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Currículos de matemática do ensino médio: a polarização entre aplicações práticas e especulações teóricasAlmeida, Arlete Aparecida Oliveira de 02 June 2011 (has links)
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Previous issue date: 2011-06-02 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This assignment broaches curriculum of Mathematic in high school, intending to
analyze the occurrence of Mathematic when it emphasizes the practical
application, focused on its theory production. Considering that in the recently
discussions about this subject, there is a tendency in the official orientation,
educational material and possibly in the class practice, to give priority to a
mathematic with emphasis on practical application. This assignment s goal is to
collect arguments that support the proposals that defend Mathematic in its purest
and speculative way or in its application as an essential criterion to be taught.
With this concerning, we have analyzed documents of the official, national and
state curriculum, course books, and produced material considering the project
Construction of the Learning and the curriculum innovation implement in
Mathematic in the High School level , in what our research takes part. We have
chosen two representative texts of this polarization: the Lawrence Shirley s, that
emphasizes the utilitarian characteristic of the contemporary Mathematic,
contributing to a more broad view of its application and the Godfrey Harold
Hardy s, requiring a different view, where he says that the pure Mathematic is, in
general, much more useful than the practical one, emphasizing that the most
useful is the technique of the Mathematic. We have added Ole Skovsmose to the
debate, for his contributions in the Mathematic critical area, essential part to
complement the reflections around the Mathematic to be taught to the students.
Faced with the results analysis, we have concluded that the Mathematic
curriculum to the high school level needs to have a clear direction, because each
choice will be reflected in the future, socially and on the individual that will be
formed. The clarity of the high school courses will certainly provide the production
possibilities of the curriculum to the high school level / Este trabalho aborda currículos de Matemática no Ensino Médio buscando
analisar a predominância da Matemática voltada para aplicações práticas ou da
Matemática focalizada nas suas produções teóricas, tendo em vista que nas
discussões mais recentes sobre o tema parece haver uma tendência nas
orientações oficiais, nos materiais didáticos e possivelmente nas práticas de sala
de aula de priorizar a matemática com ênfase nas aplicações prática. O objetivo
deste trabalho é o de buscar argumentos que sustentam as propostas que
defendem a Matemática na sua forma mais pura e especulativa ou nas suas
aplicações como critério essencial para que seja ensinada. Com tais
preocupações, analisamos documentos curriculares oficiais, nacionais e
estaduais, livros didáticos e materiais elaborados no âmbito do projeto
Construção de trajetórias hipotéticas de Aprendizagem e implementação de
inovações curriculares em Matemática no Ensino Médio , em que nossa pesquisa
se insere. Escolhemos dois textos bem representativos dessa polarização, sendo
o de Lawrence Shirley que coloca ênfase no caráter utilitário da Matemática
contemporânea, contribuindo para se ter uma visão mais ampla de suas
aplicações e o de Godfrey Harold Hardy, postulando uma visão diferente, na qual
ele defende que a matemática pura é no geral, muito mais útil do que a aplicada,
ressaltando que o mais útil é a técnica da matemática. Agregamos ao debate, Ole
Skovsmose, por suas contribuições no terreno da Matemática crítica, ingrediente
fundamental para complementar as reflexões em torno da matemática a ser
ensinada aos estudantes. Mediante a análise dos resultados, concluímos que os
currículos de Matemática para o Ensino Médio precisam ter um direcionamento
claro, pois cada escolha terá reflexo no futuro, socialmente e no indivíduo a ser
formado. A clareza dos rumos do ensino Médio é que irá proporcionar as
possibilidades de elaboração dos currículos para o Ensino Médio
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Función exponencial en el aula: praxeologías matematicas en enseñanza mediaPérez, Luis Eduardo Reyes 26 November 2015 (has links)
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Previous issue date: 2015-11-26 / Este trabajo es el resultado de una investigación sobre las praxeologias matemáticas realizadas por alumnos de enseñanza media, sobre el concepto matemático de función exponencial, en la Institución Educativa Técnica de Tunia en el Departamento del Cauca, Colombia. En este documento las reflexiones fueron enfocadas hacia adolescentes colombianos de enseñanza media en Colombia y la propuesta fue investigar qué tipos de praxeologías puntuales surgen en el momento de realizar actividades acerca de función exponencial. Buscando responder esta pregunta, orientamos esta disertación mediante la metodología de Ingeniería Didáctica, con la intención de direccionar el trabajo del investigador. En ese sentido se cuenta también con los procedimientos metodológicos los cuales permitieron verificar si a partir de la intención de conocer e identificar las potencialidades de las praxeologías puntuales estas sean idóneas a fin de trasformarlas en praxeologías contextualizadas para una cierta institución de enseñanza I desarrollada por el profesor titular y en consecuencia ésta sea apropiada e interiorizada convirtiéndose en una herramienta potencialmente valida para el profesor. Por tanto, surgen preguntas en el contexto educativo, sobre la forma y construcción de lo que se enseña, en particular el concepto de función exponencial. La construcción de las praxeologías puntuales, así como su formulación, serán enfocadas a través de la teoría antropológica de lo didáctico que además de identificar, ayudará a orientar la construcción de secuencias didácticas relacionadas con la función exponencial que formarán parte del producto educacional de esta disertación y en especial a la contribución de nuevas investigaciones. / This work is the result of the research about the mathematic praxeologies made by students the middle education about the mathematic concept of exponential function, in the Technical Educational Institution from Tunia located in the department of Cauca. On this document the considerations were directed to colombians youngers on the middle education in Colombia and the proposal is to research which types of punctual praxeologies arise in the moment of effect questions about of exponential fuction. In order to answer this question, we focused this dissertation through the methodology of didactic engineering, with the intention of focussed of work de researcher. also included the methodological procedures, which allowed to assess whether, based on the intention to know and identify the potential of specific praxeologies in order to turn them into praxeologies contextualized in an educational institution I and developed by the main professor and as a consequence, that praxeology turn into an educational concept, about the form and construction itself of what we teach, in particular,the concept of exponential fuction. The construction of the puctual praxeologies as their formulation, will be focused by through the anthropological theory of didactic. That in addition to identifying, will help to guide the construction of teaching sequences relating with the exponential fuction that will take part on the educational product of this dissertation and in special the contribution of new researches.
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Ações educativas para promover o agir comunicativo na interface matemática e trânsito: pesquisa sobre a própria práticaFranco, Eliana Toledo Sirimarco 25 February 2013 (has links)
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Previous issue date: 2013-02-25 / PROQUALI (UFJF) / Neste relatório de pesquisa, problematizamos o campo investigativo e incidimos na questão “O que ocorre quando, numa sala de aula, trabalhando o tema Matemática e Trânsito, alunos e professora estão envolvidos em ações educativas pautadas na Teoria do Agir Comunicativo?”, propulsora de todo o trabalho realizado. Optamos pelo gênero “Pesquisa sobre a própria prática”, pois, como o próprio nome diz, corresponde ao nosso propósito de pesquisar nossa prática docente. Utilizamos a abordagem qualitativa de pesquisa, nas distintas modalidades descritivas e etnometodológicas, que, nesta proposta específica, se tornaram complementares. Desempenhamos as atribuições singulares de pesquisadora e de professora. Para o desempenho das funções pedagógicas, estudamos a Teoria do Agir Comunicativo de Jüngen Habermas e dela extraímos os conceitos agir comunicativo, discurso, entendimento, agir estratégico, linguagem, atos de fala, pretensões de validade, mundo objetivo, mundo social, mundo subjetivo, mundo da vida e mundo sistêmico, como base para o desenvolvimento da unidade didática Matemática e Trânsito. Planejamos aulas tematizadas nesta interface, prevendo ações educativas, com a intenção de suscitar nos alunos o agir comunicativo no contexto social da sala de aula de uma escola pública, pertencente a uma universidade federal. As atividades foram aplicadas em aulas para 28 alunos do 4º ano do Ensino Fundamental, na faixa etária de 9 a 11 anos, pela própria professora. Para o desempenho das funções de pesquisa, o trabalho investigativo constituiu em analisar esta intervenção para perceber algumas configurações possíveis, aspectos do que pode ocorrer em uma sala de aula de Matemática, discutindo o Trânsito, como um tema específico, a partir de atividades elaboradas segundo a Teoria específica do Agir Comunicativo. Os dados foram coletados nas gravações das aulas em áudio e vídeo, na observação participante, nas anotações em bloco de notas, nas atividades não diretivas que guardam certa semelhança com as entrevistas não estruturadas, nas produções escritas e nas manifestações orais dos alunos. As transcrições dos 13 encontros, cada um formando uma unidade completa da aula, da introdução à avaliação de cada uma, que perfizeram 35 tempos de 45 min da grade horária escolar, foram analisadas, investigando o que emergia dos dados e nós fomos atribuindo-lhes significado, o que também foi feito com as descrições da primeira, segunda, terceira e décima segunda aulas. As interpretações foram feitas a partir da análise dos dados, que mostraram uma disposição dos alunos para participar das atividades e uma gradual evolução no agir comunicativo durante as aulas da unidade didática. Esta evolução foi percebida na interação entre os alunos e na existência da conexão entre os seus atos de fala, os quais mostravam uma complementaridade de seus raciocínios na concordância ou refutação dos argumentos apresentados. As ações educativas, operadas nas aulas da unidade didática Matemática e Trânsito, foram o motor de propulsão para o agir comunicativo, sendo o trabalho na interface Matemática e Trânsito a possibilidade do despertar da consciência ética e social dos alunos. / This work aims at discussing the investigation field and the key-question “What happens when teacher and students are working with actions on the theme Mathematic and Traffic guided by the Theory of the Communicative Action?”, the basis of all of this research. This work was implemented by adopting the research genre which involves the research through the effective practice, as it is its goal to investigate the author’s own teaching praxis. The qualitative approach was used both in its descriptive and its ethnicmethodological models which turned to be complementary in this specific research. For the pedagogical functions, the work focused in Habermas’s “Theory of Communicative Action” from which it selected the concepts of communicative action, speech, comprehension, strategic action, language, speech acts, validity pretensions, objective world, social world, subjective world, life world and systemic world to be the basis for structuring and building the didactic unit named Mathematic and Traffic. Thematic classes were used in this interface, foreseeing educative actions to stimulate in the students the communicative action in the social context of a classroom of a public school. The activities were implemented for classes with 28 students from the 3rd grade of Elementary School. The students were from 9 to 11 years old. For the research functions, the investigative work consisted of the analysis of the interventions to observe the possible configurations of the teaching structure. The data was collected in the classes video recording as well as in the observation process, the taking notes and in the nondirective actions, and in the students’ written production and oral manifestations. The transcriptions of the 13 classes, from the introduction to the evaluation, took 35 sets of 45 minutes of the school schedule. These sets were all analyzed as much as the descriptions of the 1st,2nd,3rd ad the 12th classes for the same purpose. The interpretations were guided by the data analysis and they showed the students’ stimulus to take part in the activities and their gradual evolution in the communicative action during the classes. This evolution was noted in the students’ interaction and in the connection between their speech acts, which pointed at the cognitive complementarities in agreeing or disagreeing with the presented arguments. The educative actions implemented in the didactic unit Mathematic and Traffic was the trigger for the communicative action and the interface work was the trigger to provoke the students’ ethical and social consciousness.
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Mörk eller ljus framtid : En undersökning om matematiksvårigheter i skolan med fokus på elever med utländskbakgrund.Caballero Rivero, Juan Carlos January 2006 (has links)
<p>Integration av elever inför nationalprov i matematik i niondeklass är centrala teman för mitt examensarbete. Fokus lägger jag på eleverna som betraktas som svaga i ämnet och därmed undervisas med hjälp av en speciell lärobok eller i små grupper, förutom att de går i en vanlig klass. Eftersom elever med utländsk bakgrund brukar överrepresentera gruppen som betraktas som svagast i ämnet, tar jag dessutom upp problematiken över skolans svårigheter/möjligheter att skapa en undervisningsform och undervisningsmiljö i sin uppgift att åstadkomma en skola för alla.</p><p>Syftet med undersökningen är att skaffa mig en verklig vision om vilken syn/filosofi som skolan/lärare har i arbetet att integrera alla elever i undervisningen och ge en skola för alla dvs. en likvärdig utbildning för alla. Till största delen har jag använt mig av den social konstruktivistiska tänkande teoretiska perspektiv, för att genom att undersöka talet hos skolpersonal om meningar ”Språksvårigheter”, ”Språksvårigheter i matematik” och ”Matematiksvårigheter” komma fram till svaren. De slutsatser jag har kunnat dra av undersökningen är, att skolor har en dålig uppfattning om skolsvårigheterna när de bara relaterar svårigheter (i det här fallet ”Språksvårigheter”, ”Språksvårigheter i matematik” och ”Matematiksvårigheter”) till den absoluta synen av skolsvårigheter (dvs. eleverna egenskaper). Detta dålig uppfattning/ofullständiga synsätt på skolsvårigheter gör att elever i svårigheter med matematik (speciellt eleverna med utländsk bakgrund) inte integreras i undervisningen.</p><p>Eleverna som särplaceras i mindre grupper pga. handikapp- problem eller socialproblem, ingår ej i min studie.</p> / <p>Integration of students before national tests in mathematics in class 9 is the central issue for my work. I focus on the students who are considered to be weak in the subject and therefore are being given education with help of a special book or in small groups beside their normal attendance in a normal class. As students with foreign background usually dominate this group of students, I also bring up the problems for the school to create an education form and education environment in its task to obtain a school for all.</p><p>The aim with the investigation is to obtain a real vision of what view/philosophy that school and teachers have in the work to integrate all students in the education and give them an equal education. Most of the part I have utilized the social constructive theory in order to investigate the opinions of school personnel regarding general “Language difficulties”, “Language difficulties in mathematics” and “Mathematics difficulties”. My conclusions are that the school has a bad comprehension about the school difficulties as they only relate difficulties (in this case “Language difficulties”, “Language difficulties in mathematics” and “Mathematics difficulties”) to the absolute view of school difficulties (i.e. the characteristics of students). This bad comprehension/uncompleted vision of school difficulties result in that the students with difficulties in mathematics (especially the students with foreign background) are not being integrated into the education.</p><p>Students who are moved into small groups due to disablement problems or due to social problems are not being part of my study.</p>
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The development of a semantic model for the interpretation of mathematics including the use of technologyPeters, Michael January 2010 (has links)
The semantic model developed in this research was in response to the difficulty a group of mathematics learners had with conventional mathematical language and their interpretation of mathematical constructs. In order to develop the model ideas from linguistics, psycholinguistics, cognitive psychology, formal languages and natural language processing were investigated. This investigation led to the identification of four main processes: the parsing process, syntactic processing, semantic processing and conceptual processing. The model showed the complex interdependency between these four processes and provided a theoretical framework in which the behaviour of the mathematics learner could be analysed. The model was then extended to include the use of technological artefacts into the learning process. To facilitate this aspect of the research, the theory of instrumentation was incorporated into the semantic model. The conclusion of this research was that although the cognitive processes were interdependent, they could develop at different rates until mastery of a topic was achieved. It also found that the introduction of a technological artefact into the learning environment introduced another layer of complexity, both in terms of the learning process and the underlying relationship between the four cognitive processes.
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Critique aristotélicienne des substances platonicienne dans les livres M-N de la Métaphysique : stratégies et enjeux à travers deux exemplesLeclair-Dufour, Nicolas January 2008 (has links)
Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.
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Determining Backbone Conformations of CRE Sequence B-DNA: A Nuclear Magnetic Resonance and Mathematical Modeling StudyJohnson, Amy 01 January 2017 (has links)
Nuclear Magnetic Resonance (NMR) Spectroscopy is a crucial tool for determining the structures of biological molecules. This technique can also be used to extract thermodynamic parameters of these molecules, enhancing our understanding of their biological roles. DNA is analyzed through NMR Spectroscopy in order to identify the effect of sequence on expressivity. DNA predominantly resides in BI orientation, but a second conformation, BII, also exists. DNA can switch between BI and BII backbone conformations and the likelihood of this switching is dependent upon the energetic barrier between these two sub-states. The secondary structure of DNA, and thus its adoption of BI and BII conformation, is sequence-dependent. Therefore, the identity and neighboring base pairs of a segment of DNA have a large effect on the flexibility of the backbone. Methylation also affects backbone structure. The methyl group has been shown to promote either stabilization and/or destabilization on proximate bases. This thesis uses variable temperature NMR and Mathematica modeling to determine the backbone conformations, rate of inter-conversion between BI/BII conformations, and the energetic barrier of this fluctuation for each nucleotide step in DNA dodecamers containing the CRE binding sequence. This has been a long-term goal of the Hatcher-Skeers lab, and the data from this thesis would have been added to years of flanked CRE DNA information to reveal any patterns. In this experiment, 5’-TTTC-3’ CRE DNA dodecamers underwent NMR analyses to extract backbone flexibility parameters. Additionally, the effect of methylation was studied in scans with methylated cytosine in the central CRE sequence. The TRX scale was used to predict the BII character of these sequences. Due to technical errors, the experimental results were not able to accurately represent the specific dynamics of each backbone step. However, general trends were identified, such as adherence to and veracity of the TRX scale and the effect of methylation. It was found that the %BII of the native DNA closely resembled the TRX predictions, whilst the methylated sequence did not. The largest changes in activation energy due to methylation occurred in the central CRE sequence, suggesting methylation is a localized effect. The results reflected several trends from past CRE experiments, but the data cannot be explicitly analyzed due to the technical errors.
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Tänker vi lika om vad som sker i ett matematikklassrum och om sociomatematiska normer? : En fallstudie i en klass i årskurs 5, ur ett lärar- och elevperspektiv. / Do we think equal about what happens in the mathematical classroom and about sociomathematical norms? : A case study in one class in 5th grade, out of a teacher- and student perspective.Bjenning, Caroline January 2017 (has links)
I varje klassrum och elevgrupp förekommer normer och förväntningar (Skott, Jess, Hansen & Lundin, 2010). Normer skapas i interaktion mellan lärare och elever, vilket leder till att normer byggs upp i klassrummet (Cobb & Yackel, 1996). Om det saknas förståelse och samsyn om normer finns det risk för att elevernas matematiklärande hämmas. Studiens syfte är att beskriva vilka sociomatematiska normer som visar sig i ett klassrum, i årskurs 5. Den teoretiska utgångspunkten för studien är socialkonstruktivism. 40 elever från en skola i Sverige observerades och åtta av dem samt en lärare intervjuades för att synliggöra vilka sociomatematiska normer som förekom under de observerande lektionerna. Därefter fick läraren och åtta elever beskriva normerna. Resultatet visade att det inte råder en samsyn mellan läraren och eleverna kring de tre normerna: 1) diskussion som arbetssätt för att förstå det matematiska innehållet 2) ett godtagbart matematiskt svar och slutligen 3) det matematiska språket och dess betydelse i undervisningen. Det fanns en viss samsyn kring de sociomatematiska normerna dock beskrevs skillnader, vilket påverkar lärarens och elevernas syn på vad matematikundervisningen innebär. Slutsatsen av studien är att det i vissa fall finns ett glapp mellan lärarens och elevernas förståelse kring normer. Normen kan därmed ha skapats omedvetet, vilket i sin tur påverkar lärarens och elevernas agerande och var de lägger fokus på i matematikundervisningen. / In every classroom and group of students it occurs norms and expectations (Skott, Jess, Hansen & Lundin, 2010). Norms creates in interaction between the teacher and students, which conduce to that norms establish in the classroom (Cobb & Yackel, 1996). If the knowledge and consensus about norms is missing there is a risk that the students mathematical learning will be inhibit. The aim of the study is to describe which sociomathematical norms that shows in one classroom, in 5th grade. The theoretical basis of the study is social constructionism. 40 students from a school in Sweden was observed and eight of them and one of the teacher was interviewed in order to emphasize which sociomathematical norms that occurs during the observed lesson. Subsequently the teacher and eight students got to express the norms. The result showed that it’s not prevail a consensus between the teacher and students about the three norms: 1) discussion as a way to work 2) an acceptable mathematic answer and at last 3) the mathematic language and its meaning in the education. There was a consensus between some of the sociomathematical norms differences were founded though, which influences the teacher and the student view of what the mathematical education implicates. The conclusion of the study is that in some cases there is a gap between the teacher and the students’ knowledge about norms. The norm has accordingly been created unknowingly, which in turn can influence the teacher and the students acting and where they put their focus in their mathematical education.
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Ingen kan allt - men alla kan något : En kvalitativ studie av hur lärare beskriver att elever i matematiksvårigheter hanterar motgångar / No one can do everything - but everyone can do something : A qualitative study of how teachers describes that students in mathematical difficulties handles adversityJohansson, Berith January 2019 (has links)
Syftet med denna studie har varit att se hur undervisande lärare kan hjälpa alla elever i sitt klassrum. Vad är det som krävs för att komma dit? Vilka studier finns det, vad kommer de fram till? Går det att koppla ihop det känslomässiga med det vetenskapliga, för att få elever att utveckla sina förmågor och självkänsla, ge eleverna ett sätta att hantera motgångar? Studien har genomförts med intervjuer av pedagoger inom skolvärlden för att få fram hur de uppfattar och beskriver att elever i matematiksvårigheter hanterar motgångar. Studiens resultat visar att när det gäller att lära elever att hantera motgångar, vilka i sin tur kan göra att elever tappar motivation, har vi pedagoger och vuxna runt omkring barnet en viktig roll i att stärka dem och få dem att se sina starka sidor, men även se vilka förändringar vi vuxna måste göra. Med en bra attityd gentemot matematiken får eleverna mer motivation, vilket i sin tur ger dem en större chans att hantera motgångar. / The purpose with this study was to examine how educating teachers can help all their pupils in the classroom. What does it take to get there? What studies are there, what do they say? Is it possible to connect the emotional, with the scientific to get pupils to elope their abilities and self-esteem, give the pupils a way to handle adversities? The study was done with interviews of school educators to find how they perceive and describes how pupils with mathematical disabilities handle adversities. This study’s result shows that when it is a question of pupil’s way of handling adversity, which might lead to that the pupils lose their motivation, educators and adults around the child have an important role in strengthening the pupils and make them see their strengths, but also see what kind of changes we as adults have to do. With a good attitude towards mathematic, the pupils get more motivated and it gives them a bigger possibility to handle adversities.
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Modelo de margem de contribuição aplicado ao planejamento de marketing no transporte marítimo regular de contêineres. / Contribution margin model applied to the marketing planning in the container liner service.Costa, Gustavo Adolfo Alves da 22 June 2006 (has links)
Este trabalho apresenta o panorama atual da indústria do transporte marítimo regular de contêineres e o mercado em que atua, concluindo que o crescimento da atividade econômica mundial, e conseqüentemente na demanda de transporte, exige maiores investimentos por parte dos armadores para adequação da oferta de capacidade de transporte e de rotas, aumentando a competição entre os mesmos. Os processos de globalização, desregulamentação e de concentração alteram significativamente nível de competição da indústria, tornando os armadores de baixa lucratividade em potenciais alvos para aquisições por parte de empresas mais competitivas e lucrativas. A implementação de contratos de serviços entre um armador e seus clientes, decorrentes da OSRA 1998, demandam uma revisão na metodologia aplicada em seu planejamento de marketing&sales , de forma a torná-lo mais científico, com uma maior utilização de ferramentas de pesquisa operacional, uma vez que a seleção dos clientes com os quais terá contratos, a duração destes, os níveis de fretes e os imbalances decorrentes destes contratos são fatores fundamentais para a sua rentabilidade. A possibilidade de utilização de um modelo de sistema de apoio a decisão, baseado em margem de contribuição, no planejamento de marketing&sales de um armador motivou a elaboração de uma metodologia para desenvolvimento de uma ferramenta de apoio à decisão, na qual os parâmetros relativos à demanda de transporte, capacidades, custos e receitas podem ser testados para análise da atuação do armador no mercado, visando a seleção de cargas e clientes que maximizam a margem bruta de contribuição dos fretes. A metodologia adotada e o modelo desenvolvido em programação linear mostram-se bastante consistentes e seus resultados apresentam uma boa aderência à realidade encontrada na indústria, uma vez que, os problemas normalmente apresentados no planejamento de marketing&sales de um armador são tratados e solucionados pelo modelo. / This work presents the current view about liner shipping industry and the market where it acts, summing up that the growth of world economic activity, and consequently in the demand of transport services, requires greater investments from the shipping lines in order to adjust their transport capacities and routes, increasing the competition among them. The globalization processes, deregulation and concentration changed the level of industry competition significantly, becoming the shipping lines with low profitability in white potentials for acquisitions on the part of more competitive and lucrative shipping lines. The service contracts implementation between a shipping line and its customers, as a result of OSRA 1998, demands a revision in the methodology applied in its planning of marketing & sales, enabling it more scientific with a bigger use of operational research tools, since the customers election based on service contracts and its validity, the freights level and the imbalances pertaining to said contracts are basic factors for its yield. The possibility of use a decision support system, based on contribution margin, in the shipping line's planning of marketing & sales, motivated the elaboration of a methodology for development of a decision support tool where the relative parameters to the demand of transport, capacities, costs and revenue can be tested for better shipping line performance analysis in the market, aiming the election of shipments and customers that maximize the freights' gross contribution margin. The adopted methodology and the model developed in linear programming reveal sufficiently consistent and its results present a good tack to the reality found in the industry, since the problems usually presented in the shipping line's planning of marketing & sales are treated and solved thru the model.
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