Exploring National Certificate Vocational (NCV) level two learners’ misconceptions in algebraic functions through integrating GeoGebra during teaching and learning
- Authors: Ngwabe, Abongile
- Date: 2018
- Subjects: Mathematics -- Study and teaching -- South Africa , Algebraic functions -- Study and teaching , Algebraic fields , Mathematical analysis -- Data processing
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10948/33671 , vital:32963
- Description: This study focuses on exploring NCV level two learners’ misconceptions in algebraic functions through integrating GeoGebra Dynamic Software during teaching and learning. The research investigates how the integration of GeoGebra during teaching and learning algebraic functions influenced learners’ misconceptions in algebraic functions. Vygotsky’s sociocultural view of learning underpinned the process of teaching and learning during the study. The research was carried out at the TVET College in Port Elizabeth. The data was collected by means of pre-test and post-test, focus group interviews, GeoGebra intervention and observations. Created GeoGebra applets and a worksheet was used during the integration process. The data collected was analyzed and used to answer the research questions of this study. Research findings showed that the integration of GeoGebra during teaching and learning enhanced learners’ conceptual understanding in algebraic functions. There was a significance increase in the number of learners who showed ability to interpret algebraic functions based concepts after the engagement with GeoGebra applets.
- Full Text:
- Date Issued: 2018
- Authors: Ngwabe, Abongile
- Date: 2018
- Subjects: Mathematics -- Study and teaching -- South Africa , Algebraic functions -- Study and teaching , Algebraic fields , Mathematical analysis -- Data processing
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10948/33671 , vital:32963
- Description: This study focuses on exploring NCV level two learners’ misconceptions in algebraic functions through integrating GeoGebra Dynamic Software during teaching and learning. The research investigates how the integration of GeoGebra during teaching and learning algebraic functions influenced learners’ misconceptions in algebraic functions. Vygotsky’s sociocultural view of learning underpinned the process of teaching and learning during the study. The research was carried out at the TVET College in Port Elizabeth. The data was collected by means of pre-test and post-test, focus group interviews, GeoGebra intervention and observations. Created GeoGebra applets and a worksheet was used during the integration process. The data collected was analyzed and used to answer the research questions of this study. Research findings showed that the integration of GeoGebra during teaching and learning enhanced learners’ conceptual understanding in algebraic functions. There was a significance increase in the number of learners who showed ability to interpret algebraic functions based concepts after the engagement with GeoGebra applets.
- Full Text:
- Date Issued: 2018
Integrating information and communications technology (ICT) into teaching and learning: the case of mathematics, science and technology education in one higher education institution
- Authors: Addam, Billey Bright Kwadwo
- Date: 2014
- Subjects: Educational teaching -- South Africa , Computer-assisted instruction -- South Africa , Mathematics -- Study and teaching -- South Africa , Science -- Study and teaching -- South Africa
- Language: English
- Type: Thesis , Doctoral , PhD (Education)
- Identifier: vital:16224 , http://hdl.handle.net/10353/d1019736 , Educational teaching -- South Africa , Computer-assisted instruction -- South Africa , Mathematics -- Study and teaching -- South Africa , Science -- Study and teaching -- South Africa
- Description: This study explores the integration of Information and Communication Technologies (ICT) into teaching and learning within one Higher Education institution. The main question driving the study was: How is ICT integrated in the teaching and learning of mathematics, science and technology education (MSTE) in a Bachelor of Education programme? This is a case study of lecturers and students in Mathematics, Science and Technology Education. It makes use of questionnaires, interviews, field notes and document analyses to collect data. MSTE lecturers and students were assumed to be well versed in ICT usage and, therefore, well placed to assess its integration into teaching and learning. There were five main findings: First, that Mathematics, Science and Technology Education lecturers showed some ambivalence in their ontological and epistemological orientation to using ICT. Some leaned towards the instruction paradigm and used ICT as a tool for the transmission of knowledge; others leaned towards the learning paradigm, showing an awareness of the need to elicit discovery through ICT. Secondly, that lecturers’ understanding of ICT integration was oriented towards teaching and learning from technologies rather than with technologies. Thirdly, that processes of ‘pedagogical evolution’ were taking place, in terms of which there was a gradual but perceptible shift in the teaching and learning practice of both students and lecturers. Fourthly, there was no evidence to show that lecturers used ICT to promote innovative and creative teaching; in fact, students appeared to be more creative in using ICT resources, than lecturers. Fifthly, and finally, lecturers did not assign ICT-based tasks that promote conceptual understanding. They assigned tasks that asked students to extract and reproduce information from computers, without demonstrating understanding. When used in this way, ICT can, in fact, be de-skilling. From these findings, it can be concluded that ICT integration cannot be understood without exploring the ontological and epistemological orientations, as well as the theoretical orientations, at play in the teaching and learning situation. It is on the basis of these that people, that is, lecturers and students, make use of, ICTs to achieve desired goals. It is therefore recommended that, for the improvement of integration, there should be a greater emphasis on developing and sharing pedagogical expertise concerning ICT use in teaching and learning. It is recommended that a country-wide research survey should be undertaken, based on probability sampling and focussing on pedagogical issues in ICT integration in teaching and learning.
- Full Text:
- Date Issued: 2014
- Authors: Addam, Billey Bright Kwadwo
- Date: 2014
- Subjects: Educational teaching -- South Africa , Computer-assisted instruction -- South Africa , Mathematics -- Study and teaching -- South Africa , Science -- Study and teaching -- South Africa
- Language: English
- Type: Thesis , Doctoral , PhD (Education)
- Identifier: vital:16224 , http://hdl.handle.net/10353/d1019736 , Educational teaching -- South Africa , Computer-assisted instruction -- South Africa , Mathematics -- Study and teaching -- South Africa , Science -- Study and teaching -- South Africa
- Description: This study explores the integration of Information and Communication Technologies (ICT) into teaching and learning within one Higher Education institution. The main question driving the study was: How is ICT integrated in the teaching and learning of mathematics, science and technology education (MSTE) in a Bachelor of Education programme? This is a case study of lecturers and students in Mathematics, Science and Technology Education. It makes use of questionnaires, interviews, field notes and document analyses to collect data. MSTE lecturers and students were assumed to be well versed in ICT usage and, therefore, well placed to assess its integration into teaching and learning. There were five main findings: First, that Mathematics, Science and Technology Education lecturers showed some ambivalence in their ontological and epistemological orientation to using ICT. Some leaned towards the instruction paradigm and used ICT as a tool for the transmission of knowledge; others leaned towards the learning paradigm, showing an awareness of the need to elicit discovery through ICT. Secondly, that lecturers’ understanding of ICT integration was oriented towards teaching and learning from technologies rather than with technologies. Thirdly, that processes of ‘pedagogical evolution’ were taking place, in terms of which there was a gradual but perceptible shift in the teaching and learning practice of both students and lecturers. Fourthly, there was no evidence to show that lecturers used ICT to promote innovative and creative teaching; in fact, students appeared to be more creative in using ICT resources, than lecturers. Fifthly, and finally, lecturers did not assign ICT-based tasks that promote conceptual understanding. They assigned tasks that asked students to extract and reproduce information from computers, without demonstrating understanding. When used in this way, ICT can, in fact, be de-skilling. From these findings, it can be concluded that ICT integration cannot be understood without exploring the ontological and epistemological orientations, as well as the theoretical orientations, at play in the teaching and learning situation. It is on the basis of these that people, that is, lecturers and students, make use of, ICTs to achieve desired goals. It is therefore recommended that, for the improvement of integration, there should be a greater emphasis on developing and sharing pedagogical expertise concerning ICT use in teaching and learning. It is recommended that a country-wide research survey should be undertaken, based on probability sampling and focussing on pedagogical issues in ICT integration in teaching and learning.
- Full Text:
- Date Issued: 2014
Learner perceptions on feedback received on performance tasks in mathematics in selected schools from the East London district in the Eastern Cape
- Authors: Ngudle, N G
- Date: 2014
- Subjects: Mathematics -- Study and teaching -- South Africa , Effective teaching , Teacher effectiveness
- Language: English
- Type: Thesis , Masters , M Ed
- Identifier: vital:16213 , http://hdl.handle.net/10353/d1016499 , Mathematics -- Study and teaching -- South Africa , Effective teaching , Teacher effectiveness
- Description: Feedback has an important role to play in the performance of learners. This study looks to identify the challenges that the learners are faced with when the teachers provide them with feedback and the ways they would like like it to be used in order to see feedback assisting them in their learning and improve their performance. Feedback contributes a lot to assessment and has a close link with performance. The study used the qualitative approach to identify the challenges the learners experience when they receive the feedback from their teachers. The participants were sampled from grade 12 learners in the form of a focus group (seven to ten per school) and individual respondents. The method used semi-structured interviews and portfolio observations to collect the data from two high schools in East London (EL) district to look at the nature of the feedback provided to learners. The data was later analysed and interpreted. It has been identified that for both schools feedback conveyed certain messages to learners such motivation to do better, a need to do better and, lastly, affirmation that the learners are on the right track or they are neglected and left to figure out how to do the tasks. The study discovered that, according to Hattie and Timperley (2007)’ there are four levels of feedback. It was found that for the task level learners from school A mainly received oral feedback which was often seen as denigrating them; however, in school B learners received both the oral and written feedback. They felt that the feedback assisted them to understand the task at hand. They also saw this as a way of building up their confidence in all the tasks they come across. Secondly, in the process level, learners in school A did not report receiving feedback at this level but only oral feedback which does not show their mistakes step by step in the task, yet in school B they reported that they got feedback from their teacher individually to help them understand the task. Thirdly, for the self regulation level, in school A there was no data to confirm this. Regarding school B, learners were being assisted by the feedback they received from their teacher and this caused them to monitor their progress. The fourth and last level is the self or personal evaluation where in school A learners were not able to evaluate themselves because they did not receive written feedback, whereas in school B learners could do that freely referring to the written comments from their teacher. The research therefore concluded that in one of the schools the four levels that the study was looking at were not all addressed and thus no meaningful feedback was given. For school B the teacher gave them the feedback which has contributed a lot in their learning. The study recommends that feedback should not be used for right or wrong answers but it must also state clearly why the learner has obtained such mark or grade and what to do to correct the wrongs. Teachers should consider that learner errors also assist them to have a broader picture on what more they need to do in their subjects. It is also recommended that teachers should consider various strategies in giving feedback and the learners’ work has to be monitored timeously for the purpose of the learning process. Lastly, a good approach when feedback is provided is also important because it builds high self-esteem and develops the teacher-learner approach accordingly.
- Full Text:
- Date Issued: 2014
- Authors: Ngudle, N G
- Date: 2014
- Subjects: Mathematics -- Study and teaching -- South Africa , Effective teaching , Teacher effectiveness
- Language: English
- Type: Thesis , Masters , M Ed
- Identifier: vital:16213 , http://hdl.handle.net/10353/d1016499 , Mathematics -- Study and teaching -- South Africa , Effective teaching , Teacher effectiveness
- Description: Feedback has an important role to play in the performance of learners. This study looks to identify the challenges that the learners are faced with when the teachers provide them with feedback and the ways they would like like it to be used in order to see feedback assisting them in their learning and improve their performance. Feedback contributes a lot to assessment and has a close link with performance. The study used the qualitative approach to identify the challenges the learners experience when they receive the feedback from their teachers. The participants were sampled from grade 12 learners in the form of a focus group (seven to ten per school) and individual respondents. The method used semi-structured interviews and portfolio observations to collect the data from two high schools in East London (EL) district to look at the nature of the feedback provided to learners. The data was later analysed and interpreted. It has been identified that for both schools feedback conveyed certain messages to learners such motivation to do better, a need to do better and, lastly, affirmation that the learners are on the right track or they are neglected and left to figure out how to do the tasks. The study discovered that, according to Hattie and Timperley (2007)’ there are four levels of feedback. It was found that for the task level learners from school A mainly received oral feedback which was often seen as denigrating them; however, in school B learners received both the oral and written feedback. They felt that the feedback assisted them to understand the task at hand. They also saw this as a way of building up their confidence in all the tasks they come across. Secondly, in the process level, learners in school A did not report receiving feedback at this level but only oral feedback which does not show their mistakes step by step in the task, yet in school B they reported that they got feedback from their teacher individually to help them understand the task. Thirdly, for the self regulation level, in school A there was no data to confirm this. Regarding school B, learners were being assisted by the feedback they received from their teacher and this caused them to monitor their progress. The fourth and last level is the self or personal evaluation where in school A learners were not able to evaluate themselves because they did not receive written feedback, whereas in school B learners could do that freely referring to the written comments from their teacher. The research therefore concluded that in one of the schools the four levels that the study was looking at were not all addressed and thus no meaningful feedback was given. For school B the teacher gave them the feedback which has contributed a lot in their learning. The study recommends that feedback should not be used for right or wrong answers but it must also state clearly why the learner has obtained such mark or grade and what to do to correct the wrongs. Teachers should consider that learner errors also assist them to have a broader picture on what more they need to do in their subjects. It is also recommended that teachers should consider various strategies in giving feedback and the learners’ work has to be monitored timeously for the purpose of the learning process. Lastly, a good approach when feedback is provided is also important because it builds high self-esteem and develops the teacher-learner approach accordingly.
- Full Text:
- Date Issued: 2014
A value-based approach to promoting excellence in mathematics education
- Authors: Austin, Pamela Winifred
- Date: 2010
- Subjects: Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa , Active learning -- South Africa , Effective teaching -- South Africa , Self-efficacy
- Language: English
- Type: Thesis , Doctoral , DPhil
- Identifier: vital:9482 , http://hdl.handle.net/10948/1656 , Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa , Active learning -- South Africa , Effective teaching -- South Africa , Self-efficacy
- Description: This research study has emerged as a result of my concern regarding the apparent low self-efficacy amongst initial teacher education students in my mathematics education classes. It also reflects a reported renewed interest in values, and the promotion of excellence in education. The effects of a values-based approach to mathematics education towards improving students’ self-efficacy and promoting excellence have been investigated, grounded within my ontology of excellence in mathematics education, which incorporates the values of respect, fairness, accountability, honesty and compassion. An inquiry-based teaching and learning approach formed the framework within which the study took place. Notions of ‘new scholarship’, premised on the view that teaching is about engagement in participatory learning, and the development of communities of creative students, provided the theoretical framework. Both quantitative and qualitative data gathering methods were used. Data-collection tools included affective-disposition statements, interviews, journal entries, as well as a video recording of a mathematics education lesson. The quantitative and qualitative data generated suggest improved levels of self-efficacy amongst the students who participated in the study. The data also suggest that a valuesbased approach to teaching can be used as an effective approach by mathematics teachers – and mathematics teacher educators – for the purpose of promoting the pursuit of excellence. As teacher education worldwide is currently characterised by a lack of vitality in teacher preparation (Grossman, 2008), the findings of this study should provide insights for teacher educators, teachers and policy makers who wish to promote mathematics self-efficacy, excellence and facilitate enhanced vitality within the teaching profession.
- Full Text:
- Date Issued: 2010
- Authors: Austin, Pamela Winifred
- Date: 2010
- Subjects: Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa , Active learning -- South Africa , Effective teaching -- South Africa , Self-efficacy
- Language: English
- Type: Thesis , Doctoral , DPhil
- Identifier: vital:9482 , http://hdl.handle.net/10948/1656 , Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa , Active learning -- South Africa , Effective teaching -- South Africa , Self-efficacy
- Description: This research study has emerged as a result of my concern regarding the apparent low self-efficacy amongst initial teacher education students in my mathematics education classes. It also reflects a reported renewed interest in values, and the promotion of excellence in education. The effects of a values-based approach to mathematics education towards improving students’ self-efficacy and promoting excellence have been investigated, grounded within my ontology of excellence in mathematics education, which incorporates the values of respect, fairness, accountability, honesty and compassion. An inquiry-based teaching and learning approach formed the framework within which the study took place. Notions of ‘new scholarship’, premised on the view that teaching is about engagement in participatory learning, and the development of communities of creative students, provided the theoretical framework. Both quantitative and qualitative data gathering methods were used. Data-collection tools included affective-disposition statements, interviews, journal entries, as well as a video recording of a mathematics education lesson. The quantitative and qualitative data generated suggest improved levels of self-efficacy amongst the students who participated in the study. The data also suggest that a valuesbased approach to teaching can be used as an effective approach by mathematics teachers – and mathematics teacher educators – for the purpose of promoting the pursuit of excellence. As teacher education worldwide is currently characterised by a lack of vitality in teacher preparation (Grossman, 2008), the findings of this study should provide insights for teacher educators, teachers and policy makers who wish to promote mathematics self-efficacy, excellence and facilitate enhanced vitality within the teaching profession.
- Full Text:
- Date Issued: 2010
Searching for common ground: developing mathematical reasoning through dialogue
- Authors: Webb, Marie Lynette
- Date: 2010
- Subjects: Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa , English language -- Usage -- South Africa
- Language: English
- Type: Thesis , Doctoral , DEd
- Identifier: vital:9493 , http://hdl.handle.net/10948/1132 , Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa , English language -- Usage -- South Africa
- Description: In the majority of the schools in the Eastern Cape, South Africa, teaching and learning takes place in the second language, English, of both teachers and learners. The purpose of this research was to elicit the perceptions of teachers in multilingual mathematics classes about language issues that they encounter and to ascertain whether they could experientially learn the theory of dialogic teaching through an intervention in order to introduce dialogue in practice in their classes. The effect of the intervention on teacher practices was qualitatively observed and the effect of the teacher practices on learner reasoning competence, numeracy competence and English language competence was quantitatively tested by using validated pre- and post-tests. The study follows a mixed method concurrent triangulation design with both quantitative and qualitative results. Two cohorts of students/teachers studying for qualifications at Nelson Mandela Metropolitan University centres throughout the Eastern Cape expressed their opinions about language challenges and solutions through questionnaires, reflective writing and poetry. A cohort of BEd Honours (Mathematics and Science) students experienced a semester long intervention on the theory and practice of dialogic teaching, particularly exploratory talk, and were tasked to introduce the practice into their multilingual mathematics classes in the form of reported action research. The next phase of the study focussed on the practices of three teachers and their grade seven multilingual mathematics learners who were observed and tested over a period of nine months. The following year the observations and testing were repeated with one teacher and his grade seven learners to ascertain whether the intervention would result in similar findings. iv The results enhance the validity of the Vygotskian claim concerning the relationship between language use, social interaction and reasoning development. In classes where there was evidence of dialogic practices the learners collaborated in groups using code-switching and their main language. Their reasoning, numeracy and English skills test scores improved statistically significantly. Teachers were able to give voice to their deep-felt emotions through poetry. They felt that the devaluing of isiXhosa had resulted in the loss of learners’ main language literacy competencies and consequent loss of cultural capital; however they considered it necessary to develop English competence in the learners, even if it was at the expense of developing mathematical competence. The introduction of exploratory talk in their home languages served the dual purpose of promoting the value of isiXhosa in an academic environment as well as enhancing mathematical reasoning. It appears that when teachers focus on developing language as a tool for reasoning, significant improvements in learners’ problem solving competences occur. When the language used is the main language of both teachers and learners both mathematical understanding and cultural identity are enhanced. The study concludes with a suggestion for a model for future interventions to train teachers to introduce dialogic practices in multilingual mathematics classes.
- Full Text:
- Date Issued: 2010
- Authors: Webb, Marie Lynette
- Date: 2010
- Subjects: Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa , English language -- Usage -- South Africa
- Language: English
- Type: Thesis , Doctoral , DEd
- Identifier: vital:9493 , http://hdl.handle.net/10948/1132 , Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa , English language -- Usage -- South Africa
- Description: In the majority of the schools in the Eastern Cape, South Africa, teaching and learning takes place in the second language, English, of both teachers and learners. The purpose of this research was to elicit the perceptions of teachers in multilingual mathematics classes about language issues that they encounter and to ascertain whether they could experientially learn the theory of dialogic teaching through an intervention in order to introduce dialogue in practice in their classes. The effect of the intervention on teacher practices was qualitatively observed and the effect of the teacher practices on learner reasoning competence, numeracy competence and English language competence was quantitatively tested by using validated pre- and post-tests. The study follows a mixed method concurrent triangulation design with both quantitative and qualitative results. Two cohorts of students/teachers studying for qualifications at Nelson Mandela Metropolitan University centres throughout the Eastern Cape expressed their opinions about language challenges and solutions through questionnaires, reflective writing and poetry. A cohort of BEd Honours (Mathematics and Science) students experienced a semester long intervention on the theory and practice of dialogic teaching, particularly exploratory talk, and were tasked to introduce the practice into their multilingual mathematics classes in the form of reported action research. The next phase of the study focussed on the practices of three teachers and their grade seven multilingual mathematics learners who were observed and tested over a period of nine months. The following year the observations and testing were repeated with one teacher and his grade seven learners to ascertain whether the intervention would result in similar findings. iv The results enhance the validity of the Vygotskian claim concerning the relationship between language use, social interaction and reasoning development. In classes where there was evidence of dialogic practices the learners collaborated in groups using code-switching and their main language. Their reasoning, numeracy and English skills test scores improved statistically significantly. Teachers were able to give voice to their deep-felt emotions through poetry. They felt that the devaluing of isiXhosa had resulted in the loss of learners’ main language literacy competencies and consequent loss of cultural capital; however they considered it necessary to develop English competence in the learners, even if it was at the expense of developing mathematical competence. The introduction of exploratory talk in their home languages served the dual purpose of promoting the value of isiXhosa in an academic environment as well as enhancing mathematical reasoning. It appears that when teachers focus on developing language as a tool for reasoning, significant improvements in learners’ problem solving competences occur. When the language used is the main language of both teachers and learners both mathematical understanding and cultural identity are enhanced. The study concludes with a suggestion for a model for future interventions to train teachers to introduce dialogic practices in multilingual mathematics classes.
- Full Text:
- Date Issued: 2010
Investigating relationships between mathematics teachers' content knowledge, their pedagogical knowledge and their learnes' achievement in terms of functions and graphs
- Authors: Stewart, Joyce
- Date: 2009
- Subjects: Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:9515 , http://hdl.handle.net/10948/1100 , Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa
- Description: This study used diagnostic tests, questionnaires and interviews to investigate explore teachers’ subject content knowledge (SCK) and pedagogical subject knowledge (PCK). It also explored teachers’ and learners’ misconceptions within the topic of graphicacy and how teachers’ SCK and PCK possibly affect learner achievement. A small sample of teachers were drawn from the Keiskammahoek region; a deep rural area of the Eastern Cape. These teachers were part of the Nelson Mandela Metropolitan University (NMMU) Amathole Cluster Schools Project who were registered for a three-year BEd (FET) in-service programme in mathematics education. As part of the programme they studied mathematics 1 and 2 at university level and received quarterly non-formal workshops on teaching mathematics at FET level. The findings of this study suggest that teachers with insufficient SCK will probably have limited PCK, although the two are not entirely dependent on each other. In cases where teachers’ displayed low levels of SCK and PCK, their learners were more likely to perform poorly and their results often indicated similar misconceptions as displayed by their teachers. This implies that we have to look at what teachers know and what they need to know in terms of SCK and PCK if we are to plan effectively for effective teacher development aimed at improving learner performance.
- Full Text:
- Date Issued: 2009
- Authors: Stewart, Joyce
- Date: 2009
- Subjects: Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:9515 , http://hdl.handle.net/10948/1100 , Mathematics -- Study and teaching -- South Africa , Mathematics teachers -- Training of -- South Africa
- Description: This study used diagnostic tests, questionnaires and interviews to investigate explore teachers’ subject content knowledge (SCK) and pedagogical subject knowledge (PCK). It also explored teachers’ and learners’ misconceptions within the topic of graphicacy and how teachers’ SCK and PCK possibly affect learner achievement. A small sample of teachers were drawn from the Keiskammahoek region; a deep rural area of the Eastern Cape. These teachers were part of the Nelson Mandela Metropolitan University (NMMU) Amathole Cluster Schools Project who were registered for a three-year BEd (FET) in-service programme in mathematics education. As part of the programme they studied mathematics 1 and 2 at university level and received quarterly non-formal workshops on teaching mathematics at FET level. The findings of this study suggest that teachers with insufficient SCK will probably have limited PCK, although the two are not entirely dependent on each other. In cases where teachers’ displayed low levels of SCK and PCK, their learners were more likely to perform poorly and their results often indicated similar misconceptions as displayed by their teachers. This implies that we have to look at what teachers know and what they need to know in terms of SCK and PCK if we are to plan effectively for effective teacher development aimed at improving learner performance.
- Full Text:
- Date Issued: 2009
The family maths programme: facilitators' ability to implement inquiry-based teaching and learning with learners and parents
- Authors: Austin, Pamela Winifred
- Date: 2007
- Subjects: Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:9483 , http://hdl.handle.net/10948/471 , Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa
- Description: Despite the fact that the facilitation of inquiry learning is a core methodology in the General Education and Training (GET) band of the South African National Curriculum Statement, rote learning and memorization of algorithms remains common practice in many mathematics classrooms. The inquiry-based Family Maths professional development programme, offered by the Nelson Mandela Metropolitan University, attempts not only to support the transformative education practices targeted by the South African National Department of Education, but also to extend them beyond the school walls to the community at large. This study investigates the extent to which the Family Maths professional development programme develops facilitators’ ability to implement inquiry-based learning. It also seeks to explore which aspects of the programme are effective in developing an inquiry-based approach. The research undertaken is an empirical study of 39 facilitators and uses both qualitative and quantitative methods. The facilitators’ inquiry beliefs and ability to implement inquiry learning was measured by means of questionnaires, observation schedules and interviews. As the ‘teacher as facilitator of inquiry-based teaching and learning’ is a requirement of all South African teachers, the findings of this research should make a meaningful contribution to the field of mathematics teacher education in the South African context.
- Full Text:
- Date Issued: 2007
- Authors: Austin, Pamela Winifred
- Date: 2007
- Subjects: Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:9483 , http://hdl.handle.net/10948/471 , Mathematics -- Study and teaching -- South Africa , Inquiry-based learning -- South Africa
- Description: Despite the fact that the facilitation of inquiry learning is a core methodology in the General Education and Training (GET) band of the South African National Curriculum Statement, rote learning and memorization of algorithms remains common practice in many mathematics classrooms. The inquiry-based Family Maths professional development programme, offered by the Nelson Mandela Metropolitan University, attempts not only to support the transformative education practices targeted by the South African National Department of Education, but also to extend them beyond the school walls to the community at large. This study investigates the extent to which the Family Maths professional development programme develops facilitators’ ability to implement inquiry-based learning. It also seeks to explore which aspects of the programme are effective in developing an inquiry-based approach. The research undertaken is an empirical study of 39 facilitators and uses both qualitative and quantitative methods. The facilitators’ inquiry beliefs and ability to implement inquiry learning was measured by means of questionnaires, observation schedules and interviews. As the ‘teacher as facilitator of inquiry-based teaching and learning’ is a requirement of all South African teachers, the findings of this research should make a meaningful contribution to the field of mathematics teacher education in the South African context.
- Full Text:
- Date Issued: 2007
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