Submitted by MARCIA ROVADOSCHI (marciar@unifra.br) on 2018-08-20T16:57:57Z No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertacao_DionatanDeOliveiraNadalon.pdf: 4464022 bytes, checksum: 362c8c1964c345c37a84e4c044af5111 (MD5) / Made available in DSpace on 2018-08-20T16:57:57Z (GMT). No. of bitstreams: 2 license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Dissertacao_DionatanDeOliveiraNadalon.pdf: 4464022 bytes, checksum: 362c8c1964c345c37a84e4c044af5111 (MD5) Previous issue date: 2018-03-21 / This qualitative research aims to apply and analyze a pedagogical workshop called "Surfaces and Solids of Revolution in GeoGebra 3D", which was used with a Pibid group of a Higher Education institution, composed of students of Mathematics Graduation degree and teachers from the RS state and from the city of Santa Maria. To the participants, it was proposed to differentiate polygon of polygonal region from a revolution solid surface. It was also presented how to obtain them using GeoGebra software, making adaptations of theoretical questions contained in the National High School Examination (ENEM) in dynamic activities, and using the software resources. In this sense, it was accomplished, initially, an analysis from didactic books referred by PNLD about the surface and revolution solids content, in order to recognize how this theme is approached. After workshop application, a detailed analysis of the constructions of two of the participants was carried out. This choice was made based on different experiences, one of whom is a student of the second semester of Mathematics Degree and actively participated in all activities, accomplishing all the records requested by the researcher. The other one was chosen due to acting as a teacher of the Municipality. Both participants are part of the Pibid group. The collected data were used so that the investigator could verify how GeoGebra 3D can facilitate the obtaining and the visualization of surfaces and revolution solids in a trial of pedagogical workshop accomplished in the formation of teachers of Mathematics. It was concluded that the software became a feasible mean to develop and facilitate the visualization of geometric problems involving surfaces and solids of revolution, in particular those that were included in ENEM of 1999 and 2010, with the verification of the constant tests in the period of 2009- 2015. / Esta pesquisa, de caráter qualitativo, tem como objetivo aplicar e analisar uma oficina pedagógica denominada “Superfícies e Sólidos de Revolução no GeoGebra 3D”, a qual foi empregada a um grupo Pibid de uma instituição de Ensino Superior, composto de discentes do curso de Licenciatura em Matemática e professores da rede estadual do RS e do município de Santa Maria. Aos participantes, foi proposto diferenciar polígono de região poligonal e superfície de sólido de revolução. Também foi apresentado como obtê-los utilizando o software GeoGebra, realizando adaptações de questões teóricas constantes do Exame Nacional do Ensino Médio (ENEM) em atividades dinâmicas, e usufruindo dos recursos do software. Nesse sentido, foi realizada, inicialmente, uma análise de livros didáticos referidos pelo PNLD sobre o conteúdo superfície e sólidos de revolução, com o propósito de reconhecer como é abordada essa temática. Após a aplicação da oficina, foi efetuada uma análise minuciosa das construções de dois dos participantes. Essa escolha foi feita em função de experiências distintas, sendo que um deles é estudante do segundo semestre de Licenciatura em Matemática e participou ativamente de todas as atividades, realizando todos os registros solicitados pelo investigador. O outro foi escolhido por atuar como professor do Município. Ambos os participantes fazem parte do grupo Pibid. Os dados coletados foram utilizados para que o investigador pudesse verificar de que forma o GeoGebra 3D pode facilitar a obtenção e a visualização de superfícies e sólidos de revolução em uma proposta de oficina pedagógica realizada na formação de professores de Matemática. Foi concluído que o software se tornou um meio viável para desenvolver e facilitar a visualização de problemas geométricos envolvendo superfícies e sólidos de revolução, em particular aqueles que constaram do ENEM de 1999 e 2010, com a verificação das provas constantes no período de 2009-2015.

O presente trabalho contém sugestões de práticas de ensino, utilizando o origami modular, que podem ser aplicadas nas aulas de geometria do Ensino Fundamental. As práticas foram desenvolvidas de maneira que o professor possa enriquecer suas aulas gastando pouco tempo no preparo, e apresentam objetos manipuláveis que tornam o processo de ensino-aprendizagem mais atrativo e significativo. Apresentamos todo o processo de elaboração dos módulos e seus respectivos encaixes para a construção, usando origami modular, dos cinco Poliedros de Platão utilizados nas propostas de práticas de ensino. / This study suggests the origami modular as a teaching method to be used in Geometry class of Elementary School. The origami modular technique was developed for educators to advance their teaching approaches with hands-on activities without spending too much time to prepare for class, producing a more interactive and attractive learning-teaching process. In this study, we will describe the entire procedure to create and to build the modules with its corresponding parts using the origami modular originated from the five Platonic solids proposed in teaching methods.

A subject didactic analysis of the development of the spatial knowledge of young children through a problem-centred approach to mathematics teaching and learning Researchers and educators are in agreement that it is very important that the spatial knowledge of the young child should be developed from the first years of school. In order to develop these skills the appropriate materials and activities need to be designed. This can only be realised through proper research methods that not only acknowledge the cognitive abilities of the young child, but also the social and cultural backgrounds of the children. This implies that due attention should be given to language, beliefs, cognitive skills, socio-economic background, schooling and teaching systems. The immediate worlds of the children should be used in developing the spatial skills of these children. The work that is described in this document is an effort to describe the complexity of such a research endeavour. The development of the spatial skills of young children were investigated through three different instructional/executional media namely language, drawing/writing and physical constructions. The three major variables that were described as influencing the spatial development in the different media were the task that was given to the children, the objects that the children worked with and the dimension and viewpoints of the objects and situations. It was clear from the research that in the development of the spatial skills of children, attention should. be given to: the real-world of the children, hands-on-experiences of the children, the cultural background, the language of instruction, the socio-economic background the classroom culture, the media of instruction and the cognitive skills of the children. / Proefskrif (PhD (Didaktiese Opvoedkunde))--PU vir CHO, 1997

A subject didactic analysis of the development of the spatial knowledge of young children through a problem-centred approach to mathematics teaching and learning Researchers and educators are in agreement that it is very important that the spatial knowledge of the young child should be developed from the first years of school. In order to develop these skills the appropriate materials and activities need to be designed. This can only be realised through proper research methods that not only acknowledge the cognitive abilities of the young child, but also the social and cultural backgrounds of the children. This implies that due attention should be given to language, beliefs, cognitive skills, socio-economic background, schooling and teaching systems. The immediate worlds of the children should be used in developing the spatial skills of these children. The work that is described in this document is an effort to describe the complexity of such a research endeavour. The development of the spatial skills of young children were investigated through three different instructional/executional media namely language, drawing/writing and physical constructions. The three major variables that were described as influencing the spatial development in the different media were the task that was given to the children, the objects that the children worked with and the dimension and viewpoints of the objects and situations. It was clear from the research that in the development of the spatial skills of children, attention should. be given to: the real-world of the children, hands-on-experiences of the children, the cultural background, the language of instruction, the socio-economic background the classroom culture, the media of instruction and the cognitive skills of the children. / Proefskrif (PhD (Didaktiese Opvoedkunde))--PU vir CHO, 1997

Στην παρούσα εργασία γίνεται μια προσπάθεια να ανιχνευθούν οι πρακτικές των μαθητών στον υπολογισμό του εμβαδού κανονικών και μη σχημάτων, μέσα από τη χρήση ενός κατάλληλου υπολογιστικού περιβάλλοντος. Αυτό το συγκεκριμένο λογισμικό αναπτύχθηκε στη γλώσσα προγραμματισμού ActionScript 3.0, με την οποία κατασκευάστηκε μια εφαρμογή, η οποία βασίζεται στη πλατφόρμα Adobe Flash Player για να τρέξει στον ηλεκτρονικό υπολογιστή του εργαστηρίου της σχολικής μονάδας. Τα έργα τα οποία ανέλαβαν οι μαθητές να διεκπεραιώσουν μέσω του λογισμικού, περιλαμβάνουν εννοιολογικά χαρακτηριστικά του εμβαδού διαφόρων σχημάτων και προσφέρουν στους μαθητές μια γραφική αναπαράσταση, με άμεση απεικόνιση και επαλήθευση των συλλογισμών και εκτιμήσεων τους. / In this paper an attempt is made to detect the practice of students in the calculation of the surface normal, abnormal shapes, through the use of a suitable computing environment. This particular software was developed in the programming language ActionScript 3.0, which built an app , which is based on platform Adobe Flash Player to run in the computer laboratory of the school unit. The projects undertaken by students to carry through the software, include conceptual features of the area of various shapes and provide students with a graphical representation, with direct visualization and verification considerations and estimations.

Nas aulas de Geometria, de modo geral, reconhece-se uma polarização entre atividades perceptivas, manipulativas - que são propostas principalmente nas primeiras séries da escolarização - e a sistematização conceitual, a teorização, sendo ela formal ou informal, nas séries seguintes. Em outras palavras, não há articulação entre os processos que dizem respeito à percepção com aqueles teóricos que se referem à concepção. Esse caminho geralmente faz com que os alunos não compreendam a Geometria, não construam um conhecimento significativo. Neste trabalho, consideramos que, em todos os níveis do ensino, é fundamental a articulação entre a percepção e a concepção e que, juntamente com elas, duas outras dimensões da dinâmica do processo de construção do conhecimento geométrico - a construção e a representação - são essenciais. A primeira refere-se à elaboração de materiais em sentido físico e a segunda, à reprodução, por meio de desenhos, de objetos percebidos ou construídos. Partindo do referencial teórico estabelecido, foi feito primeiramente, um estudo histórico a respeito do ensino da Geometria, particularmente no período que vai da 5ª até a 8ª série do Ensino Fundamental, ou seja, investigou-se como as principais Propostas Curriculares instituídas no sistema nacional de ensino, abordaram a articulação entre os quatro processos fundamentais na construção do conhecimento geométrico. Amparando-se nesse estudo histórico, observou-se a existência ou não de equilíbrio e trânsito entre os quatro aspectos, no caso específico de alguns livros didáticos que foram usados por alunos e professores desde o século XIX, mais especificamente desde a criação do Colégio Pedro II, no ano de 1837, até os dias atuais. Os resultados revelaram que, em todas as épocas, os autores dos livros didáticos sempre abordaram a representação no ensino da Geometria. Já com relação à construção não ocorreu o mesmo, ela foi estimulada apenas em alguns dos livros selecionados. Por fim, concluímos que, alguns dos livros didáticos analisados, são compatíveis com o referencial teórico estabelecido. Isso significa que, mesmo considerando livros mais antigos, sempre existiram autores que se preocuparam em articular os quatro processos fundamentais no ensino da Geometria. Finalizando, propomos um conjunto de atividades com o tema \"Razão Áurea\", para serem aplicadas em sala de aula. Essas atividades foram elaboradas de forma tal a respeitar os atuais PCN\'s e estabelecendo a articulação entre a percepção, a construção, a representação e a concepção. / In Geometry classes, in general way, are recognized a polarization between perceptive activities, manipulative - that are mainly propose in the firsts steps of education - and a conceptual systematization, a theorization, being formal or informal, in the following grades. In other words, there is no articulation between the processes that concern perception with those theoretical ones who concern conception. Generally these ways do that student do not understand the Geometry, do not build a concrete knowledge. In this work, considering that, in all levels of education, is fundamental the articulation between the perception and the conception and, together with then, two others dimensions of the dynamics constructions processes of the geometric knowledge - construction and representation - are essentials. The first one is related to elaboration of materials in physical way and the second one, to reproduction, by drawing, of perceived or constructed objects. Starting with theoretical referential established, first was done, a historical study about the Geometry teaching, particularly in the period around fifth grade to eighth grade of the Ensino Fundamental, in other words, investigated as the mains Curricular Proposals instituted in the national\'s education system, approaching the articulation between the four fundamental process necessary to construct the geometric knowledge. Supporting in these historical study, become notice the existence or not of a equilibrium and transit between the four aspects, in the specific case of some didactics books who was used by students and teachers since the XIX century, more specifically since the creation of the Colégio Pedro II, in the year 1837, until current day. The result shows that, in all times, authors of didactic books always approached the representation in the geometry teaching. With the construction doesn\'t occur the same fate, it was stimulated only in a few selected books. Finally, we conclude that, in a few didactic books that was investigated, are harmonious with the theoretical referential established. This means that, just considering older books, always existed authors who was preoccupied with an articulation between the four basics processes in Geometry teaching. Finishing, we propose a set of activities with the subject \"Golden Ratio\", to be applied in classroom. These activities were elaborated respecting the PCN\'s (National Curricular Parameters) and establishing the articulation between perception, construction, representation and conception.

Submitted by Jean Medeiros (jeanletras@uepb.edu.br) on 2016-05-19T12:19:08Z No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5) / Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2016-07-21T20:40:51Z (GMT) No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5) / Approved for entry into archive by Secta BC (secta.csu.bc@uepb.edu.br) on 2016-07-21T20:41:07Z (GMT) No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5) / Made available in DSpace on 2016-07-21T20:41:07Z (GMT). No. of bitstreams: 1 PDF - Gilberto Beserra da Silva Filho.pdf: 2246546 bytes, checksum: 2ce35dfd1f7a8e15ac073b28740b5161 (MD5) Previous issue date: 2015-12-04 / Our research work covers the field of geometry in order to investigate how a sequence of activities can contribute to the level advancements under the Van Hiele‟s model, starting from concrete everyday life objects and manipulable materials, relating them with the concepts and properties of geometric solids. To this end, we conducted a qualitative research in a senior year of a state High School in the city of Flores - PE. As our method, a series of activities were apllied, using manipulable materials, the van Hiele model and aspects of the social interaction, in view of the relevance of teaching and learning geometry. It was observed that, among the main implications of this research, the interpersonal relationships, group work and progress on development levels of geometric thinking can be emphasized. This research was conducted in five stages; the first four with the class working in groups, carrying out the presented activities; and the last one was carried out individually, with the students solving a questionnaire to verify whether there has been level progress, based on the van Hiele theory. The data were acquired through analysis of recorded audios, films, oral and written communication records. We rely on van Hiele‟s studies, especially on his levels of learning, which guided the elaboration of the activities sequence. Concerned about an appropriate methodology to more effectively contribute to understanding of the problem, we analyzed some teaching tools, including the Laboratório de Ensino de Geometria and two methodological tendencies of the mathematical teaching, emphasizing those that we considered more suitable for use in spatial geometry teaching. Our goal was to provide objective answers to pertinent solutions in our research and show that it is possible to engage students in the process, in a pleasant way and that they can build their knowledge with meaning. The results show a certain fragility that exists in the student regarding the knowledge of geometry. On the other hand, the results also show the existence of a potentiality for realization of the work through social interaction; therefore, we conclude that the sequence of activities, tied to the way they were experienced by the students, presents itself as a significant contribution so there is advancement in the development of geometrical thinking, based on the van Hiele model. / Nosso trabalho de pesquisa aborda o campo da geometria, com o objetivo de investigar como uma sequência de atividades pode contribuir para o avanço de nível segundo o modelo van Hiele partindo de objetos concretos do cotidiano e de materiais manipuláveis relacionando-os com os conceitos e propriedades de sólidos geométricos. Para tanto, realizamos uma pesquisa de caráter qualitativo, numa turma de 3º Ano do Ensino Médio de uma escola estadual do município de Flores – PE. Utilizamos como método, a realização de uma sequência de atividades, utilizando materiais manipuláveis, o modelo van Hiele e aspectos da interação social, tendo em vista a relevância do ensino e aprendizagem da geometria. Observamos que, entre as principais repercussões desse trabalho, destacamos as relações interpessoais, o trabalho em grupo e o avanço sobre os níveis de desenvolvimento do pensamento geométrico. Essa pesquisa foi desenvolvida em cinco etapas, as quatro primeiras com a turma trabalhando em equipe na realização das atividades propostas, e a última individualmente, na resolução de um questionário para verificarmos se houve avanço de níveis, baseado na teoria de van Hiele. Os dados foram recolhidos por meio da observação de áudios, filmagens, registros da comunicação oral e escrita. Baseamo-nos nos estudos de van Hiele, sobretudo nas fases de aprendizagem, que nos nortearam na elaboração da sequência de atividades. Preocupados com uma metodologia adequada para contribuir de forma mais eficaz para compreensão do problema, fizemos uma análise de algumas ferramentas de ensino, entre elas o Laboratório de Ensino de Geometria e duas tendências metodológicas de ensino de Matemática, dando ênfase àquelas que achamos mais adequadas para utilizar no ensino de geometria espacial. Nossa proposta foi oferecer respostas objetivas para soluções pertinentes na nossa pesquisa e demonstrar que é possível envolver os alunos durante o processo, de forma prazerosa e que eles possam construir seu conhecimento com significado. Os resultados demonstram uma certa fragilidade que há por parte do aluno quanto ao conhecimento de geometria. Por outro lado, evidencia a potencialidade que há na realização do trabalho a partir da interação social, sendo assim concluímos que a sequência de atividades, atrelada à forma como foi vivenciada pelos alunos, contribui de forma significativa para que haja o avanço no desenvolvimento do pensamento geométrico baseado no modelo van Hiele.

Submitted by Jorge Silva (jorgelmsilva@ufrrj.br) on 2018-05-10T18:03:08Z No. of bitstreams: 1 2017 - S?rgio Dias da Silva.pdf: 9403214 bytes, checksum: df4ce14ff65aba9d6d0751bebc73f146 (MD5) / Made available in DSpace on 2018-05-10T18:03:10Z (GMT). No. of bitstreams: 1 2017 - S?rgio Dias da Silva.pdf: 9403214 bytes, checksum: df4ce14ff65aba9d6d0751bebc73f146 (MD5) Previous issue date: 2017-06-13 / CAPES / This thesis sought to observe how Brazilian Mathematics textbooks, in the period from 1931 to 2004, reflect the influences (pedagogical, political and legislative) of the time for the teaching of Geometry. To that end, the chosen method in this research was a documental analysis, using a qualitative approach, through which we observed parts of didactic books regarding the forms of treatment for Geometry. For each period analyzed, a panel was created that presents the social context, the educational legislation, the proposal for the teaching of Mathematics and the specific approach that was given to the teaching of Geometry, in order to mediate the observation of textbooks. From the observations made, there is evidence that the approach to Geometry in textbooks was linked more to political-social projects than to educational legislation. / Essa disserta??o buscou observar de que forma o livro did?tico de Matem?tica brasileiro traduziu, no per?odo de 1931 a 2004, as influ?ncias (pedag?gicas, pol?ticas e da legisla??o) da ?poca para o ensino da Geometria. Para isso, o m?todo utilizado na pesquisa foi a an?lise documental, usando uma abordagem qualitativa, por meio da qual observamos partes de livros did?ticos no que se referia ?s formas de tratamento para a Geometria. Para cada per?odo analisado foi constru?do um painel que apresenta o contexto social, a legisla??o educacional, a proposta para o ensino de Matem?tica e a abordagem espec?fica que era dada ao ensino da Geometria, com o objetivo de mediar a observa??o dos livros did?ticos. Mediante as observa??es realizadas h? ind?cios de que a abordagem ? Geometria nos livros did?ticos estava interligada mais a projetos pol?tico-sociais do que propriamente ? legisla??o educacional.

Orientador: Nelson Antonio Pirola / Banca: Odalea aparecida Viana / Banca: Regina Maria Pavanello / Resumo: O objetivo da pesquisa foi analisar o conhecimento declarativo de alunos do ensino médio sobre polígnos e poliedros em termos de seus atributos difinidores, das relações subordinadas e supra-ordenadas e de seus exemplos e não-exemplos. A concepção teórica utilizada foi o modelo de formação de conceitos de Klausmeier e Goodwin (1977). Os participantes foram 253 alunos do ensino de uma escola de rede oficial pública de ensino de Bauru, que responderam, na primeira fase, um questionário, uma prova matemática, um testes de atributos definidores, um teste de exemplos e não-exemplos e um teste de relações subordinadas e supra-ordenadas. Na segunda fase, foram selecionados, aleatoriamente, três alunos com média abaixo de cinco pontos e três alunos com média igual ou superior a cinco pontos para participarem de uma entrevista. Os resultados coletados na primeira fase, analisados quantitativamente, mostram que no teste de atributos definidores a nota média foi de 6,03, sendo que não houve diferença significativa entre as séries (p=0,084). No teste de exemplos e não-exemplos a nota média 5,59 refletiu o desempenho dos participantes e não foram encontradas diferenças significativas entre as séries (p=0,057). Em relação ao teste de relações subordinadas e supra-ordenadas a nota média dos participantes foi 5,64, sendo que a nota média obtida pela primeira série diferiu significativamente da nota média obtida pela terceira série (p=0,024). Em relação aos dados da segunda fase, analisados qualitativamente, alguns participantes pensavam, de maneira equivocada, sobre os atributos definidores de polígnos e de poliedros. Os atributos irrelevantes não interferiam na identificação das figuras selecionadas do teste de exemplos e não-exemplos como exemplos polígnos. / Abstract: The objective of this reseach was to analyse the declarative konowledge of students from Elementary School Teaching about polygons and polyhedrons in terms of their defining atributes, the subordinate relations and supraordinate and their examples and no-exemples. The theoretical conception used was the model of formation from Klausmeier and Goodwin (1977)'s concepts. The participants were 253 students from Elementary School Teaching of one school of the Oficial Public Network from Bauru, who answered, in the first phase one questionnaire, one math test, one test of defining attributes, one test of examples and no-examples and one test of subordinate relations and supraordinate. In the second phase, three students were randomly selected with the average below five points and three students with equal average or higher to five points who participated in an interview. The collected results in the first phase, quantitatively analysed, showed that in the test of defining attributes, the average grade was 6,03, so there was no significative difference among the series (p=0,084). In the test of examples and no-examples the average grade 5,59 reflected the performance of the participants and no significative differences were found among the series (p=0,057). In the relation to the test of subordinate relations ans supraordinate the average grade of the participants was 5,64, so the average obtained by the first grade had no significative difference from the average obtained by the third grade (p=0,024). In relation to the data of the second phase, qualitativety analysed, some participants thought wrongly about the defining attributes of polygons and polyhedrons. The irrelevants attributes did not interfere in the identification of the selected pictures of the test of examples and no-examples as polygons examples. / Mestre

This dissertation brings an investigation about the problem resolution strategy from three classes of the 9 grade and along with them to describe their strategies to resolve problems involving geometric concept. This research has like objective to verify the way these students recognize the mathematics problems, the way they appropriate the concepts, if their strategies are articulated with the point of view of the geometry as well as the way they describe their mathematic thoughts concerning the problem resolution such as investigate the different strategies used by the respective classroom associating the concepts whereof themselves appropriated in order to resolve the questions, identify the use of the geometric language in the mathematics problem resolution but also the geometric concepts are articulated and understood for them. The theoretical framework guide this study about the problem resolutions shows the theories such as: Carvalho (2007), Ponte (2006), Palhares (2004), and about the Geometric studies theories such as: Almouloud (2013) and Brasil (1998), among others. The investigation was characterized like a study of case in a qualitative approach. It were analyzed 192 solutions through the survey offered for them including two mathematical problems for a total of 96 students of three public schools regular classroom, two of them situated in Alagoas and another one in the Capital of Alagoas, involved in an (Educational Observatory Project) - Projeto Observatório da Educação – OBEDUC. The results achieved showed the students do not have the habit to resolve problems, limiting them to develop the mathematical knowledge and easy the difficulties of conception relating to the geometrics knowledge as well as about questions mathematics. It was found also the students gave up on using strategies without the use of ready patterns. This study emphasizes the importance of the problems resolve practice in the classroom aiming to explore the mathematical concepts or articulate the different teaching methodologies. / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Esta pesquisa investiga as estratégias de resolução de problemas de três turmas do 9º ano, e como esses alunos descrevem suas estratégias para resolver problemas que envolvem conceitos geométricos. O objetivo da pesquisa é verificar como os alunos reconhecem os problemas matemáticos; como se apropriam dos conceitos, se as suas estratégias são articuladas pelo ponto de vista da geometria e como esses alunos descrevem seu pensamento matemático, no tocante à resolução de problemas, bem como investigar as diferentes estratégias utilizadas pelas turmas, relacionando os conceitos de que o aluno se apropriou ao resolver as questões; identificar a utilização da linguagem geométrica na resolução de problemas matemáticos e como as definições geométricas são articuladas e entendidas pelos alunos. Utilizou-se a fundamentação teórica sobre resolução de problemas a partir dos estudos de Carvalho (2007), Ponte (2006), e Palhares (2004), e os estudos de Geometria em Almouloud (2013) e Brasil (1998), entre outros. A investigação caracterizou-se como um estudo de caso numa abordagem qualitativa. Analisaram-se 192 soluções, em uma atividade proposta às turmas investigadas, contendo dois problemas matemáticos, num total de 96 alunos de uma turma de ensino regular de três escolas públicas, duas no interior de Alagoas e uma na capital alagoana, participante do Projeto Observatório da Educação – OBEDUC. Os resultados obtidos evidenciaram que os alunos possivelmente não têm o hábito de resolver problemas, o que os leva a não desenvolver o conhecimento matemático e a não minorar as dificuldades conceituais no que se refere aos conhecimentos geométricos, bem como às demais áreas da Matemática. Constatou-se também que os alunos procuraram lançar mão de estratégias sem a utilização de fórmulas prontas. Este estudo ressalta o quanto a prática de resolver problemas se faz necessária em sala de aula, seja para explorar os conceitos matemáticos, seja ela para articular as mais diferentes metodologias de ensino.