Trends in Brazilian academic production in the History of Mathematics Education: directions from EBRAPEM

The number of papers on History of Mathematics Education presented at EBRAPEM (Brazilian Meeting of Graduate Students in Mathematics Education) has increased significantly between 2003 and 2008. This article presents a study with the aim of identifying themes, periods in focus, and sources and theoretical and methodological references used by the authors of the papers on History of Mathematics Education published in the proceedings of VII, VIII, IX, X, XI and XII EBRAPEM. The study indicates that the approach of ongoing research in History of Mathematics Education in Brazil has been similar to the approach of research in History of Education in general. However, the institutional separation between these two areas of investigation is noted as a factor rendering communication between both groups of researchers difficult.

Experiencing Manipulative Material for the Teaching and Learning of Mathematics

This paper presents some outcomes from research based on classroom experiences. The main themes are the use of mirrors, kaleidoscopes, dynamic geometry software, and manipulative material considering their possibilities for the teaching and learning of Euclidean and non-Euclidean geometries.

Reflexões e observações sobre as novas diretrizes curriculares e a sua influência na formação inicial do professor na universidade

With reference to curricular changes proposed by the CNE Resolution 1 /2002 and CNE 2/2002 on Teacher Education in Basic Education teaching degree - this study aims to analyze the new professional profile proposed in curriculum pedagogy , Physical Education , Science Biology , Mathematics , Physics and Geography . Within the curriculum guidelines was observed in a more normative articulated curriculum, focused on action-reflection- action. A guided design in practical rationality and the skills set without breaking the commitment of the public university with emancipation and quality education . Although there is this understanding we must also attend to the care that must be given to the new guidelines , based on the same reveal great concern with vocational training , with its instrumentation , with the pragmatic and utilitarian dimension of the training process . It is noteworthy that throughout the twentieth century in Brazil , where he fought for educational policies that were to solidify the construction of teacher identity , but the gains have largely remained restricted to the issue of educational reforms and a roster of disciplines , called pedagogical varnish . Therefore, this work is to deepen this thematic perspective , studying the identity of the teacher in the new curriculum design presented by undergraduate courses . Therefore , the central objective seeks to understand how the identity of teacher ( professional profile ) was presented in the proposals for teacher training , as well as the different elements that make up this identity process . Specifically if you want to ( a) identify the proposals of courses for Teachers of Primary Education , UNESP / RC - Institute of Biosciences and Geosciences and Exact Sciences - Biological Sciences , Physical Education , Physics , Geography , Mathematics and Pedagogy - the proposed profile and ( b ) analyze the fundamental knowledge that this professional listing the elements...

Windows into Elementary Mathematics:Alternate public images of mathematics and mathematicians

Research on students’ (and teachers’) images of mathematics and mathematicians reveals a number of stereotypical images, most of which are negative. In this paper we present an overview of some these images and stereotypes and consider the questions: (1) how might the image of mathematics and mathematicians be a problem in mathematics education, and (2) what can be done to remedy the situation? Also, we consider an outreach project called Windows into Elementary Mathematics. In this project mathematicians are interviewed about their perspectives on elementary mathematics topics and their interviews are videotaped and are posted online, along with supporting images and interactive content. In this context we consider the questions: (3) what is the Windows project about, and (4) how might it offer an alternate (and perhaps better) image of mathematics and mathematicians? Lastly, we share an example where activities from the project were used in a math-for-teachers course.

Online distance mathematics education in Brazil: research, practice and policy

In this article, we address online distance mathematics education research and practice in Brazil, which are relative newcomers to the educational scene. We present the national context of education in Brazil, highlighting the organization of the educational system, and also a summary of national legislation on distance education and an overview of digital inclusion in the country. We outline the potential and relevance of distance education for the Brazilian educational system and show how it could intervene in the system. With respect to research and practice in online mathematics education, we present support for research, examples of studies and highlight different aspects being addressed, including its essential components. In addition, we discuss the synergy between distance education and teacher education, and mathematics distance education and modeling, as well as other initiatives in the national scenario.

Como é possível o conhecimento matemático: uma análise a partir da epistemologia genética

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

Oxidation of ethanol and its derivatives on well defined pt single crystal electrodes vicinal to pt(111): a comparative study

The oxidation of ethanol (EtOH) at Pt(111) electrodes is dominated by the 4e path leading to acetic acid. The inclusion of surface defects such as those present on stepped surfaces leads to an increase of the reactivity towards the most desirable 12e path leading to CO2 as final product. This path is also favored when the methyl group is more oxidized, as in the case of ethylene glycol (EG) that spontaneously decomposes to CO on Pt(111) electrodes, thus showing a more effective breaking of the C-C bond. Some trends in reactivity can be envisaged when other derivative molecules are compared at well-ordered electrodes. This strategy was used in the past, but the improvement in the electrode pretreatment and the overall information available on the subject suggest that relevant information is still missing.

Cônicas: Situações Didáticas para o ensino médio

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Husserl's two notions of completeness: husserl and hilbert on completeness and imaginary elements in mathematics

In this paper I discuss Husserl's solution of the problem of imaginary elements in mathematics as presented in the drafts for two lectures he gave in Göttingen in 1901 and other related texts of the same period, a problem that had occupied Husserl since the beginning of 1890, when he was planning a never published sequel to Philosophie der Arithmetik (1891). In order to solve the problem of imaginary entities Husserl introduced, independently of Hilbert, two notions of completeness (definiteness in Husserl's terminology) for a formal axiomatic system. I present and discuss these notions here, establishing also parallels between Husserl's and Hilbert's notions of completeness. © 2000 Kluwer Academic Publishers.

Um estudo sobre limites duais para o problema integrado de dimensionamento de lotes e sequenciamento da produção

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Banks Presbyterian Church History - Accession 195 - M87 (111)

The Banks Presbyterian Church History is a history written by Mrs. Lena P. Kell entitled “The Early History of Banks Presbyterian Church” describing the history of the church from 1870s to 1947. The church is located in Waxhaw, North Carolina near Fort Mill. (Photocopies)

Creating Meaningful Homework and Implementing Homework Presentations to Aid in Mathematics Instruction

In this action research study of sixth grade mathematics, I investigated the use of meaningful homework and the implementation of presentations and its effect on students’ comprehension of mathematical concepts. I collected data to determine whether the creating of meaningful homework and the implementation of homework presentations would have a positive impact on the students’ understanding of the concepts being taught in class and the reasoning behind assigning homework. The homework was based on the lesson taught during class time. It was grade-level appropriate and contained problems similar to those students completed in class. A pre-research and post-research survey based on homework perceptions and my teaching practices was given, student interviews were conducted throughout the research period, weekly teacher journals were kept that pertained to my teaching practices and the involvement of the students that particular week, and homework assignments were collected to gauge the students’ understanding of the mathematics lessons. Most students’ perceptions on homework were positive and most understood the reasoning for homework assignments.

Improving Communication about Mathematics through Vocabulary and Writing

In this action research study, where the subjects were my 6th grade mathematics students, I investigated the impact of direct vocabulary instruction on their communication and achievement. I strategically implemented the addition of vocabulary study into each lesson over a four-month time period. The students practiced using vocabulary in verbal discussions, review activities, and in mathematical problem explanations. I discovered that a majority of students improved their overall understanding of mathematical concepts based on an analysis of the data I collected. I also found that in general, students felt that knowing the definition of mathematical words was important and that it increased their achievement when they understood the words. In addition, students were more exact in their communication after receiving vocabulary instruction. As a result of this research, I plan to continue to implement vocabulary into daily lessons and keep vocabulary and communication as a focus of my 6th grade mathematics class.