Abstracts in English, Afrikaans and Zulu / Assessment is considered as integral to the teaching and learning process of Mathematics where various types of assessment are used to develop feedback for several purposes. Research has highlighted the challenge of the dominance of summative assessment in classroom assessment practices. In recent years, world countries have been acknowledging the use of assessment for learning (AfL) to enhance the learning process and thus improve learner performance. This research explored how Mathematics teachers applied AfL in their classrooms. A theoretical framework to support AfL was presented through an overview of constructivism theory, social justice theory, connectivism theory, TPACK theory and Bloom’s Revised Taxonomy. A qualitative approach and a case study design were applied involving nine Mathematics teachers from nine primary schools. Data, collected through semi-structured interviews, non-participant observation and document analysis, were thematically analysed. The findings show a positive understanding of what AfL is and its importance to the teaching and learning of Mathematics. However, the application of AfL was found to be inconsistent with its purpose of creating an environment conducive to develop feedback that supports the learning process. Challenges that inhibit its application were found to outweigh successes experienced by teachers. Lack of theoretical understanding of the use of AfL, overcrowding, the language of learning and teaching and lack of resources emerged as some of the major challenges. Teachers pleaded for more in-service training opportunities to assist them with managing assessment for learning practices in Mathematics. / Assessering is onlosmaaklik met die onderrig en leer van wiskunde verbind. Wiskunde word op verskeie maniere geassesseer sodat terugvoering om allerlei redes verkry word. Volgens navorsing oorheers summatiewe assessering in klaskamers. In die laaste jare word assessering vir leer (AvL) wêreldwyd aangewend om die leerproses en leerders se prestasie te verbeter. In hierdie studie is nagevors hoe wiskundeonderwysers AvL in die klaskamer toepas. ʼn Teoretiese raamwerk vir AvL is opgestel uit ʼn oorsig van die konstruktivistiese teorie, die sosialegeregtigheidsteorie, die konnektivismeteorie en die TPACK-teorie en Bloom se Hersiene Taksonomie. ʼn Kwalitatiewe benadering en ʼn gevallestudie-ontwerp is gevolg in die verkenning van nege wiskundeonderwysers by nege primêre skole se assessering. Data is deur halfgestruktureerde onderhoude, waarneming sonder deelname en dokumentontledings versamel en tematies geanaliseer. Daar is bevind dat die onderwysers geweet het wat AvL is en die belang daarvan in die onderrig en leer van wiskunde besef het. Die toepassing het egter nie met die oogmerk van AvL gestrook nie. Die oogmerk is om ʼn omgewing tot stand te bring wat assessering bevorder om leer te ondersteun. Die toepassingsprobleme van AvL oorskadu die welslae wat daarmee behaal word. ʼn Gebrekkige teoretiese begrip van hoe AvL gebruik word, oorvol klaskamers, die taal van onderrig en leer, en ʼn gebrek aan hulpbronne is van die grootste uitdagings. Onderwysers bepleit indiensopleiding sodat hulle die assessering van leerpraktyke in wiskunde beter kan bestuur. / Ukuhlola kuthathwa njengento esemqoka ohlelweni lokufundisa nokufunda imethamethiksi lapho izinhlobo ezahlukahlukene zokuhlola zisetshenziswa ukwakha umbiko wakamuva ngesizathu sezinhloso ezimbalwa. Ucwaningo selukhombise inselelo yokuhamba phambili kwenhlobo yokuhlola i-summative assessment lapho kuqhutshwa umsebenzi wokuhlola emagunjini okufunda. Eminyakeni esandakwedlula, amazwe omhlaba kade amukela ukusetshenziswa kohlelo lokuhlola ukufunda (AFL) ukuqinisa uhlelo lokufunda kanti lokhu kuthuthukisa izinga lokufunda lomfundi. Lolu cwaningo beluhlola indlela uthisha wesifundo semethamethiksi ebesebenzisa uhlelo lwe-AFL emagunjini abo okufundisa. Isakhiwo sethiyori esiqonde ukuxhasa uhlelo lwe-AFL lwethuliwe ngamafuphi ngomqondo phecelezi we- -constructivism theory, social justice theory, connectivism theory, TPACK theory kanye ne-Bloom’s Revised Taxonomy. Indlela yocwaningo eyencike kwingxoxo (qualitative approach) kanye nedizayini yocwaningo lotho (case study design) zisetshenziswe kuxutshwa phakathi othisha bemethamethiksi abayisishiyagalolunye abavela ezikoleni zamabanga aphansi. Idatha iqoqwe ngokwenza inhlolovo eyakhiwe kancane, kanti kuye kwabhekisiswa imibono yalabo abangadlalindima kanye nokuhlaziywa kombhalo kuye kwahlaziywa ngokuthi kubhekwe indikimba. . Ulwazi olutholwe wucwaningo lukhombisa ukuthi uhlelo lwe-AFL kanye nokubaluleka kwalo kuzwisiseka kahle kakhulu ohlelweni lokufundisa nokufundwa kwemethamethiksi. . Yize kunjalo, ukusetshenziswa kohlelo lwe-AFL kuye kwatholakala ukuthi akuhambisani nenhloso yalo yokwakha isizinda esifanele sokwakha umbiko wakamuva oxhasa uhlelo lokufunda. Izinselelo eziqukethe ukusetshenziswa kwalo lolu hlelo ziye zatholakala ukuthi zedlula impumelelo eyenziwe ngothisha. Ukwentuleka kokuzwisisa umqondo wokusetshenziswa kohlelo lwe-AFL, inani eliphuphumayo labantwana, ulimi lokufunda nokufundisa kanye nokwentuleka kwemithombo yokufunda kuye kwavela njengezinye izinselelo. Othisha baye bacela ukunikezwa amathuba okuqeqeshwa basebenza ukuze lawo makhono abancede ukuqhuba izinhlelo zokuhlola imisebenzi yokufunda imethamethiksi. / Curriculum and Instructional Studies / D. Phil. (Education (Curriculum Studies))

Abstracts in English, Sotho and Zulu / Waste generation is a global problem encountered by many nations. In recent years, population growth, booming urbanisation, an increase in economic activities and rise of communities’ living standards have significantly escalated household waste generation which has been a cause for concern. Waste production in households and schools imposes serious concern on the environment. To curb further depletion of environmental resources, sustainable consumption and household waste management practices and systems cannot be over emphasised. Therefore, the aim of the study was to explore the views of secondary school teachers’ views with regard to learners’ awareness of household waste management in Newcastle, South Africa. This study, following a qualitative approach, adopted a case study design to explore secondary teachers’ views on learners’ awareness on household waste management in the Newcastle municipality, in the Amajuba District, South Africa. By using semi- structured interviews, non-participatory observation and documents analysis, data were collected from three secondary schools and nine teachers, teaching Natural Sciences, Social Sciences and Life Orientation in Grade 8. The findings revealed that teachers understand the importance and benefits of household waste management although misconceptions of household waste management still prevailed. A challenge that emerged showed that teachers lack training to successfully integrate household waste management in their subjects. Their failure to identify household waste management themes in their CAPS subjects was sufficient evidence for the urgency of in-service training of teachers to assist them in integrating environmental education (EE) themes such as household waste management in their subjects. Although teachers experienced several challenges regarding implementing the theme of household waste management in their subjects, they considered the benefits outweighed the challenges. / Tlhahiso ya ditshila ke bothata bo aparetseng dinaha tse ngata. Dilemong tsa morao tjena, kgolo ya baahi, ho eketseha ha ditoropo, ho eketseha ha mesebetsi ya moruo, le ho phahama ha maemo a bophelo a baahi ho ekeditse tlhahiso ya ditshila tsa malapa ka mokgwa o bonahalang, e leng seo e leng sesosa sa ho tshwenyeha. Tlhahiso ya ditshila malapeng le dikolong e baka mathata a tebileng tikolohong. Ho thibela ho qepha ho eketsehileng ha mehlodi ya tikoloho, tshebediso e tsitsitseng le ditlwaelo tsa taolo ya ditshila tsa malapeng le ditsamaiso ho hloka ho elwa hloko ka tsela e kgethehileng. Kahoo, sepheo sa phuputso e ne e le ho hlahloba maikutlo a matitjhere a dikolo tse mahareng mabapi le tlhokomediso ya baithuti ka taolo ya ditshila tsa malapa Newcastle, Afrika Borwa. Phuputso, ka ho sebedisa mokgwa wa boleng, e amohetse moralo wa phuputso e ikgethileng ho hlahloba maikutlo a matitjhere a dikolo tse bohareng hodima tlhokomediso ya baithuti mabapi le taolo ya ditshila tsa malapa mmasepaleng wa Newcastle, Seterekeng sa Amajuba, Afrika Borwa. Ka ho sebedisa dipuisano tse hlophisitsweng hantle, tlhahlobo e sa kenyelletseng bonkakarolo le manollo ya ditokomane, datha e ile ya bokellwa ho tswa dikolong tse tharo tse bohareng le ho matitjhere a robong, a rutang Saense ya Tlhaho, Saense ya Phedisano le Thuto ya Bophelo bakeng sa baithuti ba Sehlopha sa 8. Diphetho di senotse hore matitjhere a utlwisisa bohlokwa le melemo ya taolo ya ditshila tsa malapa le hoja maikutlo a fosahetseng mabapi le taolo ya ditshila tsa malapa a ntse a atile. Phephetso e ileng ya hlaha e bontsha hore matitjhere a haellwa ke kwetliso ya ho kenyelletsa ka katleho taolo ya ditshila tsa malapa dithutong tsa bona. Ho hloleha ho kgetholla dihlooho tsa taolo ya ditshila tsa malapa dithutong tsa bona tsa CAPS e ne e le bopaki bo lekaneng ba ho potlaka ha kwetliso ya matitjhere a tshebetsong ho ba thusa ho kenyelletsa dihlooho tsa thuto ya tikoloho (EE) jwalo ka taolo ya ditshila tsa malapa dithutong tsa bona. Leha ele hore matitjhere a ile a ba le diphephetso mabapi le ho kenyelletsa dihlooho tsa taolo ya ditshila tsa malapa dithutong tsa bona, ba ile ba utlwa hore melemo e feta diphephetso. / Ukukhiqizeka kukadoti kuyinkinga ehlangabezana nezizwe eziningi emhlabeni. Eminyakeni esanda kudlula, ukukhula kwenani labantu, ukukhula kwamadolobha, ukukhula kwemisebenzi yamabhizinisi kanye nokukhuphuka kwezinga lempilo yabantu yikho okuye kwadala ukuthi imizi ikhiqize izinga eliphezulu likadoti/lenkukuma, okuyinkinga ebekade ivele isikhona. Ukukhiqizeka kukadoti emakhaya kanye nasezikoleni kudala izinkinga ezibi kakhulu endaweni. Ukuqeda ukumoshakala/ukuguga kwemithombo yezendawo okuqhubekela phambili, kusobala ukuthi kudingeka izindlela ezisimelele zokugaywa kukadothi kanye nezindlela zokulawula kukadothi kanti konke lokhu kuyiqiniso elingenakuphikiswa. Ngakho-ke, inhloso yocwaningo kwakuwukuphenya imibono yabafundisi bezikole zamabanga aphakeme mayelana nokuxwayisa uhlelo lokulawulwa kukadoti endaweni yase Newcastle, eNingizimu Afrika. Lolu cwaningo ngokulandela indlela yocwaningo eyencike kwingxoxo, luye lwalandela idizayini yocwaningo lotho ukuphenya imibono yabafundisi bamabanga aphakeme mayelana nokuxwayiswa kwabafundi ngokulawulwa kukadoti emakhaya ngaphansi kukamasipaladi waseNewcastle, ongaphansi kwesiFunda saseMajuba, eNingizimu Afrika. Idatha iye yaqoqwa ngokusebenzisa inhlolovo embaxambili, kwahlaziywa indlela yokuziphatha futhi kwahlaziywa imibhalo, kanti le datha iqoqwe ezikoleni zamabanga aphakeme ezintathu kanye nakubafundisi abayisishiyagalolunye, okungabafundisi abafundisa izifundo phecelezi Natural Sciences, Social Sciences kanye neLife Orientation yabafundi bakaGreyidi 8. Ulwazi olutholakele luveze ukuthi abafundisi bazwisisa ukubaluleka kanye nezinzuzo zohlelo lokulawulwa kukadoti, yize kusekhona ukudideka/ukungazwisisani mayelana nohlelo lokulawula ukuphatha kukadoti. Inselelo ebonakele, ikhombise ukuthi abafundisi baswela ukuqeqeshwa ukuze bakwazi ukuzwisisa kahle uhlelo lokulawulwa kukadoti kwizifundo zabo. Ukwehluleka kwabo ukwehlukanisa izindikimba zokulawulwa kukadoti emakhaya ezifundweni zabo zeCAPS kuye kwaba wubufakazi obanele besidingo esisheshayo sokuqeqeshwa kwabafundisi abasemsebenzini ukubanceda ukuba bakwazi ukuhlanganisa izindikimba zezifundo zezendawo environmental education (EE) ezinjengokulawulwa kukadoti ezifundweni zabo.Yize abafundisi behlangabezana nezinselele ezimbalwa mayelana nokusebenzisa indikimba yokulawulwa kukadoti ezifundweni zabo, baye babona ukuthi izinzuzo zalokhu zedlula izinselele. / Curriculum and Instructional Studies / M. Ed. (Environmental Education Curriculum)