696 resultados para Mathematics teachers’ practices


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La présente recherche collaborative vise à étudier les pratiques de lecture à haute voix d’enseignantes expertes et leur influence sur le développement de l’habileté des élèves du préscolaire à faire des inférences. Plus précisément, nous décrivons les interventions, lors des lectures à haute voix, de quatre enseignantes expertes que nous avons formées pour travailler la compréhension inférentielle et les comparons à celles de deux enseignantes expertes non formées (objectif 1). Puis, nous examinons l’influence de leurs pratiques de lecture à haute voix sur le développement de l’habileté à faire des inférences de leurs élèves (n=92) (objectif 2). Enfin, nous nous intéressons, à titre exploratoire, au potentiel de la recherche collaborative comme voie de développement professionnel des enseignants (objectif 3). Afin d’atteindre nos objectifs, nous avons observé les enseignantes à quatre reprises, lors de lectures d’albums de littérature de jeunesse. Les données obtenues à partir de ces pratiques observées ont été complétées par celles issues des pratiques déclarées des enseignantes pour toute la durée de la recherche (neuf semaines). De plus, nous avons évalué l’habileté à réaliser des inférences des élèves de ces six enseignantes à deux reprises, au début et à la fin de la recherche. Finalement, les enseignantes ont rempli deux questionnaires écrits sur l’impact de cette recherche sur leurs pratiques, l’un à la fin de la recherche et l’autre deux ans après celle-ci. Nos résultats indiquent que si toutes les enseignantes travaillaient les inférences, il existe cependant des différences notables dans leur façon de mener ce travail. Trois des enseignantes formées (enseignantes 1, 2 et 3) ont majoritairement privilégié la co-élaboration du sens des épisodes implicites et se sont montrées très efficaces pour soutenir leurs élèves dans ce travail de construction du sens. L’autre enseignante formée (enseignante 4), en raison d’une appropriation difficile du contenu de la formation, n’est pas parvenue à offrir à ses élèves un étayage adéquat, malgré ses nombreuses tentatives pour les amener à faire des inférences. Les enseignantes non formées (enseignantes 5 et 6) ont, quant à elles, misé plus fréquemment sur la transmission du sens des épisodes implicites et ont également soutenu moins efficacement leurs élèves dans l’élaboration du sens. Ces différences dans la façon de travailler les inférences se sont répercutées sur la progression des élèves entre le début et la fin de la recherche. Ceux des enseignantes 1, 2 et 3 obtiennent des résultats significativement supérieurs à ceux des trois autres enseignantes. Ainsi, il ne suffit pas de travailler les inférences lors des lectures à haute voix pour assurer la progression des élèves. D’autres facteurs revêtent aussi une grande importance : le choix d’oeuvres de qualité, l’engagement des élèves dans les discussions pour co-élaborer le sens et l’étayage adéquat de l’enseignant. Enfin, il semblerait que l’activité réflexive suscitée lors d’une participation à une recherche collaborative et le soutien offert par l’étudiante-chercheuse aient donné aux enseignantes la possibilité d’apporter des changements durables dans leurs pratiques. En ce sens, la recherche collaborative paraît être une voie prometteuse pour contribuer au développement professionnel des enseignants.

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Depuis quelques années, plusieurs didacticiens du français se penchent sur l’enseignement et l’évaluation de l’oral, mais peu d’informations sont encore disponibles concernant les pratiques effectives des enseignants à cet égard. Notre recherche vise à décrire les croyances de deux enseignants de français au secondaire et leurs pratiques au sujet de l’évaluation de l’oral, plus particulièrement de l’oral dans une situation d’interaction entre pairs. Une entrevue dirigée a permis d’avoir accès à leurs croyances et à leurs pratiques déclarées, alors que le think-aloud a été employé pour observer leur pratique d’évaluation, à l’étape du jugement, d’une situation d’interaction entre pairs. Nos résultats montrent que, du point de vue de leurs croyances, les enseignants ont tous deux des préoccupations concernant les tâches et les instruments d’évaluation, et que leurs pratiques d’évaluation déclarées sont assez semblables en ce qui a trait aux tâches retenues, à leur fréquence et à l’intention poursuivie. Du côté de leurs pratiques d’évaluation observées à l’étape du jugement, nous exposons de façon détaillée les gestes d’enseignants en situation authentique, en identifiant les principaux processus cognitifs et métacognitifs impliqués dans cette tâche complexe. Des divergences entre les deux enseignants ont été observées relativement à leurs croyances, pratiques déclarées et pratiques observées durant le jugement. Tout d’abord, les critères retenus pour l’évaluation (pratique déclarée) ne tiennent pas toujours compte de ce qu’ils croient important d’enseigner en classe (croyance). De plus, malgré une pratique déclarée positive concernant l’autoévaluation, ces enseignants n’y ont peu ou pas eu recours durant leur jugement. Enfin, les gestes de l’un, durant le jugement, tendaient vers la posture d’instructeur-contrôleur, alors que ceux de l’autre s’inscrivaient davantage dans la posture de conseiller-didacticien. De façon générale, nous constatons que les pratiques de ces enseignants sont plus influencées par les situations rencontrées en tant qu’élèves et les traditions d’enseignement de la discipline que par le programme en vigueur.

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Inúmeras pesquisas estão sendo desenvolvidas sobre a importância da formação continuada dos professores para a prática educativa, a fim de melhorar o entendimento sobre as variáveis necessárias para assegurar que os alunos possam obter o aprendizado almejado. Afirma-se ainda que a maioria desses estudos considere que o professor reflexivo possui melhores oportunidades de crescimento profissional e pedagógico, disponibilizando aos seus alunos melhores estratégias didáticas. Para tanto, o objetivo deste estudo é Analisar se a formação continuada de professores, aplicada pelo “Programa Escola que Vale”, tem contribuído para as mudanças das práticas docentes dos professores dos anos iniciais do ensino fundamental I, e como a formação continuada, desenvolvida por este Programa, tem contribuído para as mudanças das práticas docente dos professores dos anos iniciais. Assim, a metodologia deste estudo foi realizada através de uma pesquisa exploratória de caráter bibliográfica e uma pesquisa de campo com docentes, supervisores e orientadores do município de Ourilândia do Norte. Os resultados desta análise nos mostraram que a formação continuada de professores do Programa Escola que Vale, contribuiu muito propiciando melhorias ao desenvolvimento da ação pedagógica, que o profissional torna-se motivado para continuar aprendendo e melhorando sua ação docente, sobretudo utilizando de meios que possibilitam envolvimentos de toda comunidade educativa em prol de uma educação de qualidade.

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Background and purpose: The paper reports a study of the perceptions of teachers in secondary schools in the Gucha district of Kenya of their own effectiveness, the structure of their self-perceptions, variations in self-perceived effectiveness and the relationship between self-perceptions of effectiveness and the examination performance of their students. Design and methods: Data were based on questionnaires completed by 109 English and mathematics teachers from a random sample of 30 schools in the Gucha district of Kenya. Pupil examination results were also collected from the schools. Results: Three dimensions of self-perceived effectiveness emerged from a factor analysis. These were: pedagogic process, personal and affective aspects of teaching and effectiveness with regard to pupil performance. Teachers tended to rate themselves relatively highly with regard to the first two, process-oriented, dimensions but less highly on the third, outcome-oriented, dimension. Self-ratings for pupil outcomes correlated with pupil examination performance at school level. Conclusions: The results show that these teachers can have a sense of themselves as competent classroom performers and educational professionals without necessarily having a strong sense of efficacy with regard to pupil outcomes.

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Treating algebraic symbols as objects (eg. “‘a’ means ‘apple’”) is a means of introducing elementary simplification of algebra, but causes problems further on. This current school-based research included an examination of texts still in use in the mathematics department, and interviews with mathematics teachers, year 7 pupils and then year 10 pupils asking them how they would explain, “3a + 2a = 5a” to year 7 pupils. Results included the notion that the ‘algebra as object’ analogy can be found in textbooks in current usage, including those recently published. Teachers knew that they were not ‘supposed’ to use the analogy but not always clear why, nevertheless stating methods of teaching consistent with an‘algebra as object’ approach. Year 7 pupils did not explicitly refer to ‘algebra as object’, although some of their responses could be so interpreted. In the main, year 10 pupils used ‘algebra as object’ to explain simplification of algebra, with some complicated attempts to get round the limitations. Further research would look to establish whether the appearance of ‘algebra as object’ in pupils’ thinking between year 7 and 10 is consistent and, if so, where it arises. Implications also are for on-going teacher training with alternatives to introducing such simplification.

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Syftet med denna studie är att få kunskap om lärares syn på matematikläxor i grundskolans tidigare år. Förhoppningen var att få förståelse för lärares syfte med matematikläxor och vilka förmågor eleverna förväntas utveckla med matematikläxors hjälp samt att jämföra vilka för- och nackdelar matematikläxan har. För att undersöka detta har sju intervjuer gjorts med lärare från olika skolor och olika årskurser från 1-6. Samtliga lärare som intervjuats undervisar i matematik. Lärares erfarenheter av läxornas betydelse för matematikundervisningen är ett viktigt område att få kunskap om. De lärare som deltog i intervjuerna uttryckte olika synpunkter på matematikläxan. Något lärarna var överens om var att läxa är en skoluppgift som eleven tar med hem efter skolans slut och arbetar med hemma. Lärarna uttryckte samstämmigt att eleverna inte utvecklar några förmågor med matematikläxans hjälp utan förmågorna utvecklar eleverna i skolan med hjälp av lärarna. Det framgick att samtliga lärare upplevde att matematikläxan var tidskrävande och för att matematikläxan ska nå syftet på bästa möjliga sätt behövs mer tid. Att läxan kopplas till undervisning och uppföljning är centralt för att syftet med matematikläxan ska uppnås enligt de intervjuade lärarna. Av resultaten framgår att några lärare är negativt inställda till matematikläxor för att uppföljning och koppling till undervisningen inte finns med och därför förlorar matematikläxan sitt syfte. Föräldrarnas förutsättningar är väldigt olika som exempelvis att de har svårigheter med det svenska språket eller inte är engagerade i barnets skolgång. Andra lärare är positivt inställda till matematikläxor för att färdighetsträningen och repetitionen är viktig och tiden som behövs för det inte räcker till i skolan.

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In recent years, in Brazil, researches in the area of education have been focused on the study of the necessities of formation, by the practice of necessity analysis, to subside the continued teacher formation programs. This research on the necessity of the formation of literacy teachers in the initial years of primary education originated in our discussions in academia, regarding the issues of retention and evasion related to basic literacy teaching in Brazilian public schools. We defined as a goal: to know the necessities of the formation of literacy teachers from Odila Leite Municipal Elementary School, Natal/RN, which focuses on the literacy teaching on that level of education and in Adult and Youth Education. The object is the necessities in these teachers formation. The thesis is that the literacy teacher reveals/constructs formation necessities when speaking of her practice, when exerting said practice or even when producing teaching materials which subside that practice; in other words, when making the theoretical/practical relation related to literacy teaching. The approach is qualitative, according to which the natural environment is the source for data collection; the focus of interest is the process of knowledge construction, and fundamental importance is given to the meanings constructed by the subjects. We comprehended that necessity is a socially constructed subjective phenomenon, and that necessity analysis allows the revelation of formation objectives. We used the case study as a methodological strategy which permits: studying a well-defined entity, [ ] as well as an academic institution; the global comprehension of the phenomenon of interest; discovering what is most essential and characteristic in the object. We counted with 17 teachers, 3 of which had their teaching practices observed. We observed the school routine, analyzed the main class documents and plans and interviewed the 17 teachers. We triangulated the data obtained by the routine observation, the observation of the three teachers practices and by the document analysis, next, we triangulated this data with the data from the analyzing the interviews with the 17 teachers. Such procedures reveal formation necessities in those teachers , such as: studying child cognitive development; reviewing the concepts of literacy teaching; reviewing fundaments of written language psychogenesis; reflecting on reading practices and literature; reflecting on the practice of daily planning; reflecting on the school s material conditions and the family/school relation. We concluded that researches of this nature contribute to the orientation of teacher formation programs

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This study was conducted from a preliminary research to identify the conceptual and didactic approach to the logarithms given in the main textbooks adopted by the Mathematics teachers in state schools in the School of Natal, in Rio Grande do Norte. I carried out an historical investigation of the logarithms in order to reorient the math teacher to improve its educational approach this subject in the classroom. Based on the research approach I adopted a model of the log based on three concepts: the arithmetic, the geometric and algebraic-functional. The main objective of this work is to redirect the teacher for a broad and significant understanding of the content in order to overcome their difficulties in the classroom and thus realize an education that can reach the students learning. The investigative study indicated the possibility of addressing the logarithms in the classroom so transversalizante and interdisciplinary. In this regard, I point to some practical applications of this matter are fundamental in the study of natural phenomena as earthquakes, population growth, among others. These practical applications are connected, approximately, Basic Problematization Units (BPUs) to be used in the classroom. In closing, I offer some activities that helped teachers to understand and clarify the meaningful study of this topic in their teaching practice

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In this work we are disagreeing with the possibility of production and of the use of video-class for the disciplines of history of mathematics by the teachers of elementary e middle school as a way to contribute to the development of their classes. Our goal is to provide to the mathematics teachers the option of connecting social, scientific, cognitive, and didactic aspects of topics in math thoughts to their students. That shall be based in the presence of mathematics in the history of humanity. Thus, we consider possible that teachers and their students can link and relate mathematics to other sciences, education culture, and reflect about the many ways of represent them, as well as the patters of organization of nature and of culture. In this way, they shall be able to observe and interpret situations that involve mathematical questions associated to the various means of historic-epistemological studies already done by other researchers and scholars in the field of history of mathematics who works in creating video-classes. In addition to that, we can use all the available media in order to give edifying dynamics to the mathematical formulations established throughout history. In this sense, we are based and focused on the objectives, which are sustained by educational computer technology, techniques for video making, as well as mathematical teaching proposals and the historical inquiring made by Mendes (2001, 2009a, 2009b). The validating experimentation allowed us to conclude that the techniques we used in the production of the history of mathematics video-classes proved they to be valid ones. They are able to be executed with the minimum of technological resources. In addition, they have the same efficacy as far as classroom use

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O presente artigo faz um levantamento da bibliografia disponível acerca da formação de professores em cursos de licenciatura, iniciando com um tratamento hermenêutico ao termo formação, passando pela atual situação dos docentes no estado de São Paulo. Caracteriza a constituição das instituições formadoras e levanta aspectos convergentes em relação ao tratamento do tema na literatura. Finalmente são feitas considerações específicas sobre a formação dos professores em cursos de Licenciatura em Matemática.

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The so called Campaign for the Improvement and Diffusion of High School (in Portuguese, CADES) took place between 1953 and 1971, in Brazil. During this period, the Campaign published or helped publish dozens of books, in different teaching areas, and several of them were located by the authors of this article. These books guided high school teachers with respect to curriculum planning, legal aspects and methods of teaching. In this article, we contextualize historically this Campaign and also mention its objectives. We briefly describe some of the books found - especially those related to the teaching of mathematics - in order to open perspectives for future approaches and research that can be done based on this written material. Our main aim is to discuss its orientations and to provide ingredients that enable the construction of considerations related to this perspective of training mathematics teachers during a period when there were few colleges and universities to prepare teachers in Brazil.

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Este artigo apresenta uma pesquisa que é resultado de cursos online de formação continuada de professores, concebidos a partir de uma parceria entre a UNESP e uma rede nacional de escolas de Ensino Básico. Os cursos buscavam familiarizar os professores de Matemática com os recursos da tecnologia informática, especificamente dois softwares, o Geometricks e o Winplot, no que diz respeito à utilização destes na sala de aula. Após alguns anos da realização dos mesmos, na pesquisa aqui descrita, objetivamos identificar se e como os softwares foram incorporados à prática profissional, em um cenário em que os professores podem contar com laboratórios, formação continuada e suporte técnico. A partir de entrevistas online, pudemos mapear as diferentes escolhas dos professores: não-uso; uso de forma semelhante (ou não) à vivenciada no curso online, e o uso interdisciplinar, mostrando variadas formas pelas quais os professores retraduziram o curso para sua prática.