Summaries and keywords in English and Afrikaans / John Henry Newman maak in sy outobiografiese geskrifte 'n aantal belangrike verwysings na sy toewyding aan Johannes Chrysostomos. Is dit bloot 'n kwessie van vroomheid, of dui dit op 'n dieper verband met die punt dat Newman in sy eie teologiese begrip, geestelike insig en pastorale praktyk deur Chrysostomos beïnvloed word? Hierdie proefskrif poog om te toon dat die besonderse voorbereiding van Newman vir die lees van die Kerkvaders, en in besonder, sy omvattende begrip van Grieks, hom van jongs af tot 'n verdieping in die patristiese denke georiënteer het, 'n feit wat hoofsaaklik deur sy Briewe en Dagboeke getoon word. Die aanhaling van Chrysostomos as 'n teologiese gesag, in Newman se leerstellige geskrifte en in sy gepubliseerde prediking, word toenemend duidelik en demonstreer wat beskou kan word as teologiese eienskappe wat die twee teoloë gemeen het. In Newman se geestelike begeleiding, veral in sy geestelike bystand en begeleiding van vroue, blyk daar 'n korrelasie te wees met raad wat Chrysostomos in soortgelyke omstandighede gegee het. In hierdie studie word dit ondersoek in 'n vergelyking van die briewe van Chrysostomos aan Olympias, en die korrespondensie van Newman met Maria Giberne. Behalwe enkele teologiese ooreenkomste en invloede, eksplisiet sowel as implisiet, is daar bewyse dat Newman iemand baie soortgelyk aan homself in Chrysostomos gesien het: 'n diep teologiese denker wat as gevolg van sy prediking prominent geword het en aansienlike institusionele weerstand op 'n diep persoonlike manier weerstaan het, en ‘n aansienlike mate van verlies as gevolg van sy oortuiging gely het, en tog onbelemmerd in sy getrouheid aan wat hy as sy missie verstaan het, gebly het, as priester,teoloog, leraar en predikant. / John Henry Newman makes a number of significant references in his autobiographical writings to his devotion to John Chrysostom. Is this simply a matter of piety, or does it reveal a deeper connection to the point that Newman is influenced in his own theological understanding, spiritual insight, and pastoral practice by Chrysostom? This thesis attempts to demonstrate that Newman’s very particular preparation for reading the Fathers, and in particular, his comprehensive grasp of Greek, orientated him, from an early age, towards an immersion in Patristic thought, a fact largely demonstrated by his Letters and Diaries. Citation of Chrysostom as a theological authority, in Newman’s doctrinal writings, and in his published preaching, becomes increasingly evident, and demonstrates what might be considered theological characteristics the two theologians hold in common. In Newman’s spiritual direction, particularly in his spiritual accompaniment and guidance of women, there appears to be a correlation with advice given by Chrysostom in similar circumstances; in the present study this is treated in a comparison of the letters of Chrysostom to Olympias, and Newman’s correspondence with Maria Giberne. Beyond any theological similarities, and influences both explicit and implicit, there is evidence that Newman saw in Chrysostom someone very similar to himself: a profound theological thinker, who rose to prominence as a result of his preaching, and who met with serious institutional opposition expressed in a deeply personal way, suffered a considerable amount of loss as a result of holding to his convictions, and yet remained undeterred in his fidelity to what he understood to be his mission, as a priest, a theologian, a teacher and a pastor. / New Testament / D. Litt. et Phil. (Biblical Studies)

Optimistiese self-evaluasies oor die vermoë om take uit te voer is belangrik vir sukses in verskeie aspekte van menswees. Wanneer mense sulke self-evaluasies doen en selfdoeltreffendheids-persepsies vorm maak hulle van inligting uit verskeie bronne gebruik. Volgens teorieë wat spesifiek verband hou met self-evaluasie is mense tydens die vorming van sulke persepsies omtrent die self veral afhanklik van inligting bekom deur sosiale vergelyking. Hierteenoor beklemtoon teorieë wat meer met selfdoeltreffendheid verband hou, die belangrikheid van self-verwysende inligting soos gevorm tydens prestasie-ervarings. Die doel met hierdie navorsing is om die ordening van die bronne van inligting, wat tydens die vorming van selfdoeltreffendheids-persepsies gebruik word, te ondersoek. Die resultate sal bydra om belangrike vrae te beantwoord oor die voorbereiding van mense vir die uitvoering van uitdagende take. In 'n eksperiment (N=1 723) wat op 'n Solomon-vier-groep-ontwerp geskoei is, is drie vorme van inligting wat persepsies kan beïnvloed aan drie eksperimentele groepe verskaf terwyl daar vyf kontrolegroepe was. Die effek van die ingrepe is met 'n vraelys gemeet. Die resultate toon dat selfdoeltreffendheidspersepsies meer deur selfverwysende inligting as deur sosiale vergelykings-inligting beïnvloed word. Dit is ook bevind dat die verskaffing van addisionele inligting nie 'n kumulatiewe effek tydens die vorming van selfdoeltreffendheidspersepsies het nie. Die implikasies van die resultate ten opsigte van die praktyk en teoretiese beskouinge is in die laaste instansie bespreek. / Optimistic self-evaluation regarding the ability to cany out tasks is important for success in various fields ofhuman endeavour. When people do such self-evaluations and fmm self-efficacy perceptions, they make use of information from various sources. According to theories related to self-evaluation, people engaged in forming such perceptions about themselves largely depend on information gained through social comparison. However, theories of self-efficacy emphasize the importance of self-referenced information, such as those formed through enactive attainments. The purpose of this research is to examine the collation of sources of information used in forming self-efficacy perceptions. The results will help to answer important questions about preparing people to perform challenging tasks. In an experiment (N=l 723) modelled on the Solomon Four Group Design, three types of information likely to influence perceptions were supplied to three experimental groups, while there were five control groups. The effects of the interventions were measured by means of a questionnaire. Results confirmed that perceptions of self-efficacy are more profoundly influenced by self-referenced information than by social comparisons. It was also found that additional information did not have a cumulative effect dming the forming of self -efficacy perceptions. The implications of the results with respect to practical and theoretical viewpoints are discussed in the final instance. / Psychology / D.Litt. et Phil. (Sielkunde)

This study focusses on modelling important aspects of the evolution of pulsar wind nebulae using two different approaches. The first uses a hydrodynamic model to simulate the morphological evolution of a spherically-symmetric composite supernova remnant that is expanding into a homogeneous interstellar medium. In order to extend this model, a magnetic field is included in a kinematic fashion, implying that the reaction of the fluid on the magnetic field is taken into account, while neglecting any counter-reaction of the field on the fluid. This approach is valid provided that the ratio of electromagnetic to particle energy in the nebula is small, or equivalently, for a large plasma β environment. This model therefore allows one to not only calculate the evolution of the convection velocity but also, for example, the evolution of the average magnetic field. The second part of this study focusses on calculating the evolution of the energy spectra of the particles in the nebula using a number of particle evolution models. The first of these is a spatially independent temporal evolution model, similar to the models that can be found in the literature. While spatially independent models are useful, a large part of this study is devoted to developing spatially dependent models based on the Fokker-Planck transport equation. Two such models are developed, the first being a spherically-symmetric model that includes the processes of convection, diffusion, adiabatic losses, as well as the non-thermal energy loss processes of synchrotron radiation and inverse Compton scattering. As the magnetic field geometry can lead to the additional transport process of drift, the previous model is extended to an axisymmetric geometry, thereby allowing one to also include this process. / PhD (Space Physics), North-West University, Potchefstroom Campus, 2014

This study focusses on modelling important aspects of the evolution of pulsar wind nebulae using two different approaches. The first uses a hydrodynamic model to simulate the morphological evolution of a spherically-symmetric composite supernova remnant that is expanding into a homogeneous interstellar medium. In order to extend this model, a magnetic field is included in a kinematic fashion, implying that the reaction of the fluid on the magnetic field is taken into account, while neglecting any counter-reaction of the field on the fluid. This approach is valid provided that the ratio of electromagnetic to particle energy in the nebula is small, or equivalently, for a large plasma β environment. This model therefore allows one to not only calculate the evolution of the convection velocity but also, for example, the evolution of the average magnetic field. The second part of this study focusses on calculating the evolution of the energy spectra of the particles in the nebula using a number of particle evolution models. The first of these is a spatially independent temporal evolution model, similar to the models that can be found in the literature. While spatially independent models are useful, a large part of this study is devoted to developing spatially dependent models based on the Fokker-Planck transport equation. Two such models are developed, the first being a spherically-symmetric model that includes the processes of convection, diffusion, adiabatic losses, as well as the non-thermal energy loss processes of synchrotron radiation and inverse Compton scattering. As the magnetic field geometry can lead to the additional transport process of drift, the previous model is extended to an axisymmetric geometry, thereby allowing one to also include this process. / PhD (Space Physics), North-West University, Potchefstroom Campus, 2014

Optimistiese self-evaluasies oor die vermoë om take uit te voer is belangrik vir sukses in verskeie aspekte van menswees. Wanneer mense sulke self-evaluasies doen en selfdoeltreffendheids-persepsies vorm maak hulle van inligting uit verskeie bronne gebruik. Volgens teorieë wat spesifiek verband hou met self-evaluasie is mense tydens die vorming van sulke persepsies omtrent die self veral afhanklik van inligting bekom deur sosiale vergelyking. Hierteenoor beklemtoon teorieë wat meer met selfdoeltreffendheid verband hou, die belangrikheid van self-verwysende inligting soos gevorm tydens prestasie-ervarings. Die doel met hierdie navorsing is om die ordening van die bronne van inligting, wat tydens die vorming van selfdoeltreffendheids-persepsies gebruik word, te ondersoek. Die resultate sal bydra om belangrike vrae te beantwoord oor die voorbereiding van mense vir die uitvoering van uitdagende take. In 'n eksperiment (N=1 723) wat op 'n Solomon-vier-groep-ontwerp geskoei is, is drie vorme van inligting wat persepsies kan beïnvloed aan drie eksperimentele groepe verskaf terwyl daar vyf kontrolegroepe was. Die effek van die ingrepe is met 'n vraelys gemeet. Die resultate toon dat selfdoeltreffendheidspersepsies meer deur selfverwysende inligting as deur sosiale vergelykings-inligting beïnvloed word. Dit is ook bevind dat die verskaffing van addisionele inligting nie 'n kumulatiewe effek tydens die vorming van selfdoeltreffendheidspersepsies het nie. Die implikasies van die resultate ten opsigte van die praktyk en teoretiese beskouinge is in die laaste instansie bespreek. / Optimistic self-evaluation regarding the ability to cany out tasks is important for success in various fields ofhuman endeavour. When people do such self-evaluations and fmm self-efficacy perceptions, they make use of information from various sources. According to theories related to self-evaluation, people engaged in forming such perceptions about themselves largely depend on information gained through social comparison. However, theories of self-efficacy emphasize the importance of self-referenced information, such as those formed through enactive attainments. The purpose of this research is to examine the collation of sources of information used in forming self-efficacy perceptions. The results will help to answer important questions about preparing people to perform challenging tasks. In an experiment (N=l 723) modelled on the Solomon Four Group Design, three types of information likely to influence perceptions were supplied to three experimental groups, while there were five control groups. The effects of the interventions were measured by means of a questionnaire. Results confirmed that perceptions of self-efficacy are more profoundly influenced by self-referenced information than by social comparisons. It was also found that additional information did not have a cumulative effect dming the forming of self -efficacy perceptions. The implications of the results with respect to practical and theoretical viewpoints are discussed in the final instance. / Psychology / D.Litt. et Phil. (Sielkunde)

The composer Stefans Grové not only contributed to South African art music but also achieved success in the field of literature. The aim of this study is to investigate the relationship between his prose and his music and determine the influence of word art on meaning in his compositions. The relationship between literature and music is explored as background to the investigation of Grové’s oeuvre. The role of music in Grové’s short stories and sketches is determined. It seems that music is not a significant theme of these tales but rather has a supporting function. In some stories music plays no role at all. However, these narratives do provide a great deal of biographical and cultural information. Word art is an essential part of Grové’s compositions and plays a key role in the determining and communication of meaning. His art reflects the variety of cultures native to South Africa. These cultural influences are manifested in his compositions and are reinforced by the accompanying word art. The need for a comprehensive biography about Grové’s contribution as academic, composer, critic and writer has been identified during the course of this study. / Dissertation (MMus (Music Science))--University of Pretoria, 2007. / Music / MMus / unrestricted

English, Afrikaans and Zulu summaries / Orientation: The study researched physical disability apropos of employment. The attitudes of able-bodied persons towards persons with disabilities (PWD) culminate in the exclusion of the latter from the workplace. Aspects of this topic have been addressed by researchers abroad and in Africa using samples of limited size. Research aim: The general aim of the research was twofold. Firstly, it set out to uncover the causes of exclusion of persons with physical disabilities from employment in the South African open labour market, and secondly, to identify interventions that could assuage this situation. Research methodology: A convergent mixed methods research strategy was adopted, with responses of employers forming the quantitative strand and those of persons with physical disabilities (PWPD) forming the qualitative strand. A customer survey questionnaire was developed and validated for the sample of 342 employers, while interview schedules were used for 312 PWPD. Statistical procedures included factor analysis, chi-square tests and structural equation modelling. Main findings: Meta-inferences were formulated relating to the mixed methods research. The overarching message conveyed discord in respect of several dimensions, between the perceptions of employers, those of persons with physical disabilities and the theory. Employers are receptive to employing persons with disabilities but conflicted about their management, competence and accommodation. They are reportedly unfamiliar with disability matters, and cannot locate qualified candidates, while disability policies are not commonplace. Key national interventions encompass incentives for employers to hire PWD, tax concessions and amendment of the BBBEE scorecard points system. Important interventions at organisational level entail training in disability matters across the board, as well as disability-related policies. At individual level, PWPD need training in job-seeking techniques, effective avenues to secure work, accommodation and assistive technology, and skills. To extend the mixed methods research, industrial sectors were compared and latent constructs sought in separate analyses. Main contributions: Different perspectives gleaned from employers in various sectors, PWPD, disability advocacy organisations and associated groups; expansion of the literature on disability employment; structural equation modelling that produced latent constructs which underlie the causes of exclusion of PWPD from employment and enhance understanding of those aspects with a direct bearing on employers’ receptivity to hiring PWPD. The findings could catalyse national and organisational policy frameworks to promote inclusion in the workplace. Public policy makers could utilise the findings to devise strategies that would motivate employers to hire PWPD. Organisational policies, with practical guidelines, should be formulated relating to recruitment of PWPD and disability training for staff. The different types of disabilities and job categories in which employers would be willing to appoint PWD were ascertained. / Oriëntering: Die studie het ondersoek ingestel na liggaamlike ongeskiktheid ten opsigte van indiensneming. Die houdings van nie-gestremde persone teenoor persone met gestremdhede veroorsaak dat laasgenoemde van die werksplek uitgesluit word. Fasette van hierdie onderwerp is deur navorsers oorsee en in Afrika ondersoek met behulp van steekproewe van beperkte grootte. Navorsingsdoelwit: Die algemene doelwit van die navorsing was tweeledig. Dit het eerstens ten doel gehad om die oorsake van indiensnemingsuitsluiting van persone met liggaamlike gestremdhede in die Suid-Afrikaanse arbeidsmark te bepaal, en tweedens, om ingrypings te identifiseer wat hierdie situasie kan verbeter. Navorsingsmetodologie: ’n Konvergerende gemengdemetode-navorsingstrategie is ingespan, met werkgewers se response as die kwantitatiewe been en dié van persone met liggaamlike gestremdhede, as die kwalitatiewe been. ʼn Kliëntetevredenheidsvraelys is vir die steekproef van 342 werkgewers ontwikkel en geldig verklaar, terwyl onderhoudskedules vir 312 persone met liggaamlike gestremdhede gebruik is. Statistiese prosedures het faktorontleding, chi-kwadraattoetse en strukturele-vergelyking-modellering ingesluit. Belangrikste bevindinge: Meta-inferensies met betrekking tot die gemengdemetode-navorsing is geformuleer. Die oorkoepelende boodskap was een van verdeeldheid oor verskeie dimensies; tussen werkgewers se persepsies, dié van persone met liggaamlike gestremdhede en die teorie. Werkgewers is ontvanklik vir indiensneming van persone met gestremdhede, maar het verskil oor die bestuur, bevoegdheid en akkommodering van sulke persone. Hulle is blykbaar nie bekend met ongeskiktheidsaangeleenthede nie en kan nie gekwalifiseerde kandidate vind terwyl ongeskiktheidsbeleide nie alledaags is nie. Deurslaggewende nasionale ingrypings behels aansporings vir werkgewers om persone met liggaamlike gestremdhede in diens te neem, belastingvergunnings en aanpassing van die BGSEB-telkaartpuntestelsel. Belangrike ingrypings op organisasievlak behels algemene opleiding in ongeskiktheidsake, sowel as beleide oor ongeskiktheidskwessies. Op individuele vlak benodig persone met liggaamlike gestremdhede opleiding in werksoektegnieke, doeltreffende metodes om werk te verseker, akkommodasie en ondersteunende tegnologie, en vaardighede. Om die gemengdemetodes-navorsing uit te brei, is nywerheidsektore vergelyk en latente konsepte in afsonderlike ontledings gesoek. Hoofbydraes: Verskillende perspektiewe wat van werkgewers in verskeie sektore verkry is, persone met liggaamlike gestremdhede, gestremdheidvoorspraakorganisasies en verwante groepe; uitbreiding van die literatuur oor ongeskiktheidsindiensneming; strukturele-vergelyking-modellering wat aanleiding gegee het tot latente konsepte onderliggend tot die oorsake van indiensneminguitsluiting van persone met liggaamlike gestremdhede en bevorderlik vir begrip van daardie aspekte wat ʼn direkte invloed op werkgewers se ontvanklikheid rakende indiensneming van persone met liggaamlike gestremdhede het. Die bevindinge kan nasionale en organisasiebeleidsraamwerke kataliseer om insluiting in die werksplek te bevorder. Openbarebeleidbepalers kan die navorsingsresultate gebruik om strategieë te beraam wat werkgewers sal motiveer om persone met liggaamlike gestremdhede aan te stel. Organisasiebeleide, met praktiese riglyne, moet geformuleer word ten opsigte van werwing van persone met liggaamlike gestremdhede en ongeskiktheidsopleiding vir personeel. Die verskillende soorte gestremdhede en werkskategorieë waar werknemers bereid sal wees om persone met liggaamlike gestremdhede in diens te neem, is vasgestel. / Isimo nokuqondiswe kukho (orientation) Ucwaningo lucwaninge ngokukhubazeka ngomzimba maqondana nokuhambisana nokuqashwa Imibono yabantu abangakhubazekile maqondana nabantu abakhubazekile ngokubizwa ngokuthi yi-persons with disabilities (PWD) ibangela ukuthi abantu abakhubazekile bakhishelwe eceleni maqondana nemisebenzi. Izingxenye zalesi sihloko kubhekwane nazo ngabanye abacwaningi baphesheya kanye nase-Afrka ngokusebenzisa amasampuli amancane. Inhloso yocwaningo: Inhloso enabile yocwaningo ikabili. Okokuqala, ukuthola izimbangela zokukhishelwa eceleni kwabantu abakhubazekile ekuqashweni eNingizimu Afrika nasemakethe evulekile yezemisebenzi, kanti eyesibili, ukuphawula ngezinto ezingabawusizo ukululamisa lesi simo. Imetodoloji (indlela) yocwaningo: Kusetshenziswe isu elihlangene lezindlela zocwaningo okuyi-mixed methods research, kanti izimpendulo zabaqashi zibumbe ingxenye ye-quantitative strand, kanti ezalabo bantu abakhubazekile ngomzimba (PWPD) zona zibumbe ingxenye ye-qualitative strand. Kwenziwe i-survey yamakhastama yase iqinisekiswa ukwenzela isampuli yaqabashi abangu 342, kanti isheduli yama-interview yenziwe kubantu abakhubazekile ngomzimba (PWPD) abangu 312). Inqubo yamastatistiki ibandakanye uhlaziyo lwe-factor analysis, i-chi-square tests kanye ne-structural equation modelling. Okukhulu okutholakele: Isiphetho ngokujulile i-meta-inferences yenziwe maqondana nezindlela ezixubene zocwaningo. Umlayezo omkhulu owaboniswa ukubhimba maqondana nezinto ezehlukene, phakathi kwemibono yabaqashi, kanye nabantu abakhubazekile ngemizimba kanye nethiyori. Abaqashi bazimisele ukuqasha abantu abakhubazekile kodwa banemibono engqubuzanayo ngokuphathwa kwabo, amakhono kanye nokubabonelela. Abanalwazi ngezinto eziphathelene nokukhubazeka, kanti abakwazi ukuthola amakhandideyiti afundele imisebenzi, kanti imigomo ngokukhubazeka ayikho kahle. Okukhulu okumele kwenziwe ukungenela kwizwe lonke kubandakanya izikhuthazi kubaqashi ukuqasha abantu abakhubazekile, izibonelelo ngentela, kanye nokuchitshiyelwa kwenqubo yamaphoyinti e-BBBEE. Ukungenela okubalulekile ezinhlanganweni kubandakanya uqeqesho ngezinto eziphathelene nobukhubazeki kuyo yonke imikhakha kanye nemigomo ehambelana nokukhubazeka. Kumkhakha wabantu ziqu, abantu abakhubazekile ngemizimba badinga uqeqesho ngamathekniki okufuna imisebenzi, imikhakha efanele yokuthola imisebenzi, izibonelelo, kanye namatheknoloji osizo kanye namakhono. Ukunweba izindlela ezehlukene zocwaningo, kwaqhathaniswa amasektha ezimboni, kwasekufunwa ama-latent construct ngohlaziyo olwehlukene. / Industrial and Organisational Psychology / D. Com. (Industrial and Organisational Psychology)

Text in Afrikaans / Die doel van hierdie navorsing was om vas te stel of leerders in Graad R die nodige wiskundige vaardighede deur gestruktureerde spel bemeester het wat as grondslag vir verdere wiskunde-onderrig kan dien. In die literatuurstudie is die verskillende wiskunde konsepte in diepte ondersoek. Daar is ook gefokus op die oordra van wiskunde konsepte aan jong leerders. Verder is daar in die literatuurstudie ondersoek ingestel na die doel, waardes, tipes, ontwikkeling van spel asook spel in die moderne era. Vir die empiriese ondersoek is 103 Graad R-leerders van ses verskillende skole betrek. Daar is gebruik gemaak van ʼn ewekansige steekproef by die skole wat bereid was om aan die studie deel te neem. Die ondersoek het plaasgevind deur die gebruik van die positivistiese kwantitatiewe navorsingsmetode. Daar is gebruik gemaak van vraelyste om te bepaal wat die bemeestering van wiskundige vaardighede by Graad R-leerders is. Gestruktureerde spel is as hulpmiddel gebruik vir die insameling van die navorsingsmateriaal. Die resultate is bekom deur die vraelyste statisties te verwerk. Daar is ook vraelyste aan die onderwysers gegee om meer agtergrond oor hulle onderrigmetodes asook die onderwysers se eie gevoel teenoor en kennis van wiskunde te bekom. Die navorsingsresultate bevestig dat die meerderheid van die Graad R-leerders oor ʼn goeie wiskundige grondslag beskik. Dus is daar deur die studie gevind dat dit belangrik is dat jong kinders baie moet speel om nuwe vaardighede aan te leer, maar ook die geleentheid moet hê om die vaardighede te beoefen. / The purpose of this research was to determine whether learners in Grade R mastered the necessary math skills through structured play that could serve as a basis for further mathematics training. In the literature various math concepts were studied in depth. The main focus was on the transfer of math concepts to young learners. The literature study further focussed on the purpose, values, and types of play, development of play and play in the modern era. An empirical study using random sampling was done using 103 Grade R learners from six different schools who were willing to participate in the study. The study was done using the positivism quantitative research methodology. Questionnaires were used to determine the mastery of mathematical skills by Grade R learners. Structured play was used as a tool to collect the research material. The results were obtained by processing the questionnaires statistically. Questionnaires were also completed by the teachers to confirm their background knowledge, teaching methods as well as to determine the teachers‟ own feelings towards and their knowledge of mathematics. The research results confirm that the majority of Grade R learners have obtained a good math foundation. The study also confirmed that it is important that young children need to play to learn new skills and must have the opportunity to practise the new skills. / Psychology of Education / D. Ed. (Sielkundige Opvoedkunde)

Text in Afrikaans / Die doel van hierdie navorsing was om vas te stel of leerders in Graad R die nodige wiskundige vaardighede deur gestruktureerde spel bemeester het wat as grondslag vir verdere wiskunde-onderrig kan dien. In die literatuurstudie is die verskillende wiskunde konsepte in diepte ondersoek. Daar is ook gefokus op die oordra van wiskunde konsepte aan jong leerders. Verder is daar in die literatuurstudie ondersoek ingestel na die doel, waardes, tipes, ontwikkeling van spel asook spel in die moderne era. Vir die empiriese ondersoek is 103 Graad R-leerders van ses verskillende skole betrek. Daar is gebruik gemaak van ʼn ewekansige steekproef by die skole wat bereid was om aan die studie deel te neem. Die ondersoek het plaasgevind deur die gebruik van die positivistiese kwantitatiewe navorsingsmetode. Daar is gebruik gemaak van vraelyste om te bepaal wat die bemeestering van wiskundige vaardighede by Graad R-leerders is. Gestruktureerde spel is as hulpmiddel gebruik vir die insameling van die navorsingsmateriaal. Die resultate is bekom deur die vraelyste statisties te verwerk. Daar is ook vraelyste aan die onderwysers gegee om meer agtergrond oor hulle onderrigmetodes asook die onderwysers se eie gevoel teenoor en kennis van wiskunde te bekom. Die navorsingsresultate bevestig dat die meerderheid van die Graad R-leerders oor ʼn goeie wiskundige grondslag beskik. Dus is daar deur die studie gevind dat dit belangrik is dat jong kinders baie moet speel om nuwe vaardighede aan te leer, maar ook die geleentheid moet hê om die vaardighede te beoefen. / The purpose of this research was to determine whether learners in Grade R mastered the necessary math skills through structured play that could serve as a basis for further mathematics training. In the literature various math concepts were studied in depth. The main focus was on the transfer of math concepts to young learners. The literature study further focussed on the purpose, values, and types of play, development of play and play in the modern era. An empirical study using random sampling was done using 103 Grade R learners from six different schools who were willing to participate in the study. The study was done using the positivism quantitative research methodology. Questionnaires were used to determine the mastery of mathematical skills by Grade R learners. Structured play was used as a tool to collect the research material. The results were obtained by processing the questionnaires statistically. Questionnaires were also completed by the teachers to confirm their background knowledge, teaching methods as well as to determine the teachers‟ own feelings towards and their knowledge of mathematics. The research results confirm that the majority of Grade R learners have obtained a good math foundation. The study also confirmed that it is important that young children need to play to learn new skills and must have the opportunity to practise the new skills. / Psychology of Education / D. Ed. (Sielkundige Opvoedkunde)