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An investigative study on the affect and concerns of mathematics student teachers with special reference to social-context based learning packages / Nazir Ahmed HassanHassan, Nazir Ahmed January 2013 (has links)
This investigative study was undertaken against the background of the recent calls for back to
basics by the Schooling 2025 initiative, as well as to address the 2000 and 2009 Review
Committees’ reports on the training and development of teachers and on the variable quality of
learning support materials. The act of systemic transformation has led to two curriculum revisions
taking place within the South African education sector and has inevitably culminated in the
identification of shortcomings in teacher development and learning materials. This study has
positioned itself to address these shortcomings at pre-service level through the preparation of
Mathematics student teachers as prospective Mathematics teachers.
In addressing the issue of inadequate training, the focus of the study was not only on cognition,
but also on how affect could influence the learning of Mathematics so as to ensure a more
encompassing approach in understanding how student teachers learn and do Mathematics.
Integrated research on affect and cognition could lead to optimal performance in the teaching and
learning of Mathematics and researchers in mathematics education need to acknowledge the role
and impact of the affective domain and integrate it into studies of cognition. If learners are going
to become competent learners of Mathematics, their affective responses to Mathematics are going
to be much more intense than if they are merely expected to achieve satisfactory levels of
performance in low-order mathematical skills. In the studies on mathematics cognition, the focus
of mathematical competencies is on abilities and capabilities while, in the affective domain,
competencies in mathematics are more than the abilities to perform observable tasks. Rather, the
focus of the affective competencies lies in the direction, the degree and the levels of intensities of
affect constructs (or their variables) that will define mathematical competencies within the
affective domain. Evidentiary (qualitative) data from this study supported the contention that
affect does influence the learning of mathematics since there were distinct patterns in the overall
expressions of participants towards this aspect of the research.
The acknowledgment of the concerns of student teachers during field practicum could possibly
help in ameliorating these concerns through the identification of what student teachers were
mostly concerned about when teaching Mathematics and how, by addressing these concerns, could help improve their teaching skills and abilities. Based on the quantitative evidence, the three subscales
of self, task and impact used in the Student Concerns Questionnaire (SCQ) were modified
on the basis of factor analysis to a two-factor model (concerns about self-benefit and concerns
about learner-benefit). Some of the statistical results were integrated with the narrative data to
provide substantive support for the expressions of student teachers. No classical trends, as noted in
the concerns theory, could be detected in this study. It was statistically inferred that a majority of
Mathematics student teachers who participated in this study were moderately concerned about
most of the concerns statements noted in each of the items on the SCQ. In addressing the variable
quality of the learning material the study focused on the development and the use of social context
learning packages. The utilisation of these learning packages (in an intervention strategy) was
aimed at strengthening social context knowledge and education, and explored its role in the
translation (if any) of student teacher concerns within a hierarchical spectrum. The evidence on
how student teachers perceived the use of these learning packages was recorded during the
interviews. Analyses of the verbal data revealed that the participating student teachers agreed with
the use of social context learning packages as part of their Mathematics lessons. In sum, the need
to prepare effective Mathematics teachers and raise the academic calibre of prospective
Mathematics teachers was fundamental to the overall design of this study. It is trusted that
curriculum planners and designers will consider the recommendations of this study to address the
so-called inadequacies within the education system of South Africa. / Thesis (PhD (Mathematics Education))--North-West University, Potchefstroom Campus, 2013
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An investigative study on the affect and concerns of mathematics student teachers with special reference to social-context based learning packages / Nazir Ahmed HassanHassan, Nazir Ahmed January 2013 (has links)
This investigative study was undertaken against the background of the recent calls for back to
basics by the Schooling 2025 initiative, as well as to address the 2000 and 2009 Review
Committees’ reports on the training and development of teachers and on the variable quality of
learning support materials. The act of systemic transformation has led to two curriculum revisions
taking place within the South African education sector and has inevitably culminated in the
identification of shortcomings in teacher development and learning materials. This study has
positioned itself to address these shortcomings at pre-service level through the preparation of
Mathematics student teachers as prospective Mathematics teachers.
In addressing the issue of inadequate training, the focus of the study was not only on cognition,
but also on how affect could influence the learning of Mathematics so as to ensure a more
encompassing approach in understanding how student teachers learn and do Mathematics.
Integrated research on affect and cognition could lead to optimal performance in the teaching and
learning of Mathematics and researchers in mathematics education need to acknowledge the role
and impact of the affective domain and integrate it into studies of cognition. If learners are going
to become competent learners of Mathematics, their affective responses to Mathematics are going
to be much more intense than if they are merely expected to achieve satisfactory levels of
performance in low-order mathematical skills. In the studies on mathematics cognition, the focus
of mathematical competencies is on abilities and capabilities while, in the affective domain,
competencies in mathematics are more than the abilities to perform observable tasks. Rather, the
focus of the affective competencies lies in the direction, the degree and the levels of intensities of
affect constructs (or their variables) that will define mathematical competencies within the
affective domain. Evidentiary (qualitative) data from this study supported the contention that
affect does influence the learning of mathematics since there were distinct patterns in the overall
expressions of participants towards this aspect of the research.
The acknowledgment of the concerns of student teachers during field practicum could possibly
help in ameliorating these concerns through the identification of what student teachers were
mostly concerned about when teaching Mathematics and how, by addressing these concerns, could help improve their teaching skills and abilities. Based on the quantitative evidence, the three subscales
of self, task and impact used in the Student Concerns Questionnaire (SCQ) were modified
on the basis of factor analysis to a two-factor model (concerns about self-benefit and concerns
about learner-benefit). Some of the statistical results were integrated with the narrative data to
provide substantive support for the expressions of student teachers. No classical trends, as noted in
the concerns theory, could be detected in this study. It was statistically inferred that a majority of
Mathematics student teachers who participated in this study were moderately concerned about
most of the concerns statements noted in each of the items on the SCQ. In addressing the variable
quality of the learning material the study focused on the development and the use of social context
learning packages. The utilisation of these learning packages (in an intervention strategy) was
aimed at strengthening social context knowledge and education, and explored its role in the
translation (if any) of student teacher concerns within a hierarchical spectrum. The evidence on
how student teachers perceived the use of these learning packages was recorded during the
interviews. Analyses of the verbal data revealed that the participating student teachers agreed with
the use of social context learning packages as part of their Mathematics lessons. In sum, the need
to prepare effective Mathematics teachers and raise the academic calibre of prospective
Mathematics teachers was fundamental to the overall design of this study. It is trusted that
curriculum planners and designers will consider the recommendations of this study to address the
so-called inadequacies within the education system of South Africa. / Thesis (PhD (Mathematics Education))--North-West University, Potchefstroom Campus, 2013
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Nimsiede en sosiale transformasie : ’n histories-kritiese en affektiewe studie van Psalm 15 / The Nimsides and social transformation : a historical-critical and affective study of Psalm 15)De Lange, Daniel Petrus 11 1900 (has links)
Text in Afrikaans / Die Nimsiede het gedurende die laat 9de en vroeë 8ste eeue oor Israel geregeer. Psalm 15 is waarskynlik gedurende die 8ste eeu, tydens die regering van koning Jerobeam II geskryf. ’n Mondelinge tradisie het in die tyd van die Omriede ontstaan en is gedurende die Nimsiede-periode voortgesit . Psalm 15 reflekteer iets van die sosio-ekonomiese konteks van hierdie tydperk. ’n Analise word gedoen om ’n moontlike verbinding met die regering van die Nimsiede te bevestig. ’n Analise word ook gedoen van die emosies wat in die psalm uitdrukking vind. / Old Testament and Ancient Near Eastern Studies / M. Th. (Old Testament)
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Selfverwysing as supervisieproses : ontwikkeling van die interne supervisorMeyer, Gert Frederick 09 1900 (has links)
Text in Afrikaans / Die objek van studie in hierdie proefskrif is ietwat
ongewoon. Die studie is outobiografies en is gegrond op die
aanname dat daar tussen die psigoterapeut, sy geskiedenis, die
wetenskap (etnografie en tweede-orde kubernetika) en die
klient(e) 'n unieke patroonverband bestaan.
Die psigoterapeut in die platteland het weens afstand of
finansies nie altyd die voorreg om supervisie van 'n eksterne
supervisor te ontvang nie. In so 'n situasie kan selfsupervisie,
deurdat dit 'n proses van selfontdekking is, 'n belangrike rol in
die psigoterapeut se selfontwikkeling speel. Selfsupervisie
plaas die klem op die psigoterapeut as persoon en as terapeut;
oor wie hy is, waar hy vandaan kom en waarheen hy binne die
psigoterapeutiese proses op pad is.
Vir enige psigoterapeut is dit belangrik om na 'n hoer vlak
van psigoterapie te streef. Hierdie strewe impliseer 'n proses
van selfondersoek, delwing, selfevaluasie en disseksie. Hierdie
proses is aan die hand van dagboekinskrywings gedoen, waar die
psigoterapeut sy daaglikse ervarings en gebeurtenisse vanuit die
verlede interpreteer het. Dit plaas die psigoterapeut as
hoofspeler, met sy familiegeskiedenis en huidige interpersoonlike
opset as inherente deel van sy mondering, op die voorgrond. In
hierdie proses word die psigoterapeut sentraal geplaas met die
klem op eie verantwoordelikheid met betrekking tot die proses van
selfsupervisie.
Die probleme wat deur hierdie persoonlik gekleurde,
wetenskaplike studie aangespreek word, is probleme wat die
psigoterapeut deur middel van sy selfsupervisie ge1dentifiseer
het. So 'n selfondersoek lei tot 'n diepere selfkennis wat die
psigoterapeut tot voordeel van homself, sy gesinsisteem en
klientsisteem kan gebruik.
Hierdie studie is 'n poging om 'n nuwe wyse van navorsing te
identifiseer. Dit is omvattend en lei tot persoonlike vervulling
asook diepere selfkennis en is 'n man waardeur ander
psigoterapeute ook hulself en hul werelde kan ontdek. Dit is 'n
stadige en pynlike proses.
Hoofstukke 1 tot 4 is die teoretiese, wetenskaplike
beredenering van die studie en hoofstukke 5 tot 12 is 'n
uitbeelding van die geskiedenis van die psigoterapeut. Hoofstuk
13 plaas selfsupervisie as selfevalueringsmetode binne die
psigoterapeutiese beroep. / The object of this study somewhat unusual. The study is
an autobiography based on the assumption that there exists an
unique patterned connection between the psychotherapist, his
history, science (ethnography and second-order cybernetics), and
his clients.
Due to distance or financial problems, a rural
psychotherapist cannot experience the privilege of supervision
with an external supervisor. In such a situation selfsupervision
could play an important role in the self-development,
because it includes a search of self that will lead to more
effectiveness in psychotherapy. Self-supervision focuses on the
psychotherapist as a person and therapist, who he is, where he
comes from, and in what direction he, as a psychotherapist, is
developing within the psychotherapeutic process.
It is important to any psychotherapist to strive towards a
higher level of psychotherapy. This implies a process of selfinvestigation,
dissection and self-evaluation. This process was
conducted by means of diary entries in which the psychotherapist
interpreted his daily experiences and events in terms of his
past. This places the psychotherapist, with his family history
and current interpersonal situation, as intrinsic parts of
himself, in the foreground. In this process the psychotherapist
takes centre stage with emphasis on his responsibility concerning
the process of self-supervision.
The problems addressed by this personally coloured,
scientific study, are problems that the psychotherapist
identified through the process of self-supervision and
introspection. Such introspection leads to a deeper personal
knowledge which the psychotherapist can use to his own benefit
but also to the benefit of his family and client system.
This study is an attempt to identify a new way of research.
It is comprehensive and leads to personal fulfilment and deeper
self-knowledge and is also a method by which other
psychotherapists could discover themselves and their worlds. It
is a slow and painful process.
Chapters 1 to 4 comprise of the theoretical rationale of the
study and chapters 5 to 12 depict the history of the
psychotherapist. Chapter 13 situates self-supervision as a
method of self-evaluation in the profession of psychotherapy. / Psychology / D. Litt. et Phil.
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Die effek van leierskap op verandering in 'n nie-winsgewende organisasieViljoen, Aletta Magrietha 11 1900 (has links)
Text in Afrikaans, summary in Afrikaans and English / Hierdie studie is onderneem om die effek van leierskap op verandering in 'n nie-winsgewende
organisasie te bepaal. 'n Literatuur- en 'n empiriese studie is onderneem. Literatuur beklemtoon
dat verandering 'n realiteit in 'n organisasie is, 'n veranderingsagent die proses moet dryf en dat
die transformasieleierskapstyl die gewenste styl vir veranderingsbestuur is. Navorsing toon dat
verandering vanwee ekstreme invloede wel voorkom. Verwarring ten opsigte van wie die rol en
verantwoordelikheid as veranderingsagent moet vertolk kom egter in die navorsing na vore. Die
wyse en frekwensie waarop kommunikasie ten opsigte van verandering plaasgevind het, word oor
die algemeen positief deur die respondente ervaar, maar respondente toon egter ook positiewe en
negatiewe gedragsreaksies aan ten opsigte van verandering. Respondente toon dat die
transformasieleierskapstyl met leierskapsgedrag/-kenmerke wat verband hou met integriteit,
toeganklikheid en objektlwiteit hul tot deelname aan verandering motiveer. Navorsing toon ook
dat leierskapspotensiaal en die behoefte aan leierskapsontwikkeling by respondente teenwoordig
is. Navorsing het bevestig dat leierskap 'n effek op verandering in 'n nie-winsgewende organisasie het. / This research aims to establish whether leadership has an effect on change in a not-for-profit
organisation. A literature and empirical study were conducted. Literature indicated that change in
organisations is a reality and that organisations need to appoint change agents in order to facilitate
the change process. Research has shown that change in not-for-profit organisation was caused by
external influences and indicated that confusion exists as to whom the role and responsibility of
change agent belongs to. Respondents indicated that they were generally positive about the
frequency and way in which change was communicated but they indicated both positive and
negative behavioral reactions to change. The transformational leadership style is highlighted as
the best leadership style to manage change. The transformational leadership style with leadership
behavior such as integrity, approachability and objectivity motivates respondents to participate in
the change process. Research also indicated that respondents have leadership potential and have
a need for leadership development. This study confirmed that leadership has an effect on change in a not-for-profit organisation. / Social Work / M.Diac. (Maatskaplike Werk-rigting)
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Die impak van die finansiële beleid vir ontwikkelingsgerigte maatskaplike welsyn (1999) op maatskaplike dienslewering in Atteridgeville (Afrikaans)Venter, Maryke Elisabet 16 April 2004 (has links)
The White Paper for Social Services (1997) is the foundation upon which the transformation of social services is built. In order to assist organizations in the paradigm shift which has to be made from the remedial approach to a developmental approach in the rendering of social services, the Financing Policy for Developmental Social Welfare Services was implemented in 1999. The purpose of the study was to evaluate the impact of the Financing Policy (1999) on the social services of a particular community, Atteridgeville in the Gauteng Province. In order to research the impact of the Financing Policy (1999) on the social services in the above mentioned community this study used both social workers and members of the community as respondents. Eight social workers of Non- governmental Organisations (NGOs) as well as twenty four members of the community participated in the study. Data was collected both quantitatively and qualitatively. The findings of the research showed that, although social workers in Atteridgeville endorse the principles of the Financing Policy (1999) the principles are not clearly discernible in the services rendered in the community. Although social workers are very positive about implementation of the Financing Policy (1999), research showed quite clearly that social services rendered in the community focus primarily on statutory services and not on prevention or early intervention. The primary recommendation of this study is that the Department of Social Development take cognicance of the limitations in the implementation of the Financing Policy (1999) as indicated by this study. This knowledge can be implemented in processes being used to reformulate the Financing Policy (1999) as is currently being done. / Dissertation (MSD (Social Development and Policy))--University of Pretoria, 2005. / Social Work and Criminology / unrestricted
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‘n Literatuur teologiese ondersoek na die liturgie en die post-moderne senior kind / tiener (Afrikaans)Steyn, Conrad Johan 17 June 2005 (has links)
The scrip involves a literature study to determine how the covenant child / teenager is accommodated in the Reformed church today versus his/her actual need. The question is posed: Is the covenant child accommodated in any way in our current format of church liturgy, or not? Globalisation has made such an impact on the youth of today (postmodern youth or Mosaics) that digital technology has become their focus. Has the church adapted to this? The findings in this script show that the Reformed churches are losing particularly the youth because they have not adapted fast enough to this technology and to the cultural change that is evident in the postmodern child / teenager. The study is not only about the child in the church, but what the child looks like (his / her postmodern attitude / lifestyle) that we want in the church service and what change we need to make to the liturgy of the Reformed church in order to accommodate them. During this study it was also very evident that we need to change the way in which we spread the Word, and not the Word itself. The Truth remains the same – the culture, technology, attitudes, communication methods and intellectual and emotional needs change constantly. And the change is happening at such an alarming rate that we cannot ever think that we have reached the perfect solution. Before we have found the answer, it has changed. We therefore need to constantly re-look at our presentation style. This however does not excuse us from making changes. We need to change with the times and much faster than is currently the norm. The study reveals that the Reformed church currently has a mono-perspective of the liturgy. What is needed is a multi-disciplinary approach when we worship God. It is not only about the child in the church, it is about the place of the church service in the child’s life amidst the enormous impact of culture and digital technology that they are faced with everyday. How can we attempt to be relevant if we still preach as we did 100 years ago? Although the majority of the information that is available on this subject comes from America, the writer believes that it is very relevant to the Reformed churches in South Africa. Further study and research will be needed to determine the exact needs of the South African child / teenager and how to address this. / Dissertation (MA (Theology))--University of Pretoria, 2006. / Practical Theology / unrestricted
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Narratief-pastorale terapie met hartpasiënteTruter, Cornelius Johannes 30 November 2002 (has links)
Text in Afrikaans / Coronary artery disease (CAD) is a life-threatening disease. When heart patients in the treatment of their disease, due to certain subjugating discourses practised by the biomedical model or biomedicine, are treated in a way that contributes to their anxiety and they feel themselves marginalised by society, then CAD becomes even more threatening. The narrative-pastoral approach of this study aims to treat heart patients in a way that has a calming effect on them that could assist them to deal with their heart disease more efficiently. This study shows how a heart patient's illness stories can be centralised by means of narrative therapy and how a pastoral and ethical attitude of love and respect can produce a climate that's conducive to better health and well-being.
I indicate how my methodology of participatory action research succeeds in making the heart patients active participants to the research project. Their active participation indicates that meaning is not created on their behalf in therapy; rather, they are responsible for the process of richer construction of meaning. I describe how the participants socially co-constructed alternative and richer descriptions of their illness. Futhermore, I point out how their richer descriptions of illness contribute to perceptible and measurable results that are of value to the heart patients. / Koronere hartvatsiekte (KHS) is 'n lewensbedreigende siekte. Wanneer hartpasiente
in die behandeling van hul siekte vanwee sekere onderdrukkende diskoerse van siekte
vanuit die biomediese model of biomedisyne s6 hanteer word dat dit spanning op hul
plaas en deur die samelewing gemarginaliseer word, word KHS des te meer gevaarlik.
In hierdie studie gaan dit oor 'n narratief-pastorale benadering wat hartpasiente op 'n
kalmerende manier hanteer sodat hulle kan kom tot 'n meer doeltreffende hantering
van hul hartsiekte. Hierdie studie toon aan hoe hartpasiente se siekteverhale deur
middel van narratiewe terapie gesentreer word en hoe 'n etiese en pastorale gesindheid
van liefde en respek 'n klimaat skep wat bevorderlik is vir beter gesondheid en
welwese.
Ek dui aan hoe my metodologie van deelnemende aksienavorsing daarin geslaag het
om die hartpasiente aktiewe deelnemers te maak aan die navorsingsprojek. Hul
aktiewe deelname impliseer dat betekenis nie in terapie vir hulle geskep word nie,
maar dat hulle self skeppend betrokke is in die proses van ryker betekeniskonstruering.
Ek beskryf hoe die deelnemers altematiewe en ryker beskrywings van
hul siekte sosiaal ko-konstrueer. Ek dui verder aan hoe hul ryker beskrywings van
siekte bydra tot sigbare en meetbare resultate wat vir hartpasiente van waarde is. / Practical Theology / D. Th. (Praktiese Teologie)
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Narratief-pastorale terapie met hartpasiënteTruter, Cornelius Johannes 30 November 2002 (has links)
Text in Afrikaans / Coronary artery disease (CAD) is a life-threatening disease. When heart patients in the treatment of their disease, due to certain subjugating discourses practised by the biomedical model or biomedicine, are treated in a way that contributes to their anxiety and they feel themselves marginalised by society, then CAD becomes even more threatening. The narrative-pastoral approach of this study aims to treat heart patients in a way that has a calming effect on them that could assist them to deal with their heart disease more efficiently. This study shows how a heart patient's illness stories can be centralised by means of narrative therapy and how a pastoral and ethical attitude of love and respect can produce a climate that's conducive to better health and well-being.
I indicate how my methodology of participatory action research succeeds in making the heart patients active participants to the research project. Their active participation indicates that meaning is not created on their behalf in therapy; rather, they are responsible for the process of richer construction of meaning. I describe how the participants socially co-constructed alternative and richer descriptions of their illness. Futhermore, I point out how their richer descriptions of illness contribute to perceptible and measurable results that are of value to the heart patients. / Koronere hartvatsiekte (KHS) is 'n lewensbedreigende siekte. Wanneer hartpasiente
in die behandeling van hul siekte vanwee sekere onderdrukkende diskoerse van siekte
vanuit die biomediese model of biomedisyne s6 hanteer word dat dit spanning op hul
plaas en deur die samelewing gemarginaliseer word, word KHS des te meer gevaarlik.
In hierdie studie gaan dit oor 'n narratief-pastorale benadering wat hartpasiente op 'n
kalmerende manier hanteer sodat hulle kan kom tot 'n meer doeltreffende hantering
van hul hartsiekte. Hierdie studie toon aan hoe hartpasiente se siekteverhale deur
middel van narratiewe terapie gesentreer word en hoe 'n etiese en pastorale gesindheid
van liefde en respek 'n klimaat skep wat bevorderlik is vir beter gesondheid en
welwese.
Ek dui aan hoe my metodologie van deelnemende aksienavorsing daarin geslaag het
om die hartpasiente aktiewe deelnemers te maak aan die navorsingsprojek. Hul
aktiewe deelname impliseer dat betekenis nie in terapie vir hulle geskep word nie,
maar dat hulle self skeppend betrokke is in die proses van ryker betekeniskonstruering.
Ek beskryf hoe die deelnemers altematiewe en ryker beskrywings van
hul siekte sosiaal ko-konstrueer. Ek dui verder aan hoe hul ryker beskrywings van
siekte bydra tot sigbare en meetbare resultate wat vir hartpasiente van waarde is. / Philosophy, Practical and Systematic Theology / D. Th. (Praktiese Teologie)
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Handboekouteurs en wiskunde-onderwysers se inlyninterpretasie van die wiskundekurrikulum vir effektiewe klaskamerpraktykVan der Merwe, Wynand Johannes 10 1900 (has links)
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)
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