An investigation into the perceptions of the first year mathematics students towards the alternative mode intervention : UNAM case study
- Authors: Iipinge, Reginald Kaleke
- Date: 2013
- Subjects: University of Namibia , Mathematics -- Study and teaching (Higher) -- Namibia , Compensatory education -- Namibia , Academic achievement -- Namibia , Education, Higher -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2005 , http://hdl.handle.net/10962/d1015669
- Description: A number of tertiary institutions offer bridging courses and intervention programmes in order to increase the number of students performing well in first year mathematics. At the university of Namibia, the science faculty provides educational opportunities to students who have not met the requirements to proceed with MAT 3511 (Basic Math). Unfortunately, the majority of students are not able to cope with the first year modules in Mathematics and the pass rates are unacceptably low. In the interest of supporting students, the University was prompted to introduce a two mode intervention programme in first year mathematics, namely: the normal mode and the alternative mode intervention. The alternative mode intervention was designed to improve the mathematics achievement of first year students who are considered low achieving or at risk of failure. This programme involves the identification of the lowest attainers in first year mathematics, and the provision of professional and faculty trained tutors and individualized teaching to these students in order to advance them to a level at which they are likely to learn successfully in a normal mode system. This research explores the experience and perceptions of first year students on the alternative mode, in particular as it relates to mathematical strands of proficiency. A second step was to explore how teaching contributes to the learning of mathematics on the intervention programme. The empirical investigation was done in 4 phases. A questionnaire on mathematics teaching and learning was given to the students during the first phase. During the second phase, two focus group discussions were conducted. Thereafter four interviews were carried out with lecturers, and finally tutorial and lecture observation were conducted. An analysis of these findings led to the identification of the students’ experiences on the alternative mode. Analysis of the results indicate that the students identified mathematical proficiency as the central element to their learning, and pedagogical knowledge and exploratory talk were critical aspects of good teaching in the mathematical intervention programme.
- Full Text:
- Date Issued: 2013
- Authors: Iipinge, Reginald Kaleke
- Date: 2013
- Subjects: University of Namibia , Mathematics -- Study and teaching (Higher) -- Namibia , Compensatory education -- Namibia , Academic achievement -- Namibia , Education, Higher -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:2005 , http://hdl.handle.net/10962/d1015669
- Description: A number of tertiary institutions offer bridging courses and intervention programmes in order to increase the number of students performing well in first year mathematics. At the university of Namibia, the science faculty provides educational opportunities to students who have not met the requirements to proceed with MAT 3511 (Basic Math). Unfortunately, the majority of students are not able to cope with the first year modules in Mathematics and the pass rates are unacceptably low. In the interest of supporting students, the University was prompted to introduce a two mode intervention programme in first year mathematics, namely: the normal mode and the alternative mode intervention. The alternative mode intervention was designed to improve the mathematics achievement of first year students who are considered low achieving or at risk of failure. This programme involves the identification of the lowest attainers in first year mathematics, and the provision of professional and faculty trained tutors and individualized teaching to these students in order to advance them to a level at which they are likely to learn successfully in a normal mode system. This research explores the experience and perceptions of first year students on the alternative mode, in particular as it relates to mathematical strands of proficiency. A second step was to explore how teaching contributes to the learning of mathematics on the intervention programme. The empirical investigation was done in 4 phases. A questionnaire on mathematics teaching and learning was given to the students during the first phase. During the second phase, two focus group discussions were conducted. Thereafter four interviews were carried out with lecturers, and finally tutorial and lecture observation were conducted. An analysis of these findings led to the identification of the students’ experiences on the alternative mode. Analysis of the results indicate that the students identified mathematical proficiency as the central element to their learning, and pedagogical knowledge and exploratory talk were critical aspects of good teaching in the mathematical intervention programme.
- Full Text:
- Date Issued: 2013
An investigation into understanding the experiences of the level 5-7 student teachers when teaching fractions in primary schools in Namibia: a case study
- Authors: Vatilifa, Ndamononghenda
- Date: 2013
- Subjects: Mathematics -- Study and teaching (Elementary) -- Research -- Namibia -- Case studies Fractions -- Study and teaching (Elementary) -- Research -- Namibia -- Case studies Mathematics teachers -- Training of -- Namibia -- Case studies Education, Elementary -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1398 , http://hdl.handle.net/10962/d1001792
- Description: The Namibian government through the Ministry of Education seeks for teachers to meet the demands and rise to the challenges of the post-independence basic education system. Therefore the University of Namibia Education Faculty must ensure through the training of student teachers for both lower, upper primary and secondary school level that these demands are met. Research shows that one of the major challenges in teacher training programs, specifically in the mathematics education programmes, lies with the student teachers’ difficulties in dealing with various topics in mathematics, particularly fractions. The teaching of fractions is a challenging area at primary level and lays the foundation for understanding different topics in upper grades such as algebra, ratio and proportion, statistics and probability, to mention just a few. This study focused on an exploration of teaching fractions by five student teachers during their teaching practice.The main purpose was to gain an understanding of the experiences of the level 5-7 student teachers with regard to their practice of fraction teaching; their experience of the mathematics education course with respect to the teaching of fractions; and their prior experience related to fractions and fraction teaching at Grade 6 level. The findings from this research showed that student teachers viewed mathematics, specifically fractions, as just about doing calculations, doing drill and practice as in this way learners’ understanding of fractions is enhanced. The importance of using rules and procedures was emphasized as paving the way to mastering fractions. The data analysis also revealed that student teachers employed different teaching approaches when they considered learners’ prior knowledge. However, they misinterpreted the learner-centred approach in terms of group work and class discussion in their teaching of fractions. The data also revealed that some student teachers had an understanding of fractions as they managed to redirect their learners from applying some fraction misconceptions. The findings further showed that due to lack of understanding most of the participants experienced fear and anxiety in their fraction teaching; attempted an approach then reverted to old practices used in schools; taught fractions as symbolic representations where no meaning was involved; used incorrect terminologies such as ‘1 over 4’ or ‘1 out of 4’ instead of a ‘quarter’ or ‘one-fourth’. It is further revealed that the some student teachers viewed a fraction as a pair of two different whole numbers and can be broken apart. The findings of this study yielded one main implication for the teaching of mathematics: that the teacher training programs, specifically for mathematics teachers, must take into consideration the weaknesses and strengths of the student teachers shown in this study to properly train and prepare them to become effective mathematics teachers.
- Full Text:
- Date Issued: 2013
- Authors: Vatilifa, Ndamononghenda
- Date: 2013
- Subjects: Mathematics -- Study and teaching (Elementary) -- Research -- Namibia -- Case studies Fractions -- Study and teaching (Elementary) -- Research -- Namibia -- Case studies Mathematics teachers -- Training of -- Namibia -- Case studies Education, Elementary -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1398 , http://hdl.handle.net/10962/d1001792
- Description: The Namibian government through the Ministry of Education seeks for teachers to meet the demands and rise to the challenges of the post-independence basic education system. Therefore the University of Namibia Education Faculty must ensure through the training of student teachers for both lower, upper primary and secondary school level that these demands are met. Research shows that one of the major challenges in teacher training programs, specifically in the mathematics education programmes, lies with the student teachers’ difficulties in dealing with various topics in mathematics, particularly fractions. The teaching of fractions is a challenging area at primary level and lays the foundation for understanding different topics in upper grades such as algebra, ratio and proportion, statistics and probability, to mention just a few. This study focused on an exploration of teaching fractions by five student teachers during their teaching practice.The main purpose was to gain an understanding of the experiences of the level 5-7 student teachers with regard to their practice of fraction teaching; their experience of the mathematics education course with respect to the teaching of fractions; and their prior experience related to fractions and fraction teaching at Grade 6 level. The findings from this research showed that student teachers viewed mathematics, specifically fractions, as just about doing calculations, doing drill and practice as in this way learners’ understanding of fractions is enhanced. The importance of using rules and procedures was emphasized as paving the way to mastering fractions. The data analysis also revealed that student teachers employed different teaching approaches when they considered learners’ prior knowledge. However, they misinterpreted the learner-centred approach in terms of group work and class discussion in their teaching of fractions. The data also revealed that some student teachers had an understanding of fractions as they managed to redirect their learners from applying some fraction misconceptions. The findings further showed that due to lack of understanding most of the participants experienced fear and anxiety in their fraction teaching; attempted an approach then reverted to old practices used in schools; taught fractions as symbolic representations where no meaning was involved; used incorrect terminologies such as ‘1 over 4’ or ‘1 out of 4’ instead of a ‘quarter’ or ‘one-fourth’. It is further revealed that the some student teachers viewed a fraction as a pair of two different whole numbers and can be broken apart. The findings of this study yielded one main implication for the teaching of mathematics: that the teacher training programs, specifically for mathematics teachers, must take into consideration the weaknesses and strengths of the student teachers shown in this study to properly train and prepare them to become effective mathematics teachers.
- Full Text:
- Date Issued: 2013
An investigation on how learners may use multiple representations in a social interaction to promote learning of percentages and fractions: a case study
- Authors: Ngola-Kazumba, Maria
- Date: 2013
- Subjects: Fractions -- Study and teaching (Secondary) -- Namibia -- Case studies Percentage -- Study and teaching (Secondary) -- Namibia -- Case studies Mathematical notation -- Study and teaching (Secondary) -- Namibia Mathematics -- Study and teaching (Secondary) -- Namibia Experiential learning -- Namibia Education, Secondary -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1890 , http://hdl.handle.net/10962/d1006057
- Description: The study examined the use of multiple representations such as the real world, written symbols, spoken symbols, diagrams and manipulatives by learners to promote the learning of percentages and fractions through social interaction. This investigation was carried out through a teaching and learning programme which was developed and implemented by me, the researcher. The effect of the implemented programme was the main focus of the research. The qualitative study was oriented in the interpretive paradigm – a paradigm that seeks to understand the meaning attached to human actions. Twenty learners participated in the implementation of the programme and 9 learners were selected for focus group interviews. The purpose of the interviews was to explore learners' understanding and feelings about the use of multiple representations in the learning of percentages and fractions through social interactions. The other tools employed in this study were pre-and-post diagnostic tests, observations, learners' work and a journal. The pre-test was used to determine learners' prior knowledge for the program design and implementation, while the post-test and learners' work were used to analyze the effect of the programme. Observations were used to investigate how multiple representations promoted or did not promote the learning of percentages and fractions. The teacher's journal was to record and reflect on any relevant information gathered on each lesson observed. The data shows that the effective use of multiple representations helped learners learn the concept of percentages and fractions better. Learners were able to look at representations in useful ways; multiple representations made some aspects of the concept clear; and multiple representations enabled learners to correct errors. Through the interaction between the teacher and learners, the following was found: all the learners changed words to change focus; learners made links between multiple representations; the learners deepened their concepts of percentages and fractions; learners could convert between fractions using multiple representations; learners could work out percentages of a quantity; and learners could express one quantity as a percentage of another. Furthermore, through the interaction between learners and learners all learners could identify more equivalent fractions of an initial fraction which was given to them; and they could increase and decrease a quantity by a given percentage. On the basis of this research, it can be concluded that the programme promoted the learning of percentages and fractions through three effective methodologies. The first methodology consisted of the effective use of multiple representations; the second methodology concerned the interaction between the teacher and learner during the learning process and the last methodology related to the interaction between the learners - interactions that were not strongly mediated by the teacher. I would recommend that teachers use these three effective approaches when teaching percentages and fractions to promote the learning of the concepts.
- Full Text:
- Date Issued: 2013
- Authors: Ngola-Kazumba, Maria
- Date: 2013
- Subjects: Fractions -- Study and teaching (Secondary) -- Namibia -- Case studies Percentage -- Study and teaching (Secondary) -- Namibia -- Case studies Mathematical notation -- Study and teaching (Secondary) -- Namibia Mathematics -- Study and teaching (Secondary) -- Namibia Experiential learning -- Namibia Education, Secondary -- Namibia
- Language: English
- Type: Thesis , Masters , MEd
- Identifier: vital:1890 , http://hdl.handle.net/10962/d1006057
- Description: The study examined the use of multiple representations such as the real world, written symbols, spoken symbols, diagrams and manipulatives by learners to promote the learning of percentages and fractions through social interaction. This investigation was carried out through a teaching and learning programme which was developed and implemented by me, the researcher. The effect of the implemented programme was the main focus of the research. The qualitative study was oriented in the interpretive paradigm – a paradigm that seeks to understand the meaning attached to human actions. Twenty learners participated in the implementation of the programme and 9 learners were selected for focus group interviews. The purpose of the interviews was to explore learners' understanding and feelings about the use of multiple representations in the learning of percentages and fractions through social interactions. The other tools employed in this study were pre-and-post diagnostic tests, observations, learners' work and a journal. The pre-test was used to determine learners' prior knowledge for the program design and implementation, while the post-test and learners' work were used to analyze the effect of the programme. Observations were used to investigate how multiple representations promoted or did not promote the learning of percentages and fractions. The teacher's journal was to record and reflect on any relevant information gathered on each lesson observed. The data shows that the effective use of multiple representations helped learners learn the concept of percentages and fractions better. Learners were able to look at representations in useful ways; multiple representations made some aspects of the concept clear; and multiple representations enabled learners to correct errors. Through the interaction between the teacher and learners, the following was found: all the learners changed words to change focus; learners made links between multiple representations; the learners deepened their concepts of percentages and fractions; learners could convert between fractions using multiple representations; learners could work out percentages of a quantity; and learners could express one quantity as a percentage of another. Furthermore, through the interaction between learners and learners all learners could identify more equivalent fractions of an initial fraction which was given to them; and they could increase and decrease a quantity by a given percentage. On the basis of this research, it can be concluded that the programme promoted the learning of percentages and fractions through three effective methodologies. The first methodology consisted of the effective use of multiple representations; the second methodology concerned the interaction between the teacher and learner during the learning process and the last methodology related to the interaction between the learners - interactions that were not strongly mediated by the teacher. I would recommend that teachers use these three effective approaches when teaching percentages and fractions to promote the learning of the concepts.
- Full Text:
- Date Issued: 2013
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