Various researchers have indicated the importance of graphs in physical sciences and the difficulties that learners may experience with graphs. More specifically, learners’ problems with motion graphs have been reported in literature. Learners’ difficulty in the application of basic concepts in graphs to solve kinematics graphs problems leads to underperformance in physical sciences. Their ability to handle problems in kinematics graphs is enhanced if they have an effective knowledge base or conceptual resources on graphs. In South Africa there seems to be a gap between the GET [General Education and Training] and FET [Further Education and Training] band’s requirements on graphs. A smooth learning progression is needed. For this reason this study selected to investigate the conceptual resources acquired by grade 10 learners from grade 9 that can be used productively for the learning of kinematics graphs in grade 10. The primary aim of the study was to determine and analyse grade 10 learners’ conceptual resources for learning kinematics graphs in physical sciences. The use of a mixed method approach was considered appropriate for this study. The mixed method depended on the quantitative method to produce precise and measurable data, while a qualitative method was to enhance the understanding of the data produced by the quantitative method. Data obtained by quantitative methods was drawn into tables and graphs, and the consistency in responses determined. Patterns and trends in learners’ reasoning were probed with the aid of qualitative method. In the study it was reported that the quantitative data in the form of a questionnaire was completed by 201 learners. Qualitative data was also obtained by interviewing three learners with varying abilities. The results showed that many learners could answer mathematics questions, but struggled with similar questions in kinematics. The results further showed that the learners did not answer the questionnaire consistently, but their responses depended on the context of the questions. In the interviews learners used everyday applications to explain scientific concepts, instead of using scientific principles. Still, some of the everyday applications may be used as resources for teaching the science concepts. From the results it can be deduced that learners’ conceptual resources can influence their understanding of kinematics graphs in physics. These resources are gained from everyday experiences and previous learning in mathematics and the natural sciences. A constraint is that many learners do not efficiently integrate their mathematics and physics knowledge. iv In the study some learners did not transfer their mathematics knowledge to physics, while others could not transfer their physics knowledge to mathematics. From the results recommendations can be made for the teaching of graphs in the GET band for easier progress into the FET band. The strategy to improve understanding of kinematics graphs is to progressively integrate mathematics and physics from grade nine. Line graphs should be treated in more detail in grade 9 to form proper conceptual resources for kinematics graphs in grade ten. / MEd (Natural Sciences Education), North-West University, Potchefstroom Campus, 2014

Various researchers have indicated the importance of graphs in physical sciences and the difficulties that learners may experience with graphs. More specifically, learners’ problems with motion graphs have been reported in literature. Learners’ difficulty in the application of basic concepts in graphs to solve kinematics graphs problems leads to underperformance in physical sciences. Their ability to handle problems in kinematics graphs is enhanced if they have an effective knowledge base or conceptual resources on graphs. In South Africa there seems to be a gap between the GET [General Education and Training] and FET [Further Education and Training] band’s requirements on graphs. A smooth learning progression is needed. For this reason this study selected to investigate the conceptual resources acquired by grade 10 learners from grade 9 that can be used productively for the learning of kinematics graphs in grade 10. The primary aim of the study was to determine and analyse grade 10 learners’ conceptual resources for learning kinematics graphs in physical sciences. The use of a mixed method approach was considered appropriate for this study. The mixed method depended on the quantitative method to produce precise and measurable data, while a qualitative method was to enhance the understanding of the data produced by the quantitative method. Data obtained by quantitative methods was drawn into tables and graphs, and the consistency in responses determined. Patterns and trends in learners’ reasoning were probed with the aid of qualitative method. In the study it was reported that the quantitative data in the form of a questionnaire was completed by 201 learners. Qualitative data was also obtained by interviewing three learners with varying abilities. The results showed that many learners could answer mathematics questions, but struggled with similar questions in kinematics. The results further showed that the learners did not answer the questionnaire consistently, but their responses depended on the context of the questions. In the interviews learners used everyday applications to explain scientific concepts, instead of using scientific principles. Still, some of the everyday applications may be used as resources for teaching the science concepts. From the results it can be deduced that learners’ conceptual resources can influence their understanding of kinematics graphs in physics. These resources are gained from everyday experiences and previous learning in mathematics and the natural sciences. A constraint is that many learners do not efficiently integrate their mathematics and physics knowledge. iv In the study some learners did not transfer their mathematics knowledge to physics, while others could not transfer their physics knowledge to mathematics. From the results recommendations can be made for the teaching of graphs in the GET band for easier progress into the FET band. The strategy to improve understanding of kinematics graphs is to progressively integrate mathematics and physics from grade nine. Line graphs should be treated in more detail in grade 9 to form proper conceptual resources for kinematics graphs in grade ten. / MEd (Natural Sciences Education), North-West University, Potchefstroom Campus, 2014

Mathematics achievement has received much attention in recent years and results have been presented after examining results from different counties. This contribution deals with the implementation of new Mathematic promotion requirements in Namibia. The research was conducted in Shambyu circuit, Kavango region, within a selected combined public school situated fifteen kilometres from Rundu in the North-Eastern part of Kavango. Teachers and learners in Namibia have not performed well in the Southern and Eastern Africa Consortium for Monitoring Educational Quality (SACMEQ) projects, especially in Mathematics. The implementation of new promotion requirements was inevitable for improving achievement levels. The main aim of this study is to document the attitudes of teachers and learners towards the introduction of the new 2010 Mathematics promotion requirements. The complexity and the nature of attitudes are illustrated and some of the characteristics related to teaching and learning of Mathematics in the academic reform are presented. The researcher developed a conceptual framework to compare and contrast the theoretical positions on the topic. Attitude is defined from diverse perspectives, and relationships of attitudes pertaining to achievement to perform in Mathematics are argued. A qualitative case study was the preferred method of choice. The participants were sampled according to a non-probability purposive sampling strategy. Five teachers, six grade 7 and six grade 9 learners participated in the study. The participants were interviewed to gain insight into how they formulated their attitudes towards the implementation of the academic reform. Focus group interviews were captured though audio recordings. Patterns, themes and categories emerged from the data analysis, suggesting that teachers and learners demonstrate positive and negative attitudes which affect their stance towards the new promotion requirements. Research findings were compared with the relevant literature to identify strengths and weaknesses as extracted from the attitudes of the participating teachers and learners which confirm that attitudes of teachers and learners interrelate and affect teaching and learning of Mathematics. Strengths and weaknesses extracted from the attitudes of the teachers relate to teaching strategies, pedagogical content knowledge and practical application of the subject. A weakness of the policy change is that the Ministry of Education does not sustain involvement. Teachers need support through workshops to increase their pedagogical content knowledge and gain more information about the implementation of the new policy. Furthermore teachers expect educational support from the Ministry of Education through the provision of textbooks and teaching aids. Collaboration between teachers is crucial, as is the significance thereof for developing pedagogical content knowledge for the implementation of the new Mathematical policy. Strengths and weaknesses extracted from attitudes as viewed by learners in grade 9 are more related to their opinions about the teachers, their motivation and academic achievements. Learners’ natural Mathematics skills should be developed to instill feelings of accomplishment. Grade 9 learners experience fear and insecurity in Mathematics because learners experience teachers as too strict, owing to the absence of pedagogical content knowledge. The grade 9 learners distinguish the importance of ICT use in Mathematics as part of a process to prepare them towards greater goals and practical application as a strength. Both advantages and disadvantages of beliefs regarding Mathematics amongst the teachers and the learners guide grade 7 learner towards achievement. Further expectations drive the grade 7 learners towards achievement in order to increase career opportunities and level of schooling. In conclusion the in-depth qualitative exploration is summarized in order to investigate the phenomenon of attitudes towards Mathematics and academic reform. / Thesis (MEd (Mathematics Education))--North-West University, Potchefstroom Campus, 2013.

Mathematics achievement has received much attention in recent years and results have been presented after examining results from different counties. This contribution deals with the implementation of new Mathematic promotion requirements in Namibia. The research was conducted in Shambyu circuit, Kavango region, within a selected combined public school situated fifteen kilometres from Rundu in the North-Eastern part of Kavango. Teachers and learners in Namibia have not performed well in the Southern and Eastern Africa Consortium for Monitoring Educational Quality (SACMEQ) projects, especially in Mathematics. The implementation of new promotion requirements was inevitable for improving achievement levels. The main aim of this study is to document the attitudes of teachers and learners towards the introduction of the new 2010 Mathematics promotion requirements. The complexity and the nature of attitudes are illustrated and some of the characteristics related to teaching and learning of Mathematics in the academic reform are presented. The researcher developed a conceptual framework to compare and contrast the theoretical positions on the topic. Attitude is defined from diverse perspectives, and relationships of attitudes pertaining to achievement to perform in Mathematics are argued. A qualitative case study was the preferred method of choice. The participants were sampled according to a non-probability purposive sampling strategy. Five teachers, six grade 7 and six grade 9 learners participated in the study. The participants were interviewed to gain insight into how they formulated their attitudes towards the implementation of the academic reform. Focus group interviews were captured though audio recordings. Patterns, themes and categories emerged from the data analysis, suggesting that teachers and learners demonstrate positive and negative attitudes which affect their stance towards the new promotion requirements. Research findings were compared with the relevant literature to identify strengths and weaknesses as extracted from the attitudes of the participating teachers and learners which confirm that attitudes of teachers and learners interrelate and affect teaching and learning of Mathematics. Strengths and weaknesses extracted from the attitudes of the teachers relate to teaching strategies, pedagogical content knowledge and practical application of the subject. A weakness of the policy change is that the Ministry of Education does not sustain involvement. Teachers need support through workshops to increase their pedagogical content knowledge and gain more information about the implementation of the new policy. Furthermore teachers expect educational support from the Ministry of Education through the provision of textbooks and teaching aids. Collaboration between teachers is crucial, as is the significance thereof for developing pedagogical content knowledge for the implementation of the new Mathematical policy. Strengths and weaknesses extracted from attitudes as viewed by learners in grade 9 are more related to their opinions about the teachers, their motivation and academic achievements. Learners’ natural Mathematics skills should be developed to instill feelings of accomplishment. Grade 9 learners experience fear and insecurity in Mathematics because learners experience teachers as too strict, owing to the absence of pedagogical content knowledge. The grade 9 learners distinguish the importance of ICT use in Mathematics as part of a process to prepare them towards greater goals and practical application as a strength. Both advantages and disadvantages of beliefs regarding Mathematics amongst the teachers and the learners guide grade 7 learner towards achievement. Further expectations drive the grade 7 learners towards achievement in order to increase career opportunities and level of schooling. In conclusion the in-depth qualitative exploration is summarized in order to investigate the phenomenon of attitudes towards Mathematics and academic reform. / Thesis (MEd (Mathematics Education))--North-West University, Potchefstroom Campus, 2013.

This study, which explores the challenges of everyday English language words in learning physical sciences in Gauteng-East townships secondary schools highlights the difficulties that learners encounter in learning and developing scientific concepts and vocabulary. The study was conducted in four township secondary schools. A questionnaire consisting of 25 multiple choice items, as well as a semi-structured interview were used to collect data for this study. Descriptive statistics was used to analyse quantitative data while qualitative protocol was used to analyse qualitative data. The overall percentage mean scores of correct responses in the questionnaire for schools W, X, Y and Z were 47.2%, 56.9%, 55.2% and 57.2% respectively, which indicated that participants in the study have limited knowledge of everyday English words, when used in a science context. There was no significant gender discrepancy in terms of performance. In-depth analysis of the results revealed that the underlying difficulties were as a result of participants’ relative levels of proficiency in the English language, lack of precision in the use of this language, misreading, and confusion in terms of the use of words. Furthermore, the results were consistent with earlier findings from other countries as reported by various authors. The findings will contribute to knowledge about effective classroom instruction and teacher education from the perspective of language in science. / Kulolu cwaningo, kuhlolwa izinselelo zokusebenzisa amagama asetshenziswa nsuku zonke welimi lwesiNgisi ekufundeni iSayensi ezikoleni zezinga lesibili, emalokishini wabantu abaNsundu empumalanga neGauteng. Kuvezwa ubunzima obuhlangabezana nezingane zesikole ekufundeni nokuthuthukisa umqondo weSayensi nesilulumagama. Uphenyo lwenziwe ezikoleni ezine zasemalokishini. Imibuzo yayiquketwe izinhla ezingamashumi amabili nanhlanu lapho obuzwayo ezikhethela impendulo ekuyiyo, kanye nesinga nhlolokhono yasetshenziwa ukuthola ulwazi oluningi mayelana nalolu phenyo. Izibalo ezichazayo zisetshenziswe ukuhlola ubuningi, kanye nobuqotho kulandelwa umgudu wocwaningo wolwazi olutholakele. Kuvelile emva kophenyo ukuthi izimpendulo ezishaye emhlolweni ngokwamaphesenti kuzikole W,X.Y kanye no Z ngu 47%, 56,9%, 55.2%, kanye 57.2% ngokulandelana kwazo. Lokhu kubonisa ukuthi, abantwana banolwazi oluncane kakhulu ekusebenziseni amagama wesiNgisi asentsheziswa nsukuzonke ukufunda iSayensi. Kubuye kwatholakala futhi nokuthi awukho umehluko ohlukanisa ngobulili babafundi ophawulekayo ngokusebenza kwamagama esiNgisi. Kuphinde kuvele futhi ngokuhlaziya okunzulu, ukuthi kukhona ukwentuleka kwekhono elimini lesiNgisi, nokuthi abafundi abakwazi ukusebenzisa amagama ngendlela eqondile, babuye bafunde ekungeyikho, kanye nokudideka uma besebenzisa amagama. Okunye futhi okuvelayo, yikuthi lemiphumela ihambisana ncamashi neminye imiphumela evela kwamanye amazwe njengoba kubikwe abalobi abahlukene. Lokhu okuvelayo kuzosiza ukulungisa ukufunda kanye nokuqeqesha othisha, mayelana nukufundisa iSayensi ngolwimi lwesiNgisi. / Hierdie studie, wat die uitdagings van alledaagse Engelstalige woorde in die leer van Fisiese Wetenskappe in sekondêre skole in informele woonbuurte in Gauteng-Oos verken, beklemtoon die uitdagings wat leerders teëkom in die leer en ontwikkeling van wetenskaplike begrippe en taalgebruik. Die studie is uitgevoer in vier sekondêre skole in informele woonbuurte. ‘n Vraelys bestaande uit 25 veelvuldige-keuse items, tesame met ‘n gedeeltelike-gestruktueerde onderhoudskedule, is gebruik om data in te versamel vir hierdie studie. Beskrywende statistiek is gebruik om kwantitatiewe data te ontleed, terwyl kwalitatiewe protokol aangewend is om kwalitatiewe data te ontleed. Die algehele persentasie gemiddeldes van korrekte response op die vraelys vir skole W, X, Y en Z was 47.2%, 56.9%, 55.2% en 57.2% onderskeidelik, wat aangedui het dat die deelnemers aan die studie beperkte kennis gehad het van alledaagse Engelstalige woorde om in ‘n wetenskaplike konteks te gebruik. Geen noemenswaardige geslagsongelykheid in terme van prestasie is bevind nie. Indiepte ontleding van die bevindinge toon dat die onderliggende uitdagings die resultaat van deelnemers se relatiewe vlakke van taalvaardigheid in Engels, ‘n gebrek aan presiesie in die gebruik van die taal, gebrekkige leesvaardigheid en verwarring rondom die gebruik van woorde weerspiëel. Die resultate was verder in lyn met vroeëre bevindinge van ander lande, soos deur verskeie outeurs gerapporteer. Die bevindinge sal bydra tot kennis rondom effektiewe klasonderrig en onderwysersopleiding uit die oogpunt van wetenskaplike taalgebruik. / Science and Technology Education / M. Ed. (Natural Science Education)

Abstracts in English, Afrikaans and Zulu / Worldwide, students compete for a limited number of places at universities. By increasing the use of distance education, more students could have access to tertiary education. The problem addressed in this study related to the challenges faced by an ODL university to assess undergraduate modules in accounting sciences by way of technology-enhanced, non-venue-based alternative assessments, instead of the traditional venue-based examinations. The purpose of the current study was to develop an alternative assessment framework for ODL undergraduate accounting sciences modules as a possible solution to the assessment challenges faced by accounting graduates and universities in an ODL environment. The legitimacy of qualifications was considered by reviewing the identity verification of students and other ethical issues, as well as the influence on the accreditation by professional and other regulatory and governing bodies. Institutional and neo-institutional theories were used within the ODL context as foundational principles. Design-based research was used to develop two conceptual frameworks – one based on the theoretical elements and the other on non-venue-based alternative assessments in the ODL context. The two conceptual frameworks were evaluated using interviews conducted with ODL lecturers and members of professional accounting bodies. Thereafter, the data were analysed using thematic analysis. Triangulation was used as a final evaluation of the conceptual frameworks by analysing comments from students included in reports from an alternative assessment pilot study. The two conceptual frameworks were combined in one final framework. This final framework demonstrates how the institutional theory affects the institution and, specifically, internal issues. Due to the complexity of the ODL institution, external influences (such as technology) result in aspects of the neo-institutional theory becoming even more relevant to the current study. This complexity, together with the mimetic forces of technology and innovation, creates uncertainty. However, it became clear from the data analysis that coercive and normative forces result in ‘more certainty’. The alignment of these isomorphic forces resulted in legitimacy. Due to the importance of technology in the ODL environment, it became clear that technology should be anthropomorphically considered a stakeholder in the ODL institution. The inclusion of stakeholder theory created improved performance and the potential for innovation in order to ensure the legitimacy of qualifications. / Studente ding wêreldwyd mee vir 'n beperkte aantal plekke in universiteite. Indien die gebruik van afstandsonderrig uitgebrei word, kan meer studente toegang tot tersiêre onderwys kry. Die probleem waarop hierdie studie fokus is die uitdagings van 'n OAO-universiteit om voorgraadse modules in rekeningkundige wetenskappe te assesseer deur middel van tegnologies verbeterde, nie-lokaalgebaseerde alternatiewe assesserings in plaas van die tradisionele, lokaalgebaseerde eksamens. Die doel van die huidige studie was om 'n alternatiewe assesseringsraamwerk vir voorgraadse rekeningkundige wetenskapmodules in OAO te ontwikkel as 'n moontlike oplossing vir die assesseringsuitdagings van rekeningkundige gegradueerdes en universiteite in ’n OAO-omgewing. Die geldigheid van kwalifikasies is oorweeg deur 'n oorsig te doen oor die identiteitsverifiëring van studente en ander etiese aangeleenthede, asook die invloed op die akkreditasie deur professionele en ander regulatiewe beheerliggame. Institusionele en neo-institusionele teorieë is in die OAO-konteks as grondbeginsels gebruik. Ontwerpgebaseerde navorsing is gebruik om twee konseptuele raamwerke te ontwikkel – een gebaseer op die teoretiese elemente en die ander op nie-lokaalgebaseerde alternatiewe assesserings in die OAO-konteks. Die twee konseptuele raamwerke is geëvalueer aan die hand van onderhoude met OAO-dosente en lede van professionele rekeningkundige liggame. Hierna is die data deur middel van tematiese analise ontleed. Triangulasie is gebruik as 'n finale evaluering van die konseptuele raamwerke deur die kommentaar van studente wat in verslae van 'n alternatiewe assesseringsvoorstudie ingesluit is, te evalueer. Die twee konseptuele raamwerke is in een finale raamwerk gekombineer. Hierdie finale raamwerk demonstreer hoe die institusionele teorie die instelling en, spesifiek, interne aangeleenthede beïnvloed. As gevolg van die kompleksiteit van die OAO-instelling, veroorsaak eksterne invloede (soos tegnologie) dat die neo-institusionele teorie selfs meer relevant vir die huidige studie word. Hierdie kompleksiteit, tesame met die mimetiese magte van tegnologie en innovasie, skep onsekerheid. Dit is egter duidelik uit die data-analise dat dwang- en normatiewe magte ‘meer sekerheid’ veroorsaak. Die belyning van hierdie isomorfiese magte veroorsaak geldigheid. As gevolg van die belangrikheid van tegnologie in die OAO-omgewing, is dit duidelik dat tegnologie antropomorfies beskou moet word as 'n belanghebber in die OAO-instelling. Die insluiting van die belanghebbende teorie het verbeterde prestasie en die potensiaal vir innovasie tot gevolg gehad, om sodoende die geldigheid van kwalifikasies te verseker. / Emhlabeni wonke, abafundi bazabalazela ukuthola ithuba lokungena kwizindawo ezingamanyuvesi amancane ngenani. Ngokukhulisa izinga lokusetshenziswa kohlelo lokufunda ukude, abafundi abaningi bebangakwazi ukungena emazikweni ezemfundo aphakemeyo. Inkinga exazululwa kulolu cwaningo imayelana nezinselelo ezibhekene nenyuvesi yohlelo lwe-ODL ukuhlola amamojuli asesigabeni seziqu zokuqala kwisayensi ye-accounting ngendlela yoncedo lobuchwepheshe, ngezinye izinhlelo zokuhlola ezingenziwa endaweni eyodwa, kunokusebenzisa uhlelo olwejwayelekile lokuhlolwa okwenziwa endaweni eyodwaethize. Inhloso yocwaningo lwamanje kwaye kungukwakha esinye isakhiwo sokuhlola samamojuli esayensi ye-accounting yeziqu zokuqala, lokhu kwenziwa njengekhambi elingaxazulula izinselelo zokuhlola ezibhekene nabafundi besifundo se-accounting kanye namanyuvesi akusizinda sohlelo lwe-ODL. Udaba lokuba semthethweni kweziqu luye lwabhekwa ngokubuyekeza ukuqinisekiswa kwamagama abafundi kanye nezinye izindaba ezimayelana nemigomo yokuziphatha, kanye nomthelela phezu kokwamukelwa kwamaprofeshinali kanye nezinye izinhlaka eziqinisa umthetho kanye nezinye izinhlaka eziphetheyo. Amathiyori eziko kanye nalawo ohlelo olusha lwamaziko asetshenziswe ngaphakathi kwesizinda se-ODL njengemigomo eyisisekelo. Ucwaningo olususelwa kwidizayini lusetshenziswe ukwakha izinhlaka ezimbili zegama – olunye uhlaka lususelwe kwizinto zethiyori kanye nakwezinye izinhlelo zokuhlola ezingasuselwa ezindaweni ezimile ngaphakathi kwesizinda se-ODL. Izinhlaka ezimbili zezakhiwo ziye zahlolwa ngokusebenzisa izinhlolovo ezenziwa abafundisi be-ODL kanye namalungu wezinhlangano eziprofeshinali zesifundo se-accounting. Ngemuva kwalokho, idatha ihlaziywe ngokusebenzisa uhlelo lokuhlaziya isihloko. Unxantathu wezinhlolovo (triangulation) usetshenziswe njengohlelo lokugcina lokuhlola izakhiwo zegama ngokuhlaziya izimvo ezivela kubafundi ezixutshwe kwimibiko evela ohlelweni lokuhlolwa kwesivivinyo socwaningo.Lezi zakhiwo zamagama ezimbili zihlanganiswe kuhlaka olulodwa lokugcina. Lolu hlaka lwesakhiwo lukhombisa indlela umqondo weziko othinta ngayo iziko, ikakhulu, izinto ezingaphakathi. Ngenxa yengxubevange yeziko elinohlelo lwe-ODL, imithelela evela ngaphandle (enjengobuchwepheshe) idala izinto ezihambelana nomqondo omusha weziko oya ngokuya uhambisane nesifundo samanje socwaningo. Le ngxubevange indawonye nemimoya yobuchwepheshe kanye namaqhinga amasha, kuletha isimo esingenakuqinisekiswa. Yize kunjalo, kuya ngokucaca ukusukela ekuhlaziyweni kwedatha ukuthi imimoya ephoqayo kanye naleyo eyejwayelekile idala isimo esingaziwa. Ukuhambisana kwalawa mandla okudalwe yizinto ezisemthethweni. Ngenxa yokubaluleka kobuchwepheshe kwisizinda se-ODL, kuye kwacaca ukuthi ubuchwepheshe kufanele buthathelwe phezulu njengesidlalindima kwiziko le-ODL. Ukufakwa komqondo womdlalindima kudale umsebenzi omuhle othuthukile kanye namathuba okuveza amaqhinga amasha ukuze kuqinisekiswe isimo sokuqinisekisa iziqu ukuthi zibe semthethweni. / College of Accounting Sciences / D. Phil. (Accounting Sciences)