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Cooke, Teman H. "Algebraic structure of central force problems." Diss., Georgia Institute of Technology, 2002. http://hdl.handle.net/1853/28028.
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Souza, Maria Alice Veiga Ferreira de. "Solução de problemas : relações entre habilidade matematica, representação mental, desempenho e raciocinios dedutivo." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/253744.
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Orientador: Marcia Regina Ferreira de BritoTese (doutorado) - Universidade Estadual de Campinas, Faculdade de Educação
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Resumo: A presente pesquisa explorou as relações entre o desempenho no ENADE 2005, o desempenho no EGRAF e o raciocínio dedutivo de 141 estudantes ingressantes e concluintes da Ciência da Computação quando envolvidos em atividades que exploraram o pensar matemático. Os instrumentos foram o exame do ENADE, o exame do EGRAF e o teste psicológico GfRLD. Além disso, doze desses sujeitos foram submetidos a uma testagem individual de alguns componentes da habilidade matemática e a representação mental, além das variáveis estudadas para os 141 estudantes. Para a habilidade e a representação foram utilizados cinco problemas da série XIX-B de Krutetskii e uma entrevista semi-estruturada. Durante a aplicação do teste de Krutetskii, os doze estudantes foram solicitados a pensar em voz alta. Foram feitas anotações complementando informações não captadas via gravação de voz e imagem. Os principais resultados mostraram que nove dos doze estudantes foram considerados mais habilidosos e apresentaram uma tendência para representar os problemas de maneira proposicional. Essa representação sempre que usada por estudantes que dominavam os elementos do problema e suas relações levavamnos ao sucesso em suas soluções. Os desempenhos desses estudantes no ENADE não indicaram estar associados ao fato de serem ingressantes ou concluintes, mas relacionados ao desempenho em nível acadêmico. O raciocínio dedutivo diferiu significativamente entre estudantes concluintes e ingressantes e, dentre os bem e mal sucedidos em atividades acadêmicas. De uma maneira geral, os 141 estudantes tenderam a apresentar associação entre os desempenhos do ENADE e os do EGRAF, que avaliam as inteligências fluido-cristalizadas e cristalizadas, respectivamente
Abstract: he present research explored the relations between the performance in ENADE 2005, the performance in EGRAF and the deductive reasoning of 141 Freshman and Senior students of the Computer Science course when involved in tasks that explored the mathematic thinking. The instruments were the ENADE exam, the EGRAF exam and the psychological test GfRLD. In addition, twelve of those students were submitted to an individual test of some mathematical ability components and the mental representation, over there the variables studied for the 141 students. For the ability and the representation five of Krutetskii's serie XIX- B series problems and a semi structurated interview were used. During the application of the Krutetskii's test, the twelve students were invited to think out loud. Notes were made to complement information not captured by the voice and image videotape. The main results showed that nine out of twelve students were considered more skilful and presented a tendency to represent the problems in a propositional way. This representation when used by students that dominated the elements of the problem and its relations took them to success in their solutions. Those students' performances in ENADE indicated no association with the fact that they were Freshmen or Senior students, but they were related with the level academic performance. The deductive reasoning differed significantly between Freshmen and Senior students and, between well and bad succeeded in academic tasks. In general, the 141 students tended to present association between ENADE performance and EGRAF performance, that evaluate the fluid-crystallized and crystallized intelligences, respectively
Doutorado
Psicologia, Desenvolvimento Humano e Educação
Doutor em Educação
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Agnolini, Ana Carolina Liberalesso. "Em função da escrita : uma experiencia com exercicios de analise linguistica em sala de aula." [s.n.], 2007. http://repositorio.unicamp.br/jspui/handle/REPOSIP/269464.
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Orientador: Maria Augusta Bastos de MattosDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Estudos da Linguagem
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Resumo: Esta pesquisa teve como objetivo analisar a importância de se trabalhar uma fase intermediária, que estaria entre a escrita e a reescrita, de um texto narrativo. A partir de um texto narrativo produzido por meus alunos de uma 6ª série de um colégio da rede particular de ensino, elaborei seis exercícios que envolviam recursos lingüísticos que fazem parte do conteúdo programático desta série, que neste trabalho são chamados de exercícios de análise lingüística, apliquei esses exercícios em momentos distintos das aulas de Língua Portuguesa e observei de que maneira eles fizeram uso dos recursos lingüísticos nas duas vezes em que reescreveram o texto narrativo produzido individualmente por eles. É importante ressaltar que as reescritas não foram corrigidas em nenhum momento por mim. que, além de pesquisadora, era professora da turma. De trinta textos escritos e reescritos, oito foram selecionados para a análise. Foram analisadas a primeira e a última versão do texto narrativo. Foi possível observar que os alunos não só modificaram seus textos considerando os exercícios de análise lingüística como também fizeram alterações de ordem gramatical nas reescritas
Abstract: This research aimed to analyze the importance of working an intermediate phase, which would be between the writing and rewriting in a narrative text. Starting from a text produced by my 6th grade students , from a private school I prepared six exercises that involved linguistic resources that are part of the programmatic content of this grade, which is called in this work, exercises of linguistic analysis. I assigned these exercises in different moments of the Portuguese classes , and I observed how they used the linguistic resources on the two moments they rewrote the narrative text , individually produced by themselves. It's important to emphasize that the rewritings were not corrected at any moment by myself , who besides being a researcher , was also their class teacher. Eight out of the thirty rewritten texts were selected for analyses. It was analyzed the first and last version of the narrative text. It was possible to notice that the students not only changed their texts , considering the exercises of linguistic analysis , but also the grammatical order in the rewriting
Mestrado
Ensino-Aprendizagem de Lingua Materna
Mestre em Linguística Aplicada
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Morais, Maria das Dores de. "Papel da compreensão leitora na resolução de problemas matemáticos." Universidade Católica de Pernambuco, 2010. http://www.unicap.br/tede//tde_busca/arquivo.php?codArquivo=498.
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Alguns instrumentos avaliativos, aplicados aos alunos brasileiros do ensino fundamental (EF), têm mostrado que eles apresentam um fraco desempenho na resolução de situações -problemas de matemática. Segundo os indicadores, os alunos têm concluído a 48 série do Ensino Fundamental (EF) com sérias deficiências em relação aos conteúdos específicos de Matemática. Quando procuramos justificativas para as lacunas existentes na apreensão dos conteúdos da Matemática, existe uma tendência a atribuir grande parte do fracasso dos alunos às metodologias baseadas em técnicas e métodos tradicionais. Visando a mudar o quadro, reformas curriculares apontam para uma abordagem baseada na exposição do aluno a situações-problemas, estimulando o
discente a propor soluções com base nas relações existentes entre o conhecimento matemático, o conteúdo correntemente apresentado e situações concretas do dia-a-dia. Contudo, resultados de avaliações de desempenho de alunos no que diz respeito à Matemática têm revelado que o aluno pode demonstrar dificuldades para compreender as situações-problemas a ele apresentados, o que indica que as dificuldades podem não se limitar simplesmente à falta de conhecimento matemático. O presente Trabalho teve como objetivo investigar se a competência leitora dos alunos interfere na compreensão dos enunciados dos problemas de Matemática. Para o desenvolvimento da Pesquisa, utilizamos, além dos princípios metodológicos de resolução de situações-problemas, considerações teóricas sobre a leitura, acrescidas às contribuições da Lingüística Textual. Para alcançarmos os objetivos do Trabalho, realizamos uma investigação em uma turma de quarta série do EF numa escola municipal de Jaboatão dos Guararapes- PE. Quanto à metodologia, foram realizadas duas atividades para avaliar a compreensão leitora dos alunos e outra para verificar as dificuldades desses alunos quanto à resolução dos problemas matemáticos. Também foi empregado o Teste de Cloze, cujo resultado foi utilizado para agrupar os alunos. Os grupos foram então caracterizados com relação entre a compreensão leitora e à resolução dos problemas matemáticos para avaliarmos a relação entre a compreensão leitora e a resolução dos problemas. A partir da análise das habilidades de cada grupo, pôde-se observar que o baixo desempenho apresentado na resolução dos problemas não está ligado apenas a limitações de cunho eminentemente matemático, mas há uma relação com a baixa competência em leitura observadaSome estimatory instruments, applied to Brasilian basic teaching (BS) students, have shown up displayed that they present a weak performance in mathematics situations problems solution. According to indicators, the students have concluded their BS fourth series, with serious deficiencies regarding to mathematics specifical contents. As we search justifications for these existing gaps in these contents apprehension, understanding, there is a propensity to ascribe most of these failures to methodologies based on traditional know-hows techiniques and methods. Aiming at changing this frame situation, some school curricula reformulations improvements point out to an approaching founded, based on the student exposure to situations-problems, stimulating, encouraging the student, the learning people proposing solutions based on existing rapports between mathematical knowledge, the currently presented content and day by day concrete situations. However, his/her performance evaluations results on Mathematics have revealed displayed that the student con show out manifest some difficulties to understand the situations-problems presented to him/her, which denotes that his/her difficulties can go beyond the mathematical knowledge absence dack. This work aimed at researching whether the students reading skill competency interferes in the mathematics problems enuntiates comprehension. For this research performance, we have used employed beyond the situations-problems solution methodological principles, theoretical considerations regarding to reading, enlarged added- by the textual linguistics contributions. In order to achieve attain this work aims, we have fulfilled an investigation in a BS fourth Series shift, belonging to Jaboatão dos Guararapes/PE `S teaching municipal network. Regarding to the methodology, we have accomplished two activities in order to evaluate the students reading comprehension and another one in order to verify these difficulties as for the mathematical problems solution. We have also employed Clozes Test of which result was used in order to put together the students of the groups were then characterized as for the reading comprehension and mathematical problems solution. From each group habilities, skills analysis, we were able observing that the low performance, presented in the problems solution is connected only with straightly mathematical nature limitations, but there is a strict relation with low skill, competency in observed reading
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Penlington, Thomas Helm. "Exploring learners' mathematical understanding through an analysis of their solution strategies." Thesis, Rhodes University, 2005. http://hdl.handle.net/10962/d1007642.
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The purpose of this study is to investigate various solution strategies employed by Grade 7 learners and their teachers when solving a given set of mathematical tasks. This study is oriented in an interpretive paradigm and is characterised by qualitative methods. The research, set in nine schools in the Eastern Cape, was carried out with nine learners and their mathematics teachers and was designed around two phases. The research tools consisted of a set of 12 tasks that were modelled after the Third International Mathematics and Science Study (TIMSS), and a process of clinical interviews that interrogated the solution strategies that were used in solving the 12 tasks. Aspects of grounded theory were used in the analysis of the data. The study reveals that in most tasks, learners relied heavily on procedural understanding at the expense of conceptual understanding. It also emphasises that the solution strategies adopted by learners, particularly whole number operations, were consistent with those strategies used by their teachers. Both learners and teachers favoured using the traditional, standard algorithm strategies and appeared to have learned these algorithms in isolation from concepts, failing to relate them to understanding. Another important finding was that there was evidence to suggest that some learners and teachers did employ their own constructed solution strategies. They were able to make sense of the problems and to 'mathematize' effectively and reason mathematically. An interesting outcome of the study shows that participants were more proficient in solving word problems than mathematical computations. This is in contrast to existing research on word problems, where it is shown that teachers find them difficult to teach and learners find them difficult to understand. The findings of this study also highlight issues for mathematics teachers to consider when dealing with computations and word problems involving number sense and other problem solving type problems.
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Jacobs, Cecilia. "Evaluating the LEAP experience using a contextually oriented model." Thesis, Cape Technikon, 1998. http://hdl.handle.net/20.500.11838/1862.
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Thesis (MTech(Education))--Cape Technikon, 1998This study presents a model for the evaluation of educational innovation in a context of transformation. The model incorporates formative, summative and illuminative evaluation goals and emphasises the need to locate the innovation which is being evaluated within the context and policy framework of its operation. The evaluation framework provided by the model takes into account the full range of variables impacting on innovative educational practice and subjects the innovation, along with its transforming educational context, to the scrutiny of evaluation. The ten-stage generalised evaluation model is presented as a framework for the evaluation of any type of educational innovation. In this study the model is applied to the evaluation of an innovative intervention, LEAP (Learning in English for Academic Purposes), at a tertiary institution in South Africa. The LEAP course aims to develop English academic literacy skills in students, foster student-centred learning and teaching and promote the transfer of academic literacy skills across the curriculum. The background to, theoretical underpinnings and development of the course are expanded on in the study. In line with the model, the LEAP intervention is located within the context and policy framework of its academic context. The principal stakeholders in the LEAP intervention are identified. They are used as sources to identify the aspects of LEAP to be evaluated, as well as to identify the criteria for evaluation. An eclectic approach is adopted in the evaluation of the LEAP course. Both quantitative and qualitative data collection methods are employed, using a variety of instruments. A range of sources is consulted to cross-validate the analysis of the data, and recommendations are made on the basis of conclusions drawn from the interpretation of the data. The final section of the study reflects on the whole evaluation process and areas for further research are also discussed.
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Yuen, Kin-sun, and 袁建新. "Solving mathematical problems: a verificationof a spatial representation model." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1988. http://hub.hku.hk/bib/B31231470.
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Cruz, Paulo Henrique Correia Araújo da 1983. "Funções no 1º ano do ensino médio." [s.n.], 2015. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305997.
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Orientador: Anamaria GomideDissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica
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Resumo: Tornar o ensino dos conteúdos de matemática significativo para os alunos do Ensino Médio é um dos desafios que os atuais professores brasileiros tem enfrentado durante suas aulas. Diante disso, considerando que a matemática é uma ciência de observação e abstração e que as funções reais fazem parte do currículo de matemática do 1º ano do Ensino Médio, propomos como metodologia de ensino a abordagem das principais funções reais ¿ afim, quadrática, exponencial, logarítmica ¿ e suas respectivas representações gráficas a partir de situações-problema do cotidiano. Posteriormente a identificação de qual expressão se adequa à situação, discutimos as principais características dessa função e como elas se relacionam com o cotidiano descrito. Além disso, apresentamos alguns exercícios inéditos e de processos de seleção universitária, que tanto exemplificam qual tipo de questão pode ser usada como avaliação, como demonstram o alinhamento deste método com o Exame Nacional do Ensino Médio (Enem), principal avaliação do governo federal deste segmento da educação básica. Por fim, discutimos uma importante função real presente nas ciências biológicas, a equação logística. Após relembrar historicamente como ocorreu sua conceituação aplicamos a metodologia proposta apresentando a expressão a partir de situações-problema. Feito isto, analisamos as possíveis variações gráficas e o que cada um significa do ponto de vista prático
Abstract: Make the teaching of significant Mathematical content for High School students is one of the challenges that the current Brazilian teachers have faced during their classes. Therefore, considering that Mathematics is a science of observation and abstraction and the real functions are part of the Mathematics curriculum of the 1st year of High School, we propose as a teaching methodology addressing the major real functions - linear, quadratic, exponential, logarithmic - and their graphical representations from everyday problem situations. Later determining which expression suits the situation, we discuss the main features of this function and how they relate to the described daily. In addition, we present some exercises, unpublished and university selection processes that both exemplify the kind of question can be used as evaluation, as demonstrated alignment of this method with the National Secondary Education Examination (Enem), the main assessment of the federal government this segment of basic education. Finally, we discuss an important real function present in the Biological Sciences, the logistic equation. After recall occurred historically as its conceptualization apply the proposed methodology showing the expression from problem situations. This done, we analyze the possible graphical variations and what each means from a practical point of view
Mestrado
Matemática em Rede Nacional
Mestre em Matemática em Rede Nacional
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Remsing, Claidiu Cristian. "Tangentially symplectic foliations." Thesis, Rhodes University, 1994. http://hdl.handle.net/10962/d1005233.
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This thesis is concerned principally with tangential geometry and the applications of these concepts to tangentially symplectic foliations. The subject of tangential geometry is still at an elementary stage. The author here systematises current concepts and results and extends them, leading to the definition of vertical connections and vertical G-structures. Tangentially symplectic foliations are then characterised in terms of vertical symplectic forms. Some significant particular cases are discussed.
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Pham, Chuong Hoang. "How to improve students' problem solving skills: K-4." CSUSB ScholarWorks, 1994. https://scholarworks.lib.csusb.edu/etd-project/933.
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Deragisch, Patricia Amelia. "Electronic portfolio for mathematical problem solving in the elementary school." CSUSB ScholarWorks, 1997. https://scholarworks.lib.csusb.edu/etd-project/1299.
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Electronic portfolio for mathematical problem solving in the elementary school is an authentic assessment tool for teachers and students to utilize in evaluating mathematical skills. It is a computer-based interactive software program to allow teachers to easily access student work in the problem solving area for assessment purposes, and to store multimedia work samples over time.
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Umar, Abdullahi. "Semigroups of order-decreasing transformations." Thesis, University of St Andrews, 1992. http://hdl.handle.net/10023/2834.
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Let X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial one-to-one) transformations has been reduced to that of order-decreasing full (partial, partial one-to-one) transformations and the study of order-decreasing partial transformations to that of order-decreasing full transformations for both the finite and infinite cases. For the finite order-decreasing full (partial one-to-one) transformation semigroups, we obtain results analogous to Howie (1971) and Howie and McFadden (1990) concerning products of idempotents (quasi-idempotents), and concerning combinatorial and rank properties. By contrast with the semigroups of order-preserving transformations and the full transformation semigroup, the semigroups of orderdecreasing full (partial one-to-one) transformations and their Rees quotient semigroups are not regular. They are, however, abundant (type A) semigroups in the sense of Fountain (1982,1979). An explicit characterisation of the minimum semilattice congruence on the finite semigroups of order-decreasing transformations and their Rees quotient semigroups is obtained. If X is an infinite chain then the semigroup S of order-decreasing full transformations need not be abundant. A necessary and sufficient condition on X is obtained for S to be abundant. By contrast, for every chain X the semigroup of order-decreasing partial one-to-one transformations is type A. The ranks of the nilpotent subsemigroups of the finite semigroups of orderdecreasing full (partial one-to-one) transformations have been investigated.
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Gaspareti, Leandro. "O Santo Graal da matemática: a hipótese de Riemann." Universidade Tecnológica Federal do Paraná, 2014. http://repositorio.utfpr.edu.br/jspui/handle/1/1015.
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CAPESEste trabalho traz um relato a respeito da Hipótese de Riemann, com o objetivo de tornar os conceitos referentes a esse problema acessíveis ao professor da educação básica, que pretenda abordá-los em sala de aula quando tratar de conteúdos a ele relacionados. A pesquisa foi inteira bibliográfica, apoiada em sua grande parte em textos de História da Matemática, tornando este trabalho divulgador dos problemas que ocupam parte das pesquisas matemáticas deste século, em especial da Hipótese de Riemann.
This study presents a report about the Riemann Hypothesis, leaving the underlying concepts behind this problem more accessible to a high school teacher. The literature review was based mainly on History of Mathematics texts. This research aims to study significant topics of mathematical research throughout this century, particularly to popularize the Riemann Hypothesis.
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Fraser, Claire Anne. "The development of the common fraction concept in grade three learners." Thesis, Rhodes University, 2001. http://hdl.handle.net/10962/d1003379.
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Over a period of nine months in 1999, a longitudinal teaching intervention was undertaken with Grade 3 learners in the Fort Beaufort district, Eastern Cape. Working in the interpretive paradigm, the intervention focussed on: - the development of the common fraction concept, - the relevance of the hierarchy of Murray and Olivier’s Four Levels of Development in common fractions and - whether learners’ informal knowledge could be utilised in developing this concept. Using the Problem-centred approach to teaching mathematics, problems set in reallife contexts were used as vehicles for learning. Learners were required to discuss, reflect and make sense of the mathematics they were doing. Participant observation, completed worksheets and unstructured interviews with learners, formed the primary method of data collection. Learners’ work was analysed and classified according to the method used and manner in which the solution was notated. Results showed that learners were able to achieve a significant degree of success in developing a stable common fraction concept. Learners were afforded opportunities to construct their own ideas and to develop a deeper understanding of the concept. Many methods used were based on their informal knowledge of sharing. Learners made sense of realistic problems using drawings, and invented their own procedures. Apart from Level One, Phase Three, all Murray and Olivier’s Levels of Development could be identified during the research. This study will provide educators with valuable information on how learners solve mathematical problems involving fractions and how informal knowledge can be used as a foundation on which to build.
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Taylor, Allen Vernon. "Investigating the difficulties of first year mainstream mathematics students at the University of the Western Cape with “related rates” problems." Thesis, University of the Western Cape, 2014. http://hdl.handle.net/11394/4655.
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>Magister Scientiae - MScThe aim of the thesis is to research the difficulties that first year mainstream mathematics students at UWC experience when solving Related Rates problems in calculus. In chapter 2, an in-depth study was made of the nature of Related Rates problems by studying a number of examples. The findings of this study are summarized in section 2.12. The study adopted the same model of the solution of all types of Related Rates that was used by Martin (2000) for the solution of geometric Related Rates problems. In chapter 3 of this thesis, many examples were used to illustrate how the seven step solution procedure of the Standard Solution model is applied. In the literature review in chapter 4, the underlying concepts which underpin Related Rates problems are identified and specific examples of research on each of these concepts are given. For example, the review of the literature on word problems is done comprehensively and covers extensively the range of issues involved in this topic. Drawing on the work in chapter 2 on the nature of Related Rates problems, it is explained in chapter 5 why this study is underpinned by Constructivism as a theoretical basis. Chapter 6 of the thesis is devoted to answering the 3 research questions posed in chapter 1. The thesis contains many worked examples of Related Rates problems which can be used by the lecturers assigned to the MAT105 course.
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Lorensatti, Edi Jussara Candido. "Educação e linguagem : os mecanismos coesivos na compreensão de problemas de aritmética." reponame:Repositório Institucional da UCS, 2011. https://repositorio.ucs.br/handle/11338/585.
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Como indicam os Parâmetros Curriculares Nacionais, um dos objetivos do Ensino Fundamental no Brasil é o de que os alunos sejam capazes de questionar a realidade formulando problemas e tratando de resolvê-los (PCN, 1998, p. 27). Na mesma perspectiva, um dos propósitos do terceiro ciclo, que corresponde ao sexto ano do Ensino Fundamental, em Matemática, é o de que os alunos sejam capazes de resolver situações-problema envolvendo números naturais, inteiros, racionais e a partir delas ampliar e construir novos significados para as operações aritméticas (op. cit., p. 64). Assim, a Matemática pode dar sua contribuição à formação do cidadão ao proporcionar a construção de estratégias, a comprovação e a justificativa de resultados (op. cit., p. 27) no desenvolvimento da capacidade para resolver problemas, sejam eles dessa ou de qualquer outra área do conhecimento. O ensino de Matemática não tem só a função evidente de propiciar o desenvolvimento de competências referentes ao manuseio das mais diversas habilidades matemáticas, mas deve ter também a preocupação de promover o desenvolvimento de capacidades como comunicação, argumentação e validação de processos (PCN, 1998, p. 56). Essas, por sua vez, necessitam das habilidades de interpretação e expressão escrita e/ou falada. Aprender a resolver problemas matemáticos na escola é deparar-se com um mundo de conceitos que envolvem leitura e compreensão, tanto da língua materna como da linguagem matemática. A resolução de problemas exige compreensão leitora. Para essa compreensão, o aluno precisa de um referencial linguístico e, para expressar os dados em sentenças matemáticas, de um referencial de linguagem matemática, ambos adequados a cada situação-problema a que for exposto. Oferecer ao aprendiz oportunidades de compreensão do enunciado de problemas, por certo o auxiliarão não só a resolvê-los como também a ampliar e aperfeiçoar o estabelecimento de inferências e de conexões lógicas. Há vários estudos sobre as dificuldades em leitura e sobre as dificuldades na resolução de problemas, separadamente, mas poucos aproximam essas duas áreas do conhecimento. O objetivo desta pesquisa é o de verificar como os mecanismos coesivos, presentes em enunciados de problemas de aritmética, podem se constituir fatores intervenientes na compreensão leitora desses enunciados. Pensa-se ser possível, a partir daí, vislumbrar aproximações entre os estudos sobre língua materna e linguagem matemática, no que tange à compreensão de enunciados de problemas aritméticos. Parte-se do pressuposto de que a não compreensão do enunciado de problemas aritméticos compromete a conversão dos dados apresentados em linguagem matemática e, por conseguinte, a resolução desses problemas.Submitted by Marcelo Teixeira (mvteixeira@ucs.br) on 2014-06-04T17:28:13Z No. of bitstreams: 1 Dissertacao Edi Jussara Candido Lorensatti.pdf: 1009540 bytes, checksum: a7e285134862bc79761c8d5cc583811b (MD5)
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As the Parâmetros Curriculares Nacionais indicate, one of the purposes of Elementary Schools in Brazil is that students should be able to question reality by formulating problems and trying to solve them (PCN, 1998, p. 27). In that same perspective, one of the purposes in Mathematics for the third cycle, which corresponds to the 6th grade in Elementary School, is that students should be able to solve problem-situations involving, natural numbers, whole numbers, and rational numbers and from those situations be able to enhance and build new meanings for arithmetic operations (op. cit., p. 64). Thus, Mathematics can give its contribution to citizens, by providing the construction of strategies, the evidence and justification of results (op. cit., p. 27) towards the development of the capacity of solving problems, whether they belong to this or any other area of knowledge. Teaching Mathematics does not only have the obvious function of providing the development of competences related to handling with the most varied mathematical abilities, but it must also be concerned with the promotion of the development of abilities such as communication, argumentation, and process validation (PCN, 1998, p. 56). These abilities, on their turn, require abilities of written and/or spoken expression and interpretation. Learning to solve mathematical problems at school means facing a world of concepts that involves reading and comprehension both of one‟s native language and of mathematical language. Solving problems requires reading comprehension. For that comprehension, students need to have some linguistic references and to express data in mathematical sentences they need to have some mathematical references, which should be appropriate according to each problem-situation they are exposed to. Offering learners opportunities to understand the problem utterances should certainly help them not only solve the problems but also to widen and improve their ability to establish inferences and logical connections. Many studies have been carried out about reading and about difficulties in solving problems, although very few have put these two areas of knowledge together. The purpose of this study is to verify how cohesive mechanisms, which are present in the utterances of arithmetic problems, can become intervenient factors in the reading comprehension of those utterances. The author believes it is possible from that point of view to catch a glimpse of ways of making studies of native language get closer to studies of mathematical language in what concerns the comprehension of arithmetical problem utterances. The study starts from the assumption that if the arithmetic utterance is not understood, that compromises the conversion of the data presented in mathematical language and, hence, compromises solving those problems.
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Genis, Amelia. "Numbers count: the importance of numeracy for journalists." Thesis, Stellenbosch : Stellenbosch University, 2001. http://hdl.handle.net/10019.1/52371.
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Thesis (MPhil) -- Stellenbosch University, 2001.Bibliography
ENGLISH ABSTRACT: Few news subjects or events can be comprehensively covered in the media without numbers being used. Indeed, most reports are essentially 'number stories', or could be improved through the judicious use of numbers. Despite this there are frequent complaints about poor levels of numeracy among journalists. Although numbers are fundamental to virtually everything they write, the most superficial review of South African newspapers indicates that most encounters between journalists and numbers of any sort are uncomfortable, to say the least. Reporters shy away from using numbers, and frequently resort to vague comments such as "many", "more", "worse" or "better". When reports do include numbers, they often don't make sense, largely because journalists are unable to do simple calculations and have little understanding of concepts such as the size of the world's population, a hectare, or a square kilometer. They frequently use numbers to lend weight to their facts without having the numerical skills to question whether the figures are correct. Numeracy is not the ability to solve complicated mathematical problems or remember and use a mass of complicated axioms and formulas; it's a practical life skill. For journalists it is the ability to understand the numbers they encounter in everyday life - percentages, exchange rates, very large and small amounts - and the ability to ask intelligent questions about these numbers before presenting them meaningfully in their reports. This thesis is not a compendium of all the mathematical formulas a journalist could ever need. It is a catalogue of the errors that are frequently made, particularly in newspapers, and suggestions to improve number usage. It will hopefully also serve to make journalists aware of the potential of numbers to improve reporting and increase accuracy. This thesis emphasises the importance of basic numeracy for all journalists, primarily by discussing the basic numerical skills without which they cannot do their job properly, but also by noting the concerns of experienced journalists, mathematicians, statisticians and educators about innumeracy in the media. Although the contents of this thesis also apply to magazine, radio and television journalists, it is primarily aimed at their counterparts at South Africa's daily and weekly newspapers. I hope the information contained herein is of use to journalists and journalism students; that it will open their eyes to the possibility of improving number usage and thereby reporting, serve as encouragement to brush up their numerical skills, and help to shed light on the numbers which surround them and which they use so readily.
AFRIKAANSE OPSOMMING: Min nuusonderwerpe of -gebeure kan in beriggewing tot hul reg kom sonder dat enige getalle gebruik word. Trouens, die meeste berigte is in wese 'syferstories', of kan verbeter word deur meer sinvolle gebruik van syfers. Tog is daar vele klagtes oor joemaliste se gebrekkige syfervaardigheid. Ten spyte van die ingeworteldheid van getalle in haas alles wat hulle skryf, toon selfs die mees oppervlakkige ondersoek na syfergebruik in Suid-Afrikaanse koerante joemaliste se ongemaklike omgang met die meeste syfers. Hulle is skugter om syfers te gebruik, en verlaat hulle dikwels op vae kommentaar soos "baie", "meer", "erger" of "beter". Indien hulle syfers gebruik, maak die syfers dikwels nie sin nie: meermale omdat joemaliste nie basiese berekeninge rondom persentasies en statistiek kan doen nie, en min begrip het vir algemene groothede soos die wereldbevolking, 'n hektaar of 'n vierkante kilometer. Hulle sal dikwels enige syfer gebruik omdat hulle meen dit verleen gewig aan hul feite en omdat hulle nie die syfervaardigheid het om dit te bevraagteken nie. Syfervaardigheid is nie die vermoe om suiwer wiskunde te doen of 'n magdom stellings en formules te onthou en gebruik nie; dis 'n praktiese lewensvaardigheid, die vermoe om die syferprobleme wat die daaglikse roetine oplewer - persentasies, wisselkoerse, baie groot en klein getalle- te verstaan en te hanteer. Hierdie tesis is nie 'n versameling van alle berekeninge wat joemaliste ooit sal nodig kry nie; maar veel eerder 'n beskrywing van die potensiaal van syfers om verslaggewing te verbeter en joemaliste te help om ag te slaan op die getalle rondom hulle en die wat hulle in hul berigte gebruik. Die doel van die tesis is om die belangrikheid van 'n basiese syfervaardigheid vir alle joemaliste te beklemtoon, veral die basiese syfervaardighede waarsonder joemaliste nie die verslaggewingtaak behoorlik kan aanpak nie, te bespreek, en ook om ervare joemaliste, wiskundiges, statistici en opvoeders se kommer oor joemaliste se gebrek aan syfervaardigheid op te teken. Hoewel alles wat in die tesis vervat is, ewe veel van toepassing is op tydskrif-, radio- en televisiejoemaliste, val die klem hoofsaaklik op hul ewekniee by Suid-Afrikaanse dag- en weekblaaie. Ek hoop die inligting hierin vervat sal van nut wees vir praktiserende joemaliste en joemalistiekstudente om hulle bewus te maak van die moontlikhede wat bestaan om syfergebruik, en uiteindelik verslaggewing, te verbeter en as aanmoediging dien om hul syfervaardigheid op te skerp.
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Samson, Duncan Alistair. "An analysis of the influence of question design on pupils' approaches to number pattern generalisation tasks." Thesis, Rhodes University, 2008. http://hdl.handle.net/10962/d1003302.
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This study is based on a qualitative investigation framed within an interpretive paradigm, and aims to investigate the extent to which question design affects the solution strategies adopted by children when solving linear number pattern generalisation tasks presented in pictorial and numeric contexts. The research tool comprised a series of 22 pencil and paper exercises based on linear generalisation tasks set in both numeric and 2-dimensional pictorial contexts. The responses to these linear generalisation questions were classified by means of stage descriptors as well as stage modifiers. The method or strategy adopted was carefully analysed and classified into one of seven categories. A meta-analysis focused on the formula derived for the nth term in conjunction with its justification. The process of justification proved to be a critical factor in being able to accurately interpret the origin of the sub-structure evident in many of these responses. From a theoretical perspective, the central role of justification/proof within the context of this study is seen as communication of mathematical understanding, and the process of justification/proof proved to be highly successful in providing a window of understanding into each pupil’s cognitive reasoning. The results of this study strongly support the notion that question design can play a critical role in influencing pupils’ choice of strategy and level of attainment when solving pattern generalisation tasks. Furthermore, this study identified a diverse range of visually motivated strategies and mechanisms of visualisation. An awareness and appreciation for such a diversity of visualisation strategies, as well as an understanding of the importance of appropriate question design, has direct pedagogical application within the context of the mathematics classroom.
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Reed, Bonnie Dee. "Successful strategies for expository writing." CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2787.
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This study focused on creating an Integrated Expository Writing model to improve fifth and sixth grade students' abilities to write well constructed expository essays. It was developed through researching Step Up to Writing, the Six-Traits, interactive writing, play / realia, paired / shared writing, and writers' workshop.
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Sharkey, Garry. "An exercise in how experienced expatriate EFL teachers' practical wisdom can be used to problematise Saudi Arabian ELC syllabi." Thesis, University of Exeter, 2014. http://hdl.handle.net/10871/18290.
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In the past 30 years there has been a steady and growing appreciation in the literature of the importance and value of teachers' practical wisdom (TPW) - or phronesis as it is also known - to further an understanding of classroom practice and of the need to find ways to help teachers generate and share their perspectives with others. Nevertheless, the potential of this kind of knowledge (understood by Aristotle to be both practical and moral in its orientation) to contribute valuable insights to educational debates has still to be realised. Rather, educational decisions about policy and practice in many contexts (whether at a national or institutional level) are still largely driven by theoretical and technical knowledge perspectives and teacher practical wisdom perspectives are still often under-valued and remain under-represented in educational literature. One of the main reasons for this put forward in this thesis is the tendency in much of the literature to see this form of knowledge as classroom bound rather than to realise the ways in which it can inform broader pedagogical discussions. Bearing all of the above in mind, the aim of the study reported in this thesis into the TPW of 14 experienced expatriate English as a foreign language teachers (EEEFLTs) working in English language centres (ELCs) across the Kingdom of Saudi Arabia (KSA) is threefold. Its first aim is to provide a platform for the EEEFLTs to demonstrate the contribution their TPW can potentially make in addressing syllabus related issues in the KSA ELCs they have worked and, in doing so, show how the use of TPW is not confined to the classroom. Its second aim is to increase the visibility of the participants' TPW and thus raise awareness of the importance of research into TPW and to provide a model for how this can be conducted. The study's final aim is to provide a deeper understanding of the nature of TPW. Located in the interpretive paradigm, this study uses a TPW-friendly methodology to investigate TPW: interpretive phronetic educational research (IPER), which approaches and conducts educational research through a moral and practical problem-driven lens. This understanding drives the study's methodology and all stages of its data collection and analysis and the methods used in both. The goal of such methods is an epistemological one to generate TPW whilst empowering it also by highlighting its validity and how it is easily articulated - and thus captured - and not confined to the classroom. To assist with its articulation and capture, the study employs a process defined as Problematisation: a four-stage process consisting of reflection, problematisation, deliberation and articulation which drives and shapes the semi-structured interviews the study employs and the secondary research questions that inform the primary research question. The study concludes that the EEEFLTs use their TPW as a lens (that has 12 qualities) through which to view KSA ELC syllabi and, in doing so, identify many problems with the syllabi and subsequent consequences and suggest solutions to address both. These problems, consequences and solutions have been organised under six prominent categories that represent six main problem areas to emerge from the data that suggest the syllabi are teacher, textbook and test-centred, top-down, teacher-proof and time-driven. These categories represent six problem areas that in turn reflect the problematic, negative and disempowering context from which the data informing such categories and themes have been drawn. In this study, TPW is considered disempowered knowledge as a result of the disempowering context within which it has been acquired and is used. Previous TPW studies have been conducted in more positive settings and have perhaps for this reason not focused on TPW's disempowerment. In contrast, this study takes on a much more political role as it explores TPW's disempowerment in the KSA ELC context as well as in the broader context of academia and the literature. TPW's lack of visibility in TESOL and education has several implications because unless TPW achieves greater visibility, it may fade into extinction and its potential may never be realised. This study has been conducted in an attempt to prevent this happening.
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Helmer, Jessica C. "We’ve Got a BIG Problem: In Search of an Architecture that Inspires Movement." University of Cincinnati / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1336490563.
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Patel, Chirayush C. "Cultural awareness in TESOL student and teacher material." Thesis, Stellenbosch : Stellenbosch University, 2012. http://hdl.handle.net/10019.1/19969.
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Thesis (MPhil)--Stellenbosch University, 2012ENGLISH ABSTRACT: The aim of this thesis is a qualitative examination of TESOL material, specifically New Headway Advanced [NHA] -3rd Edition (Soars & Soars: 2002), and the degree to which Cultural Awareness [CA] is present in the material. CA is herein defined as the use of empathy to explicitly examine the contextual variations which give rise to different languages and cultures with the aim of avoiding stereotypes and promoting a mediated third linguistic and cultural place which incorporates the variations of context inherent in a student’s L1 and WEs. The thesis provides an overview of TESOL methodology together with issues arising from postmethod views of TESOL. Qualifications for ESOL teachers, namely the CELTA and Cert.TESOL, are also examined with specific attention to their inclusion of references to CA. The examination of NHA is carried out with the use of Hofstede & Bond’s (1980) Dimensions of Cultural Variability to provide a dimensional profile of NHA. Finally there is a discussion of the extent to which CA is present in NHA and recommendations for the future development of ESOL and TESOL material.
AFRIKAANSE OPSOMMING: Die doel van hierdie tesis is om ‘n waardebepaling van TESOL materiaal te doen, veral New Headway Advanced (NHA) – 3e weergawe (Soars & Soars:2002), en die mate waarin Kulturele Bewustheid (KB) in die materiaal teenwoordig is. KB word in hierdie konteks gedefinieer as die gebruik van empatie vir die deeglike ondersoek van kontekstuele variasies wat lei tot verskillende tale en kulture ten einde stereotipering te vermy en ‘n bemiddelde derde taalkundige en kulturele plek te bevorder wat die kontekstuele variasies inherent in ‘n student se L1 en WE insluit. Die tesis voorsien ‘n oorsig van die TESOL metodologie saam met kwessies voortspruitend uit sieninge na die aanbieding daarvan. Kwalifikasies van onderwysers, naamlik CELTA en die TESOL sertifikaat, word ook ondersoek met spesifieke verwysing na KB. Die ondersoek van NHA word gedoen met behulp van Hofstede & Bond se (1980) Dimensions of Cultural Variability om ‘n dimensionele profiel van NHA te verskaf. Laastens is daar ‘n bespreking van die mate waarin KB teenwoordig is in NHA en aanbevelings vir die toekomstige ontwikkeling van ESOL en TESOL materiaal.
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Jansen, Anthony Robert 1973. "Encoding and parsing of algebraic expressions by experienced users of mathematics." Monash University, School of Computer Science and Software Engineering, 2002. http://arrow.monash.edu.au/hdl/1959.1/8059.
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Zhen, Yongjian. "Improving students' math problem-solving skills in a computer-assisted learning environment." CSUSB ScholarWorks, 1999. https://scholarworks.lib.csusb.edu/etd-project/1797.
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Bodenstein, Eckhard W. "Lernervoraussetzungen von Deutschstudenten an der Universitat Zululand : eine Untersuchung auf der Grundlage von Bildtexten." Thesis, Stellenbosch : Stellenbosch University, 1998. http://hdl.handle.net/10019.1/50985.
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Thesis (MA) -- Stellenbosch University, 1998.ENGLISH ABSTRACT: During my work as a lecturer in "German as a foreign language" at the University of Zululand I have experienced that African students often understand German texts in a different way than I, coming from a European background, would have expected. According to the research on text reception, differences in understanding texts are the result of different reader characteristics of which the socio-cultural background forms an important component. This thesis examines the socio-cultural background of Zulu students and aims to show how it influences their understanding of German texts. The necessary data is obtained by way of a comparative empirical investigation which is enhanced by personal observations made while teaching German to African learners. The investigation is based on a German advertisement. The control groups consist of South African students at the Universities of Natal/Durban and Stellenbosch as well as students in Germany at the University of Kassel. The investigation is concluded by a discussion of the implications that the socio-cultural background of Zulu students can have on the teaching of "German as a foreign language" and on intercultural communication.
AFRIKAANSE OPSOMMING: Gedurende my werks,aamheidas dosent in die vak "Duits as vreemde taal" aan die Universiteit van Zululand het ek ondervind dat Swart studente dikwels Duitse tekste heeltemal anders verstaan as wat ek, as iemand met Europese agtergrond, sou verwag het. Navorsing oar teks-resepsie skryf resepsieverskille toe aan verskillende lesereienskappe waarvan die sosio-kulturele agtergrond 'n belangrike komponent vorm. Hierdie tesis ondersoek die sosio-kulturele agtergrond van Zoeloe-studente en probeer aantoon hoe dit die resepsie van Duitse tekste be'invloed. Die nodige inligting hiervoor word verkry deur middel van 'n vergelykende empiriese ondersoek. Dit word aangevul deur persoonlike waarnemings wat ek gedurende die onderrig van Duits aan Swart studente gemaak het. Die ondersoek is gebaseer op 'n Duitse advertensie. Die kontrolegroepe bestaan uit studente aan die universiteite in Natal/Durban en Stellenbosch in Suid- Afrika en in Duitsland aan die Universiteit van Kassel. In die slotgedeelte word die implikasies uitgewys wat die sosio-kulturele agtergrond van Zoeloe-studente op die onderrig van "Duits as vreemde taal" as oak op interkulturele kommunikasie kan he.
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Ribeiro, Helena Corrêa. "Cálculo: uso de recursos computacionais para inserir conceitos de limites, derivadas e integrais no ensino médio." Universidade Tecnológica Federal do Paraná, 2018. http://repositorio.utfpr.edu.br/jspui/handle/1/2971.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)O presente trabalho tem como objetivo auxiliar professores de Educação Básica a abordar alguns conceitos básicos de Cálculo Diferencial e Integral no terceiro ano do ensino médio, utilizando os softwares wxMaxima e Geogebra. Nossa proposta visa resgatar o ensino do Cálculo no âmbito escolar, mas de uma maneira diferente da tradicional, utilizando a tecnologia em nosso favor, como uma ferramenta facilitadora no processo ensino-aprendizagem de conceitos de limites, derivadas e integrais. A ideia é que toda a parte algébrica e gráfica, que exige conhecimentos matemáticos específicos, seja feita pelos softwares e que os estudantes aprendam a interpretar as soluções que as ferramentas nos fornecem e a conhecerem um pouco mais sobre a matemática e suas aplicações.
The present work aims to help Basic Education teachers to approach some basic concepts of Differential and Integral Calculus in the third year of high school using the software wxMaxima and Geogebra. Our purpose is to recover the teaching of Calculus in the school context, but in a different way from the traditional one, using the technology in our favor, as a facilitating tool in the teaching-learning process of boundary, derivative and integral concepts. The idea is that all the algebraic and graphic part, which requires specific mathematical knowledge, is done by software and that students learn to interpret the solutions that the tools provide us and to know a little more about mathematics and its applications.
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Adendorff, Stanley Anthony. "Investigating feedback as element of formative assessment in the teaching of senior phase Mathematics." Thesis, Link to the online version, 2007. http://hdl.handle.net/10019/331.
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Corioso, Erica Lian. "Three branches of government webquest." CSUSB ScholarWorks, 2007. https://scholarworks.lib.csusb.edu/etd-project/3294.
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The general purpose of this project was to enhance the retention of social studies curriculum via internet technology. Specifically, this project involved a webquest about the three branches of government.
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Ogle, Zimbini. "The coping orientation and self-esteem of black learners enrolled in under-resourced schools in the Nelson Mandela Metropole." Thesis, Nelson Mandela Metropolitan University, 2012. http://hdl.handle.net/10948/d1012591.
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It is common knowledge that the delivery of a high quality, well-resourced educational service to learners enrolled in state schools in the Eastern Cape has ground to a halt and this lack of service delivery has now become a pervasive problem. South African education has to a large extent failed to meet the needs of Black learners. Schools, like other contexts of childhood and adolescence are intimate places where youths construct identities, build a sense of self, read how society views them, develop the capacity to sustain relations and forge the skills to initiate change. These are the contexts where youth grow or shrink. Buildings in disrepair are not, therefore, merely a distraction; they are identity producing and selfdefining. There has been much debate on the topic of self-esteem and its relationship to school performance and academic achievement. Previous studies have highlighted that selfesteem and resilience do play a role in academic achievement. Despite the many challenges facing learners in under-resourced schools, many learners have overcome such challenges and achieved academic success. This study aimed to explore and describe the coping orientation and self-esteem of Black learners enrolled in under-resourced state schools in the Nelson Mandela Metropole. An exploratory, descriptive survey design was employed and eighty-five research participants completed the Orientation to Life Questionnaire 29 Item (OLQ 29 Item), Battle‟s Culture Free Self-Esteem Inventory Form AD (CFSEI Form AD) and a biographical questionnaire. Key findings revealed fairly high mean scores on the OLQ 29 Item and low total self-esteem scores. The General, Social and Personal self-esteem of the learners were found to be average. The results also revealed that learners with a high sense of coherence are likely to have high self-esteem; hence high sense of coherence is better explained by high self-esteem and low sense of coherence is better explained by low selfesteem.
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樊惠玲. "澳門初一學生的一元一次方程應用題錯誤概念之研究." Thesis, University of Macau, 2006. http://umaclib3.umac.mo/record=b1676287.
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Su, Tzu-Chen. "Socially situated English-as-a-foreign-language instruction to achieve emergent biliteracy in Taiwan." CSUSB ScholarWorks, 2005. https://scholarworks.lib.csusb.edu/etd-project/2822.
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Integrates several learning approaches for teaching English to Taiwanese children at the elementary level (grades K-6). Develops children's biliteracy in the English-as-a-foreign-language (EFL) context through various learning approaches that include, child-centered learning, mediated learning, socially situated learning, and task-based learning.
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Vermaak, Franciscus Jozefus. "'n Ondersoek na wesentlikheid in die ouditkunde, met spesiale verwysing na wesentlike onreëlmatighede." Thesis, 2014. http://hdl.handle.net/10210/12161.
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Kim, Sungyun. "Star-unitary transformation and stochasticity emergence of white, 1/f noise through resonances /." Thesis, 2002. http://wwwlib.umi.com/cr/utexas/fullcit?p3110635.
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Hulme, Karen. "The role of technology in the zone of proximal development and the use of Van Hiele levels as a tool of analysis in a Grade 9 module using Geometer’s Sketchpad." Thesis, 2012. http://hdl.handle.net/10539/11987.
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In 2010 a course called MathsLab was designed and implemented in a Johannesburg secondary school, aimed at Grade 9 learners, with the objective of using technology to explore and develop mathematical concepts. One module of the course used Geometer’s Sketchpad to explore concepts in Euclidean geometry. This research report investigates whether technology can result in progression in the zone of proximal development as described by Vygotsky. Progression was measured through the use of a pre- and post-test designed to allocate Van Hiele Levels of geometric thought to individual learners. Changes in the Van Hiele Levels could then verify movement through the zone of proximal development.
The results of the pre- and post-tests showed a definite change in learners’ Van Hiele Levels, specifically from Van Hiele Level 1 (visualisation) to Van Hiele Level 2 (analysis). This observation is in line with research that places learners of this age predominantly at these levels. Some learners showed progression to Van Hiele Level 3 (ordering) but this was not the norm. The value of using technology in an appropriate and effective manner in mathematics education is clear and is worthy of further research.
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Mdladla, Emmanuel Phathumusa. "Tasks used in mathematics classrooms." Thesis, 2017. http://hdl.handle.net/10539/23569.
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A research report submitted to the Faculty of Science, University of Witwatersrand, in
partial fulfilment for the degree of Masters of Mathematics Education by coursework and
research report. Johannesburg, March 2017.The current mathematics curriculum in South Africa require that learners are provided with opportunities to develop abilities to be methodical, to generalise, to make conjectures and try to justify and prove their conjectures. These objectives call for the use of teaching strategies and tasks that support learners’ participation in the development of mathematical thinking and reasoning. This means that teachers have to be cautious when selecting tasks and deciding on teaching strategies for their classes. Tasks differ in their cognitive and difficulty levels and opportunities they afford for learner to learn mathematics competently. The levels of tasks selected by the teachers; the kinds of questions asked by the teachers during the implementation of the selected tasks and how the questions asked by the teachers and the teachers’ actions at implementations affected the levels of the tasks were the focus of this research report. The study was carried out in one high poverty high school in South Africa. Two teachers were observed teaching and each teacher taught their allocated grades. One teacher was observed teaching Grade 9s while the other taught Grade 11s. Both teacher taught number patterns at the time their lessons were observed. The research was qualitative. Methods of data collection and instruments included lesson observations; collection of tasks used in the observed classes, audio-taping and field notes. Pictures of the teachers’ work and copies of learners’ workbooks also provided some data. The analysis of data shows that the teachers not only selected and used lower-level cognitive demand and ‘easy’ tasks, that did not support mathematical thinking, but also did not lift up the levels and/or maintain the ‘difficulty levels’ of the task at implementation. Teachers were unable to initiate class discussions. Their teaching focused on ‘drill and practice’ learning and teaching practices.
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Dlamini, Mthokoziseni Sonnyboy. "Does an intervention focused on discussing problem solving show potential for improving individual learning outcomes?" Thesis, 2017. https://hdl.handle.net/10539/25001.
Full textAbstract:
A research report submitted to the Faculty of Science, in partial fulfilment of the requirements for the degree of Master of Science, University of the Witwatersrand. Johannesburg, 22 August 2017.Attainment in problem solving in mathematics is one of the cognitive levels that is used to guide the assessments in South Africa. Unfortunately, it is one of the levels in which most students do not perform well. This research investigates whether the approach taken in an intervention focused on discussing problem solving shows potential for improving individual learning outcomes? A pre-test and post-test on problem solving questions was administered to two Grade 8 classes from a private school in a Northern suburb of Johannesburg. The intervention 1 class wrote a pre-test and thereafter the class was taught how to deal with mathematical problems and later the class wrote a post-test. The intervention 2 class only wrote the pre-test and the post-test, with the usual kind of teaching. Not only did the intervention 1 class average improve by 10% from 38% on the pre-test to 48% on the post-test but also the class improved in terms of using models to solve problems. On the other hand, the intervention 2 class improved by 14% from 24% to 38%. However, while the intervention 2 class had an improvement in terms of using models to solve problems, the improvement was not substantial. The results also show that mathematical problem solving involving ratios remain a challenge for the grade 8 students in my school and that more work needs to be done to ensure success in mathematical problems involving ratios. Keywords: Problem-solving; intervention 2 class; intervention 1 class, cognitive levels
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Koloko, Mpolai Anacletta. "Investigating learners’ participation in an astronomy quiz." Thesis, 2012. http://hdl.handle.net/10539/11895.
Full textAbstract:
The purpose of this study is to investigate how learners work collaboratively during their astronomy quiz preparation. Research has been conducted extensively on cooperative and collaborative learning, however not much has been done to investigate learners preparations in quizzes. There has been very little research done on learners‟ interactions and behaviour but more on comparing learners‟ performance individually with when they work collaboratively. The subjects of this study were five schools from the Gauteng West district comprising of teams made up of four learners. These five teams were observed and two members per team interviewed. The teams were observed in order to understand how they interact with each other and the roles assumed by each member and the teacher. The use of interviews was to get more understanding of the benefits of the team and also find out if the quiz contributed in their astronomy content gain.
The results show that all teams had an understanding of their roles and responsibilities as members, however only two teams displayed more commitment to attain the goal by advancing to further rounds of the astronomy quiz. In view of the findings I concluded that collaborative testing is an effective strategy for improving learning and potentially for the retention of content.
Keywords
Collaborative learning
Collaborative testing
Peer collaboration
Astronomy quiz
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Weitz, Maria S. "Number strategies of Grade 2 learners: learning from performance on the learning framework in number test and the Grade 1 annual national assessments." Thesis, 2013. http://hdl.handle.net/10539/12735.
Full textAbstract:
A Research Report submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in partial fulfilment of the requirements of the degree of Master of Science. October 2012, Johannesburg.Several commentators describe the low performance of South African students in mathematics as ‗a crisis‘. In the Foundation Phase specifically, there is evidence of a lack of shift from concrete counting-based strategies to more abstract calculation-based strategies (Ensor et al., 2009; Schollar, 2009). Concrete counting-based strategies refer to actions where the learner cannot find the answer to a mathematical problem without using concrete objects. In contrast, abstract calculation-based strategies involve strategies where the child does not need concrete objects to find the answer, but can instead use mental calculations in which numbers have been transformed into abstract objects upon which operations can then be carried out. Ensor et al argue that the poor mathematical results in South Africa are the result of inefficient moves made by learners from counting to calculating. In their study, many students failed to move their thinking sufficiently forward from concrete counting actions to abstract thinking. The focus of this study is to investigate a sample of Grade 2 learners‘ strategies on tasks drawn from the Learning Framework in Number (LFIN) test and responses on number related questions in the Annual National Assessment tests (ANA). I use the Learning Framework in Number to describe the stage of learners in their shift from concrete to a more abstract way of thinking about number. The theory of reification refers to the turning of processes into objects, and in this research, the origin of an abstract object in reification is explored. I also aim to understand the kinds of information I can get from children‘s grasp of early number strategies, by looking at the responses of learners on the ANA and LFIN tests. My research question is: What do the two tests (ANA and LFIN) tell us about the strategies on early number used by a sample of Grade 2 learners in a township school in Gauteng? The two critical questions that follow from this are: How does learner performance on number problems compare across the two tests? What evidence in relation to concrete/abstract strategies is evident in the responses of learners in the two tests? My findings showed that the learners in the school that I investigated still relied a great deal on concrete counting methods to answer questions. In spite of this, the mean ANA mark were much higher than the LFIN mean. The low number range of the ANA test, (1-34 for most of the number related questions), made it possible for the learners to use concrete counting (fingers or tallies) to answer the questions. The relatively low LFIN mark range indicated that children had difficulties in moving to more abstract ways of working with number. The implications of the reliance on concrete counting is potential difficulties when the learners move into higher grades where the number range is much higher, making the use of concrete methods time consuming and error prone.
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De, Menezes Joao Alexandre. "A case-study exploration of the effects that context familiarity, as a variable, may have on learners' abilities to solve problems in Mathematical Literacy (ML)." Thesis, 2012. http://hdl.handle.net/10539/11395.
Full textAbstract:
M.Sc., Faculty of Science, University of the Witwatersrand, 2011This study serves to explore the notion of context familiarity and how it affects the way learners perform in closed and open-ended problems in Mathematical Literacy (ML). The learners’ performances in this study are based on how well they were able to do the following: select the relevant data from the given tables; select the appropriate mathematics and execute them with precision; relate the mathematical solution back to the context in order to understand the problem better. The key findings indicate that more familiar contexts provide better opportunities for learners to: select the relevant data from given tables; select and execute the relevant mathematical tools; and relate the mathematical solution back to the context.
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Newell, Fiona Anne. "Transformation of organic chemistry for teaching and learning: an analysis of Grade 12 South African textbooks and examination guidelines." Thesis, 2012. http://hdl.handle.net/10539/11901.
Full textAbstract:
In the context of educational transformation in South Africa the organic chemistry
content of science textbooks needs to be mediated by the authors of the books
profoundly and flexibly so as to provide for the diverse abilities and backgrounds of
South African learners. This mediation requires critical interpretation of the
curriculum documents [examination guidelines], representation and selection of the
instructional ideas by using pedagogical content knowledge [PCK] so as to make the
content accessible to the learners and to help them prepare for examinations. The
purpose of this content analysis which used PCK as a theoretical framework was to
establish how the grade12 organic chemistry content has been transformed for
teaching and learning by the textbook authors and what teaching methods have
been used, as not all the textbooks seem to cover the same content. To capture the
PCK of the authors a representation of the content or CoRe was used for each of the
books analysed using the Big Ideas from the text as well as the Bishop and Denley’s
six knowledge bases of PCK. The study showed that although all the books analysed
showed evidence of the authors’ PCK none of them mediated the content sufficiently
to cater adequately for the learners’ needs.
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Jonck, Elizabeth. "The path partition number of a graph." Thesis, 2012. http://hdl.handle.net/10210/7118.
Full textAbstract:
Ph.D.The induced path number p(G) of a graph G is defined as the minimum number of subsets into which the vertex set V(G) of G can be partitioned such that each subset induces a path. In this thesis we determine the induced path number of a complete £-partite graph. We investigate the induced path number of products of complete graphs, of the complement of such products and of products of cycles. For a graph G, the linear vertex arboricity lva(G) is defined as the minimum number of subsets into which the vertex set of C can be partitioned so that each subset induces a linear forest. Since each path is a linear forest, Iva(G) p(G) for each graph C. A graph G is said to be uniquely rn-li near- forest- partition able if lva(C) = in and there is only one partition of V(G) into m subsets so that each subset induces a linear forest. Furthermore, a graph C is defined to be nz- Iva- saturated if Iva(G) < in and lva(C + e) > iii for each e E We construct graphs that are uniquely n2-linear-forest-partitionable and in-lva-saturated. We characterize those graphs that are uniquely m-linear-forest-partitionable and rn-lvasaturated. We also characterize the orders of uniquely in- path- partitionable disconnected, connected and rn-p-saturated graphs. We look at the influence of the addition or deletion of a vertex or an edge on the path partition number. If C is a graph such that p(G) = k and p(G - v) = k - 1 for every v E V(G), then we say that C is k-minus-critical. We prove that if C is a connected graph consisting of cyclic blocks Bi with p(B1 ) = b, for i = 1,2, ... ,n where ii > 2 and k bi - n+ 1, then C is k- minus- critical if and only if each of the blocks B1 is a bj- minus- critical graph.
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"Strategies to overcome obstacles in the facilitation of critical thinking in nursing education." Thesis, 2012. http://hdl.handle.net/10210/5488.
Full textAbstract:
M.Cur.Critical thinking is the ideal of a democratic citizenry of a country. Intellectual liberation is the characteristic of the human mind, but it is learned as the individual takes a conscious step into developing his/her critical thinking skills. The virtues of a critical thinker are open-mindedness, intellectual integrity, intellectual empathy, intellectual courage, accommodation for ambiguity, ability to metacognise and acceptance of one's faults in thinking and a willingness to adapt one's beliefs and values. The nursing profession has a dire need for critically thinking practitioners, who will be able to make calculated judgements that brings about life-saving decisions. Nursing education need to adopt an educational approach that integrates development and facilitation of critical thinking in students. Scholars support the ideal of development and facilitation of critical thinking in the classroom as well as in practice. The purpose of this study is to describe strategies that can be used to overcome obstacles in the facilitation of critical thinking in nursing education. To realize this purpose the researcher undertook a qualitative, exploratory, descriptive and contextual research approach (Mouton 1998). The research design is conducted in 2 phases. The recommendations arising out of the study are based on the findings that there is an urgent need to make a concerted effort to facilitate critical thinking in students and further research on how to integrate critical thinking in the curriculum as well as appropriate evaluation of the skills.
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Bam, Andrias Jacobus. "Faktore wat die leer van rekeningkunde beinvloed." Thesis, 2012. http://hdl.handle.net/10210/5731.
Full textAbstract:
M.Ed.In die orienterende inleiding van hierdie hoofstuk is aangetoon dat rekeningkundige vaardighede en tegnieke vir die modern besigheidsomgewing baie belangrik is. Hierdie vaardighede en tegnieke is egter nie slegs vir besighede belangrik nie, maar ook vir elke individu in die samelewing. Daar is verder aangetoon dat daar 'n aansienlike tekort aan opgeleide rekeningkundiges uit die etniese (swart) bevolkingsgroepe is. Die noodsaaklikheid van die regstelling van die demografiese wanbalans in die rekeningkundige beroepe, is ook genoem. Die navorser het beklemtoon dat daar faktore bestaan, wat die leer van rekeningkunde reeds op sekondere skoolvlak beinvloed. Hierdie faktore dra moontlik daartoe by dat daar 'n groot tekort aan veral swart rekeningkundiges in die Republiek van Suid-Afrika is. In hoofstuk 2 het die navorser die relevansie wat sekere faktore vir die leer van rekeningkunde het, beskryf. Die faktore wat deur Gagne geidentifiseer is, is as uitgangspunt gebruik. Die navorser het self sekere faktore, as subfaktore van Gagne se faktore, geldentifiseer, aangesien daar in die literatuur voorheen geen spesifieke afbakening geskied het nie. In hoofstuk 3 is die data-insamelingmetode, sowel as die werklike insameling van data, bespreek. Die ingesamelde data is getranskribeer, op rekenaar ingelees, drukstukke is voorberei en deur middel van 'n datamatriks geanaliseer. Die faktore wat deur die respondente as belangrik vir die leer van rekeningkunde beskou is, is as navorsingsresultaat beskryf. Uit die analisering van die navorsingsdata, paragrawe 3.9.1 tot 3.9.6 hierbo, blyk dit asof daar enkele baie belangrike faktore, wat die leer van rekeningkunde beinvloed, in die praktyk voorkom. Hierdie faktore kan veral in die volgende kategorie of groepe ingedeel word: algemene 98 rekeningkundige voorkennis, onderrigtaal, persoonlike eienskappe van die leerder; die skool, die klaskamer en die onderwyser. In hoofstuk 4 word die inligting uit die twee navorsingsbronne, naamlik die literatuurondersoek en die onderhoude, met mekaar vergelyk om sodoende die werklike faktore wat die leer van rekeningkunde beInvloed, to identifiseer.
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"CEV asymptotics of American options." 2013. http://library.cuhk.edu.hk/record=b5549268.
Full textAbstract:
常方差彈性(CEV) 模型能夠刻畫波動率微笑的優點使之成為期權定價中的實用工具，然而它在應用到美式衍生工具時面臨分析上及計算上的挑戰。現行的解析方法是對代表著期權價格函數和其最佳履約曲線的自由邊界問題進行拉普拉斯卡森變換(LCT) ，繼而獲得在此變換下的解析解，可是此解含有合流超線幾何函數，使得它的數值計算在某些參數下顯得不穩定及低效。本文運用漸近法徹底解決美式期權在常方差彈性模型下的定價問題，並用永久性和限時性的美式看跌期權作為例子闡述所提出的方法。The constant elasticity of variance (CEV) model is a practical approach to option pricing by fitting to the implied volatility skew. Its application to American-style derivatives, however, poses analytical and numerical challenges. By taking the Laplace Carson transform (LCT) to the free-boundary value problem characterizing the option value function and the early exercise boundary, the analytical result involves confluent hyper-geometric functions. Thus, the numerical computation could be unstable and inefficient for certain set of parameter values. We solve this problem by an asymptotic approach to the American option pricing problem under the CEV model. We demonstrate the use of the proposed approach using perpetual and finite-time American puts.
Detailed summary in vernacular field only.
Pun, Chi Seng.
Thesis (M.Phil.)--Chinese University of Hong Kong, 2013.
Includes bibliographical references (leaves 39-40).
Abstracts also in Chinese.
Chapter 1 --- Introduction --- p.1
Chapter 2 --- Problem Formulation --- p.4
Chapter 2.1 --- The CEV model --- p.4
Chapter 2.2 --- The free-boundary value problem --- p.5
Chapter 2.2.1 --- Perpetual American put --- p.5
Chapter 2.2.2 --- Finite-time American put --- p.6
Chapter 3 --- Asymptotic expansion of American put --- p.8
Chapter 3.1 --- Perpetual American put --- p.8
Chapter 3.2 --- Finite-time American put --- p.16
Chapter 4 --- Numerical examples --- p.24
Chapter 4.1 --- Perpetual American put --- p.24
Chapter 4.2 --- Finite-time American put --- p.26
Chapter 5 --- Conclusion --- p.29
Chapter A --- Proof of Lemma 3.1 --- p.30
Chapter B --- Property of ak --- p.32
Chapter C --- Explicit formulas for u₂(S) --- p.34
Chapter D --- Closed-form solutions --- p.37
Bibliography --- p.40
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Sitsula, Tshisikhawe. "Challenges of Grade 6 learners' experience when solving mathematical word problems." Diss., 2012. http://hdl.handle.net/11602/56.
Full text
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Roos, Jannette Elsie. "Junior-primêre onderwysers se konsepsie van probleemgesentreerde wiskunde-onderwys." Thesis, 2012. http://hdl.handle.net/10210/7356.
Full textAbstract:
M.Ed.This study investigates junior primary teachers' conception of problem-centred Mathematics teaching with the view to describe and also explain their conception. The rationale for the investigation is derived from the move being made in South African Mathematics teaching from traditional teaching to constructivist and problem-centred teaching. Teachers have had to change from being authoritative and focused on the product to become facilitators of the learning process. This move implies that teachers have to put aside most of what they have been doing up till now to be able to adopt constructivist ways of thinking. Problem-centred teaching is in strong contrast to these traditional teaching methods. Such a shift in paradigm could prove to be traumatic for teachers and pupild. The report of the study commences with a theory framework in which constructivism is clearly explicated. The constructivist view of knowledge, with the relationship between public knowledge and personal knowledge and the forming of personal knowledge is discussed. The focus then shifts to learning through cognitive restructuring which is facilitated by assimilation and accommodation. In the constructivist view, learning is also facilitated by social interaction and reflection. Both the processes and the relationship between social interaction and reflection are discussed. Most importantly, learning is facilitated through constructivist teaching, but successful teaching depends on teachers'conception thereof. Conception is described as one of the most important components of teachers' personal teaching theory. Teachers use their personal teaching theory to reflect on teaching and learning. The literature review is concluded with a discussion on the nature of constructivist teaching and the role of the teacher in such a teaching model. The theory framework is complemented by a chapter on the design of the research, substantiating the choice of format and methods of data collection and analyses. The data is reported in the final chapter in which examples of raw data from transcriptions and sketches are presented. Finally, the consolidated data is interpreted. - The most significant finding of this study is that junior primary teachers in this group have a negative conception of problem-centred Mathematics teaching. It appears that the most important reason for their negative conception is that they were not adequately equipped for the contructivist approach towards Mathematics teaching. This study then proposes that for teachers to be able to teach from a constructivist paradigm they need relevant constructivist training, more support from the experts, but also more support from each other. They need to change their teaching conception to a constructivist conception of teaching.
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Lupahla, Nhlanhla. "Assessing the algebraic problem solving skills of Grade 12 learners in Oshana Region, Namibia." Diss., 2014. http://hdl.handle.net/10500/19225.
Full textAbstract:
This study used Polya’s problem-solving model to map the level of development of the algebraic problem solving skills of Grade 12 learners from the Oshana Region in Northern Namibia. Deficiencies in problem solving skills among students in Namibian tertiary institutions have highlighted a possible knowledge gap between the Grade 12 and tertiary mathematics curricula (Fatokun, Hugo & Ajibola, 2009; Miranda, 2010). It is against this background that this study investigated the problem solving skills of Grade 12 learners in an attempt to understand the difficulties encountered by the Grade 12 learners in the problem solving process. Although there has been a great deal of effort made to improve student problem solving throughout the educational system, there is no standard way of evaluating written problem solving that is valid, reliable and easy to use (Docktor & Heller, 2009).
The study designed and employed a computer aided algebraic problem solving assessment (CAAPSA) tool to map the algebraic problem solving skills of a sample of 210 Grade 12 learners during the 2010 academic year. The assessment framework of the learners’ problem solving skills was based on the Trends in International Mathematics and Science Study (TIMSS), Schoenfeld’s (1992) theory of metacognition and Polya’s (1957) problem solving model. The study followed a mixed methods triangulation design, in which both quantitative and qualitative data were collected and analysed simultaneously. The data collection instruments involved a knowledge base diagnostic test, an algebraic problem solving achievement test, an item analysis matrix for evaluating alignment of examination content to curriculum assessment objectives, a purposively selected sample of learners’ solution snippets, learner questionnaire and task-based learner interviews.
The study found that 83.8% of the learners were at or below TIMSS level 2 (low) of algebraic problem solving skills. There was a moderate correlation between the achievement in the knowledge base and algebraic problem solving test (Pearson r = 0.5). There was however a high correlation between the learners’ achievement in the algebraic problem solving test and achievement in the final Namibia Senior Secondary Certificate (NSSC) examination of 2010 (Pearson r = 0.7). Most learners encountered difficulties in Polya’s first step, which focuses on the reading and understanding of the problem. The algebraic strategy was the most successfully employed solution strategy.Mathematics Education
M. Sc. (Mathematics, Science and Technology Education (Mathematics Education))
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Govender, Doraval. "The nature and extent of problems experienced by detectives in the collection, processing and utilisation of crime information at the Rustenburg detective service." Diss., 2008. http://hdl.handle.net/10500/2115.
Full textAbstract:
This research is concerned with the nature and extent of problems experienced by detectives in the collection, processing and utilisation of crime information for the investigation of crime. The problems gave rise to poor detective performance.
The development of information-led policing offers an alternative to the traditional ”reactive” model of investigation of crime. Information-led policing advocates the targeting, gathering, analysis and dissemination of information which is used to inform decisions about the prioritisation of problems and allocation of resources to address the problems (Cope, as quoted by Alison, 2005:93).
The purpose of this study is to determine the strengths and weaknesses in the collection, processing and utilisation of crime information at the Rustenburg Detective Service, to find new knowledge that can improve the situation, and to apply the found knowledge to enhance the performance of detectives.Criminology
M.Tech. (Forensic Investigation)
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"ADJUSTMENT TO EXERCISE LAPSES: RELATIONSHIPS BETWEEN PROBLEM-SOLVING AND SOCIAL COGNITIONS ABOUT ADHERENCE." Thesis, 2013. http://hdl.handle.net/10388/ETD-2013-01-956.
Full textAbstract:
Regular exercise is challenging and lapses in activity may lead to non-adherence. Adherence may be particularly challenging for symptomatic individuals with disease-related symptoms that may impede exercise. The combined use of cognitive-behavioural strategies including problem-solving has been strongly encouraged for promoting exercise adherence. However, evidence supporting the link between the use of the independent strategy of problem-solving and exercise adherence is limited. The overall purpose of this dissertation was to examine problem-solving relative to exercise-lapse related problems. Using two theoretical frameworks that offer insight into problem-solving (Model of Social Problem-Solving and Social Cognitive Theory), three studies were conducted to examine proposed relationships in various asymptomatic and symptomatic exercising samples. In Study 1A, relationships between self-regulatory efficacy (SRE) for exercise and problem-solving approach (task-diagnostic and self-diagnostic) were explored in a sample of exercising university students (n = 79). Results indicated that SRE beliefs were significantly and (1) positively related to task-diagnostic problem-solving approach and (2) negatively related to self-diagnostic problem-solving approach. In Study 1B, relationships between problem-solving effectiveness and exercise-related social cognitions were examined in the same sample. Findings demonstrated that problem-solving effectiveness was positively associated with social cognitive correlates of exercise adherence linked to adaptation. Relationships demonstrated in Study 1 provide preliminary support for previously unexamined problem-solving research questions relative to exercise. In Study 2, relationships between problem-solving effectiveness and exercise-related social cognitions (self-efficacy and persistence) were examined in a sample of exercising cardiac rehabilitation initiates (n = 52). These relationships were considered relative to two distinct components of the problem-solving process (seeking solutions to problems and carrying out solutions), which have not previously been examined relative to exercise lapses. Findings indicated significant relationships between problem-solving effectiveness and (a) self-efficacy for problem-solving (seeking solutions to problems), (b) persistence with problem-solving, (c) self-efficacy for solution implementation (carrying out solutions) and (d) persistence with solution implementation. In Study 3, problem-solving was examined among exercising cancer survivors (n = 35) with cancer-related fatigue, a problematic exercise barrier. Partial support was demonstrated for differences between more and less effective problem-solvers on fatigue-related variables. An under-examined area in problem-solving research was also examined in this study; the relationship between problem-solving and positive psychological functioning. Findings indicated significant differences for positive psychological functioning between individuals with higher and lower positive problem orientation. Taken together, the three studies represent an initial attempt to advance exercise and problem-solving literature by illustrating important theoretical relationships in three samples of exercisers, and addressing important gaps in the exercise and problem-solving literature. In regard to the latter point, the research was the first to examine (a) variables that may link problem-solving to exercise adherence, (b) two distinct components of the problem-solving process relative to an exercise lapse situation, and (c) potential links between problem-solving and selected positive psychological outcomes. Future research directions relative to problem-solving and exercise are suggested as possible next steps to advance this preliminary research.
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Negash, Asnake Worku. "Application of statistical multivariate techniques to wood quality data." Thesis, 2010. http://hdl.handle.net/10413/5015.
Full textAbstract:
Sappi is one of the leading producer and supplier of Eucalyptus pulp to the world market. It is also a great contributor to South Africa economy in terms of employment opportunity to the rural people through its large plantation and export earnings. Pulp mills production of quality wood pulp is mainly affected by the supply of non uniform raw material namely Eucalyptus tree supply from various plantations. Improvement in quality
of the pulp depends directly on the improvement on the quality of the raw materials. Knowing factors which affect the pulp quality is important for tree breeders.
Thus, the main objective of this research is first to determine which of the anatomical, chemical and pulp properties of wood are significant factors that affect pulp properties namely viscosity, brightness and yield. Secondly the study will also investigate the effect of the difference in plantation location and site quality, trees age and species type difference on viscosity, brightness and yield of wood pulp.
In order to meet the above mentioned objectives, data for this research was obtained from Sappi’s P186 trial and other two published reports from the Council for Scientific and Industrial Research (CSIR). Principal component analysis, cluster analysis, multiple regression analysis and multivariate linear regression analysis were used. These statistical
analysis methods were used to carry out mean comparison of pulp quality measurements based on viscosity, brightness and yield of trees of different age, location, site quality and hybrid type and the results indicate that these four factors (age, location, site quality and hybrid type) and some anatomical and chemical measurements (fibre lumen diameter, kappa number, total hemicelluloses and total lignin) have significant effect on pulp
quality measurements.Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2010.