75 resultados para mathematical content knowledge


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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Pós-graduação em Geografia - IGCE

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Working with adult students who attend literacy rooms has been set a challenge for educators, especially with regard to issues of learning mathematics. This work of course completion intention was to investigate the process of construction of arithmetic operations in mathematics from the perspective of the students themselves. Thus specific objectives were to investigate how these students face simple operations that can do this automatically on a daily basis, but not always systematized in the classroom; how these students think and communicate their ideas to the mental operation of the paper record. To this end we chose a qualitative research approach with characteristics of case study, conducted in a room of Youth and Adult participants with three ladies. The data collection occurred through the application of a semi-structured, audio recorded and later transcribed, which issues the verbalization sought and a description of how to give students the learning process of some mathematical content. The results showed that students bring with them skills, cultures and values to the classroom and that these are the basis for understanding the content. The teacher of adult education must take into consideration everything that the student brings to the classroom, their experiences, their history and culture, thus questioning the real world, so they can understand math in a way closer to their daily lives

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The objective of this research is to understand whether the mathematics lessons teachers use ICT and how they see their use. For this, we prepared a questionnaire with four questions for the subjects of our research, which are ex - students of Bachelor in Mathematics FEG / UNESP, in exercise of the profession. The questionnaire data were analyzed following the procedures of phenomenological research. This approach enabled us to draw up three open categories. The first Recourse to boost student learning and school, leads us to interpret that for the interviewees, ICT resources are leading students to do research making them responsible for their learning and providing them with conditions respond the issues raised by the teacher, which generates greater interactivity. The second, Possibility to use software related to mathematical content shows that the subject sees ICT as resources that allow the study of mathematical content, especially geometry and functions, so that student learning is leverage. The third, Obstacles to the use of technology in the classroom shows that even if the subjects recognize the importance of ICT use, they do not use it as often as they would like because of the difficulties that are related to infrastructure and didactic and pedagogical conditions

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The present research aims to identify conceptions that teachers and students of the early years have in relation to the disciplines of history and geography. The site chosen for the survey was a municipal school in the city of Lençóis Paulista, in São Paulo. The work's theme was chosen after observing a minimization of the teaching of the contents of the above-mentioned disciplines at the expense of mathematical content and mother tongue. In addition, there were difficulties arising from the standardization of education , such as teaching network uses material apostilled . The survey data , together with literature review was conducted with students and teachers in the early years who participated in a semistructured interview . Authors like Callai (1999 and 2005), Cavalcanti (2005 and 1998) and Burke (1992) theoretically supports the research . They have in common a new conception of education that values the small deeds that result in major events. The student, in this view, plays an important role as a subject of social transformation. The research has favored both the analysis of the conceptions of teachers and students, assisting in reflection on teaching practices, but also led to reflect on the training of teachers. The research shows us that the type of material used and the practice adopted may impair the access of students to the language of nature and society

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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This research presents a study on mathematics teacher education, examining the bibliographic production in 15 years of the journal Zetetiké (1993-2007), totalizing 140 papers. From these, 49 were classified as ‘teacher formation’, thus constituting the corpus of the investigation. The research focused on three units of recording and analysis: (i) problems of research; (ii) the meanings of ‘being a teacher’ and their ‘duties’; and (iii) the meanings of ‘teacher’s education’. For the processes of categorization we use Textual Analysis, which allowed us to observe some trends. Regarding the problems of research we found that the research actions involve a range from: to report, disclose, describe, identify up to study, discuss, understand, evaluate. With reference to ‘being teacher’ and its ‘duties’ in the whole period of this study it were pointed problems related to the mathematical content and to the pedagogical project of the school unit, with 30 papers giving prescriptions for the teachers actions in its educational context. With regard to the meanings on teacher education, the most frequent references concern: the functions of teacher formation; what is expected of the teacher during and after the education processes; and the emphasis on the importance of initial formation for mathematics teacher’s education.

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This research deals with the discussion about Physics teachers’ undergraduate education and professional performance related to the knowledge acquired during this initial education. More specifically, we try to answer questions like: How do future teachers evaluate the knowledge acquired during their initial education as in terms of specific knowledge as pedagogical knowledge? What are their formative needs and future expectatives about professional performance and the school teaching environment? Data was constituted from a sample of 26 future high school physics teachers, one semester long, that were taking the supervised curricular training in a undergraduate Physics education program (called Licenciatura in Brazil), in São Paulo State public university. Besides the final report of this training, future teachers were asked to answer a questionnaire aiming to take their conceptions about their initial education program, their formative needs, future professional expectatives and high school teaching environment. According to the future teachers, the program they were about to finish was satisfactory in terms of Physics specific contents; however, about the pedagogical content knowledge and the pedagogical practice, they showed to be unsatisfied and insecure. The majority of the questionnaire responses demonstrated that they feel lack of teaching experience. Moreover, teachers emphasize other factors related to the future professional performance: possible difficulties to deal with students’ indiscipline, schools’ bad physical structure, limited number of Physics classes in high school level, lack of didactical laboratories and also they seem to be frightened that the expertise teachers do not be collaborative with the new ones. In this sense, the research outcomes shows the necessity of discussions about questions involving teachers knowledge, related to either, the Physics conceptual domain and the pedagogical one, since it matters directly to future teachers professional performance. Discussions in this sense can also help evaluation and restructuration of programs designed to initial and continuous teachers’ education.

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The complex analysis is, in actuality, a fundamental mathematical object, given its applicability to various areas of science. This paper proposes a more interesting intertwining of mathematical content to the Visual Arts, through computer graphics. The presentation of aesthetic standards, using the “domain coloring” for viewing a complex function, shows that algebraic and geometric properties can be “colored” which makes its study more human, contextualized, pleasant and dynamic, leading to greater ability to understand, to absorb and to create concepts. This work shows the contribution to the interdisciplinarity to study of mathematics.

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To understand how teachers deal with curriculum change proposals, and how their professional knowledge are involved in this process, is critical in order to understand the impact of these changes in pedagogical practice. From L. S. Shulman’s typology of teacher knowledge, we aimed to describe and interpret how a Physical Education teacher deals with the pedagogical content knowledge when developing a theme from Curriculum Proposal of Physical Education from the State of São Paulo (PPC-EF). A case study was conducted with the use of semi-structured interviews and classroom observation. The teacher made adjustments at the approach and activities suggested by the PPC-PE, mobilizing several teacher knowledge, and her autonomy was not removed. On the other hand, difficulties in relating “theory” and “practice” indicate the need for construction of pedagogical content knowledge to better direct the learning of students to the critical appropriation of movement culture.