Exploring how visual models can be used in teaching mathematics for growing a productive disposition in Grade 9 learners
- Shetunyenga, Fillipus Shetunyenga
- Authors: Shetunyenga, Fillipus Shetunyenga
- Date: 2024-10-11
- Subjects: Visual learning , Mathematics Study and teaching (Secondary) Namibia , High school students Attitudes , Visualization , Constructivism (Education)
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/463625 , vital:76426
- Description: The Namibian Curriculum for Basic Education states clearly that Indigenous Knowledge (IK) should be integrated into science teaching. However, the irony is that it does not give clear pedagogical guidelines on how it should be integrated. The implication is that the curriculum assumes that all teachers are aware of how to integrate IK into their teaching. This assumption has therefore led to little or no integration of IK in many classrooms in Namibia, something which could be in part a contributing factor to poor learners’ academic performance in science subjects and Agricultural Science in particular. This tension in the curriculum plus the apparent gap in the literature regarding the integration of IK has triggered my interest to conduct this interventionist qualitative case study. Essentially, this study aimed to explore affordances and/or hindrances when using the indigenous technology of organic crop farming to mediate learning in Grade 12 Agricultural Science classes in peri-urban schools in the Oshana region in Namibia. The study was underpinned by the interpretivist and Ubuntu paradigms. Vygotsky’s (1978) socio-cultural theory and Shulman’s (1986) pedagogical content knowledge (PCK) framework were used as lenses to analyse my data. Within PCK, I also used Mavhunga and Rollnick’s (2013) Topic-Specific PCK as an analytical framework. The findings of the study revealed that the integration of Indigenous knowledge in Agricultural Science education has great potential in improving both the teaching and learnng of science. It also revealed that the Agricultural Science teachers were positive towards the integration of IK in their lessons. However, they conceded that they lacked pedagogical insights on how to integrate IK as they were never trained on how to integrate it. As a result, they found the presentations by the Indigenous Knowledge Custodians (IKCs) informative and shed light on how they could integrate IK during teaching and learning. That is, they became cultural knowledge brokers making science relevant and accessible to their learners. The study thus recommends that teacher training institutions should modify the curriculum to include a pedagogy course module on IK to equip students with the essential PCK on IK integration in science teaching. , Thesis (MEd) -- Faculty of Education, Secondary and Post-School Education, 2024
- Full Text:
- Authors: Shetunyenga, Fillipus Shetunyenga
- Date: 2024-10-11
- Subjects: Visual learning , Mathematics Study and teaching (Secondary) Namibia , High school students Attitudes , Visualization , Constructivism (Education)
- Language: English
- Type: Academic theses , Master's theses , text
- Identifier: http://hdl.handle.net/10962/463625 , vital:76426
- Description: The Namibian Curriculum for Basic Education states clearly that Indigenous Knowledge (IK) should be integrated into science teaching. However, the irony is that it does not give clear pedagogical guidelines on how it should be integrated. The implication is that the curriculum assumes that all teachers are aware of how to integrate IK into their teaching. This assumption has therefore led to little or no integration of IK in many classrooms in Namibia, something which could be in part a contributing factor to poor learners’ academic performance in science subjects and Agricultural Science in particular. This tension in the curriculum plus the apparent gap in the literature regarding the integration of IK has triggered my interest to conduct this interventionist qualitative case study. Essentially, this study aimed to explore affordances and/or hindrances when using the indigenous technology of organic crop farming to mediate learning in Grade 12 Agricultural Science classes in peri-urban schools in the Oshana region in Namibia. The study was underpinned by the interpretivist and Ubuntu paradigms. Vygotsky’s (1978) socio-cultural theory and Shulman’s (1986) pedagogical content knowledge (PCK) framework were used as lenses to analyse my data. Within PCK, I also used Mavhunga and Rollnick’s (2013) Topic-Specific PCK as an analytical framework. The findings of the study revealed that the integration of Indigenous knowledge in Agricultural Science education has great potential in improving both the teaching and learnng of science. It also revealed that the Agricultural Science teachers were positive towards the integration of IK in their lessons. However, they conceded that they lacked pedagogical insights on how to integrate IK as they were never trained on how to integrate it. As a result, they found the presentations by the Indigenous Knowledge Custodians (IKCs) informative and shed light on how they could integrate IK during teaching and learning. That is, they became cultural knowledge brokers making science relevant and accessible to their learners. The study thus recommends that teacher training institutions should modify the curriculum to include a pedagogy course module on IK to equip students with the essential PCK on IK integration in science teaching. , Thesis (MEd) -- Faculty of Education, Secondary and Post-School Education, 2024
- Full Text:
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:
- 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
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Exploring visual probability teaching strategies for enhancing mathematical thinking in grade 11 classrooms
- Nghidinwa, Lavinia Tangi-Jehova
- Authors: Nghidinwa, Lavinia Tangi-Jehova
- Date: 2021-10-29
- Subjects: Mathematics Study and teaching (Secondary) Namibia , Probabilities , Visualization , Learning models (Stochastic processes) , VIPROMaths project
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/192002 , vital:45187
- Description: This Namibian case study aimed to explore the use of visualisation tools associated with different teaching strategies in the teaching of probability concepts in Grade 11 by selected teachers, to promote mathematical thinking. This research project is an integral component of the VIPROMaths project whose goal is to research the effective use of visualisation strategies in the mathematics classroom in the Southern African region. As a mathematics teacher, I have observed that mathematics teaching practices in our classrooms have relatively little connection with actual mathematics and as a result, teaching misses opportunities to promote mathematical thinking. This qualitative case study is underpinned by an interpretive paradigm and it is informed by the dual coding theory. Data was collected through survey questionnaires, reflective journals, field notes, observation schedules and stimulus-recall interviews. Firstly, I piloted my study by conducting a survey with the Grade 10-12 mathematics teachers in the Khomas region. The aim of this survey was to understand and explore how teachers in the Khomas region taught probability prior to the intervention programme. The data was analysed quantitatively using descriptive statistics such as tables and bar graphs. The findings from the survey necessitated the need for an intervention programme with some teachers in the region, focused on the use of visual tools to promote mathematical thinking. Lastly, three schools were selected from which three Grade 11 mathematics teachers were chosen to take part in an intervention programme. The goal was to observe how these three teachers use visual probability teaching strategies to enhance mathematical thinking after participating in an intervention programme. Lesson observations showed that all observed teachers used visual models to generate images and used models to develop a probability idea as well as to create platforms for classroom discussions. Interviews revealed that teachers’ views towards probability have shifted from that of being the centre of knowledge to that of a facilitator. As a result, teachers used different models to build on learners’ prior knowledge, to assess whether they grasped the probability concept and extend their teaching to real-life situations. This study concluded that the teachers need to consider using mathematical models for creating a platform for discussion to ensure that their verbal explanations are in line with the visuals incorporated. Coupled with that, the teachers’ correct use of visual probability teaching strategies has the potential of enhancing learners’ mathematical thinking. Therefore, teachers need to teach the learners how to create visuals for enhancing maximise understanding of probability concepts in mathematics. Furthermore, it is hoped that the findings will be useful to mathematics teachers, scholars and educators to improve the teaching of probability. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
- Authors: Nghidinwa, Lavinia Tangi-Jehova
- Date: 2021-10-29
- Subjects: Mathematics Study and teaching (Secondary) Namibia , Probabilities , Visualization , Learning models (Stochastic processes) , VIPROMaths project
- Language: English
- Type: Master's theses , text
- Identifier: http://hdl.handle.net/10962/192002 , vital:45187
- Description: This Namibian case study aimed to explore the use of visualisation tools associated with different teaching strategies in the teaching of probability concepts in Grade 11 by selected teachers, to promote mathematical thinking. This research project is an integral component of the VIPROMaths project whose goal is to research the effective use of visualisation strategies in the mathematics classroom in the Southern African region. As a mathematics teacher, I have observed that mathematics teaching practices in our classrooms have relatively little connection with actual mathematics and as a result, teaching misses opportunities to promote mathematical thinking. This qualitative case study is underpinned by an interpretive paradigm and it is informed by the dual coding theory. Data was collected through survey questionnaires, reflective journals, field notes, observation schedules and stimulus-recall interviews. Firstly, I piloted my study by conducting a survey with the Grade 10-12 mathematics teachers in the Khomas region. The aim of this survey was to understand and explore how teachers in the Khomas region taught probability prior to the intervention programme. The data was analysed quantitatively using descriptive statistics such as tables and bar graphs. The findings from the survey necessitated the need for an intervention programme with some teachers in the region, focused on the use of visual tools to promote mathematical thinking. Lastly, three schools were selected from which three Grade 11 mathematics teachers were chosen to take part in an intervention programme. The goal was to observe how these three teachers use visual probability teaching strategies to enhance mathematical thinking after participating in an intervention programme. Lesson observations showed that all observed teachers used visual models to generate images and used models to develop a probability idea as well as to create platforms for classroom discussions. Interviews revealed that teachers’ views towards probability have shifted from that of being the centre of knowledge to that of a facilitator. As a result, teachers used different models to build on learners’ prior knowledge, to assess whether they grasped the probability concept and extend their teaching to real-life situations. This study concluded that the teachers need to consider using mathematical models for creating a platform for discussion to ensure that their verbal explanations are in line with the visuals incorporated. Coupled with that, the teachers’ correct use of visual probability teaching strategies has the potential of enhancing learners’ mathematical thinking. Therefore, teachers need to teach the learners how to create visuals for enhancing maximise understanding of probability concepts in mathematics. Furthermore, it is hoped that the findings will be useful to mathematics teachers, scholars and educators to improve the teaching of probability. , Thesis (MEd) -- Faculty of Education, Education, 2021
- Full Text:
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