Magister Educationis - MEd (Mathematics)

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The effects of an instructional strategy on grade 11 learners' understanding of genetics
(University of the Western Cape, 2004) Siseho, Simasiku Charles; Ogunniyi, Meshach Bolaji
Research into learning genetics has largely focused on issues such as problem solving and the process of meiosis. The central concept of genetics, however, has received very little attention despite the fact that it is one of the concepts that learners find difficult (Ogunniyi, 1999; Bahar, Johnstone and Hansell, 1999; Collins and Stewart, 1989). In view of this, the specific purpose of this study was to investigate: (l) concepts of genetics that grade I I learners hold before and after a period of instruction in genetics (2) the differences in the understanding of genetics held by learners exposed to an instructional model and those not so exposed; and (3) possible influences of gender, age, and language on grade I I leamers' understanding of genetics. The method adopted for this study was a multidimensional approach in which both qualitative and quantitative approaches were used to complement each other. The role of the researcher in this study was that of the participant-as-observer. An induction workshop was conducted for both the combined instructional teacher (i.e. experimental teacher) and the traditional instructional teacher (i.e. control teacher) to help them explore and reflect on their practice with the view to create in them an appreciation for multiple teaching strategies or traditional teaching strategies to teaching and learning respectively.
Eritrean grade eight student understanding of algebraic variables
(University of the Western Cape, 2003) Yosief, Tekie Sium; Julie, Cyril
This study investigated Eritrean grade eight students' understanding of algebraic variables. A complete count survey of all secondary schools of one province was done and the one that took part in the study was Gash-Barka province. The study adopted the test and framework developed by Kuchemann (1980). Children's responses and the items themselves were classified into "levels of understanding". Items of the test were classified into four levels based on the name that can be given to letters in solving a problem and the structural complexity of the item. These items were used to classify the Eritean grade eight students' performances into five "levels of understanding".The present study produced results that showed that 72.6 % of the students dealt with letters in algebraic expressions and equations as objects. Whilst 3.7 % of the students were able to regard letters as specific unknowns, only 0.2 Yo of the students were able to consider letters as generalized numbers or variables. That is, almost all (95.9 %) of the tested Eritrean grade eight students were unable to cope consistently with items that can properly be called algebra, that is, items where the use of letters as unknown numbers cannot be avoided. Comparisons by school and gender were done to see if there were relationships among the levels of understanding and the two variables. The findings showed that there was no significant relationship among the levels of understanding and gender of the students. However, the comparison by school showed that there was significant relationship between schools and levels of understanding. The Pearson chi-square test showed that the relationship between the level of understanding and gender was not significant, whereas the relationship between levels of understanding and school was statistically significant at 0.05 level of significance.
The effect of graphic calculators on the mathematical achievement in quadratic functions of urban Eritrean grade 10 students
(University of the Western Cape, 2003) Mebrahtu, Amare Teclemicael; Julie, Cyril
The purpose of this study was to investigate the effect of graphic calculators on the mathematical achievement of Eritrean grade 10 students related to the concepts of quadratic function. The study adopted a quasi-experimental design that involved two groups of students: the graphic calculator group and paper and pencil group. A total of 41 students from two secondary schools were involved in this study. 20 students were in the graphic calculator group and 21 in the paper and pencil group. A quadratic functions test was used to determine whether there is a significant difference in the mean achievement score between the two groups at the pre-test and post-test stages. The groups were compared by using the student's t test for independent samples.
An investigation into the nature of verbal interactions during the practical training of medical technology students
(University of the Western Cape, 1999) Paulsen, Moira Catherina; Julie, Cyril
various ideas have been propagated regarding the way people come to know in apprenticeship situations. The particular set of social practice theory that informs this study is that related to old-timers and newcomers. The newcomer comes to know by constant engagement in the activities of the community of experts. This study shows that being around the old-timer does not necessarily gibe rise to learning if the contact between these two agents does not occur as a shared practice. This shared practice will facilitate the curriculum that must exist between them. This curriculum be it a learning curriculum and/or a teaching curriculum can only be successful if the shared practice is transparent to the newcomer, and the newcomer is accepted as a legitimate peripheral participant. The participation of the newcomer in the activities of the old-timer ensures learning to occur. As long as the old-timer prevents the newcomer from engaging in the authentic tasks of medical technology, the newcomer will fail to develop a sense of the 'whole' of the trade and learning will be impaired. The old- timer provides a bridge between the development of knowledgeable skill and identity, and the production and reproduction of a community of experts. The author's own experience in Medical Technology training and the increasing challengers to empower learners generated questions around the training of medical technology students. It is argued that learners make sense of theoretical ideas by 'doing' that what is learned in the theory. This necessitates the use of the tools of the trade. During this engagement with the tools various phases can be operated in. These phases include the 'way-in' phase and the 'practice phase'. Medical technology practice i.e. the way medical technologist engages in the trade allows for the development of a community of experts. This however also requires the development of certain skills. These skills can be cognitive- and/or practical skills. This study put emphasis on the nature of verbal interactions during the practical training of medical technology students. The study further provides evidence that apprenticeship training of medical technology students takes the form of imitation, i.e. it is unsystematic and unsupported. The emphasis of the training is on service delivery rather than on teaching. There is visible between learning in the formal academic setting (Site A) and learning in the apprenticeship learning situation (Site B).
Conceptions of conservation of energy among grade seven learners in two cape town schools
(University of Western Cape, 2021) Okoroh, Nwakaego Esther Malin; Ogunniyi, M.B.
The clamour in the country about the poor performance of learners in the area of physical science is a concern and this problem had been attributed to different facets of learning which include the amendment of curriculum over the years. But my question is; can the curriculum amendment succeed without effective teaching approaches? This poignant question formed the central concern for this investigation. This study examined two cohorts of grade seven learners’ conceptions of conservation of energy using a Dialogical Argumentation Instructional Model (DAIM) as well as the Traditional Lecture Method (TLM). The study involved 48 learners selected from two public schools in Cape Town. Using a quasi-experimental (Non-equivalent groups) design, the study examined the two groups from different schools (24 learners in each). It exposed one group to the Traditional Lecture Method (TLM) and the other group to a Dialogical Argumentation Instructional Model (DAIM) which was based on two argumentation frameworks– Toulmin’s Argumentation Pattern (TAP) and Contiguity Argumentation Theory (CAT).
Mathematical modelling with simultaneous equations – An analysis of Grade 10 learners’ modelling competencies
(University of the Western Cape, 2020) Machingura, Dzivaidzo; Govender, Rajendran
Mathematical modelling is gaining extensive interest across the schooling sector worldwide, as it is deemed to develop learners with competencies set to deal with the demands of the fourth industrial revolution and being creative problem solvers. As mathematical modelling has only recently gained momentum across the mathematics curricula for schools in South Africa, many teachers may not be aware of the competencies that are needed to be developed in their learners through solving word problems, and even learners may not be aware of these essential modelling competencies. Hence, this mixed-methods approach study adopted a case-study design located within an interpretative paradigm to explore the levels of mathematical modelling competencies a sample of Grade 10 learners attending a Western Cape School demonstrated as they solved a set of word problems associated with the use of simultaneous equations. Additionally, data collected through observations and limited sets of semi-structured interviews were considered in the data analysis processes, which were largely driven by qualitative content analysis methods and supplemented with elementary descriptive statistical methods. The findings of this study showed that most of the learners demonstrated non-competency in modelling mainly because of their inability to understand the problem as evident in their failure to comprehend the context of a problem, inability to recognise important quantities associated with a problem, and muddled relationships if any. The study conjecture that the use of the English language could have been a barrier to the sample of English second language speakers understanding the problem. However, a very limited number of students showed partial modelling competency, as they were only able to understand the problem and build a correct model to solve the problem. Regrettably, these students lacked the knowledge of the heuristics for solving a system of linear equations correctly and completely and did not check or verify their answers. The extremely small number of learners, who demonstrated sufficient modelling competency, demonstrated sufficient understanding of the problem, built and solved the system of simultaneous linear equations successfully without necessarily checking or testing whether their answers satisfied the conditions of the problem. Hence, this study recommends that adequate focus be given to the role of language in understanding a problem, heuristic competencies to solve a system of linear equations should be strengthened, and the habit of checking the reasonableness of the solution should be encouraged and developed continuously across problem-solving tasks. Studying learners’ modelling competencies requires further work to add to the repertoire of this knowledge domain.
The impact of using technology through cooperative learning on learners’ performance on grade 11 circle geometry
(University of the Western Cape, 2020) Shonhiwa, William; Govender, Rajendran
Euclidean geometry was recently re-introduced as a compulsory topic in the Mathematics Curriculum for learners in the Further Education and Training (FET) band in 2012. The diagnostic analysis reports on the National Senior Certificate (NSC) Mathematics Paper 2 examinations since 2014 has repeatedly expressed concern of the poor performance of leaners in proof and reasoning items linked to circle geometry. Various efforts have been made to examine the composition of the curriculum to find ways of motivating learners in the study of circle geometry and enhancing their performance but not much has been realized. The use of technology or cooperative learning approaches for the teaching of geometry is beneficial for pedagogical purposes, particularly for improving learners’ performance in geometry. Hence, this study investigated the impact of using technology through cooperative learning on learners’ performance on grade circle 11 geometry. It was thus an attempt to focus on blending these two teaching methods with an emphasis on the use of technology. The research took place at a Khayelitsha school and the scope of technology was limited to using a mathematical computer programme called Heymath.
Implementing an intentional teaching model to investigate grade 9 learners’ ways of working with rational algebraic fractions
(University of the Western Cape, 2019) Maphini, Nwabisa Vivian; Mbekwa, Monde; Julie, Cyril
In South Africa it is widely known that most learners struggle with mathematics. The results for mathematics are poor. The department of basic education offers a number of intervention programmes to assist learners in mathematics but the problem still persists. Algebra is the most basic and important topic in mathematics as it becomes an element in almost all the other topics in mathematics curriculum. Algebraic fractions in particular are a challenge for most leaners. Research shows that learners commit a number of errors when they work with algebraic fractions. The study investigated the implementation of an intentional teaching model into grade 9 mathematics learners’ ways of working with rational algebraic fractions. An intentional teaching model is a teaching strategy which emphasizes teaching intentions or teaching objectives are brought to the fore during a lesson, the model emphasizes the use of spiral revision and assessment for learning. Ways of working in this study refers to the way in which learners deal with algebraic fractions when they simplify them including the errors they commit from the misconceptions they have about aspects of working with fractions. The study was conducted in a group of grade 9 mathematics learners at Gugulethu High school, which is located in Guguletu, a township in the Western Cape Province of South Africa. The study is premised on a qualitative research paradigm which focuses on studying situations in their natural settings and applying an interpretive perspective. Data was collected by means of observation and video recording of lessons while learners were engaged in working with algebraic fractions. Learners’ written work was analysed as part of the data collection. The results of the study show that leaners commit a number of errors when they manipulate algebraic fractions. Among other errors are: (i) Cancellation errors which had the highest frequency of occurrence (ii) Defractionalisation (iii) No recognition of the common factor and (iv)Exponential laws error. It was found that the learners’ ways of working with algebraic fractions are mostly characterised by their misunderstanding of exponential laws and difficulty in working with fractions needing the use of factorisation to simplify and find the lowest or highest common denominator during addition or subtraction. The results of the study also reveal that learners struggle to articulate extensively or in detail what they are actually doing as they simplify rational algebraic fraction.
Implementing an intentional teaching model to investigate the algebraic reasoning of grade 9 mathematics learners
(University of the Western Cape, 2019) Davids, Jade Ethel; Mbekwa, Monde
This research has employed an intentional teaching model to investigate the algebraic reasoning of grade 9 learners from a low socio-economic background. It has also sought to study how learners engage with algebra to make generalizations and to scrutinize any misconceptions deriving from the experience. They looked for patterns, paid attention to aspects of the patterns that are important and then generalized from familiar to unfamiliar situations. Algebraic reasoning underpins all mathematical thinking including arithmetic because it allows us to explore the structure of mathematics. This study is based on the Curriculum and Assessment Policy Statement which states that learners are expected to investigate patterns to establish the relationships between variables, as well as represent and analyse the change of patterns. The study also had a huge emphasis on algebra. According to Mphuthi & Machaba (2016): “Algebraic expressions form part of the senior phase CAPS curriculum in South Africa. A substantial amount of time is allocated to this section on evaluating expressions and simplifications of algebraic expressions in grade 7-9.” The study is premised on a qualitative research paradigm and a design-based research methodology for data collection. A set of tasks based on algebraic patterns and generalizations was given to an opportunistic sample of 20 grade 9 learners in a school in Delft, a low socio-economic suburb about 30 kilometres from Cape Town in the Western Cape Province of South Africa. Three weeks after completing the tasks, learners were interviewed to identify their reasoning and how they felt about the tasks. The results of the study show that the majority of the learners struggled with tasks especially when asked what the rules they could derive from the patterns. Learners did not seem to understand what they were doing because they were unable to articulate the given tasks in words and did not have knowledge of concepts like the perimeter.
Using Dialogical Argumentation instruction model on grade 6 learners' understanding of the cause of the phases of the moon
(University of the Western Cape, 2017) Magaseti, Andrew Onyambu; Fakudze, Cynthia
The aim of this study was to explore ways in which a dialogical argumentation instruction model (DAIM) could be used to assist and enhance grade 6 learners' understanding of the causes of the phases of the moon. The study was underpinned by Toulmin's 1958 Argumentation Pattern (TAP) and Ogunniyi's 2007 a & b Contiguity Argumentation Theory (CAT) It was a case study that was carried out in a primary school in Cape Town, South Africa and a sample of thirty - five grade six learners participated. Data were collected using multiple data collection instruments including the pre- and post-achievement tests for grade 6 on the causes of the phases of the moon, an audio-taped interview schedule, focus group interview schedule, field observation schedule and classroom observation notes, all based on grade 6 learners' conceptions of the causes of the phases of the moon. Data were analysed quantitatively and qualitatively. The findings of the study were as follows: Firstly, before DAIM, grade 6 learners held conceptions that; rain, clouds, seasons, day and night, and shadows from the planets, the stars and the sun were the causes of the phases of the moon.. Some of these conceptions arose from the learners' own science viewpoints and others from their indigenous perspectives. These conceptions were all not consistent with laws and principles of science because they were not the causes of the phases of the moon. However, after DAIM, grade 6 learners held the view that the light from the sun and the revolution of the moon round the earth were the causes of the phases of the moon. This indicates that there was a shift from the learners' pre DAIM to post DAIM thinking.
An analysis of Grade 12 national examinations marking memoranda on the topic of measurement in Mathematical Literacy using a mathematical modelling framework.
(University of the Western Cape, 2017) Bali, Mbulelo; Mbekwa, M.
The research study conducted an in-depth analysis of the national marking memoranda on the topic of measurement in Mathematical Literacy. The object of analysis was the grade 12 national examinations. The purpose of Mathematical Literacy, according to the Department of Basic Education (DBE), is to equip learners with competencies that will enable them to use elementary mathematical concepts and skills to make sense of, participate in and contribute to the twenty-first century world characterised by numbers, numerically based arguments and data represented and misrepresented in a number of ways. With such competencies learners will in future become responsible individuals, contributing workers and participative critical citizens on social and political issues.
Exploring the effect of a Dialogical Argumentation Instructional Model in enhancing grade two learners' understanding of the day and night cycle
(University of the Western Cape, 2016) February, Florence; Fakudze, C.; Ogunniyi, Meshach B.
Over the last 15 years the Department of Education has rolled out various projects in an attempt to improve Mathematics and Science results and to increase the amount of learners who exit their schooling with those subjects. The 2010 - 2014 matric results show a decrease in the number of students who exiting with Science. One of the factors that might influence the learners' decision to do science can be ascribed to the methodologies that the teachers are using to teach Science. In response to the latter, this study investigated the cognitive shifts of grade two learners' conceptual knowledge of the day and night cycle after being exposed to a Dialogical Argumentation Based Instructional Model. The Contiguity Argumentation Theory (CAT) and Toulmin's Argumentation Pattern (TAP) were used as a framework to capture and interrogate learners' arguments with argumentation frames developed to categorize the learners’ argument responses. Analytical approaches were used to assess learners' argumentation skills along four stages namely intra-argumentation, inter-argumentation, whole class discussion and trans-argumentation. The study employed both quantitative and qualitative methods. The data was collected from grade 2 learners in a primary school in Cape Town, Western Cape Province in the form of a pre-post questionnaire, focus group interviews and classroom observation. The major findings of this study indicated that ● The Dialogical Argumentation Instructional model can assist learners to develop argumentative skills. ● The grade two learners in this study had alternative conceptions regarding the day and night cycle which is not scientifically valid. ● The views that learners hold are egocentric. ● DAIM is an effective teaching strategy to help learners to eliminate the misconceptions This study has shown that the Dialogical Argumentation Instructional Model (DAIM) seems to be effective in enhancing the learners’ understanding of the day and night cycle.
A case study of how learners apply a Grade 10 study skills module in a mathematics class
(University of the Western Cape, 2016) Arnold, Feeroezah; Julie, C.; Mbekwa, Monde
A qualitative case study was used to investigate how learners apply a study skills guide during the teaching of mathematics content in a Grade 10 class. A great amount of research and money is continually spent focussing on improving mathematics performance throughout the world. Performance of our learners in South Africa is of concern to the government as well as educators. Researchers agree that many learners lack effective study skills, which is the reason for their poor performance in mathematics. This study intended to infuse study skills in mathematics lessons as an intervention. The study skills intervention sessions were done over a period of 6 weeks. These study skills were infused in topics of the mathematics curriculum which was done in the previous quarter of the school program. Data was collected through interviews, journal entries and a questionnaire. The interviews were done before study skills instruction while the questionnaire was administered after completion of the sessions. Journal entries were completed during the 6 week instruction period by learners. It was found that some learners used the study guide as intended whilst others did not. Furthermore there was improvement in learners' scores for the topics focused on at the end of the study compared to the scores for similar topics in a school-based test written about two months before the intervention. It is concluded that the infusion of study skills in lessons has the potential for improving achievement in high-stakes mathematics examinations.
Effects of a dialogical argumentation instructional model on science teachers’ understanding of capacitors in selected Western Cape schools
(University of the Western Cape, 2015) Goodman, Lynn; Fakudze, C.; Ogunniyi, Meshach B.
This study investigated 1) the conceptions on capacitors held by a group teachers in the Western Cape; 2) the effect of a dialogical argumentation instructional model on the teachers’ conceptions on the capacitor; and 3) the teachers’ perceptions on the implementation of this instructional model. The theoretical framework of the study was based on Toulmin’s Argumentation Pattern (TAP) and Ogunniyi’s Contiguity Argumentation Theory (CAT). The objective was to retrain science teachers in their awareness and understanding of the Nature of Science and Indigenous Knowledge Systems thereby enhancing their ability and efficacy in integrating science and Indigenous Knowledge Systems. The study involved workshop activities that included the teachers’ Reflective Diary, interview sessions, and video-taped lesson observations. The study adopted a Case Study approach and the data was analysed both quantitatively and qualitatively. The findings of the study showed that: 1) the teachers held varying conceptions of the capacitor; 2) the teachers’ conceptions of the capacitor improved after being exposed to the Dialogical Argumentation Instructional Model and 3) the teachers were dominantly in favour of the Dialogical Argumentation Instruction Model as a teaching method to be introduced at schools. The implications of the findings for school science and pedagogy were highlighted for closer observation.
Investigating the impact of an intervention programme in a Grade 11 mathematics class : a case study
(University of the Western Cape, 2015) Mnqwazi, Xabiso Priceless; Julie, Cyril; Mbekwa, Monde
The general performance of learners in mathematics in most secondary schools in South Africa is not encouraging. Statistics reveal that there is a general poor performance in mathematics and related science subjects especially in those schools located in previously disadvantaged communities. There is just a need for appropriate interventions of the significance of mathematics in present society which is now characterised by high information and technology thrust. The objective of the study was to investigate the impact of the tutorial intervention programme on the performance of a grade eleven mathematics class with a view to improving the mathematics performance of these grade 11 learners. The selection of the action research based method was premised on the idea that it would help the researcher to improve his tutoring practice as well as contributing to better learner performance. Data was collected through the use of qualitative research methods. These involved observation, the utilisation of focus group discussions of learners, and in-depth interviews with randomly selected learners and other mathematics colleagues. A careful mix of learners of different learning abilities was made so that high performers would assist those whose performance was lower. In each group of five at least two high performers were included. Findings of the study point to the effectiveness of the tutorial process, justifying its adoption on a long term basis. In general, it can be concluded that the tutoring strategies used by the researcher had a positive effect on the knowledge retention of the learners. This conclusion was arrived at from an observation of improved test results over time, the learners‟ views in the questionnaires as well as those of peer observers.
Investigation of learners’ ways of working with algebraic graphs in high-stakes mathematics examinations
(University of the Western Cape, 2015-11) Lumbala, Paul Desire Mutombo; Julie, C; Mbekwa, Monde
Algebraic graphs are a difficult topic for most secondary school mathematics learners. My experience as a Mathematics teacher in the Further Education and Training Phase (FET) is that learners solve problems involving graphs with difficulty. Consequently, the purpose of this research was to investigate learners’ ways of working with algebraic graphs in high-stakes examinations including their errors and misconceptions in this respect. The investigation carried out to identify learners’ errors and misconceptions is based on the analysis of 444 scripts from the 2012 grade 12 final Mathematics examination. More specifically, the study aimed to investigate the ways learners used to solve questions related to graphs in this examination. The focus of the study was the algebraic graphs tested in Paper 1 of the National Senior Certificate (NSC) examination with an emphasis on the identification of errors exhibited in the learners’ scripts. The study adopted a qualitative approach using documentary analysis methodology. As data, the study used the scripts of the final grade 12 Mathematics examinations of schools participating in a project for the improvement of Mathematics based at the University of the Western Cape (UWC). The analysis of learners’ scripts reveals that learners make many errors when they work with algebraic graphs. These errors that have been found in this investigation were coordinate, intercept, domain and range, asymptote, identification, drawing and function errors. Additional errors which were identified are transformation and inverse errors.
Investigating pre-service natural science teachers’ perceptions of earth in space through spatial modelling and argumentation
(University of the Western Cape, 2014) Mushaikwa, Ngonidzashe; Ogunniyi, Meshach B.
This study involves a group of pre-service teachers who are specialising in Science and Mathematics education at a university in the Western Cape province of South Africa. The aim of the study was to investigate perceptions about the earth in space held by the pre-service natural science teachers. A related aim was to create awareness among the prospective teachers about various views that people hold about the earth as against the scientifically valid view (Govender, 2009, Plummer & Zahm, 2010, Schneps & Sadler, 1989). To determine and improve the prospective teachers’ perceptions and awareness about the significance of the earth in space the study adopted the dialogical argumentation model (DAIM) and spatial modelling as a theoretical framework (Ogunniyi, 2013).Further, the study used pre- and post-test data based on the responses of the pre-service teachers to questionnaires, focus group interviews and reflective diaries. The data set was analysed using a mixed methods approach (qualitative and quantitative).Results from the study show that most the pre-service teachers involved in the study hold both scientific and alternative conceptions about the earth in space. However, they seem to suppress the latter because they believe them to be unscientific. In addition they believe that their role is to impart scientific knowledge to learners. As has been revealed in a number of studies, some of the prospective teachers did not have much background in geography.
The development of the number concept in Grade R: a case study of a school in the Wellington area
(University of the Western Cape, 2014) Le Grange, Lynn Louise; Hartley, M S
Systemic evaluation undertaken by the Department of Basic Education as part of the Literacy and Numeracy Strategy 2006 – 2016 posed a serious challenge in South African schools. The numeracy and mathematics results in 2009 stated that 35% of learners in Grade 3 achieved the required level of competence in Mathematics. This has, however, improved to 48.3% in 2010 but dropped to 47.6% in 2011. The development of early number concept in countries such as the Netherlands, Singapore and Helsinki has shown that early intervention is essential for reaching mathematical success in schooling. The Curriculum and Assessment Policy Statement (CAPS) integrates the three learning programmes: Literacy, Numeracy and Life Skills for Grade R into a daily programme of activities. Within this daily programme it specifies that 35% of each day must be used towards Numeracy. The Grade R method of teaching emphasizes the fact that teaching must take place informally but planned formally. The purpose of this study is to examine how early mathematics is taught in an integrated and informal setting to improve number concept. The theoretical framework underpinning this study is based on the constructivist views of Piaget and Vygotsky and how these theories lay the foundation for the development of number concept in Grade R. Number skills to develop number concept were identified in nine lessons to underpin the content area 1, Numbers, Operations and Relationships as determined by the Grade R Mathematics Curriculum and Assessment Policy Statement (CAPS). The methodology employed to answer the research question were video-recordings, observations and interviews. The findings identified number skills such as emergent number concepts: distinguishing numerosity, imitating resultative counting and symbolizing by using fingers as well as growing number concepts: discovering different meanings of numbers, oral counting, one- to- one correspondence, rote counting, perceptual subitising, resultative counting, representing and symbolizing numbers, ordinality, place value, emergent object-based counting and calculating and golden moments. The discussion of the findings focused on the CAPS content area and how these number skills were used to achieve the demands of the content area 1. The major findings of this study presented a case of the utilization of number skills to achieve the development of number concept in Grade R, how mathematics should be made fun, and how incidental learning, “golden moments” can be used to introduce key mathematical concepts informally. This study has implications for teachers of Grade R and for the training of pre-service Grade R teachers at tertiary level.
Effects of dialogical argumentation instruction on grade 10 learners’ understanding of concepts of chemical equations
(University of the Western Cape, 2014) George, Frikkie; Ogunniyi, Meshach B.
This study explored the dialogical argumentation instruction approach to determine whether it enhanced grade ten learners‟ understanding of the chemical equation concept. Toulmin‟s argumentation pattern and the contiguity argumentation theory underpin this study and was used to construct the dialogical argumentation instruction methodology, which was used as the intervention strategy. Information and communication technology and computer-assisted learning were used as contextual environment for this study. This study is located in the interpretive paradigm and the data was collected and analysed using both qualitative and quantitative methods based on a quasi-experimental research design model. A survey questionnaire, open-end and fixed choice questionnaires and a chemistry achievement test was used to collect data from a high school in the Western Cape Province
Effects of a dialogical argumentation based instruction on grade 9 learners’ conceptions of a meteorological concept: cold fronts in the Western Cape, South Africa
(University of Western Cape, 2012) Riffel, Alvin Daniel; Ogunniyi, M.B.
This study looks at the effects of a dialogical argumentation instructional model (DAIM) on grade 9 learners understanding of selected meteorological concepts: Cold fronts in the Western Cape of South Africa. Using a quasi-experimental research design model, the study employed both quantitative and qualitative (so-called ‘mixed methods’) to collect data in a public secondary school in Cape Town, in the Western Cape Province. A survey questionnaire on attitudes and perceptions towards high school as well as conceptions of weather was administered before the main study to give the researcher baseline information and to develop pilot instruments to use in the main study. The study employed a dialogical instructional model (DAIM) with an experimental group of learners exposed to the intervention, and recorded differences from a control group which had no intervention. Learners from the two groups were exposed to a meteorological literacy test evaluation before and after the DAIM intervention. The results from the two groups were then compared and analysed according to the two theoretical frameworks that underpin the study namely: Toulmin’s Argumentation Pattern - TAP (Toulmin, 1958) and Contiguity Argumentation Theory - CAT (Ogunniyi, 1997). Further analyses were conducted on learners’ beliefs and indigenous knowledge, according to their conceptual understanding of weather related concepts used in the current NCS (National Curriculum Statement). After completing the study some interesting findings were made and based on these findings certain recommendations were suggested on how to implement a DAIM-model into classroom teaching using Indigenous Knowledge (IK). These recommendations are suggestions to plot the way towards developing a science–IK curriculum for the Natural Sciences subjects in South African schools.

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