Die rasionaal vir onderhawige studie was aan die hand van narratiewe navorsingsmetodes om insig en begrip te verwerf oor wat dit beteken om die moeder te wees van 'n seun met outisme. Ek (navorser) en die moeder (deelnemer) het verskeie data-inwinning-aktiwiteite aangewend, byvoorbeeld haar lewensverhaal, waarin ek en die moeder emosionele intelligensie komponente geïdentifiseer het met die verdere doel om haar belewinge van outisme te interpreteer. 'n Narratiewe navorsing-ontwerp, wat gebaseer is op interpretavistiese en konstruktivistiese paradigmata, kan dus die betekenisvolle emosies en ander belewinge van die moeder akkuraat interpreteer en kommunikeer oor wat dit beteken om 'n moeder te wees van 'n seun met outisme. In hierdie studie maak ek as navorser gebruik van 'n kwalitatiewe navorsingsbenadering met 'n narratiewe navorsings-ontwerp, waarin 'n multimetode benadering tot data-insameling aangewend word, met die doel om die belewinge van die moeder in die vorm van 'n lewensverhaal saam te vat. Die data-inwinning-strategieë wat aangewend is het gepoog om in-diepte, ryk en persoonlike verhaal-inhoude te genereer. Die volgende aktiwiteite is gebruik : 'n informele onderhoud, herinneringsboek (collages, staaltjies, lewenslyn en metafore), en 'n intellektuele bespreking van emosionele intelligensie. Die moeder het kollaboratief deelgeneem tydens die identifisering van emosionele intelligensie komponente in haar lewensverhaal. Dit was belangrik om deurlopend kollaboratiewe besprekinge met die moeder te skeduleer, aangesien haar insae met betrekking tot die wyse waarop die data georganiseer, geanaliseer en geïnterpreteer word verband hou met haar interpretasies van outisme en die verkenning van haar belewinge aan die hand van Bar-On (2003) se emosionele intelligensie komponente. Die betekenisvolle belewinge wat op grond van die moeder se verhaal-inhoude, in samehang met haar geïdentifiseerde emosionele intelligensie komponente, bespreek word, dui daarop dat die moeder 'n optimistiese, realistiese en intro-spektiewe uitkyk het met betrekking tot ouerskap en opvoeding. Dit kan as verantwoordbaar beskou word as ek as navorser dit stel dat die moeder begrip en insig demonstreer ten opsigte van die hindernis waarmee haar seun leef. Die moeder som haar belewing van outisme die beste op met die inspirerende aanhaling van Emily Pearl Kingsley: “Say goodbye to the child you wanted, or else your focus will never be with the child you have.” / ENGLISH : The rationale for this study was to gain a better understanding of what it means to be the mother of a child with autism, through the use of narrative research accounts. The mother (participant), and I (researcher) furthermore utilized the sources of collected data, such as her life story, to identify components of emotional intelligence with the purpose of additional interpretation. A narrative research design, firmly rooted in an interpretivist and constructivist paradigm, should therefore serve to accurately interpret the significant emotions and other lived-experiences that a mother attaches to living with a child that has been diagnosed with autism. A multi-method approach, directed by a qualitative research approach and a narrative research design, was followed in an attempt to capture the mother‘s experiences and life story. Data collection strategies employed to generate an in-depth, rich and personal life story consisted of the following activities: an informal interview, memory box (collages, anecdotes, life line, and methaphors) and an intellectual discussion regarding emotional intelligence. The mother also participated in a collaborative discussion to identify emotional intelligence components relevant to her life story. Further collaboration and discussion with the mother were required to ensure that the data were organised, analysed and interpreted according to the mother‘s lived-experiences of autism, along with her emotions that were identified on the basis of Bar-On‘s (2003) emotional intelligence components. The meaningful findings drawn from the mother‘s narratives (in relation to the identified emotional intelligence components) suggest that the mother demonstrates an optmistic, realistic and introspective view on parenting. It can be regarded as accountable for me as researcher to state that the mother displays an educated an comprehensive understanding of the disability with which her child is living. The mother perhaps best summarises her experiences of autism in the words of Emily Pearl Kingsley‘s inspirational words: “Say goodbye to the child you wanted, or else your focus will never be with the child you have.” / Dissertation (MEd)--University of Pretoria, 2010. / Educational Psychology / Unrestricted

Text in Afrikaans / Due to the radical reform in mathematics education worldwide, the mathematics curriculum underwent dramatic changes in order to meet the new objectives in mathematics. This has placed a huge responsibility on curriculum compilers and the authors of mathematics textbooks and mathematics teachers to enhance the cognitive development of learners. This study takes the view that: What happens in the class is what you get. Based on the above statement, the foundation of mathematics teaching, namely the mathematics curriculum, the mathematics textbook and the teacher’s instruction in the teaching venue were scrutinised. During a diagnostic examination of teachers’ interpretation, knowledge and application of the mathematics curriculum and the content of mathematics textbooks on the East Rand, the following problems regarding mathematics teaching emerged: The most important finding of TIMMS is that the differences in performance in mathematics between different countries can be linked to the way teachers interpret and present the content of mathematics. Research has revealed that the interaction of teachers with curriculum content follow a dynamic and constructive application instead of direct application based on the mathematics curriculum. Teachers often change the prescriptions and order of content in the mathematics curriculum to suit their teaching style, knowledge and previous experience. Consequently, align application of mathematical concepts and skills does not take place and this creates a gap in learners’ cognitive development. It also leaves a gap in the application of the Type 5 cognitive development tasks in mathematics which enable a verifying deductive application of concepts. The action research created a structure which could meet this need. Authors of mathematics textbooks present their own vision, interpretation and style in mathematics textbooks, which influences the order of mathematics content and concepts. The result is that mathematics content and concepts are at times not aligned with representations in the mathematics curriculum and objectives are therefore not reached. The different interpretations of mathematics textbooks by teachers differ greatly and these differences place great pressure on teachers to decide how the mathematics textbook will be used in the teaching venue. In this study a mathematics textbook profile and a task analysis were formulated in the cause of action research which will enable teachers to make a professional analysis which they can use. Because a variety of mathematics textbooks are selected for use in schools, teachers assume that these approved mathematics textbooks focus on the curriculum. They therefore slavishly follow the mathematics textbooks without consulting the mathematics curriculum. Shortcomings in mathematics textbooks and teachers’ own interpretation of mathematics content leave a big gap in their own alignment of mathematics teaching. To satisfy this need, an assessment profile and an methodology for alignment are provided to enable teachers to monitor the curriculum alignment presentation of concepts and skills. / As gevolg van die radikale hervorming in wiskunde-onderrig wêreldwyd het die wiskundekurrikulum dramatiese veranderings ondergaan ten einde die nuwe doelstellings in wiskunde te bereik. Dit het enorme verantwoordelikheid geplaas op kurrikulumsamestellers en outeurs van wiskundehandboeke en wiskunde-onderwysers om die kognitiewe ontwikkeling van leerders te bevorder. In hierdie studie is van die volgende standpunt uitgegaan: What happens in the class is what you get. Derhalwe is die fondasie van wiskunde-onderrig, naamlik die wiskundekurrikulum, wiskundehandboek en die onderwyser se instruksies in die klaskamer ondersoek. In `n diagnostiese ontleding van onderwysers se interpretasie, kennis en toepassing van die wiskundekurrikulum en die wiskundehandboekinhoude aan die Oos-Rand het die volgende probleme in verband met wiskunde-onderrig na vore gekom: Die belangrikste bevinding van TIMMS is dat die verskille in wiskundeprestasie tussen lande verband hou met die wyse waarop onderwysers die wiskudekurrikuluminhoude interpreteer en aanbied. Navorsing toon dat die interaksie van onderwysers met kurrikulummateriaal op ʼn dinamiese en konstruktiewe toepassing geskied in plaas van direkte toepassing vanuit die wiskundekurrikulum. Onderwysers verander dikwels die wiskundekurrikulum se voorskrifte en volgorde van inhoude om by hulle onderrigstyl, kennis en vorige ervarings te pas. Die gevolg is dat geen inlyntoepassing van wiskundebegrippe en vaardighede plaasvind nie en dit laat ʼn leemte in leerders se kognitiewe ontwikkeling. Verder laat dit ʼn leemte in die toepassing van die 5-tipe kognitiewe ontwikkelingstake in wiskunde wat ʼn verifiërend deduktiewe toepassing van begrippe bewerkstellig. In die aksienavorsing is ʼn struktuur geskep wat in hierdie behoefte voorsien. Outeurs van wiskundehandboeke het ʼn eie visie, interpretasie en styl wat hulle in wiskundehandboeke aanbied. Dit het ʼn invloed op die volgorde van wiskunde-inhoude en begrippe en gevolglik is wiskunde-inhoude en -begrippe soms nie inlyn geplaas met voorstellings van die wiskundekurrikulum nie, en word doelstellings nie bereik nie. Onderwysers se verskillende interpretasies van wiskundehandboekinhoude verskil radikaal van mekaar en plaas gevolglik groot druk op onderwysers om ʼn keuse te maak wat betref die gebruik van ʼn wiskundehandboek vir gebruik in die klaskamer. In die studie is ʼn wiskundehandboekprofiel en ʼn taakontleding tydens aksienavorsing geformuleer wat onderwysers in staat sal stel om ʼn professionele ontleding te maak vir gebruik. As gevolg van die verskeidenheid wiskundehandboeke wat gekeur word vir gebruik in skole neem onderwysers aan dat hierdie gekeurde wiskundehandboeke op die kurrikulum gerig is. Gevolglik word wiskundehandboeke slaafs nagevolg sonder om die wiskundekurrikulum te raadpleeg. Tekortkominge in wiskundehandboeke en die eie interpretasie van wiskundeinhoude deur onderwysers laat ʼn groot leemte in hul eie inlynwiskunde-onderrig. Om te voorsien in hierdie behoefte is ʼn assesseringsprofiel en ʼn inlynmetodiek saamgestel om onderwysers in staat te stel om die inlynaanbieding van begrippe en vaardighede te monitor. / Curriculum and Instructional Studies / D. Ed. (Didaktiek)

Text in Afrikaans, abstract in English and Afrikaans / Due to the radical reform in mathematics education worldwide, the mathematics curriculum underwent dramatic changes in order to meet the new objectives in mathematics. This has placed a huge responsibility on curriculum compilers and the authors of mathematics textbooks and mathematics teachers to enhance the cognitive development of learners. This study takes the view that: What happens in the class is what you get. Based on the above statement, the foundation of mathematics teaching, namely the mathematics curriculum, the mathematics textbook and the teacher’s instruction in the teaching venue were scrutinised. During a diagnostic examination of teachers’ interpretation, knowledge and application of the mathematics curriculum and the content of mathematics textbooks on the East Rand, the following problems regarding mathematics teaching emerged: The most important finding of TIMMS is that the differences in performance in mathematics between different countries can be linked to the way teachers interpret and present the content of mathematics. Research has revealed that the interaction of teachers with curriculum content follow a dynamic and constructive application instead of direct application based on the mathematics curriculum. Teachers often change the prescriptions and order of content in the mathematics curriculum to suit their teaching style, knowledge and previous experience. Consequently, align application of mathematical concepts and skills does not take place and this creates a gap in learners’ cognitive development. It also leaves a gap in the application of the Type 5 cognitive development tasks in mathematics which enable a verifying deductive application of concepts. The action research created a structure which could meet this need. Authors of mathematics textbooks present their own vision, interpretation and style in mathematics textbooks, which influences the order of mathematics content and concepts. The result is that mathematics content and concepts are at times not aligned with representations in the mathematics curriculum and objectives are therefore not reached. The different interpretations of mathematics textbooks by teachers differ greatly and these differences place great pressure on teachers to decide how the mathematics textbook will be used in the teaching venue. In this study a mathematics textbook profile and a task analysis were formulated in the cause of action research which will enable teachers to make a professional analysis which they can use. Because a variety of mathematics textbooks are selected for use in schools, teachers assume that these approved mathematics textbooks focus on the curriculum. They therefore slavishly follow the mathematics textbooks without consulting the mathematics curriculum. Shortcomings in mathematics textbooks and teachers’ own interpretation of mathematics content leave a big gap in their own alignment of mathematics teaching. To satisfy this need, an assessment profile and an methodology for alignment are provided to enable teachers to monitor the curriculum alignment presentation of concepts and skills. / As gevolg van die radikale hervorming in wiskunde-onderrig wêreldwyd het die wiskundekurrikulum dramatiese veranderings ondergaan ten einde die nuwe doelstellings in wiskunde te bereik. Dit het enorme verantwoordelikheid geplaas op kurrikulumsamestellers en outeurs van wiskundehandboeke en wiskunde-onderwysers om die kognitiewe ontwikkeling van leerders te bevorder. In hierdie studie is van die volgende standpunt uitgegaan: What happens in the class is what you get. Derhalwe is die fondasie van wiskunde-onderrig, naamlik die wiskundekurrikulum, wiskundehandboek en die onderwyser se instruksies in die klaskamer ondersoek. In `n diagnostiese ontleding van onderwysers se interpretasie, kennis en toepassing van die wiskundekurrikulum en die wiskundehandboekinhoude aan die Oos-Rand het die volgende probleme in verband met wiskunde-onderrig na vore gekom: Die belangrikste bevinding van TIMMS is dat die verskille in wiskundeprestasie tussen lande verband hou met die wyse waarop onderwysers die wiskudekurrikuluminhoude interpreteer en aanbied. Navorsing toon dat die interaksie van onderwysers met kurrikulummateriaal op ʼn dinamiese en konstruktiewe toepassing geskied in plaas van direkte toepassing vanuit die wiskundekurrikulum. Onderwysers verander dikwels die wiskundekurrikulum se voorskrifte en volgorde van inhoude om by hulle onderrigstyl, kennis en vorige ervarings te pas. Die gevolg is dat geen inlyntoepassing van wiskundebegrippe en vaardighede plaasvind nie en dit laat ʼn leemte in leerders se kognitiewe ontwikkeling. Verder laat dit ʼn leemte in die toepassing van die 5-tipe kognitiewe ontwikkelingstake in wiskunde wat ʼn verifiërend deduktiewe toepassing van begrippe bewerkstellig. In die aksienavorsing is ʼn struktuur geskep wat in hierdie behoefte voorsien. Outeurs van wiskundehandboeke het ʼn eie visie, interpretasie en styl wat hulle in wiskundehandboeke aanbied. Dit het ʼn invloed op die volgorde van wiskunde-inhoude en begrippe en gevolglik is wiskunde-inhoude en -begrippe soms nie inlyn geplaas met voorstellings van die wiskundekurrikulum nie, en word doelstellings nie bereik nie. Onderwysers se verskillende interpretasies van wiskundehandboekinhoude verskil radikaal van mekaar en plaas gevolglik groot druk op onderwysers om ʼn keuse te maak wat betref die gebruik van ʼn wiskundehandboek vir gebruik in die klaskamer. In die studie is ʼn wiskundehandboekprofiel en ʼn taakontleding tydens aksienavorsing geformuleer wat onderwysers in staat sal stel om ʼn professionele ontleding te maak vir gebruik. As gevolg van die verskeidenheid wiskundehandboeke wat gekeur word vir gebruik in skole neem onderwysers aan dat hierdie gekeurde wiskundehandboeke op die kurrikulum gerig is. Gevolglik word wiskundehandboeke slaafs nagevolg sonder om die wiskundekurrikulum te raadpleeg. Tekortkominge in wiskundehandboeke en die eie interpretasie van wiskundeinhoude deur onderwysers laat ʼn groot leemte in hul eie inlynwiskunde-onderrig. Om te voorsien in hierdie behoefte is ʼn assesseringsprofiel en ʼn inlynmetodiek saamgestel om onderwysers in staat te stel om die inlynaanbieding van begrippe en vaardighede te monitor. / Curriculum and Instructional Studies / D. Ed. (Didaktiek)