The use of dynamic software to potentially enhance conceptual understanding and a productive disposition in the visual learning of algebra: an interventionist case study
- Authors: Junius, Daniel Franscius
- Date: 2023-10-13
- Subjects: Mathematics education , Algebra Study and teaching (Secondary) Namibia , Educational technology , Visual learning , GeoGebra , High school students Attitudes
- Language: English
- Type: Academic theses , Doctoral theses , text
- Identifier: http://hdl.handle.net/10962/431542 , vital:72784 , DOI 10.21504/10962/431542
- Description: Over the decades, the didactics and practice of teaching mathematics has offered many unique challenges and opportunities for exploration and understanding. The introduction and development of technology into mathematics is one of the occurrences which has also contributed to a new discourse in teaching mathematics – in this case the teaching of algebra. Algebra is still seen as a gatekeeper and remains as one of the key reasons for a negative disposition amongst learners towards learning the subject. Across the globe psychologists, philosophers and educators continue to engage in debates and research projects in search of answers and solutions for the improvement of algebra teaching and an improvement in dispositions towards learning algebra. This thesis reports on a research project that focused on the use of dynamic software to enhance the conceptual understanding and productive dispositions of selected learners through the visual learning of abstract algebraic concepts. The research was executed as an interventionist case study. A case study methodological strategy was adopted with two groups of 30 Grade 9 learners. One group was a Grade 9 mathematics class of a school in Windhoek who scored above average in algebra but showed a very low disposition score, while the other group was made up of learners from a community project who scored high on the disposition scale but achieved below average results in algebra. The analytical framework of the case study is structured around a combination of complementary algebraic topics presented through visual learning, with GeoGebra as a medium of instruction. With the focus on visualisation and the use of technology the study investigated and attempted to understand how participants processed and internalised algebraic concepts to make sense of abstract algebraic concepts and eventually gain sustained conceptual understanding. The study was framed by the theoretical theories of constructivism and the Dual Coding Theory. For the collection of data, a mixed methods approach was adopted following three cycles. Three algebraic topics were taught with GeoGebra applets yielding both qualitative and quantitative data, through the observation of participants, screen captures and reflective interviews, using instruments designed specifically for the study and collecting quantitative achievement test results. The study, a journey that both the participants and the researcher embarked upon, revealed that the use of technology enhanced conceptual understanding for both groups and both groups showed a positive change in disposition towards learning algebra. The intervention with GeoGebra consistently and progressively improved in terms of conceptual understanding and dispositions towards learning algebra significant improvements in results were achieved. The findings showed that this approach to teaching algebra yielded positive results and gave new insights into visual teaching with technology. New opportunities for further research were created. , Thesis (PhD) -- Faculty of Education, Secondary and Post-School Education, 2023
- Full Text:
- Date Issued: 2023-10-13
- Authors: Junius, Daniel Franscius
- Date: 2023-10-13
- Subjects: Mathematics education , Algebra Study and teaching (Secondary) Namibia , Educational technology , Visual learning , GeoGebra , High school students Attitudes
- Language: English
- Type: Academic theses , Doctoral theses , text
- Identifier: http://hdl.handle.net/10962/431542 , vital:72784 , DOI 10.21504/10962/431542
- Description: Over the decades, the didactics and practice of teaching mathematics has offered many unique challenges and opportunities for exploration and understanding. The introduction and development of technology into mathematics is one of the occurrences which has also contributed to a new discourse in teaching mathematics – in this case the teaching of algebra. Algebra is still seen as a gatekeeper and remains as one of the key reasons for a negative disposition amongst learners towards learning the subject. Across the globe psychologists, philosophers and educators continue to engage in debates and research projects in search of answers and solutions for the improvement of algebra teaching and an improvement in dispositions towards learning algebra. This thesis reports on a research project that focused on the use of dynamic software to enhance the conceptual understanding and productive dispositions of selected learners through the visual learning of abstract algebraic concepts. The research was executed as an interventionist case study. A case study methodological strategy was adopted with two groups of 30 Grade 9 learners. One group was a Grade 9 mathematics class of a school in Windhoek who scored above average in algebra but showed a very low disposition score, while the other group was made up of learners from a community project who scored high on the disposition scale but achieved below average results in algebra. The analytical framework of the case study is structured around a combination of complementary algebraic topics presented through visual learning, with GeoGebra as a medium of instruction. With the focus on visualisation and the use of technology the study investigated and attempted to understand how participants processed and internalised algebraic concepts to make sense of abstract algebraic concepts and eventually gain sustained conceptual understanding. The study was framed by the theoretical theories of constructivism and the Dual Coding Theory. For the collection of data, a mixed methods approach was adopted following three cycles. Three algebraic topics were taught with GeoGebra applets yielding both qualitative and quantitative data, through the observation of participants, screen captures and reflective interviews, using instruments designed specifically for the study and collecting quantitative achievement test results. The study, a journey that both the participants and the researcher embarked upon, revealed that the use of technology enhanced conceptual understanding for both groups and both groups showed a positive change in disposition towards learning algebra. The intervention with GeoGebra consistently and progressively improved in terms of conceptual understanding and dispositions towards learning algebra significant improvements in results were achieved. The findings showed that this approach to teaching algebra yielded positive results and gave new insights into visual teaching with technology. New opportunities for further research were created. , Thesis (PhD) -- Faculty of Education, Secondary and Post-School Education, 2023
- Full Text:
- Date Issued: 2023-10-13
Pedagogic videos as a foreign language learning resource in textbooks used in the German studies section of a South African university: A digital multimodal discourse perspective
- Authors: Schafli, Sasha-Lee
- Date: 2021-04
- Subjects: Language and languages Study and teaching Audio-visual aids , Educational technology , Media programs (Education) , German language Study and teaching Foreign speakers Audio-visual aids , Visual learning , Rhodes University , German language Discourse analysis , Digital multimodal discourse analysis
- Language: English
- Type: Masters theses , text
- Identifier: http://hdl.handle.net/10962/177087 , vital:42789 , http://doi.org/10.21504/10962/113934
- Description: Video is a prominent teaching and learning tool within foreign language (FL) textbook media packages in the 21st century. While studies undertaken in the Global North highlight that video materials in the FL classroom have the potential to influence learning and cultural knowledge acquisition, there is a lack of research on the manner in which pedagogically designed videos influence adult FL learning and cultural knowledge acquisition in a South African context. In this study, I explore the opportunities and challenges in terms of language learning and cultural knowledge acquisition that arise from three pedagogic videos in the Menschen A1 textbook which is used in teaching students registered for the German Studies 1 course at Rhodes University. I compare and contrast two sets of data to examine the relationship between pedagogic video and student knowledge acquisition: the results of a digital multimodal discourse analysis (DMDA) of these videos, and questionnaires and transcriptions collected from semi-structured group interviews with German Studies 1 students. These questionnaires and transcriptions were analysed thematically. Findings in terms of the language learning experience indicate that actor over-exaggeration and visual aids assist students when learning German at this level with this type of video. However, these visual aids can be distracting and confusing without balanced representation and contextual information. Differences between videos in terms of speech rate seem to affect students’ perceptions of their ability to comprehend the videos. Students reported forming only positive impressions of German culture(s) on the basis of the videos. In general, students find Germans portrayed as friendly and helpful in the videos. The results of this investigation provide recommendations for the optimal use of this type of teaching and learning resource, for example, teachers/ lecturers/ facilitators should allow for focus group discussions on cultural discourse to occur in order to balance stereotype formation and should consider the speech rate of videos for language learning. , Thesis (MA) -- Faculty of Humanities, Linguistics and Applied Language Studies, 2021
- Full Text:
- Date Issued: 2021-04
- Authors: Schafli, Sasha-Lee
- Date: 2021-04
- Subjects: Language and languages Study and teaching Audio-visual aids , Educational technology , Media programs (Education) , German language Study and teaching Foreign speakers Audio-visual aids , Visual learning , Rhodes University , German language Discourse analysis , Digital multimodal discourse analysis
- Language: English
- Type: Masters theses , text
- Identifier: http://hdl.handle.net/10962/177087 , vital:42789 , http://doi.org/10.21504/10962/113934
- Description: Video is a prominent teaching and learning tool within foreign language (FL) textbook media packages in the 21st century. While studies undertaken in the Global North highlight that video materials in the FL classroom have the potential to influence learning and cultural knowledge acquisition, there is a lack of research on the manner in which pedagogically designed videos influence adult FL learning and cultural knowledge acquisition in a South African context. In this study, I explore the opportunities and challenges in terms of language learning and cultural knowledge acquisition that arise from three pedagogic videos in the Menschen A1 textbook which is used in teaching students registered for the German Studies 1 course at Rhodes University. I compare and contrast two sets of data to examine the relationship between pedagogic video and student knowledge acquisition: the results of a digital multimodal discourse analysis (DMDA) of these videos, and questionnaires and transcriptions collected from semi-structured group interviews with German Studies 1 students. These questionnaires and transcriptions were analysed thematically. Findings in terms of the language learning experience indicate that actor over-exaggeration and visual aids assist students when learning German at this level with this type of video. However, these visual aids can be distracting and confusing without balanced representation and contextual information. Differences between videos in terms of speech rate seem to affect students’ perceptions of their ability to comprehend the videos. Students reported forming only positive impressions of German culture(s) on the basis of the videos. In general, students find Germans portrayed as friendly and helpful in the videos. The results of this investigation provide recommendations for the optimal use of this type of teaching and learning resource, for example, teachers/ lecturers/ facilitators should allow for focus group discussions on cultural discourse to occur in order to balance stereotype formation and should consider the speech rate of videos for language learning. , Thesis (MA) -- Faculty of Humanities, Linguistics and Applied Language Studies, 2021
- Full Text:
- Date Issued: 2021-04
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