VR) in South African Foundation Phase mathematics textbooks and workbooks. Textbooks and workbooks play an important role in developing an understanding of mathematical concepts for both teachers and learners (Harries & Spooner, 2000). While teachers generally rely heavily on textbooks, they were a key resource while schools were closed due to COVID-19 lockdown regulations. The theory of Constructivism forms part of the theoretical framework for this study. Constructivism advocates that learners actively construct knowledge through experiences rather than passively receiving knowledge from the outside (Von Glaserfeld, 2001). Vygotsky believed that social interactions create experiences that facilitate the learning and meaning-making process (Vygotsky, 1978). This case study is underpinned by an interpretivist paradigm as it sought to examine the nature of VRs in three Grades 1 - 3 textbooks/workbooks. My research approach is primarily qualitative with descriptive statistics to assist in developing a more comprehensive understanding of the research questions. The study was guided by the analytic tool designed by Fotakopoulou and Spiliotopoulou (2008) which I adapted for Foundation Phase mathematics use. The framework provides insight on the type of VR, VRs relation to content, VRs relation to reality, the function of the VR and dimensionality of a VR. While the workbooks had many more VRs than textbooks, the dominant type of VR in textbooks and workbooks are images. The VRs mostly have a strong relation to content with a realistic relation to reality as they were predominantly 2D representation of a 3D object that had an exemplifying function (type b). , Thesis (MEd) -- Faculty of Education, Education, 2023
- Full Text:
- Date Issued: 2023-03-29
Exploring how Grade 10 Biology teachers implement practical activities on food tests in Otjozondjupa Region, Namibia
- Authors: Shoopala, Julia Nelago
- Date: 2022-10-14
- Subjects: Pedagogical content knowledge , Biology Study and teaching (Secondary) Namibia , Biology Study and teaching Activity programs Namibia , Food Testing , Visual learning , Biology teachers In-service training Namibia
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/405401 , vital:70168
- Description: The Namibian examiners’ reports have repeatedly reported that Biology is generally poorly performed in most schools and the topic on food tests has been identified as one of the problematic areas. My assumption is that this could be due in part to the lack of inadequate hands-on practical activities that are conducted in most schools in Namibia. In my view, for students to understand food tests and its associated concepts, they need to do hands-on practical activities. It is against this background that in this study I explored enablers and/or constraints when Grade 10 Biology teachers mediate learning of food tests using hands-on practical activities. This study is underpinned by an interpretive paradigm, within which a qualitative case study approach was employed. For my baseline data, I used a questionnaire and I also interviewed two Grade 10 Biology teachers using semi-structured interviews. Afterwards, the two Grade 10 Biology teachers were observed while teaching the topic of food tests. The lessons were videotaped and thereafter I conducted a stimulated recall interview watching the videos with each of these teachers. Further, we also discussed and reflected as a group on the mediation of learning on food tests. I used Shulman’s Pedagogical Content Knowledge (PCK) as my theoretical framework. Within PCK, I used the five Topic-Specific Pedagogical Knowledge (TSPCK) components by Mavhunga and Rollnick as my analytical framework. A thematic approach to data analysis was employed to come up with categories, sub-themes and themes. The findings revealed that Biology teachers do not have a dedicated laboratory for conducting Biology practicals and would instead conduct them in a common laboratory that is employed for both Physical Science and Biology or in their classrooms. There are inadequate resources to complement hands-on activities and teachers lack the capacity, skills and necessary knowledge needed to deliver practical work. The two participants did not bother to do enough practical work and instead taught Biology as a very theoretical topic, which disadvantaged learners for Paper 3, which serves as an alternative to course work. The study also revealed that teachers failed to conduct Biology practicals. They claimed to be doing so, but there were few practicals/experiments being carried out in those schools. The participants stated that the issue of time to conduct practical experiments for food tests was not sufficient. They complained that the processes were exhausting and tiresome and left them drained as they ran around trying to implement the practical experiments. Furthermore, a large number of learners results in overcrowded Biology classes and makes it difficult for the teachers to control them, which affected the teachers’ ability to perform practical experiments. The participants said that the high number of learners makes it difficult for them to accommodate all students in the laboratories, and that the laboratories themselves do not accommodate many learners. The study, thus, recommends that there should be continuous professional development programmes in schools to assist Biology teachers who have challenges in doing hands-on practical activities. Additionally, improvisation in terms of field trips that deal with biological aspects such as food and chemical manufacturers and hospitals should be carried out to allow learners to gain appreciation of the practical aspects of Biology in education. , Thesis (MEd) -- Faculty of Education, Education, 2022
- Full Text:
- Date Issued: 2022-10-14
- Authors: Shoopala, Julia Nelago
- Date: 2022-10-14
- Subjects: Pedagogical content knowledge , Biology Study and teaching (Secondary) Namibia , Biology Study and teaching Activity programs Namibia , Food Testing , Visual learning , Biology teachers In-service training Namibia
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/405401 , vital:70168
- Description: The Namibian examiners’ reports have repeatedly reported that Biology is generally poorly performed in most schools and the topic on food tests has been identified as one of the problematic areas. My assumption is that this could be due in part to the lack of inadequate hands-on practical activities that are conducted in most schools in Namibia. In my view, for students to understand food tests and its associated concepts, they need to do hands-on practical activities. It is against this background that in this study I explored enablers and/or constraints when Grade 10 Biology teachers mediate learning of food tests using hands-on practical activities. This study is underpinned by an interpretive paradigm, within which a qualitative case study approach was employed. For my baseline data, I used a questionnaire and I also interviewed two Grade 10 Biology teachers using semi-structured interviews. Afterwards, the two Grade 10 Biology teachers were observed while teaching the topic of food tests. The lessons were videotaped and thereafter I conducted a stimulated recall interview watching the videos with each of these teachers. Further, we also discussed and reflected as a group on the mediation of learning on food tests. I used Shulman’s Pedagogical Content Knowledge (PCK) as my theoretical framework. Within PCK, I used the five Topic-Specific Pedagogical Knowledge (TSPCK) components by Mavhunga and Rollnick as my analytical framework. A thematic approach to data analysis was employed to come up with categories, sub-themes and themes. The findings revealed that Biology teachers do not have a dedicated laboratory for conducting Biology practicals and would instead conduct them in a common laboratory that is employed for both Physical Science and Biology or in their classrooms. There are inadequate resources to complement hands-on activities and teachers lack the capacity, skills and necessary knowledge needed to deliver practical work. The two participants did not bother to do enough practical work and instead taught Biology as a very theoretical topic, which disadvantaged learners for Paper 3, which serves as an alternative to course work. The study also revealed that teachers failed to conduct Biology practicals. They claimed to be doing so, but there were few practicals/experiments being carried out in those schools. The participants stated that the issue of time to conduct practical experiments for food tests was not sufficient. They complained that the processes were exhausting and tiresome and left them drained as they ran around trying to implement the practical experiments. Furthermore, a large number of learners results in overcrowded Biology classes and makes it difficult for the teachers to control them, which affected the teachers’ ability to perform practical experiments. The participants said that the high number of learners makes it difficult for them to accommodate all students in the laboratories, and that the laboratories themselves do not accommodate many learners. The study, thus, recommends that there should be continuous professional development programmes in schools to assist Biology teachers who have challenges in doing hands-on practical activities. Additionally, improvisation in terms of field trips that deal with biological aspects such as food and chemical manufacturers and hospitals should be carried out to allow learners to gain appreciation of the practical aspects of Biology in education. , Thesis (MEd) -- Faculty of Education, Education, 2022
- Full Text:
- Date Issued: 2022-10-14
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 analysis of selected Grade 8 mathematics teachers’ use of gestures as visualisation tools to support mathematical meaning-making
- Authors: Haipinge, David Tuhafeni
- Date: 2021-10-29
- Subjects: Gesture , Gesture in mathematics education , Visual learning , Visualization , Mathematics Study and teaching (Secondary) Namibia
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/191969 , vital:45184
- Description: The purpose of this Namibian case study was to investigate how different types of gestures are used to support the construction of mathematical meaning making in teaching and learning. Gestures of three selected Grade 8 mathematics teachers were observed and analysed. This study was intended to answer the following research question: how do selected Grade 8 mathematics teachers use gestures as visualisation tools to support mathematical meaning making? The study was framed by an enactivist perspective and the research was oriented in the interpretive paradigm. Data were collected through video-recorded observations of three selected teachers and through stimulus recall interviews. In order to generate rich data and support validity, five lessons per selected teacher were video recorded. The study found that the participating teachers incorporated a variety of mathematical gestures into their lessons in order to support and provide mathematical meaning. Further, this study found that gestures facilitated meaning making in mathematics. The findings in the study suggest a need for mathematics teachers to be trained in using gestures appropriately to communicate mathematically in their lessons. In addition, this study discovered a new type of gesture – the overlapping gesture in addition to McNeill's (1992) types, namely: pointing gestures, metaphor gestures, beating gestures and iconic gestures. This case study also showed that the more experienced the teachers are, the more mathematical gestures they produce during their mathematics lessons. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
- Authors: Haipinge, David Tuhafeni
- Date: 2021-10-29
- Subjects: Gesture , Gesture in mathematics education , Visual learning , Visualization , Mathematics Study and teaching (Secondary) Namibia
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/191969 , vital:45184
- Description: The purpose of this Namibian case study was to investigate how different types of gestures are used to support the construction of mathematical meaning making in teaching and learning. Gestures of three selected Grade 8 mathematics teachers were observed and analysed. This study was intended to answer the following research question: how do selected Grade 8 mathematics teachers use gestures as visualisation tools to support mathematical meaning making? The study was framed by an enactivist perspective and the research was oriented in the interpretive paradigm. Data were collected through video-recorded observations of three selected teachers and through stimulus recall interviews. In order to generate rich data and support validity, five lessons per selected teacher were video recorded. The study found that the participating teachers incorporated a variety of mathematical gestures into their lessons in order to support and provide mathematical meaning. Further, this study found that gestures facilitated meaning making in mathematics. The findings in the study suggest a need for mathematics teachers to be trained in using gestures appropriately to communicate mathematically in their lessons. In addition, this study discovered a new type of gesture – the overlapping gesture in addition to McNeill's (1992) types, namely: pointing gestures, metaphor gestures, beating gestures and iconic gestures. This case study also showed that the more experienced the teachers are, the more mathematical gestures they produce during their mathematics lessons. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
Re-imagining the use of the abacus as a visualization tool to develop number sense in Grade 3 learners
- Authors: Elifas, Taimi Ndinelago
- Date: 2021-10-29
- Subjects: Abacus , Mathematics Study and teaching (Elementary) Namibia , Visual learning , Teaching Aids and devices , Constructivism (Education) , Effective teaching Namibia
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/191953 , vital:45182
- Description: The poor performance of learners in mathematics has long been a matter of concern in Namibia. After more than three decades after independence, the country's education system is still seeking ways of addressing the high rate of poor performance in mathematics. Research previously conducted pointed out the lack of number sense in learners, as one of the contributing factors to the poor performance in mathematics. This research study is a contribution towards using the abacus as a visualization tool to develop number sense in the Foundation Phase. The study was premised on the thought – supported by literature – that effective use of concrete equipment and manipulatives, of which the abacus is part of, does affect the teaching and learning of number sense. The study further examines the use of the abacus as a visualization tool to develop number sense by the four selected Grade 3 teachers. The study argues that the effective use of the abacus develops number sense in learners. This study was framed as a multiple case study that was grounded within an interpretive paradigm and informed by the constructivist learning theory. The qualitative data of this study were collected using questionnaires, observation, reflective journals, and semi-structured interviews. The data were then analyzed using thematic analysis and an analytical tool developed from relevant literature. A survey was conducted using 50 Foundation Phase teachers in the //Kharas region, while the intervention programme consisted of four purposively selected teachers from the four primary schools in the Kalahari circuit in the Keetmanshoop district. The findings of this study revealed that the majority of teachers were not aware of abacus use in teaching mathematics before the intervention programme. It was also revealed that the few teachers that use the abacus as a visualization tool to develop number sense, employ it as a counting tool for explaining certain concepts and as well as for teaching simple arithmetic. In this research study, the selected teachers use the abacus to link the abstract mathematics content to a concrete way of doing mathematics. In the absence of the abacus in classrooms, various manipulatives are used to develop learners’ number sense. Mathematical games, verbalizing mathematics concepts, and drawing pictures to visualize abstract concepts among others are used by the selected teachers to enhance the development of number sense in the Foundation Phase. The use of the abacus by the selected teachers effectively fostered the visualization process and the conceptual understanding of number sense in learners. Through the abacus, teachers led their learners into visualizing number sense concepts such as subitizing, computing, performing mental mathematics and physical representation of numbers in different ways. The abacus was used by teachers to enhance listening skills, improve concentration and strengthen the memory of learners. On the other hand, the study also revealed that despite the various benefits of the abacus, it is time consuming. The lack of abacus use in previous grades has a huge impact on the use of it and the development of learners’ number sense in the grades being studied in this research study. Teachers are recommended to make their own abacuses, encourage learners to make their own abacuses from the readily available materials, and to allow the learners to realize that the mathematics they are doing in classrooms is around them. The use of re-imagining, re-envisioning, re-conceptualizing and re-examining of so-called ‘old teaching tools’ such as the abacus, needs to be encouraged through in-service and pre-service teacher training programmes. The study concludes that the use of traditional algorithm methods do not promote conceptual understanding and visual strategies for Foundation Phase learners and should be discouraged. It is hoped that this study will contribute towards improving the practices of mathematics teachers primarily in the Keetmanshoop district, //Kharas Region and in the rest our Namibian schools. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
- Authors: Elifas, Taimi Ndinelago
- Date: 2021-10-29
- Subjects: Abacus , Mathematics Study and teaching (Elementary) Namibia , Visual learning , Teaching Aids and devices , Constructivism (Education) , Effective teaching Namibia
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/191953 , vital:45182
- Description: The poor performance of learners in mathematics has long been a matter of concern in Namibia. After more than three decades after independence, the country's education system is still seeking ways of addressing the high rate of poor performance in mathematics. Research previously conducted pointed out the lack of number sense in learners, as one of the contributing factors to the poor performance in mathematics. This research study is a contribution towards using the abacus as a visualization tool to develop number sense in the Foundation Phase. The study was premised on the thought – supported by literature – that effective use of concrete equipment and manipulatives, of which the abacus is part of, does affect the teaching and learning of number sense. The study further examines the use of the abacus as a visualization tool to develop number sense by the four selected Grade 3 teachers. The study argues that the effective use of the abacus develops number sense in learners. This study was framed as a multiple case study that was grounded within an interpretive paradigm and informed by the constructivist learning theory. The qualitative data of this study were collected using questionnaires, observation, reflective journals, and semi-structured interviews. The data were then analyzed using thematic analysis and an analytical tool developed from relevant literature. A survey was conducted using 50 Foundation Phase teachers in the //Kharas region, while the intervention programme consisted of four purposively selected teachers from the four primary schools in the Kalahari circuit in the Keetmanshoop district. The findings of this study revealed that the majority of teachers were not aware of abacus use in teaching mathematics before the intervention programme. It was also revealed that the few teachers that use the abacus as a visualization tool to develop number sense, employ it as a counting tool for explaining certain concepts and as well as for teaching simple arithmetic. In this research study, the selected teachers use the abacus to link the abstract mathematics content to a concrete way of doing mathematics. In the absence of the abacus in classrooms, various manipulatives are used to develop learners’ number sense. Mathematical games, verbalizing mathematics concepts, and drawing pictures to visualize abstract concepts among others are used by the selected teachers to enhance the development of number sense in the Foundation Phase. The use of the abacus by the selected teachers effectively fostered the visualization process and the conceptual understanding of number sense in learners. Through the abacus, teachers led their learners into visualizing number sense concepts such as subitizing, computing, performing mental mathematics and physical representation of numbers in different ways. The abacus was used by teachers to enhance listening skills, improve concentration and strengthen the memory of learners. On the other hand, the study also revealed that despite the various benefits of the abacus, it is time consuming. The lack of abacus use in previous grades has a huge impact on the use of it and the development of learners’ number sense in the grades being studied in this research study. Teachers are recommended to make their own abacuses, encourage learners to make their own abacuses from the readily available materials, and to allow the learners to realize that the mathematics they are doing in classrooms is around them. The use of re-imagining, re-envisioning, re-conceptualizing and re-examining of so-called ‘old teaching tools’ such as the abacus, needs to be encouraged through in-service and pre-service teacher training programmes. The study concludes that the use of traditional algorithm methods do not promote conceptual understanding and visual strategies for Foundation Phase learners and should be discouraged. It is hoped that this study will contribute towards improving the practices of mathematics teachers primarily in the Keetmanshoop district, //Kharas Region and in the rest our Namibian schools. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-10-29
An analysis of intrasemiotic and intersemiotic relations of textual and visual modes in Namibian school science textbooks
- Authors: Mateus, Venasius
- Date: 2021-04
- Subjects: Science -- Study and teaching (Secondary) -- Namibia , Semiotics , Force and energy , Visual learning , Verbal learning , Functionalism (Linguistics) , Science -- Textbooks
- Language: English
- Type: thesis , text , Masters , MEd
- Identifier: http://hdl.handle.net/10962/177203 , vital:42799
- Description: Although science education in Namibia receives much attention, learners’ performance is low in subjects such as Physical Sciences. The topic of Forces is among the topics in Physical Sciences where learners perform poorly. The provision of basic education in Namibia faces many challenges. One of these is that many teachers are not fully qualified for teaching the subjects they currently teach. Another (possibly related) challenge is that the majority of teachers in Namibian schools rely heavily on school textbooks when planning their lessons. In addition, learners use school textbooks as learning aids. The textbooks are developed and published in the private sector and based on the national curriculum statements. Quality of education has been amongst the major goals of education in Namibia. For quality assurance purposes, school science textbooks have to undergo a formal evaluation process. School textbooks, especially science textbooks, are multimodal. This means that they are designed with various modes, such as the textual and visual, often used in expressing scientific meanings. Literature reveals the textual and visual as individual modes having their own affordances, however, when integrated in school science textbooks contribute to strengthened meanings. No study published was found in Namibia or elsewhere that focused on analysing the intrasemiotic and intersemiotic sense relations of the textual and visual modes in Namibian school Physical Sciences textbooks. This study therefore aimed at contributing to filling this knowledge gap. The research is a qualitative case study and employed the interpretive paradigm. The selected Physical Sciences textbooks that constitute the data in this study were explored in depth via document analysis. Related textual and visual modes in the Physical Sciences textbooks were analysed in order to help answer the research questions of the study. Systemic Functional Linguistics was employed as the theoretical underpinning for this study. In this study, the sense relations were explored in terms of the sense relation themes which were coded and developed from common features of scientific discourse. The results reveal that scientific knowledge within the textual mode in the topic of Forces is communicated mostly through synonymy and repetition while within the visual mode it is mostly through antonymy, collocation, and synonymy. This contributed to meaning potential in the topic of Forces for the three Physical Sciences textbooks. The results further indicated that the overall cohesion within the textual and visual modes in the topic of Forces is achieved since repetition, which is the most direct form of lexical cohesion together with synonymy, collocation, and antonymy which are aspects of cohesion, occurred most frequently within these modes. This result further indicates that meaning potential in the topic of Forces in the three Physical Sciences textbooks were strengthened. While some sense relations occurred most frequently within individual modes, they were less frequent in other modes and vice versa. This indicates that different modes have different affordances. Finally, it was found that combining the textual and visual modes in the topic of Forces contributes to intersemiotic complementarity being achieved through the sense relations of collocation, hyponymy, and meronymy. , Thesis (MEd) -- Education, Education, 2021
- Full Text:
- Date Issued: 2021-04
- Authors: Mateus, Venasius
- Date: 2021-04
- Subjects: Science -- Study and teaching (Secondary) -- Namibia , Semiotics , Force and energy , Visual learning , Verbal learning , Functionalism (Linguistics) , Science -- Textbooks
- Language: English
- Type: thesis , text , Masters , MEd
- Identifier: http://hdl.handle.net/10962/177203 , vital:42799
- Description: Although science education in Namibia receives much attention, learners’ performance is low in subjects such as Physical Sciences. The topic of Forces is among the topics in Physical Sciences where learners perform poorly. The provision of basic education in Namibia faces many challenges. One of these is that many teachers are not fully qualified for teaching the subjects they currently teach. Another (possibly related) challenge is that the majority of teachers in Namibian schools rely heavily on school textbooks when planning their lessons. In addition, learners use school textbooks as learning aids. The textbooks are developed and published in the private sector and based on the national curriculum statements. Quality of education has been amongst the major goals of education in Namibia. For quality assurance purposes, school science textbooks have to undergo a formal evaluation process. School textbooks, especially science textbooks, are multimodal. This means that they are designed with various modes, such as the textual and visual, often used in expressing scientific meanings. Literature reveals the textual and visual as individual modes having their own affordances, however, when integrated in school science textbooks contribute to strengthened meanings. No study published was found in Namibia or elsewhere that focused on analysing the intrasemiotic and intersemiotic sense relations of the textual and visual modes in Namibian school Physical Sciences textbooks. This study therefore aimed at contributing to filling this knowledge gap. The research is a qualitative case study and employed the interpretive paradigm. The selected Physical Sciences textbooks that constitute the data in this study were explored in depth via document analysis. Related textual and visual modes in the Physical Sciences textbooks were analysed in order to help answer the research questions of the study. Systemic Functional Linguistics was employed as the theoretical underpinning for this study. In this study, the sense relations were explored in terms of the sense relation themes which were coded and developed from common features of scientific discourse. The results reveal that scientific knowledge within the textual mode in the topic of Forces is communicated mostly through synonymy and repetition while within the visual mode it is mostly through antonymy, collocation, and synonymy. This contributed to meaning potential in the topic of Forces for the three Physical Sciences textbooks. The results further indicated that the overall cohesion within the textual and visual modes in the topic of Forces is achieved since repetition, which is the most direct form of lexical cohesion together with synonymy, collocation, and antonymy which are aspects of cohesion, occurred most frequently within these modes. This result further indicates that meaning potential in the topic of Forces in the three Physical Sciences textbooks were strengthened. While some sense relations occurred most frequently within individual modes, they were less frequent in other modes and vice versa. This indicates that different modes have different affordances. Finally, it was found that combining the textual and visual modes in the topic of Forces contributes to intersemiotic complementarity being achieved through the sense relations of collocation, hyponymy, and meronymy. , Thesis (MEd) -- Education, Education, 2021
- Full Text:
- Date Issued: 2021-04
Exploring the influences of an intersemiotic complementarity teaching approach on Grade 9 Namibian learners’ sense-making of chemical bonding
- Aikanga, Frans Paulus Shintaleleni
- Authors: Aikanga, Frans Paulus Shintaleleni
- Date: 2021-04
- Subjects: Physical sciences -- Study and teaching (Secondary) -- Namibia , Chemical bonds , Semiotics , Cognition in children , Communication in education , Language and education -- Namibia , Visual learning , Verbal learning
- Language: English
- Type: thesis , text , Masters , MEd
- Identifier: http://hdl.handle.net/10962/178281 , vital:42927
- Description: Anecdotal evidence from my 10 years’ experience teaching Grade 9 Physical Science in Namibian schools revealed learners’ difficulty with making sense of chemical bonding. The Junior Secondary examiners’ reports in recent consecutive years (2014, 2015, 2016 & 2017) also revealed this challenge among Grade 10 learners (Namibia. Ministry of Education, Arts and Culture [MoEAC], 2017). The language of learning and teaching (LoLT) for most school subjects (including Physical Science) in Namibia is English, which is taken as a second language by most learners (Kisting, 2011). The results of the English Language Proficiency test written by all principals and teachers in Namibia show that most are not proficient in this language (Kisting, 2011). This has raised concern as to how teaching of content subjects may be undertaken effectively with English as the LoLT. In Namibia, chemical bonding is part of the chemistry section of Physical Science, taught as a sub-topic under the Matter section, where the nature, characteristics, and behaviour of three states of matter are explained. The difficulty students have with chemical bonding is identified as being due to complex chemical concepts (Chittleborough & Mamiala, 2006), and the specialised language of the topic these concepts involve (Gilbert & Treagust, 2009). Additionally, this difficulty may be ascribed to lack of suitable pedagogic approaches, which is linked to science teachers not being fluent in the LoLT. Despite this link, Johnstone (1982) posits that addressing the challenge of teaching and learning chemical knowledge requires teachers’ understanding of three levels of representation: macroscopic, sub-microscopic, and symbolic. Addressing this challenge may be accomplished by using multimodality in teaching, which is achievable via intersemiosis of different semiotic modes, drawing from Systemic Functional Linguistics. This is due to non-linguistic modes also having the potential to make meaning as language does, and the fact that language alone cannot fully enable effective meaning-making in discourses that are inherently multimodal, such as science. Some studies have suggested that the intersemiosis of visual and verbal semiotic modes has the potential to enable more meaning-making of scientific discourse than either of these two alone. The study reported on in this thesis has built on such previous studies in order to explore the influences of a visual-verbal intersemiotic complementarity teaching approach on Grade 9 Namibian learners’ sense-making of chemical bonding. No studies from Namibia exploring these influences on Grade 9 learners could be found. This revealed the knowledge gap that this study aimed to contribute to filling. I accomplished this goal by embarking on a two-cycle action research study. The first cycle followed a traditional teaching approach and assessment, whereas the second cycle, the intervention, included a visual-verbal intersemiotic complementarity teaching approach and assessment. I achieved visual-verbal intersemiotic complementarity teaching and assessment by coordinating spoken and written language with visuals in the form of diagrams and physical models. The critical paradigm was adopted to explore the influences of this pedagogic approach, with the underlying aim of exploring the intervention approach for bringing about a change in learners’ sense-making of chemical bonding, compared to traditional approaches that do not consider intersemiosis. This study is informed by Vygotsky’s (1978) social constructivism to account for learning as a product of social construction, and Halliday’s (1978) Systemic Functional Linguistics to account for the role played by semiotic modes in making meanings. This study involved collecting qualitative data that were accessed via document analysis, structured lesson observation, the teacher’s and learners’ reflective journals, and the pre- and post-test. Collecting these data was facilitated by a critical friend. The results reveal a positive influence of the visual-verbal intersemiotic complementarity teaching approach on Grade 9 Namibian learners’ sense-making of chemical bonding. This influence was realised in the noticeable shift from the learners’ discourse (use of talk and visuals) being perceptual (which is less scientific) to being idea-based (which is more scientific). Learners were also found to be self-motivated and keen to learn complex chemical bonding concepts after the intervention – another sign of their making sense of the topic. The implications of this study include that visual-verbal intersemiotic complementarity should be considered a pedagogic approach to chemical bonding by curriculum developers and reviewers, teacher training institutions, and science textbook authors. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-04
- Authors: Aikanga, Frans Paulus Shintaleleni
- Date: 2021-04
- Subjects: Physical sciences -- Study and teaching (Secondary) -- Namibia , Chemical bonds , Semiotics , Cognition in children , Communication in education , Language and education -- Namibia , Visual learning , Verbal learning
- Language: English
- Type: thesis , text , Masters , MEd
- Identifier: http://hdl.handle.net/10962/178281 , vital:42927
- Description: Anecdotal evidence from my 10 years’ experience teaching Grade 9 Physical Science in Namibian schools revealed learners’ difficulty with making sense of chemical bonding. The Junior Secondary examiners’ reports in recent consecutive years (2014, 2015, 2016 & 2017) also revealed this challenge among Grade 10 learners (Namibia. Ministry of Education, Arts and Culture [MoEAC], 2017). The language of learning and teaching (LoLT) for most school subjects (including Physical Science) in Namibia is English, which is taken as a second language by most learners (Kisting, 2011). The results of the English Language Proficiency test written by all principals and teachers in Namibia show that most are not proficient in this language (Kisting, 2011). This has raised concern as to how teaching of content subjects may be undertaken effectively with English as the LoLT. In Namibia, chemical bonding is part of the chemistry section of Physical Science, taught as a sub-topic under the Matter section, where the nature, characteristics, and behaviour of three states of matter are explained. The difficulty students have with chemical bonding is identified as being due to complex chemical concepts (Chittleborough & Mamiala, 2006), and the specialised language of the topic these concepts involve (Gilbert & Treagust, 2009). Additionally, this difficulty may be ascribed to lack of suitable pedagogic approaches, which is linked to science teachers not being fluent in the LoLT. Despite this link, Johnstone (1982) posits that addressing the challenge of teaching and learning chemical knowledge requires teachers’ understanding of three levels of representation: macroscopic, sub-microscopic, and symbolic. Addressing this challenge may be accomplished by using multimodality in teaching, which is achievable via intersemiosis of different semiotic modes, drawing from Systemic Functional Linguistics. This is due to non-linguistic modes also having the potential to make meaning as language does, and the fact that language alone cannot fully enable effective meaning-making in discourses that are inherently multimodal, such as science. Some studies have suggested that the intersemiosis of visual and verbal semiotic modes has the potential to enable more meaning-making of scientific discourse than either of these two alone. The study reported on in this thesis has built on such previous studies in order to explore the influences of a visual-verbal intersemiotic complementarity teaching approach on Grade 9 Namibian learners’ sense-making of chemical bonding. No studies from Namibia exploring these influences on Grade 9 learners could be found. This revealed the knowledge gap that this study aimed to contribute to filling. I accomplished this goal by embarking on a two-cycle action research study. The first cycle followed a traditional teaching approach and assessment, whereas the second cycle, the intervention, included a visual-verbal intersemiotic complementarity teaching approach and assessment. I achieved visual-verbal intersemiotic complementarity teaching and assessment by coordinating spoken and written language with visuals in the form of diagrams and physical models. The critical paradigm was adopted to explore the influences of this pedagogic approach, with the underlying aim of exploring the intervention approach for bringing about a change in learners’ sense-making of chemical bonding, compared to traditional approaches that do not consider intersemiosis. This study is informed by Vygotsky’s (1978) social constructivism to account for learning as a product of social construction, and Halliday’s (1978) Systemic Functional Linguistics to account for the role played by semiotic modes in making meanings. This study involved collecting qualitative data that were accessed via document analysis, structured lesson observation, the teacher’s and learners’ reflective journals, and the pre- and post-test. Collecting these data was facilitated by a critical friend. The results reveal a positive influence of the visual-verbal intersemiotic complementarity teaching approach on Grade 9 Namibian learners’ sense-making of chemical bonding. This influence was realised in the noticeable shift from the learners’ discourse (use of talk and visuals) being perceptual (which is less scientific) to being idea-based (which is more scientific). Learners were also found to be self-motivated and keen to learn complex chemical bonding concepts after the intervention – another sign of their making sense of the topic. The implications of this study include that visual-verbal intersemiotic complementarity should be considered a pedagogic approach to chemical bonding by curriculum developers and reviewers, teacher training institutions, and science textbook authors. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Date Issued: 2021-04
An analysis of the roles and functions of teachers’ gestures as visualisation tools in the teaching of mathematics at the junior primary phase (Grades 0 –3)
- Authors: Namakalu, Dietlinde Nelao
- Date: 2019
- Subjects: Gesture , Gesture in mathematics education , Visual learning , Visualization , Education, Elementary -- Namibia
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/96713 , vital:31311
- Description: There is ample evidence in the literature that gestures are important hand and bodily actions that play vital roles during interactions between learners and teachers in the mathematics classroom. These gestures enable both the teacher and the learner to visualise mathematical concepts and ideas. The aim of this Namibian interpretive case study, located in enactivist theory, was to analyse the types of gestures that three selected teachers at the junior primary phase (Grades 0–3) used in their teaching of mathematics. The study also interrogated the roles that these gestures played in the teaching process of the three teachers. As I intended to analyse the types of gestures the selected teachers used and understand their views and perceptions of the roles and functions their gestures played as visualisation tools in the teaching of mathematics, I observed ten lessons of each teacher and video recorded them. I then interviewed them (one-on-one stimulus-recall interviews) and interpreted the gestures they used and utterances they made about using these gestures. The types of gestures that the participating teachers used are classified according to McNeill‘s (1992) framework, namely pointing (deictic) gestures, iconic (illustrators) gestures, metaphoric gestures, beat (motor) gestures and symbolic (emblems) gestures. The study found that the participating teachers incorporated a variety of gestures into their lessons and used them strategically. According to the teachers, gestures made the lessons interesting and encouraged active participation of the learners in the lessons. The teachers also revealed that gestures assist in explaining mathematical concepts and thus affected the learners‘ understanding positively. This study strongly suggests that the usefulness and efficacy of employing gestures as visualisation tools in mathematics education should be strategically harnessed.
- Full Text:
- Date Issued: 2019
- Authors: Namakalu, Dietlinde Nelao
- Date: 2019
- Subjects: Gesture , Gesture in mathematics education , Visual learning , Visualization , Education, Elementary -- Namibia
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/96713 , vital:31311
- Description: There is ample evidence in the literature that gestures are important hand and bodily actions that play vital roles during interactions between learners and teachers in the mathematics classroom. These gestures enable both the teacher and the learner to visualise mathematical concepts and ideas. The aim of this Namibian interpretive case study, located in enactivist theory, was to analyse the types of gestures that three selected teachers at the junior primary phase (Grades 0–3) used in their teaching of mathematics. The study also interrogated the roles that these gestures played in the teaching process of the three teachers. As I intended to analyse the types of gestures the selected teachers used and understand their views and perceptions of the roles and functions their gestures played as visualisation tools in the teaching of mathematics, I observed ten lessons of each teacher and video recorded them. I then interviewed them (one-on-one stimulus-recall interviews) and interpreted the gestures they used and utterances they made about using these gestures. The types of gestures that the participating teachers used are classified according to McNeill‘s (1992) framework, namely pointing (deictic) gestures, iconic (illustrators) gestures, metaphoric gestures, beat (motor) gestures and symbolic (emblems) gestures. The study found that the participating teachers incorporated a variety of gestures into their lessons and used them strategically. According to the teachers, gestures made the lessons interesting and encouraged active participation of the learners in the lessons. The teachers also revealed that gestures assist in explaining mathematical concepts and thus affected the learners‘ understanding positively. This study strongly suggests that the usefulness and efficacy of employing gestures as visualisation tools in mathematics education should be strategically harnessed.
- Full Text:
- Date Issued: 2019
Exploring Intersemiotic Complementarity in three Namibian Physical Science teachers’ classroom practice
- Authors: Nakakuwa, Tomas
- Date: 2019
- Subjects: Semiotics , Communication in science , Communication in education , Physical sciences -- Study and teaching -- Namibia , Science -- Study and teaching -- Namibia , Language and education -- Namibia , Science teachers -- Training of -- Namibia , Visual learning , Verbal learning
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/96812 , vital:31324
- Description: The Namibian Science curriculum promotes learners’ development of self-confidence, self-knowledge and understanding of the world in which they live. The world we live in is increasingly multimodal, necessitating a multiliteracy in learners in order for them to engage meaningfully with knowledge and skills. Furthermore, scientists themselves engage in a range of inscription practices. While verbal language is the primary medium through which scientific knowledge and concepts are constructed, communicated, and learned, visuals can help learners to gain knowledge that they may not receive from verbal explanation alone. The verbal and visual semiotic modes can also function in a complementarity way, and this is significant in contexts where science lessons are for the most part in a second language - as is the case in Namibia where the language of learning and teaching (LoLT) of English is commonly not the learners’ mother tongue. However, no studies were found exploring the nature of verbal-visual intersemiotic complementarity in the practice of Namibian science teachers, or whether it was related to the number of years of science teaching experience. This study thus aimed to explore the dynamics of verbal-visual intersemiotic complementarity in the classroom practice of three Junior Secondary Physical Science teachers, with varying amounts of science teaching experience, in the Oshana region of Namibia. This qualitative case study, on the dynamics of verbal-visual intersemiotic complementarity in science teacher classroom practice follows in the path of earlier studies which employed Systemic Functional Linguistics (SFL) in the analysis of multimodal discourse. This thesis is also informed by Social Constructivism in which the various semiotic modes are recognised as components of the toolkit for mediating learning. The study adopted the interpretive paradigm. Data collection involved lesson observations and semi-structured interviews. Data analysis involved identification and coding of themes and categories inductively. The results reveal that the participant teachers employed the full range of intersemiotic sense relations which literature outlines. It was found that the ideational meanings in the verbal and visual modes of the science teachers’ practice are lexico-semantically related through these intersemiotic sense relations. While some teachers utilised some intersemiotic sense relations more often than others, there were no correspondences evident between the use of verbal-visual intersemiotic complementarity and the number of years of science teaching experience. The results also indicated that different intersemiotic sense relations served different purposes in the science classroom. The verbal-visual intersemiotic complementarity in the participant teachers’ practice tended to focus on: physical material, processes, symbolism or resemblance. This study has significant implications, providing an empirical basis for informing pre-service Physical Science teachers’ training and guiding the in-service training of Physical Science teachers in Namibia. Since its effective use may not be left up to teaching experience, Namibian Physical Science teacher training programmes need to include the use of verbal-visual intersemiotic complementarity in order to equip and empower Physical Science teachers.
- Full Text:
- Date Issued: 2019
- Authors: Nakakuwa, Tomas
- Date: 2019
- Subjects: Semiotics , Communication in science , Communication in education , Physical sciences -- Study and teaching -- Namibia , Science -- Study and teaching -- Namibia , Language and education -- Namibia , Science teachers -- Training of -- Namibia , Visual learning , Verbal learning
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/96812 , vital:31324
- Description: The Namibian Science curriculum promotes learners’ development of self-confidence, self-knowledge and understanding of the world in which they live. The world we live in is increasingly multimodal, necessitating a multiliteracy in learners in order for them to engage meaningfully with knowledge and skills. Furthermore, scientists themselves engage in a range of inscription practices. While verbal language is the primary medium through which scientific knowledge and concepts are constructed, communicated, and learned, visuals can help learners to gain knowledge that they may not receive from verbal explanation alone. The verbal and visual semiotic modes can also function in a complementarity way, and this is significant in contexts where science lessons are for the most part in a second language - as is the case in Namibia where the language of learning and teaching (LoLT) of English is commonly not the learners’ mother tongue. However, no studies were found exploring the nature of verbal-visual intersemiotic complementarity in the practice of Namibian science teachers, or whether it was related to the number of years of science teaching experience. This study thus aimed to explore the dynamics of verbal-visual intersemiotic complementarity in the classroom practice of three Junior Secondary Physical Science teachers, with varying amounts of science teaching experience, in the Oshana region of Namibia. This qualitative case study, on the dynamics of verbal-visual intersemiotic complementarity in science teacher classroom practice follows in the path of earlier studies which employed Systemic Functional Linguistics (SFL) in the analysis of multimodal discourse. This thesis is also informed by Social Constructivism in which the various semiotic modes are recognised as components of the toolkit for mediating learning. The study adopted the interpretive paradigm. Data collection involved lesson observations and semi-structured interviews. Data analysis involved identification and coding of themes and categories inductively. The results reveal that the participant teachers employed the full range of intersemiotic sense relations which literature outlines. It was found that the ideational meanings in the verbal and visual modes of the science teachers’ practice are lexico-semantically related through these intersemiotic sense relations. While some teachers utilised some intersemiotic sense relations more often than others, there were no correspondences evident between the use of verbal-visual intersemiotic complementarity and the number of years of science teaching experience. The results also indicated that different intersemiotic sense relations served different purposes in the science classroom. The verbal-visual intersemiotic complementarity in the participant teachers’ practice tended to focus on: physical material, processes, symbolism or resemblance. This study has significant implications, providing an empirical basis for informing pre-service Physical Science teachers’ training and guiding the in-service training of Physical Science teachers in Namibia. Since its effective use may not be left up to teaching experience, Namibian Physical Science teacher training programmes need to include the use of verbal-visual intersemiotic complementarity in order to equip and empower Physical Science teachers.
- Full Text:
- Date Issued: 2019
An investigation into teaching mathematics using a visualisation approach to recontextualise indigenous knowledge
- Authors: Tshithigona, Gaus
- Date: 2018
- Subjects: Ethnoscience Namibia , Mathematics Study and teaching (Elementary) Namibia , Visual learning , Visualization , Interdisciplinary approach to knowledge , Teacher effectiveness Namibia , Traditional ecological knowledge Namibia
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/62461 , vital:28195
- Description: It can be argued that the Namibian curriculum is largely influenced by a Western epistemology. However, many studies suggest that learners make powerful meanings of mathematical concepts they are learning if they visualise these and experience them in relation to what they already know from their own cultural backgrounds. According to the Namibian National Curriculum for Basic Education (NNCBE, 2010), it is not only important for learners to acquire mathematical knowledge and skills, but also to develop and grow their identities, cultures and values as individuals. The aim of this study was to explore and investigate how selected mathematics teachers employ visualisation as a teaching approach to re-contextualise indigenous knowledge (IK). The study set out to explore how conceptual understanding is enhanced by participation in an intervention programme. The use of visualisation is considered an important mediating and pedagogical tool in the mathematics classroom to enhance the mathematics learning of learners. The research is informed by a socio-cultural theory of learning and is located within an interpretive paradigm. The study was conducted at four schools in the Oshana region of Namibia and involved four mathematics teachers who were purposefully selected due to their willingness to use visualisation-IK approaches in their teaching, based on their responses to the survey. The methodologies used are qualitative and quantitative case study. To gather data, document analysis, a survey, lesson observations and focus group interviews were used. The study found that most teachers in the Oshana region have an understanding of the effective use of visualisation-IK approaches. However, the study revealed that visualisation- IK approaches are mostly used in grades 4 to 7 mathematics classrooms. It also discovered that most of the visualisation approaches that teachers employed aligned well with the curriculum and promoted conceptual understanding in the teaching of mathematics. The results of the study showed that teachers have experience of the enabling and constraining factors in using a visualisation-IK approach to teaching mathematics.
- Full Text:
- Date Issued: 2018
- Authors: Tshithigona, Gaus
- Date: 2018
- Subjects: Ethnoscience Namibia , Mathematics Study and teaching (Elementary) Namibia , Visual learning , Visualization , Interdisciplinary approach to knowledge , Teacher effectiveness Namibia , Traditional ecological knowledge Namibia
- Language: English
- Type: text , Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10962/62461 , vital:28195
- Description: It can be argued that the Namibian curriculum is largely influenced by a Western epistemology. However, many studies suggest that learners make powerful meanings of mathematical concepts they are learning if they visualise these and experience them in relation to what they already know from their own cultural backgrounds. According to the Namibian National Curriculum for Basic Education (NNCBE, 2010), it is not only important for learners to acquire mathematical knowledge and skills, but also to develop and grow their identities, cultures and values as individuals. The aim of this study was to explore and investigate how selected mathematics teachers employ visualisation as a teaching approach to re-contextualise indigenous knowledge (IK). The study set out to explore how conceptual understanding is enhanced by participation in an intervention programme. The use of visualisation is considered an important mediating and pedagogical tool in the mathematics classroom to enhance the mathematics learning of learners. The research is informed by a socio-cultural theory of learning and is located within an interpretive paradigm. The study was conducted at four schools in the Oshana region of Namibia and involved four mathematics teachers who were purposefully selected due to their willingness to use visualisation-IK approaches in their teaching, based on their responses to the survey. The methodologies used are qualitative and quantitative case study. To gather data, document analysis, a survey, lesson observations and focus group interviews were used. The study found that most teachers in the Oshana region have an understanding of the effective use of visualisation-IK approaches. However, the study revealed that visualisation- IK approaches are mostly used in grades 4 to 7 mathematics classrooms. It also discovered that most of the visualisation approaches that teachers employed aligned well with the curriculum and promoted conceptual understanding in the teaching of mathematics. The results of the study showed that teachers have experience of the enabling and constraining factors in using a visualisation-IK approach to teaching mathematics.
- Full Text:
- Date Issued: 2018
Case study : using visual representations to enhance conceptual knowledge of division in mathematics
- Authors: Joel, Linea Beautty
- Date: 2013
- Subjects: Mathematics -- Study and teaching , Visual learning , Division -- Study and teaching
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1992 , http://hdl.handle.net/10962/d1013356
- Description: Literature emphasizes how important it is that procedural and conceptual knowledge of mathematics should be learned in integration. Yet, generally, the learning and teaching in mathematics classrooms relies heavily on isolated procedures. This study aims to improve teaching and learning of partitive and quotitive division, moving away from isolated procedural knowledge to that of procedures with their underlying concepts through the use of manipulatives, visual representation and questioning. Learning and teaching lessons were designed to teach partitive and quotitive division both procedurally and conceptually. The study explored the roles these manipulatives, visual representations and questioning played toward the conceptual learning of partitive and quotitive division. It was found that manipulatives and iconic visualization enhanced learning, and this could be achieved through scaffolding using a questioning approach. It was concluded that manipulatives and iconic visualization need to be properly planned and used, and integrated with questioning to achieve success in the learning of procedural and conceptual knowledge.
- Full Text:
- Date Issued: 2013
Case study : using visual representations to enhance conceptual knowledge of division in mathematics
- Authors: Joel, Linea Beautty
- Date: 2013
- Subjects: Mathematics -- Study and teaching , Visual learning , Division -- Study and teaching
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1992 , http://hdl.handle.net/10962/d1013356
- Description: Literature emphasizes how important it is that procedural and conceptual knowledge of mathematics should be learned in integration. Yet, generally, the learning and teaching in mathematics classrooms relies heavily on isolated procedures. This study aims to improve teaching and learning of partitive and quotitive division, moving away from isolated procedural knowledge to that of procedures with their underlying concepts through the use of manipulatives, visual representation and questioning. Learning and teaching lessons were designed to teach partitive and quotitive division both procedurally and conceptually. The study explored the roles these manipulatives, visual representations and questioning played toward the conceptual learning of partitive and quotitive division. It was found that manipulatives and iconic visualization enhanced learning, and this could be achieved through scaffolding using a questioning approach. It was concluded that manipulatives and iconic visualization need to be properly planned and used, and integrated with questioning to achieve success in the learning of procedural and conceptual knowledge.
- Full Text:
- Date Issued: 2013
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