Text in English with abstracts in English, Afrikaans, Tswana and Tsonga / In a complex world, change is inevitable and wellness in the workplace remains a popular research phenomenon in facilitating employee and organisational productivity. Churches as organisations are not exempt from change dynamics in the world of work. Employees of the church, namely pastors and their well-being are similarly imperative, as they are also responsible for facilitating the well-being of others. Coaching has emerged as a valuable and useful psychological helping process aimed at enhancing employees’ well- being and facilitating their engagement, commitment and productive work behaviour. Mentoring and training are predominant interventions aimed at addressing aspects potentially relevant to pastor well-being in both the Dutch Reformed Church (DRC) and the United Reformed Church of South Africa (URCSA), albeit each with very distinct objectives in terms of calling, and professional and skills development. In light of the current underutilised mentoring programme of the DRC and the sole emphasis on skills training in the URCSA, this study emerged from the need to understand how an in-depth understanding of pastors’ experiences of well-being can contribute to construct a coaching model for professional pastoral caregivers. In order to develop a coaching model to care for and optimise the well-being of the pastors, my multidisciplinary background (stemming from Industrial and Organisational Psychology [IOP], Human Resource Management [HRM] and Theology) increased my curiosity about pastors’ experiences of well-being in a Christian faith-based South African church context. In qualitative research inquiries, investigators creatively use multiple qualitative methods from a pragmatic stance. Hence, in this thesis I used at first two qualitative research methods, namely interactive qualitative analysis (IQA) and narrative synthesis that contributed to a transparent and systematic way to collect analyse, and document the research report. As a third qualitative research method, I used an auto ethnographic reflection writing style to make trustworthy inferences about the research findings and to think about the implications thereof on the rest of the research community. A coaching model was constructed and is proposed as a possible model to care for and optimise the well-being of the pastor (individual employee) and by implication also of a church (non-profit Christian faith-based organisation). This thesis also contributes methodologically to emerging IQA research in a South African work context. Lastly, the thesis contributes to multidisciplinary studies as it integrated theoretical and empirical perspectives from three disciplines, namely IOP, HRM and Theology. / In 'n ingewikkelde wêreld is verandering onvermydelik en welstand in die werksplek bly 'n gewilde navorsingsverskynsel om werknemer- en organisatoriese produktiwiteit te fasiliteer. Kerke as organisasies is nie vrygestel van veranderingsdinamika in die wêreld van werk nie. Kerke se werknemers, naamlik pastore en hul welstand is op soortgelyke wyse noodsaaklik omdat hulle verantwoordelik is om ander se welstand te fasiliteer. Afrigting het as 'n waardevolle en nuttige psigologiese hulpproses ontluik wat daarop gemik is om werknemers se welstand te bevorder en om hul betrokkenheid, toewyding en produktiewe werksgedrag te fasiliteer. Mentorskap en afrigting is oorwegende intervensies wat daarop gemik is om aspekte aan te spreek wat moontlik relevant kan wees tot pastore se welstand in beide die Nederduits Gereformeerde Kerk (NGK) en die Verenigde Gereformeerde Kerk van Suid-Afrika (VGKSA), alhoewel elkeen baie duidelik onderskeibare doelstellings met betrekking tot roeping, en professionele en vaardigheidsontwikkeling het. In die lig van huidige onderbenutting van mentorskapprogramme van die NGK en die uitsluitlike klem op vaardigheidsopleiding in die VGKSA, het hierdie studie ontstaan uit die behoefte om te verstaan hoe 'n diepgaande begrip van pastore se ervaring van welstand tot 'n konstruktiewe afrigtingsmodel vir professionele pastorale versorgers kan bydra. Om 'n afrigtingsmodel te ontwikkel om pastore te versorg en hul welstand te optimeer, het my multidissiplinêre agtergrond (industriële en organisatoriese sielkunde, menslikehulpbronbestuur en teologie) my nuuskierigheid oor pastore se welstand in 'n Christelik-gebaseerde Suid-Afrikaanse kerkkonteks geprikkel. In kwalitatiewe navorsingsvrae, gebruik navorsers meervoudige kwalitatiewe metodes uit 'n pragmatiese standpunt kreatief. In hierdie tesis het ek dus aanvanklik twee kwalitatiewe navorsingsmetodes gebruik, naamlik interaktiewe kwalitatiewe ontleding (IKO) en narratiewe sintese wat bydra om data deursigtig en sistematies te versamel, te ontleed en die navorsingsverslag te dokumenteer. As 'n derde kwalitatiewe navorsingsmetode het ek 'n reflektiewe outo-etnografiese skryfstyl gebruik om betroubare afleidings oor die navorsingsbevindings te maak en om oor die implikasies daarvan op die navorsingsgemeenskap te dink. 'n Afrigtingsmodel is saamgestel en is voorgestel as 'n moontlike model om na pastore (individuele werknemers) om te sien en hul welstand te optimeer en dus ook die van 'n kerk (niewinsgewende organisasie wat op die Christelike geloof gebaseer is). Hierdie tesis dra ook metodologies tot ontluikende IKO-navorsing in 'n Suid-Afrikaanse werkskonteks by. Die tesis dra laastens tot multidissiplinêre studies by omdat dit teoretiese en empiriese perspektiewe van die drie vakgebiede, naamlik industriële en organisatoriese sielkunde, menslikehulpbronbestuur en teologie, integreer. / Mo lefatsheng le le marara, diphetogo di nna di le gona mme itekanelo ya mo tirong e sala go nna ntlha e e tlwaelegileng ya dipatlisiso go gokaganya tlhagiso ya badiri le ya setheo. Dikereke jaaka ditheo ga di a gololesega mo dintlheng tsa diphetogo mo tirong. Badiri ba kereke, e leng baruti, le itekanelo ya bona, ba botlhokwa fela jalo ka ntlha ya fa le bona ba rwele maikarabelo a go ela tlhoko itekanelo ya ba bangwe. Katiso e tlhageletse jaaka tsamaiso ya thuso e e boleng le e e mosola ya saekholoji e maikaelelo a yona e leng go tokafatsa itekanelo ya badiri le go gokaganya seabe sa bona, maitlamo le maitsholo a a mosola mo tirong. Tataiso le katiso ke ditsibogo tse di dirisiwang gantsi tse maikaelelo a tsona e leng go samagana le dintlha tse di maleba mo itekanelong ya baruti mo Kerekeng ya Dutch Reformed (DRC) le ya United Reformed Church of South Africa (URCSA), le fa tsotlhe di na le maitlhomo a a farologaneng go ya ka pitso, tlhabololo ya boporofešenale le bokgoni. Ka ntlha ya lenaneo le ga jaana le sa dirisiweng mo go lekaneng la tataiso la DRC le kgatelelo ya katiso ya bokgoni fela kwa URCSA, thutopatlisiso eno e bakilwe ke tlhokego ya go tlhaloganya ka moo go tlhaloganya go ya kwa botennye ga maitemogelo a baruti a itekanelo go ka tshwaelang ka gona go aga sekao sa katiso sa baruti ba batlhokomedi ba porofešenale. Go aga sekao sa katiso sa go tlhokomela le go oketsa itekanelo ya baruti, lemorago la me la maphatamantsi (go tswa mo Saekholojing ya Madirelo le Ditheo [IOP], Botsamaisi jwa Badiri [HRM] le Thuto ya Bodumedi (Thioloji)) le okeditse phisegelo ya me ya go itse ka maitemogelo a baruti a itekanelo go ya ka bokao jwa kereke ya Aforikaborwa e e theilweng mo tumelong ya Sekeresete. Mo dipotsisong tsa dipatlisiso tse di lebelelang mabaka, babatlisisi ba dirisa mekgwa e mentsi ya patlisiso e e lebelelang mabaka go tswa mo kemong ya dintlha. Ka jalo mo thesising eno ke dirisitse mekgwa ya ntlha e mebedi ya dipatlisiso tse di lebelelang mabaka, e leng tshekatsheko e e lebelelang mabaka ka tshusumetso (IQA) le motswako wa kanelo o o tshwaetseng mo tseleng e e seng bofitlha le e e rulaganeng go kokoanya, sekaseka le go kwala pegelo ya patlisiso. Jaaka mofuta wa boraro wa dipatlisiso tse di lebelelang mabaka, ke dirisitse setaele sa go kwala sa itshekatsheko ya othoetenokerafi go fitlhelela ditshwetso tse di ikanyegang ka ga diphitlhelelo tsa dipatlisiso le go akanya ka bokao jwa tsona mo setšhabeng sotlhe sa dipatlisiso. Go agilwe sekao sa katiso mme se tshitshinngwa jaaka sekao se se ka dirisiwang go tlhokomela le go tokafatsa itekanelo ya moruti (modiri a le mongwe) mme ka go rialo gape le ya kereke (setheo se se sa direng letseno se e theilweng mo tumelong ya Sekeresete). Thesisi eno gape e tshwaela mo ntlheng ya mekgwa mo dipatlisisong tse di tlhagelelang tsa IQA go lebeletswe Aforikaborwa. Kwa bokhutlong, thesisi eno e tshwaela mo dithutopatlisisong tsa maphatamantsi ka ntlha ya fa e kopantse megopolo ya tiori le ya maitemogelo go tswa mo maphateng a le mararo e leng, IOP, HRM le Thioloji. / Eka misava ya nsohensohe, ku cinca i nchumu lowu nga sivelekekiku na swona ku hlayiseka entirhweni swa ha ri nchumu lowu nga duma swinene eka ku endliwa ka rhiseche eka ku pfuneta mutirhi na nhlangano leswo swi tirha hi xiyenge xa vuyelo bya le henhla. Tikereke tani hi minhlangano a yi le handle eka timhaka ta ku cinca emintirhweni. Vatirhi va kereke, ku nga vafundzhisi na vuhlayiseki bya vona na swona i swa nkoka tani hi leswi va nga na vutihlamuleri eka ku tiyisa leswo van'wana va hlayisekile no va na rihanyu lerinene. Ku dzabela swi vonaka tani hi nchumu wa nkoka no pfuneta eka ku pfuneta hi swa ngqondo leswi swi nga na xikongomelo xa ku yisa emahlweni vuhlayiseki bya vatirhi no endla leswo va va eka xiyimo xa ku tirhisana, ku tiyimisela no va na mahanyelo ya ku gingirika emintirhweni na ku tirha hi vuyelo. Ku mentharixa na vuleteri i minchumu leyi endliwaka hi xikongomelo xa ku langutana na rihanyu lerinene ra vafundzhisi va tikereke ta Dutch Reformed Church (DRC) na United Reformed Church of South Africa (URCSA), hambi leswi yin'wana ya tona yi nga na swikongomelo swo hambana hi ku landza xivito, na ku hluvukisiwa ka vuprofexinali na vuswikoti. Hi ku vona leswo nongonoko wa ku mentharixa a wu tirhisiwi swinene eka DRC kasi eka va URCSA ku tshikileriwa ngopfu vuleteri bya vuswikoti, dyondzo leyi yi sukela eka xilaveko xa ku twisisa swinene hi vuenti swipiriyoni swa vafundzhisi swa vuhlayiseki bya vona ku pfuneta ku endla modlele wa vudzaberi eka vahlayisi va vafundzhisi hi swa vuprofexinali. Leswo ku endliwa modlele wa vudzaberi bya ku hlayisa no yisa ehenhla xiyimo lexinene xa vafundzhisi, tidyondzo ta mina (leti sukelaka eka Industrial Organisational Psychology (IOP), Human Resource Management [HRM] na tidyondzo ta ntivo-vukwembu ku nga Theology) swi yise ehenhla ku navela ku tiva ka mina hi swipiriyoni swa vafundzhisi hi vuhlayiseki bya vona eka vugandzeri bya vona lebyi byi nga le ka Vukresre eka tikereke ta vona eAfrika Dzonga. Eka swivutiso swa qualitative research na ntirhiso wa ndzavisiso hi vuswikoti leswi swi tirhisiwaka ku endla qualitative methods eka xiyimo lexi khomekaka. Hikokwalaha eka thesis leyi ndzi tirhise eka mafambiselo mambirhi ya qualitative research methods, ku nga interactive qualitative analysis (IQA) na narrative synthesis leyi yi nga pfuneta ku kuma maendlelo lama ya nga rivaleni ku hlengeleta nxopanxopo na ku endla dokumente ya xiviko xa rhiseche. Maendlelo ya vunharhu ya qualitative research method, lama ndzi nga ma tirhisa i ya authethnographic reflection writing style ku endla tiinferense ta ku tshembeka hi vuyelo bya rhiseche na ku ehleketa hi ti-implications ta swona eka hinkwavo lava va endlaka rhiseche. Modlele wa vudzaberi wu endliwile na swona hi wona lowu wu gangisiwaka tani hi modlele lowu kotekaku wa vuhlayisi na ku yisa ehenhla nhlayiseko wa mufundzhisi (ku nga mutirhi wun'we) kasi hi vuyelo na swona eka kereke (ku nga nhlangano wa vupfumeri bya Vukreste lowu nga tirheleku vuyelo bya mali). Thesis leyi yi tlhela yi pfuneta hi metodoloji ku humesa IQA research eka xiyimo xa Afrika Dzonga. Xo hetelela, thesis leyi yi tlhela yi pfuneta tidyondzo ta multidisciplinary tani hi laha ti nga hlanganisiwa eka thiyori na le ka empirical perspectives ku suka eka tidisiplini tinharhu leti ku nga, IOP, HRM na Theology. / Industrial and Organisational Psychology / Ph. D. (Psychology (Industrial and Organisational Psychology))

With reference to the demands for innovation facing the systems of tertiary education internationally, the Department of Higher Education in South Africa has been revamped since the realization of the democratic Government. In recent years, the Technical and Vocational Education and Training (TVET) College institutions became the potential learning institutions of choice that could revitalize the economy. This resulted in merging the former 152 TVET Colleges into 50 with the intention to streamline access in order to accommodate a larger number of students for technical and vocational training. The purpose of this study was to determine how student retention and success in the TVET Colleges can be effectively managed. The study was mainly guided by the theoretical framework of Bronfenbrenner’s (1979, 1995) ecological systems theory that explains individuals’ relationships with their environments by means of interrelated ecological systems functioning. Secondly, applied to this study was the principles of systems theory which supplemented Bronfenbrenner’s ecological systems theory. A mixed-methods research approach was used in determining the perceptions of TVET College personnel from different levels of institutional functioning and from students from different years of registration to determine the main factors influencing student retention and success at TVET Colleges. The empirical investigation comprised of a quantitative research approach (as phase 1) using questionnaires administered to students which was followed by a qualitative research approach (as phase 2) entailing semi-structured individual interviews with TVET College employees. The researcher used the chi-square and analysis of variables tests as analysis techniques in analysing and presenting the results in in this study. The research findings indicated a strong need for relevant career guidance provided to prospective TVET College students from primary school onwards, and the establishment of a constructive student support unit at TVET Colleges to promote student retention and success. Factors that promote the management student retention and success were identified as relating to the image and reputation of TVET Colleges, sources of effective communication, and student support activities that initially and continuously motivate or hinder student retention and success in the TVET College institutions. / Na aanleiding van die oproepe om vernuwing wat tersiêre-onderwysstelsels op internasionale vlak in die gesig staar, het die Departement van Hoër Onderwys en Opleiding in Suid-Afrika sedert die instelling van 'n demokratiese regering verskeie verbeteringe ondergaan. In die afgelope aantal jare het instellings in die tegniese en beroepsonderwys- en opleidingsektor potensiële voorkeurleerinstellings geword wat die vermoë het om die ekonomie nuwe lewe te gee. Dit het gelei tot die samesmelting van die voormalige 152 kolleges in die sektor tot 50 kolleges, met die doel om toegang te vergemaklik sodat meer studente vir tegniese en beroepsopleiding ingeneem kan word. Die doel van hierdie studie was om te bepaal hoe faktore wat studentbehoud en -sukses beïnvloed, doeltreffend in die tegniese en beroepsonderwys- en opleidingskollegesektor bestuur kan word. Die studie is gerig deur die teoretiese raamwerk van Bronfenbrenner (1979, 1995) se ekologiese-stelselteorie. Hierdie teorie verklaar individue se verhoudings met hul omgewings met behulp van ekologiese stelsels wat in verhouding met mekaar funksioneer. Tweedens, aan die studie was beginsels van stelsels teorie toegevoeg wat Bronfenbrenner se ekologiese stelsels teorie aanvul. Die empiriese ondersoek het bestaan uit ʼn kwantitatiewe navorsingsbenadering waarby vraelyste aan studente uitgedeel is, gevolg deur ʼn kwalitatiewe navorsingsbenadering wat semi-gestruktureerde individuele onderhoude met werknemers by tegniese en beroepsonderwys- en opleidingskolleges behels het. Die navorsingsbevindinge het gedui op ʼn sterk behoefte aan die voorsiening van toepaslike beroepsvoorligting aan leerders op laerskool en verder wat voornemens is om aan tegniese en beroepsonderwys- en opleidingskolleges te studeer, asook die vestiging van ʼn konstruktiewe studentesteuneenheid by hierdie kolleges om studentebehoud en -sukses te bevorder. Faktore wat studentebehoud en -sukses bevorder is geïdentifiseer as dié wat verband hou met die beeld en reputasie van tegniese en beroepsonderwys- en opleidingskolleges, bronne van doeltreffende kommunikasie, en studentesteunaktiwiteite wat aanvanklik en deurlopend as motivering vir studentebehoud en -sukses in hierdie sektor dien of dit belemmer. / Mayelana na xilaveko xa vutumbuluxi lebyi mafambiselo ya swikolo le ya langutiseneke na wona misava hinkwayo, Ndzavisiso ya tidyondzo ta le henhla ya Afrika Dzongayi cincile ku sukela loko hi ri eka mfumo wa xidimokirasi, Eka masiku ya namuntlha, tikholichi ta Vuthikiniki na dyondzo na vuleteri (TVET) ti hundzukile swikolo leswi nga langiwaku ku pfuxelela ikhonomi. Leswi swi endlile leswaku ku katsiwa tikholichi to ringana 152 leswaku ti va 50 ku ri ku endlela leswaku ku tekiwa na ku leteriwa vana va ku tala. Xikongomelo a ku ri ku endlela leswaku machudeni va nga lawuriwa na ku humelerisiwa njhani eka ti kholichi ta ti TVET. Dyondzo leyi yi rhangeriwa hi mavonelo ya malavisiselo ya Bronfenbrenner’s (1979, 1995), mavonelo ya matshamelo na mahlamuselo ya vuxaka eka mpfanganyiso wa matirhiselo, xavumbirhi, Dyondzo leyi yi tirhisile milawu ya mafambiselo na mavonelo lama tatisaku maendleo ya matshamelo na mafambiselo ya Bronfenbrenner. Malaviseselo ya maendlelo yo pfanganana ya tirhisiwile eka mavonelo ya va tirhi ya tikholichi ta ti TVET ku suka eka matshamelo na matirhelo yaku hambana hambana ku sukela eka malembe ya ntsariso ku endlela ku kuma nsusumeto wa ku humelela ka machudeni etikholichi. Ndzavisiso lowu wu katsakanya maendlelo ya khwalithethivhi, eka xiyenge xo sungula hi ku tirhisa swivutiso leswi nga ta xiyisisiwa eka machudeni swi tlhela swilandelerisiwa hi maendlelo ya malavisiselo ya khwalithethivhi (eka xiyenge xa vumbirhi) hi ku kandzelerisiwa hi nwangulano wa xiphemu na vatirhi va ti kholichi ta ti TVET. Mulavisisi u tirhisile xikwere xa chi na ku xopaxopa swiphemu swa swikambelo leswi a swi xopa xopiwa loko ku bumabumeriwe / hlayiwe mbuyelo wa ndzavisiso. Mbuyelo wu kombisa swinene leswaku kuna ku yelana eka ndzetelo lowu nyikiwaku machudeni ya ti kholichi ta TVET ku suka eswikolweni swa le hansi ku ya ehenhla, na ku tumbuluxiwa ka xiyenge xa mpfuno wa machudeni etikholichini ta ti TVET ku tlakusa ku tiyisa na ku humelela ka machudeni. Swi nwana leswi susumetaku ku tlakusa na ku tiyisa vufambisi eku tlakuseni na ku humelerisa machudeni ya ti kholichi ta ti TVET swikombisa swi fananisiwa na xiyimo na xindzhuti xa swikolo leswi, swipfuno swa mavulavulelo, na swipfuno swa switirhisiwa swa mpfuno wa machudeni wa masungulo kumbe wa ku yisa nkucetelo kumbe xirhalanganyi xa ku tlakusa na ku pfuna ku humelela eka tikholichi ta ti TVET. MARITO NKULO / Educational Management and Leadership / D. Ed. (Education Management)

The study investigated the strategies used in teaching geometry in primary six as well as the perception of teachers on geometry vocabulary teaching, how geometry vocabularies were taught and, lastly, how the teaching of geometry vocabulary influenced primary six learners’ performance in geometry. The Van Hiele Theory of geometrical thinking and the Constructivist Theory of learning guided the study. The study conveniently sampled 250 primary 6 learners and 7 primary 6 mathematics teachers from three privately-owned primary schools in the Greater Accra Region of Ghana. It combined quantitative and qualitative approaches, using O1–X–O2 design. Data collection instruments were 5-point Likert type scale questionnaires (one for teachers, one for learners), a pre-test and post-test of basic geometry, and a semi-structured one-on-one audio-recorded interview of a selected number of learners and all seven teachers. An intervention was carried out in-between the pre-test and post-test, where the researcher taught geometry vocabulary to participants. Quantitative data were analysed using tables, charts, and simple tests while the qualitative analysis involved the transcription of interviews that were coded, categorised and themed. The study found that geometry vocabularies were not taught and that the most commonly used strategy for teaching geometry was the drawing of 2-D shapes and models of 3-D objects on the board. The pre-test and post-test scores were analysed using a paired t-test and the results indicated that the intervention had a positive effect. The qualitative and quantitative results confirmed that the teaching of geometry vocabulary improved learners’ performance in geometry. The study developed a prototype lesson plan for teaching 3-D objects, a geometry vocabulary activity sheet, a sample assessment for prisms and pyramids and recommends a curricular reform to inculcate the teaching of geometry vocabulary in the curriculum with a geometry vocabulary list for learners in each year group, as contribution to knowledge in mathematics education. The study recommends further research to investigate the effect of geometry vocabulary teaching on learners’ performance in geometry across all year groups in the primary school. / Dyondzo a yi lavisisa maendlelo lawa ya tirhisiwaka ku dyondzisa geometry ya tidyondzo ta le hansi ta ka ntsevu, mavonelo ya vadyondzisi eka madyondziselo ya marito ya geometry, tindlela leti tirhisiweke ku dyondzisa marito ya geometry xikan’we ni ndlela leyi madyondziselo ya marito ya geometry ya khumbheke matirhelo ya vadyondzi va tidyondzo ta le hansi ta ka ntsevu. Dyondzo ya ndzavisiso yi leteriwile hi ehleketelelo ra Van Heile ra maehleketelelo ra ndlela ya geometry ni ndlela yo dyondzisa leyi pfumelelaka vadyondzi ku vumba vutivi ku nga ri ntsena ku teka vutivi ku suka eka mudyondzisi. Dyondzo ya vulavisisi yi hlawurile vana va 250 va tidyondzo ta le hansi ta ka ntsevu na 7 wa vadyondzisi va tnhlayo ta tidyondzo ta le hansi ta ka ntsevu kusuka eka swikolo swinharhu swo ka swi nga ri swa mfumo e Greater Accra etikweni ra Ghana. Yi hlanganisile qualitative na quantiutative aapproach, yi tirhisa O1–X–O2 design. Switirhisiwa swo hlengeleta data a swi ri swivutiso hi muxaka wa 5-point scale(yin’we ya vadyondizi, yin’we ya vadyondzi), xikambelwana xo rhanga na xo hetelela xa geometry ya masungulo, xikan’we na nkandziyiso wa mburisano wa vanhu vambirhi eka nhlayo ya vadyondzi ni vadzyondzisi hinkwavo va nkombo. Ntirho wo nghenelerisa wu endliwile exikarhi ka xikambelwana xo rhanga ni xo hetelela laha mulavisisi a nga dyondzisa marito ya geometry eka vanhu lava ngheneleleke. Quantitative data yi hleriwile hi ku tirhisa matafula, ti charts ni swikambelwana swo olova kasi vuhleri bya qualitative byi nghenise kutsariwa ka miburisano leyi hundzuluxiweke yi nyika tinhlamuselo leti tumbeleke. Leti vekiweke hi ku ya hi mintlawa ni maendlelo ya tona. Dyondzo ya ndzavisiso yi kume leswaku marito ya geometry a ya dyondzisiwanga ni leswaku maendlelo yo toloveleka ya ku dyondzisa geomeyry i ya drawing ya xivumbeko xa 2-D ni mfanekiso wa nchumu wa 3-D eka bodo. Mbuyelo wa Xikambelwana xo sungula na xo hetelela wu hleriwile hi ku tirhisa t-test (xikambelwana xa T) lexi hlanganisiweke naswona mbuyelo wu komba leswaku maendlelo himkwawo ya vile ni xiave lexinene. Mbuyelo wa Qualitative na Quantitative wu tiyisisile leswaku ku dyondzisiwa ka marito ya geometry swi antswisa matirhelo ya vadyondzi eka dyondzo ya geometry. Dyondzo ya vulavisisi yi antswisile kumbe ku kurisa prototype lesson plan ya ku dyondzisa 3-D objects, sheet ya migingiriko ya marito ya geometry na ku bumabumela circular reform ku dyondzisa madyondziselo ya marito ya geometry eka kharikhulamu leyi ng na nxaxamelo wa marito ya geometry ya vadyondzi eka ntlawa wa lembe na lembe, ta ni hi mpfuneto wa vutivi eka dyondzo ya tinhlayo. Dyondzo ya vulavisisi yi bumabumela leswaku vulavisisi byi ya emahlweni ku lavisisa xiave xa madyondziselo ya marito ya geometry eka matirhelo ya vadzyondzi eka geometry eka malembe ni mintlawa hinkwayo exikolweni xa le hansi. / Thuto ye e nyakisisitse ditsela tseo di somiswago go ruteng ga geometry go mphato wa bo tshelela, temogo ya barutisi go ruteng tlotlontsu ya geometry, tsela yeo ditlotlontsu tsa geometry di rutilwego ka gona go akaretswa le, sa mafelelo, ka mokgwa wo thuto ya tlotlontsu ya geometry e tutueditsego mabokgoni a barutwana ba mphato wa bo tshelela go dithuto tsa geometry. Thuto ya van Hiele ya geometrical thinking le ya constructivist theory of learning di hlahlile thuto ye. Thuto ye e somisitse ga bonolo mohlala wa barutwana ba 250 ba mphato wa 6 le barutisi ba dipalo ba supa ba go ruta mphato wa 6 go tswa dikolong tsa tlase tse tharo tsa go ikema seleteng sa Greater Accra Region of Ghana. Thuto ye e kopantse mekgwa ya bontsi/dipalopalo (quantitative) le boleng (qualitative), go somiswa tlhamo ya O1-X-O2. Didiriswa tsa kgobaketso ya boitsebiso e bile 5-point Likert Type Scale Questionnaire (ye tee ya barutisi, ye tee ya barutwana), moleko wa pele le moleko wa morago wa geometry ya motheo, le poledisano yeo e gatisitswego ya tlhamego ya sewelo (semi-structured) ya barutwana bao ba kgethilwego ga mmogo le barutisi ka moka ba supa. Thekgo e ile ya phethagatswa/fiwa magareng ga moleko wa pele le moleko wa morago moo monyakisisi a rutilego tlotlontsu ya geometry go batseakarolo. Boitsebiso bja bontsi (quantitative data) bo sekasekilwe ka go somisa ditafola, ditshate, le teko e bonolo mola ditshekatsheko tsa boleng (qualitative analysis) di akareditse go ngwalolla dipoledisano tseo di thulagantswego, tsa hlophiwa le go beakanywa ka sehlogo. Thuto ye e itullotse gore ditlotlontsu tsa geometry ga se tsa rutwa ebile mekgwana yeo e somisitswego ya setlwaedi go ruta geometry ebile go thala dibopego tsa 2-D le mehlala ya didiriswa tsa 3-D letlapeng. Dintlha tsa moleko wa pele le moleko wa bobedi di sekasekilwe ka go somisa mokgwa wa go phera moleko wa t (t-test). Dipoelo di supeditse gore thekgo yeo e filwego e bile le khuetso ye botse. Dipoelo tsa bontsi le boleng di netefaditse gore go ruta tlotlontsu ya geometry go kaonafatsa mabokgoni a barutwana dithutong tsa geometry. Nyakisiso ye e tsweleditse lenaneothuto la go dira diteko go ruteng didiritswa tsa 3-D le papetlatshomelo ya tlotlontsu ya geometry gape le go kgothaletsa mpshafatso ya lenaneo-thuto go tsenyeletsa thuto ya tlotlontsu ya geometry ka gare ga lenaneo-thuto gammogo le lelokelelo la tlotlontsu ya geometry ya barutwana go dihlopha tsa mengwageng ka moka. Se e tla ba e le tlaleletso ya tsebo go thuto ya dipalo. Thuto ye e kgothaletsa dinyakisiso tsa go ya pele go nyakolla mafelelo a go ruta tlotlontsu ya geometry go tiro ya, goba dipoelo tsa, barutwana go thuto ya geometry go dihlopha tsa mengwaga ka moka tsa sekolo sa tlase. / Mathematics Education / Ph. D. (Mathematics Education)