Made available in DSpace on 2017-07-21T20:56:27Z (GMT). No. of bitstreams: 1 Fabricio Marom Moura.pdf: 5154244 bytes, checksum: 47f0642926df01b449301ba504e49fe7 (MD5) Previous issue date: 2015-08-25 / The main focus of this work is to present the solution of problems supported by softwares as a pedagogical alternative in order to improve the teaching and the learning of mathematics content. In order to do this, the present work connects the aim of the National Curricular Parameters (PCN's), the technique described by Pólya in his book "How to solve it", along the possibility of utilization of programs such as: GeoGebra, Graphmatica, Spreadsheets and Maxima. It is known that many mathematics educators have shown interest for this subject of research. However, despite of all enthusiasm, few of them can put it into practice in the teaching-learning process. The solution of problems still exists as a complementary activity and is sometimes confused with solving exercises where the answer is not analyzed and the values found have no meaning for the student. The progressive scientific and technological evolution requires of teachers new ways to teach their students. In particular, the present work makes interesting connections between Mathematics and Informatics,extracting this union tools that stimulate curiosity, improve mathematical reasoning, making easy contents and concepts, and mainly allow the discovery of the path of resolution. In this way, we intend to show the true face of this teaching technique, by using Informatics, basing it and giving examples of how to implement activities that enable the student to develop mathematical concepts and processes, ability to solve problems, to reason, to communicate mathematically and as citizens. This research is based on bibliographical works that addresses issues related to teaching and learning of mathematical process.Some examples demonstrate that the mediation of computers brings new possibilities in solving problems. Concerning the last claim, it is expected that mathematics contribute to the formation of a citizen in its fullness, providing their integration as citizens in the workplace. / O enfoque principal deste trabalho é apresentar a resolução de problemas amparados por softwares como uma alternativa pedagógica para o ensino e a aprendizagem de conteúdos da Matemática. Para tanto, relaciona os objetivos dos PCN´s, a técnica descrita por Pólya em sua obra “How to solve it”, juntamente com possibilidade de uso de programas como: GeoGebra, Graphmatica, Planilhas Eletrônicas e Maxima. Sabe-se que muitos educadores matemáticos demonstram interesse por este assunto, porém, apesar de todo entusiasmo, poucos conseguem colocá-lo em prática no processo ensinoaprendizagem. A resolução de problemas ainda vigora como uma atividade complementar, sendo às vezes confundida com a resolução de exercícios, onde a resposta não é analisada e os valores encontrados não possuem significado para o aluno. A progressiva evolução científica e tecnológica demanda dos professores novas formas de ensinar seus alunos. Neste trabalho em especial, relacionam-se Matemática e Informática, extraindo desta união ferramentas capazes de estimular a curiosidade, melhorar o raciocínio matemático, tornar conteúdos e conceitos mais tangíveis e principalmente propiciar o gosto pela descoberta do caminho da resolução. Assim pretende-se demonstrar a verdadeira face desta técnica de ensino, utilizando a Informática, embasando-a e dando exemplos de como proceder para pôr em prática atividades que promovam nos alunos o desenvolvimento de conceitos, processos matemáticos e da capacidade de resolver problemas, de raciocinar, de comunicarem-se matematicamente e como cidadãos. A pesquisa realizada foi bibliográfica, baseada em obras que abordam questões inerentes ao processo ensino-aprendizagem da Matemática. Demonstra-se através de exemplos que a mediação de softwares trás novas possibilidades para resolução de problemas. Nesse aspecto espera-se que a Matemática como ciência contribua para a formação de um cidadão na sua plenitude, possibilitando de fato sua inserção, como cidadãos, no mundo do trabalho.

Thesis (MPhil)--Stellenbosch University, 2012. / ENGLISH ABSTRACT: Because English is the most widely-spoken second language in South Africa, it is becoming increasingly important for learners to be able to master the English language, including English grammatical structures; not only to do well at their internal and external school examinations, but also to communicate effectively in a progressively anglicised educational, occupational and commercial society. Educators of English First Additional Language (FAL) often have to augment existing textbook material, especially in the field of grammar teaching and learning, as many of the more recent textbook publications do not make sufficient provision for the communicative teaching and learning of grammatical structures. One way in which textbook material could be augmented would be to develop interactive multimedia learning material for the teaching of grammar. However, many South African English FAL classrooms are underresourced in terms of computers and other technological tools needed to use such interactive computer assisted language learning (CALL) material. The learners being taught in these technologically barren classrooms may fall far behind their peers in terms of exposure to interactive educational technology, i.e. they may become victims of the digital divide. The objective of this study was to investigate whether the digital divide could be addressed with the development and use of computer assisted language learning material that makes provision for learner interactivity and could be used in classrooms with minimal access to technological tools. To determine the attitudes of educators with regard to grammar instruction in general, as well as the use of technology in the teaching and learning of grammar and the general accessibility of technology in English FAL classrooms, educators of English FAL at nine rural, Afrikaans-medium schools situated in low-income communities in the Western and Northern Cape were asked to complete a questionnaire. The results of this survey were used to ascertain what kind of multimedia learning material would be suitable for use in technologically challenged English FAL classrooms. As part of this study, exemplar material has been developed to make a recommendation regarding the type of multimedia material that could be used in technologically under-resourced classrooms. / AFRIKAANSE OPSOMMING: Aangesien Engels die taal is wat die meeste as tweede taal in Suid-Afrika gebesig word, raak dit toenemend belangrik vir leerders om die Engelse taal, insluitende die grammatikale strukture van Engels te bemeester; enersyds om goed te doen in hulle interne en eksterne skooleksamens en andersyds om effektief te kan kommunikeer in ’n toenemend verengelsde onderwys-, werks- en ekonomiese gemeenskap. Opvoeders van Engels Eerste Addisionele Taal (EAT) moet baiekeer bestaande handboekmateriaal aanvul, aangesien baie van die nuwe handboeke nie voldoende voorsiening maak vir die kommunikatiewe onderrig en leer van grammatikale strukture nie. Een manier waarop handboekmateriaal aangevul kan word, is om interaktiewe multimedia-leermateriaal te ontwikkel om grammatika te onderrig. Baie Suid-Afrikaanse klaskamers is egter nie voldoende toegerus met rekenaars en ander tegnologiese materiaal wat nodig sou wees om sodanige interaktiewe rekenaar-ondersteunde leermateriaal te gebruik nie. Leerders wat onderrig word in sulke tegnologies swak toegeruste klaskamers mag dus toenemend tekort skiet in vergelyking met hulle meer bevoorregte tydgenote. Die hoofdoel van hierdie studie was om te ondersoek of hierdie digitale skeiding aangespreek kan word deur die ontwikkeling en gebruik van rekenaar ondersteunde leermateriaal wat, terwyl dit voorsiening maak vir leerder-interaktiwiteit, ook gebruik kan word in klaskamers met minimale toegang tot tegnologie. Om die houdings van opvoeders ten opsigte van grammatika-onderrig in die algemeen, sowel as die gebruik van tegnologie in die leer en onderrig van grammatika; en die algemene beskikbaarheid van tegnologie in Engels EAT klaskamers te ondersoek, is opvoeders aan nege plattelandse, Afrikaans-medium skole geleë in lae-inkomste woonareas in die Wes- en Noord-Kaap gevra om ’n vraelys te voltooi. Die uitslag van hierdie ondersoek is gebruik om vas te stel watter tipe multi-media leermateriaal geskik sou wees vir gebruik in tegnologies swak toegeruste Engels EAT klaskamers. As deel van hierdie studie is voorbeeld-materiaal ontwikkel om ’n aanbeveling te maak rakende die tipe materiaal wat onder hierdie omstandighede gebruik sou kon word.