Teaching NCS (CAPS) FET mathematics: a comparison between an offline techno-blended Model and a traditional approach
- Authors: Munemo, Noname
- Date: 2019
- Subjects: Mathematics -- Study and teaching (Secondary) , Mathematics -- Study and teaching (Higher) -- South Africa Blended learning Educational innovations
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10948/41614 , vital:36545
- Description: This research is a comparative research study that compares the way learning has taken place when selected mathematics topics were taught to two groups of Grade 11 Mathematics learners. An offline Techno-Blended Teaching and Learning Model was used for one group, while the other group was taught without the integration of technology. The cognitive and affective impact of the use of technology when an offline Techno-Blended T&L Model was followed, was compared to a corresponding impact of an approach where no technology was integrated during the teaching of the topics. The research study involved teachers and selected learners in the Mathematics classes from four different high schools selected from two urban districts in the Eastern Cape Province in South Africa. The curriculum topics that the research focused on were Euclidean Geometry and Trigonometry.
- Full Text:
- Date Issued: 2019
- Authors: Munemo, Noname
- Date: 2019
- Subjects: Mathematics -- Study and teaching (Secondary) , Mathematics -- Study and teaching (Higher) -- South Africa Blended learning Educational innovations
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: http://hdl.handle.net/10948/41614 , vital:36545
- Description: This research is a comparative research study that compares the way learning has taken place when selected mathematics topics were taught to two groups of Grade 11 Mathematics learners. An offline Techno-Blended Teaching and Learning Model was used for one group, while the other group was taught without the integration of technology. The cognitive and affective impact of the use of technology when an offline Techno-Blended T&L Model was followed, was compared to a corresponding impact of an approach where no technology was integrated during the teaching of the topics. The research study involved teachers and selected learners in the Mathematics classes from four different high schools selected from two urban districts in the Eastern Cape Province in South Africa. The curriculum topics that the research focused on were Euclidean Geometry and Trigonometry.
- Full Text:
- Date Issued: 2019
Developing and using an assessment instrument for spatial skills in Grade 10 geometry learners
- Authors: Cowley, Jane
- Date: 2015
- Subjects: Geometry -- Study and teaching (Secondary) -- South Africa -- Eastern Cape , Geometry -- Evaluation. , Mathematics -- Study and teaching (Secondary)
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2025 , http://hdl.handle.net/10962/d1017336
- Description: This qualitative investigation took the form of a case study and fell within the interpretive research paradigm. The Mathematics Chair at the Education Department of Rhodes University launched the Mathematics Teacher Enrichment Programme (MTEP) in 2010 in order to combat poor Mathematics performance of learners in the lower Albany district of the Eastern Cape. The challenge that the participating MTEP teachers faced was a lack of time available to implement new teaching ideas. This was because most of their time was spent catching up “lost” or untaught concepts in the classroom. To address this problem, the Catch-Up Project was launched, whereby selected Mathematics teachers in the area taught lost concepts to Grade Ten learners during afternoon classes in an attempt to improve their fundamental Mathematics knowledge. In order to establish which sections of Mathematics were more difficult for the learners in this programme, bench mark tests were administered biannually. Whilst these tests certainly identified deficient areas within their Mathematics knowledge, the poorest performance areas were the sections of the syllabus which were spatial in nature, such as Space and Shape and Geometry. However, a more in depth assessment tool was required to establish which specific spatial skills the learners were not able to employ when doing these Geometry tasks. To this end, the Spatial Skills Assessment Tasks (SSAT) was developed. It consisted of traditional text book type Geometry tasks and real-world context tasks, both of which were used to assess six spatial skills deemed crucial to successfully facilitate learning Geometry. The case study took place in two of the schools which participated in the Grade Ten Catch-Up project. The case was focused on Grade Ten learners and the unit of analysis was their responses to the SSAT instrument. The learners that participated all did so on a strictly voluntary basis and great care was taken to protect their wellbeing and anonymity at all times. The results of the SSAT instrument revealed that the real world context tasks were in general far more successfully answered than the traditional text book type questions. Important trends in learner responses were noted and highlighted. For example, geometric terminology remains a huge challenge for learners, especially as they study Mathematics in their second language. The ability of the learners to differentiate between such concepts as congruency and similarity is severely compromised, partly due to a lack of terminological understanding but also due to a perceived lack of exposure to the material. Concepts such as verticality and horizontality also remain a huge challenge, possibly for the same reasons. They are poorly understood and yet vital to achievement in Geometry. Recommendations for the development and strengthening of spatial skills support the constructivist approach to learning. Hands on activities and intensive sustained practice over a period of a few months, in which both teachers and learners are actively involved in the learning process, would be considered most beneficial to the long term enhancement of these vital spatial skills and to the learning of Geometry in general.
- Full Text:
- Date Issued: 2015
- Authors: Cowley, Jane
- Date: 2015
- Subjects: Geometry -- Study and teaching (Secondary) -- South Africa -- Eastern Cape , Geometry -- Evaluation. , Mathematics -- Study and teaching (Secondary)
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2025 , http://hdl.handle.net/10962/d1017336
- Description: This qualitative investigation took the form of a case study and fell within the interpretive research paradigm. The Mathematics Chair at the Education Department of Rhodes University launched the Mathematics Teacher Enrichment Programme (MTEP) in 2010 in order to combat poor Mathematics performance of learners in the lower Albany district of the Eastern Cape. The challenge that the participating MTEP teachers faced was a lack of time available to implement new teaching ideas. This was because most of their time was spent catching up “lost” or untaught concepts in the classroom. To address this problem, the Catch-Up Project was launched, whereby selected Mathematics teachers in the area taught lost concepts to Grade Ten learners during afternoon classes in an attempt to improve their fundamental Mathematics knowledge. In order to establish which sections of Mathematics were more difficult for the learners in this programme, bench mark tests were administered biannually. Whilst these tests certainly identified deficient areas within their Mathematics knowledge, the poorest performance areas were the sections of the syllabus which were spatial in nature, such as Space and Shape and Geometry. However, a more in depth assessment tool was required to establish which specific spatial skills the learners were not able to employ when doing these Geometry tasks. To this end, the Spatial Skills Assessment Tasks (SSAT) was developed. It consisted of traditional text book type Geometry tasks and real-world context tasks, both of which were used to assess six spatial skills deemed crucial to successfully facilitate learning Geometry. The case study took place in two of the schools which participated in the Grade Ten Catch-Up project. The case was focused on Grade Ten learners and the unit of analysis was their responses to the SSAT instrument. The learners that participated all did so on a strictly voluntary basis and great care was taken to protect their wellbeing and anonymity at all times. The results of the SSAT instrument revealed that the real world context tasks were in general far more successfully answered than the traditional text book type questions. Important trends in learner responses were noted and highlighted. For example, geometric terminology remains a huge challenge for learners, especially as they study Mathematics in their second language. The ability of the learners to differentiate between such concepts as congruency and similarity is severely compromised, partly due to a lack of terminological understanding but also due to a perceived lack of exposure to the material. Concepts such as verticality and horizontality also remain a huge challenge, possibly for the same reasons. They are poorly understood and yet vital to achievement in Geometry. Recommendations for the development and strengthening of spatial skills support the constructivist approach to learning. Hands on activities and intensive sustained practice over a period of a few months, in which both teachers and learners are actively involved in the learning process, would be considered most beneficial to the long term enhancement of these vital spatial skills and to the learning of Geometry in general.
- Full Text:
- Date Issued: 2015
Investigating how a peer teaching programme could shape the mathematical experience of the participating tutors
- Authors: Lubasi, Justin Mwandamena
- Date: 2015
- Subjects: Mathematics -- Study and teaching (Secondary) , Peer teaching , Mathematical ability
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2039 , http://hdl.handle.net/10962/d1017350
- Description: This case study, involving six Grade 10 learners, investigates how a peer tutoring programme could shape the mathematical experience and disposition of the participating tutors. The study is grounded in an interpretive paradigm and data was collected in four sequential phases. The Mathematics Dispositional Functions Inventory (MDFI) instrument was completed by the tutors prior to commencement of the tutoring programme. The tutoring sessions then took place over a three week period during which time each tutor kept a reflective journal. Semi-structured interviews were then conducted, after which each tutor completed the MDFI instrument again in order to track any potential changes in their mathematical disposition. The study found that the participating tutors showed an improved mathematics disposition after the peer tutoring experience. Not only was the peer tutoring programme an empowering experience for the tutors, it also had a positive influence on both the tutors’ self-confidence as well as their perceived mathematical ability.
- Full Text:
- Date Issued: 2015
- Authors: Lubasi, Justin Mwandamena
- Date: 2015
- Subjects: Mathematics -- Study and teaching (Secondary) , Peer teaching , Mathematical ability
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2039 , http://hdl.handle.net/10962/d1017350
- Description: This case study, involving six Grade 10 learners, investigates how a peer tutoring programme could shape the mathematical experience and disposition of the participating tutors. The study is grounded in an interpretive paradigm and data was collected in four sequential phases. The Mathematics Dispositional Functions Inventory (MDFI) instrument was completed by the tutors prior to commencement of the tutoring programme. The tutoring sessions then took place over a three week period during which time each tutor kept a reflective journal. Semi-structured interviews were then conducted, after which each tutor completed the MDFI instrument again in order to track any potential changes in their mathematical disposition. The study found that the participating tutors showed an improved mathematics disposition after the peer tutoring experience. Not only was the peer tutoring programme an empowering experience for the tutors, it also had a positive influence on both the tutors’ self-confidence as well as their perceived mathematical ability.
- Full Text:
- Date Issued: 2015
A case study on the role of excel as a teaching and learning tool in influencing learners' interpretation of functions
- Authors: Zakumba, Lwazi Xolisile
- Date: 2014
- Subjects: Microsoft Excel (Computer file) , Computer-assisted instruction , Mathematics -- Study and teaching (Secondary)
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:9455 , http://hdl.handle.net/10948/d1018756
- Description: The aim of this study was to investigate the role Excel could play in influencing Mathematics and Mathematical literacy learners’ interpretation of functions and their attitude towards Mathematics. I used a Mathematical Graphical Diagnostic (MGD) test, an attitude questionnaire, a reflective questionnaire and semi-structured interviews as instruments. The MGD test and the attitude questionnaire were given to 72 volunteer grade 11 learners at a former Model C school in Port Elizabeth, in the Eastern Cape. This group included 50 pure Mathematics learners and 22 Mathematical literacy learners. From this group, a smaller group of 10 learners further took part in the rest of the study were they went through an intervention were Excel was used as a teaching tool, covering concepts concerning functions. This group included 6 pure Mathematics and 4 Mathematical literacy learners. The 10 learners then re-wrote the MDG test and refilled the attitude questionnaire after the intervention. A reflective questionnaire was administered to the 10 learners after the intervention, with 5 learners from the 10 undergoing interviews in order to meet the objectives of the study. The administration of the MDG test and attitude questionnaire, interviews and reflective questionnaire enabled me to explore the relationship between learner performance and their attitude towards Mathematics as a subject, as well as the comparing the attitudes and performances between pure Mathematics and Mathematical Literacy learners. The study followed a qualitative research design, with an element of quantitative research. The qualitative data yielded findings that revealed the effectiveness of using Excel in teaching functions while the quantitative data revealed the difference in attitude and ability between pure Mathematics and Mathematical Literacy leaners. The findings of the study revealed that Excel played a major role in improving pure Mathematics learners’ results but not those of the Mathematical Literacy learners. The study also showed that technology does not necessarily impact on learners’ attitudes positively.
- Full Text:
- Date Issued: 2014
- Authors: Zakumba, Lwazi Xolisile
- Date: 2014
- Subjects: Microsoft Excel (Computer file) , Computer-assisted instruction , Mathematics -- Study and teaching (Secondary)
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:9455 , http://hdl.handle.net/10948/d1018756
- Description: The aim of this study was to investigate the role Excel could play in influencing Mathematics and Mathematical literacy learners’ interpretation of functions and their attitude towards Mathematics. I used a Mathematical Graphical Diagnostic (MGD) test, an attitude questionnaire, a reflective questionnaire and semi-structured interviews as instruments. The MGD test and the attitude questionnaire were given to 72 volunteer grade 11 learners at a former Model C school in Port Elizabeth, in the Eastern Cape. This group included 50 pure Mathematics learners and 22 Mathematical literacy learners. From this group, a smaller group of 10 learners further took part in the rest of the study were they went through an intervention were Excel was used as a teaching tool, covering concepts concerning functions. This group included 6 pure Mathematics and 4 Mathematical literacy learners. The 10 learners then re-wrote the MDG test and refilled the attitude questionnaire after the intervention. A reflective questionnaire was administered to the 10 learners after the intervention, with 5 learners from the 10 undergoing interviews in order to meet the objectives of the study. The administration of the MDG test and attitude questionnaire, interviews and reflective questionnaire enabled me to explore the relationship between learner performance and their attitude towards Mathematics as a subject, as well as the comparing the attitudes and performances between pure Mathematics and Mathematical Literacy learners. The study followed a qualitative research design, with an element of quantitative research. The qualitative data yielded findings that revealed the effectiveness of using Excel in teaching functions while the quantitative data revealed the difference in attitude and ability between pure Mathematics and Mathematical Literacy leaners. The findings of the study revealed that Excel played a major role in improving pure Mathematics learners’ results but not those of the Mathematical Literacy learners. The study also showed that technology does not necessarily impact on learners’ attitudes positively.
- Full Text:
- Date Issued: 2014
A multiple case study of parent involvement with grade 8 learners of mathematics
- Authors: Govender, Vasuthavan Gopaul
- Date: 2007
- Subjects: Education, Secondary -- Parent participation , Parent-teacher relationships , Mathematics -- Study and teaching (Secondary)
- Language: English
- Type: Thesis , Doctoral , DEd
- Identifier: vital:9556 , http://hdl.handle.net/10948/511 , http://hdl.handle.net/10948/d1011913 , Education, Secondary -- Parent participation , Parent-teacher relationships , Mathematics -- Study and teaching (Secondary)
- Description: The learning of mathematics is a worldwide concern. International studies over the last decade place South African learners amongst the lowest achievers. Although various initiatives have been tried there does not seem to be any improvement. In the USA and UK initiatives include the involvement of parents and these have been implemented with great success. One of the parent involvement programmes from the USA, the Family Maths Programme has been in South Africa since 1996. This programme has been successful in South Africa but is confined to parents of grades 4-7 children. However, there is no programme for parents of high school learners. As grade 8 is usually the first high school year in South Africa, this study focuses on parents of grade 8 children and their involvement in their children’s mathematics learning. It consists of an initial survey of grade 8 parents’ (from an urban school) mathematical backgrounds and experiences and their involvement in their children’s education. Using key points from the survey and elements from the literature review and other sources, the researcher designed a parent assistance programme for mathematics which was conducted with three groups of parents of grade 8 children from the same high school. Each group of parents was exclusive and the same set of procedures was applied to each group, making this study a qualitative multiple case study, within the interpretive research paradigm. The parent-assistance programme consists of a parents’ workshop and completion of journals over a 7-week period. Parents documented their interactions with their children in structured journals, a process known as participant journaling. After this journaling period, parents and children were surveyed on this interaction by means of follow-up questionnaires. This was followed later in interviews with the parents and mathematics teachers, separately. After the completion of all three case studies parents and children participated in focus group discussions to discuss and share experiences of the programme. The interrogation of the data, on two levels, suggests parents’ and children’s perceptions of mathematics were likely to be positively influenced. The data also suggest that children were likely to become more confident and to improve in mathematics.
- Full Text:
- Date Issued: 2007
- Authors: Govender, Vasuthavan Gopaul
- Date: 2007
- Subjects: Education, Secondary -- Parent participation , Parent-teacher relationships , Mathematics -- Study and teaching (Secondary)
- Language: English
- Type: Thesis , Doctoral , DEd
- Identifier: vital:9556 , http://hdl.handle.net/10948/511 , http://hdl.handle.net/10948/d1011913 , Education, Secondary -- Parent participation , Parent-teacher relationships , Mathematics -- Study and teaching (Secondary)
- Description: The learning of mathematics is a worldwide concern. International studies over the last decade place South African learners amongst the lowest achievers. Although various initiatives have been tried there does not seem to be any improvement. In the USA and UK initiatives include the involvement of parents and these have been implemented with great success. One of the parent involvement programmes from the USA, the Family Maths Programme has been in South Africa since 1996. This programme has been successful in South Africa but is confined to parents of grades 4-7 children. However, there is no programme for parents of high school learners. As grade 8 is usually the first high school year in South Africa, this study focuses on parents of grade 8 children and their involvement in their children’s mathematics learning. It consists of an initial survey of grade 8 parents’ (from an urban school) mathematical backgrounds and experiences and their involvement in their children’s education. Using key points from the survey and elements from the literature review and other sources, the researcher designed a parent assistance programme for mathematics which was conducted with three groups of parents of grade 8 children from the same high school. Each group of parents was exclusive and the same set of procedures was applied to each group, making this study a qualitative multiple case study, within the interpretive research paradigm. The parent-assistance programme consists of a parents’ workshop and completion of journals over a 7-week period. Parents documented their interactions with their children in structured journals, a process known as participant journaling. After this journaling period, parents and children were surveyed on this interaction by means of follow-up questionnaires. This was followed later in interviews with the parents and mathematics teachers, separately. After the completion of all three case studies parents and children participated in focus group discussions to discuss and share experiences of the programme. The interrogation of the data, on two levels, suggests parents’ and children’s perceptions of mathematics were likely to be positively influenced. The data also suggest that children were likely to become more confident and to improve in mathematics.
- Full Text:
- Date Issued: 2007
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