Análise da viabilidade econômica de um sistema de aquecimento solar de água para uma empresa do setor hoteleiro

This paper presents an analysis of technical and financial feasibility of the use of a solar system for water heating in a fictitious hotel located in the Northeast region. Thereunto it is used techniques of solar collectors´ sizing and methods of financial mathematics, such as Net Present Value (NPV), Internal Rate of Return (IRR) and Payback. It will also be presented a sensitivity analysis to verify which are the factors that impact the viability of the solar heating. Comparative analysis will be used concerning three cities of distinct regions of Brazil: Curitiba, Belém and João Pessoa. The viability of using a solar heating system will be demonstrated to the whole Brazil, especially to the northeast region as it is the most viable for such an application of solar power because of its high levels of solar radiation. Among the cities examined for a future installation of solar heating systems for water heating in the hotel chain, João Pessoa was the one that has proved more viable.

Números complexos: uma proposta de mudança metodológica para uma aprendizagem significativa no ensino médio

This work presents a proposal of a methodological change to the teaching and learning of the complex numbers in the Secondary education. It is based on the inquiries and difficulties of students detected in the classrooms about the teaching of complex numbers and a questioning of the context of the mathematics teaching - that is the reason of the inquiry of this dissertation. In the searching for an efficient learning and placing the work as a research, it is presented a historical reflection of the evolution of the concept of complex numbers pointing out their more relevant focuses, such as: symbolic, numeric, geometrical and algebraic ones. Then, it shows the description of the ways of the research based on the methodology of the didactic engineering. This one is developed from the utilization of its four stages, where in the preliminary analysis stage, two data surveys are presented: the first one is concerning with the way of presenting the contents of the complex numbers in math textbooks, and the second one is concerning to the interview carried out with High school teachers who work with complex numbers in the practice of their professions. At first, in the analysis stage, it is presented the prepared and organized material to be used in the following stage. In the experimentation one, it is presented the carrying out process that was made with the second year High school students in the Centro Federal de Educação tecnológica do Rio Grande do Norte CEFET-RN. At the end, it presents, in the subsequent and validation stages, the revelation of the obtained results from the observations made in classrooms in the carrying out of the didactic sequence, the students talking and the data collection

Uma análise dos questionamentos dos alunos nas aulas de números complexos

This work presents a contribution for the studies reffering to the use of the History of Mathematics focusing on the improvement of the Teaching and Learning Process. It considers that the History of Matematics, as a way of giving meaning to the discipline and improve the quality of the Teaching and Learning Process. This research focuses on the questions of the students, classified in three categories of whys: the chronological, the logical and the pedagogical ones. Therefore, it is investigated the teaching of the Complex Numbers, from the questions of the students of the Centro Federal de Educação Tecnológica do Rio Grande do Norte (Educational Institution of Professional and Technology Education from Rio Grande do Norte). The work has the following goals: To classify and to analyse the questions of the students about the Complex Numbers in the classes of second grade of the High School, and to collate with the pointed categories used by Jones; To disccus what are the possible guidings that teachers of Mathematics can give to these questions; To present the resources needed to give support to the teacher in all things involving the History of Mathematics. Finally, to present a bibliographic research, trying to reveal supporting material to the teacher, with contents that articulate the Teaching of Mathematics with the History of Mathematics. It was found that the questionings of the pupils reffers more to the pedagogical whys, and the didatic books little contemplate other aspects of the history and little say about the sprouting and the evolution of methods of calculations used by us as well

Investigação histórica nas aulas de matemática: avaliação de duas experiências

This study reflects on some procedural aspects about the development of mathematics learning from the experience with investigative activities concerning the resolution of second degree equation, which was tested a proposal for education, supported the use of texts in history of mathematics. The survey was conducted in two stages, taking the first-served basis for the second, which was carried out with a study group remainder of the first experiment. The intention was to investigate how the group participant, known as the study group, involved in the implementation of activities of research in mathematics, supported the use of the history of mathematics. Based on the results achieved during the study, it was possible to understand that the activities of research enable the development of students, range of learning mathematics and the development of skills and expertise for research as a vehicle for construction of their mathematical knowledge. This approach proposed research into the classroom is important, both for prospective teachers of mathematics and for students from elementary school, bringing a new phase for mathematical education that will come to schools

Estudo histórico e pedagógico sobre ternos pitagóricos à luz de eugène bahier

At the present investigation had the purpose to achieve a descritive analysis pedagogy in the work of Recherche méthodique et propriétés des triangles rectangles en nombres entiers. According to the analysis achieved, we made and applyed the teaching module called Pitagories: one of tools to comprehension Pitagory Theorema, there were studying by public students in mathematic course in the UFRN , the new mathematic teachers in future. The analysis the was made with writen test the was showed that all students got the view comprehension in the teaching approach module, to apointed the difference in the learning qualytative with other reseach that was made with quastionaire and enterview. With this module that was made with the new future teacheres there was more attention the better comprehension with the Pitagory Theorema, that was good focus in the pitagory about the potential historical pedagogyc in the work studied.

Atribuição de significado ao conceito de proporcionalidade: contribuições da história da matemática

This study is the result of a work which approaches the Mathematics History how source of the meaning s attribution in the proportionality concept. We adopt the methodology of the source qualitative and we work with a group of teachers from instruction s public system of the fundamental and medium level from Pocinhos City Paraíba. For the data collection, we use the field notes, the questionnaire, a sequence of activities and the interview semistructured like instruments. The study had how objective to know the significates attributeds to proportionality concept through of the activity mediate from Mathematics History, besides to investigate if a approach of the nature enables modification according to this sense. The results obtaineds though the data analysis indicate that the activities bring contributions which refer to achieve objectives. On the other hand they also showed that we have a long trajectory to be trailed in the meaning of to turn the Mathematics History a subsidy effective in the teachers practice, in view of the formation absence in the knowledge area, besides the necessity of the approach adequated of the Mathematics History in the didatics books of Mathematic

Um estudo sobre o ensino-aprendizagem das demonstrações matemáticas

Demonstrations are fundamental instruments for Mathematics and, as such, are frequently used by mathematicians, math teachers and students. In fact, demonstrations are part of every Mathematics teaching environment, because Mathematics considers something true when it can be demonstrated. This is in contrast to other fields of knowledge that employ observation and experimentation to validate truth. This dissertation presents a study of the teaching and learning of demonstrations in Mathematics, describing a Teaching Module applied in a course on the Theory of Numbers offered by the Mathematics Department of the Universidade Federal do Rio Grande do Norte for mathematics majors. The objective of the dissertation was to propose and test a Teaching Module that can serve as a model for teaching demonstrations. The Teaching Module consisted of the following five steps: the application of a survey to determine the students‟ profiles and their previous knowledge of mathematical language and techniques of demonstration; the analysis of a series of dialogues containing arguments in everyday language; the investigation and analysis of the structure of some important techniques of demonstration; a written assessment; and, finally, an interview to further verify the principal results of the Teaching Module. The analysis of the data obtained though the classroom activities, written assessments and interviews led to the conclusion that there was a significant amount of assimilation of the issue at the level of relational understanding, (SKEMP, 1980). These instruments verified that the students attained considerable improvement in their use of mathematical language and of the techniques of demonstration presented. Thus, the evidence supports the conclusion that the proposed Teaching Module is an effective means for the teaching/learning of mathematical demonstration and, as such, provides a methodological guide which may lay the foundations for a new approach to this important subject

Ensino de matemática pelo rádio (1950 1970): uma história falada e um documentário didático

This study aimed to describe and analyze aspects of the historical course of teaching Mathematics by Radio Experiences in Rio Grande do Norte, between the decades from 1950 to 1970 in order to organize a documentary (CD-ROM) containing information about Mathematics studied by Radio who have experienced it. In this, we use qualitative research. We seek support in the theoretical framework of cultural history and memory researchers as Certeau (1998), Chartier (1990), Le Goff (2008), Thompson (2002) and Peter Burke (2004). Moreover, we take the elements of oral history. We focus on the teaching of literacy and the primary of the Radio schools in two rural communities - Logradouro and Catolé - who are currently part of the city of Lagoa Salgada (RN) and, with respect to the Junior High School, we stopped in the Course of Madureza at Radio. We used as written sources, especially the documents found in the General Archives of the Archdiocese of Natal (RN) and the employees assigned by the participants of the survey. Our sources come from the oral testimonies of pupils and monitors Lagoa Salgada City, teachers, broadcasters and technicians of Rural Support Service (SAR) Natal (RN). In this study, we identify the geometry Cubação social practices of Lagoa Salgada students. Also identified in the research material, the Global Method with the pedagogy of Paulo Freire, that guided the production of lessons in literacy and primary courses. Content in Mathematics, we find traces of the trend-Empirical activist. In the course of Madureza, there was a tendency formal technique Fiorentini (1995). Finally, as a result of this study, organize and present a documentary (CD-ROM), along with the analysis of this study, containing the history of Mathematics teaching by Radio, from the speech of those who experienced Radio, emphasizing the methodology teaching developed in class, that serves as a reference material for students, professors and researchers.

Recorte dos produtos educacionais em história no ensino da matemática e em didática da matemática a partir das dissertações e teses defendidas no brasil entre 1990-2010

This work has the main purpose of conducting a survey of educational products present in dissertations and doctoral theses focused on the use of history in mathematics teaching and Didactics of mathematics with a French foundation produced in graduate programs in the strict sense of the Brazil between 1990 and 2010, the areas of Education, Mathematics Education, school of Natural Sciences and Mathematics and related areas, according to the research proposal of Mendes (2010). Our interest was to select the products that present concrete proposals for educational activities that can be used in the classroom of Basic Education and Training of Teachers of Mathematics. The research was implemented through a bibliographic study documents the Bank of dissertations and theses from CAPES, libraries and archives of some Postgraduate programs in the country who focus their studies on the subject object of this research, besides the Brazilian Digital Library Theses and Dissertations (BDBTD). From this survey we selected works that present educational products materialized in blocks of activities based on the use of teaching history of mathematics to the classroom as well as the sequence of activities based on the Teaching of Mathematics. In possession of material, produce a CD-ROM containing the selected activities, in order to help support the work of teachers regarding the use of these activities, as a supplementary material to textbooks in their math classes

Matemática Védica no ensino das quatro operações

This paper describes a study on the possibilities of teaching Vedic Mathematics for teaching the four operations. For this various literature sources were consulted considering three main aspects. The first of a historical-cultural, in order to gather information about the Mathematics originated from Vedic civilization, which highlight (Plofker, 2009), (Joseph, 1996), (Bishop, 1999), (Katz, 1998), (Almeida , 2009). This sought to emphasize relationships of the development of this culture with the math involved in the book Vedic Mathematics written by Tirthaji and published in 1965. In this respect the work brings notes on the history of mathematics on the development of mathematics in ancient India. The second aspect was related to teaching mathematics through research activities in the classroom, in this sense, I sought a bibliography to assist in the construction of a proposed activity to teach the four operations, based on the sutras of Vedic Mathematics, but within an investigative approach, assisting in the development of mental calculation strongly stimulated by the Vedic Mathematics Sutras. The authors were adopted (Mendes, 2006, 2009a, 2009b), Bridge (2003). The third aspect considered to search for books on teaching Vedic Mathematics, written by other authors, based on the book by Tirthaji. This revealed Vedic Mathematics textbooks adopted in schools and free courses in the UK, USA and India, all based on the book Vedic Mathematics of Tirthaji. From the bibliographical studies were prepared didactic guidelines and suggested activities for the teacher, to assist in teaching the four operations. The educational product, consisting of Chapters 4 and 5, is the body of the dissertation and consists of didactic guidelines and suggestions for activities that aim to contribute to the teachers who teach initial years of elementary school

O comportamento pró-social de crianças com sintomatologia do transtorno da conduta

Pro-social behaviors are seen regularly throughout our daily lives, as we often witness people giving alms, helping a neighbor move, donating blood, or taking care of a friend's children, among others. From an evolutionary perspective, such behaviors occur because they have a high adaptive value to our species, precisely due to our high degree of dependence on group living for survival. Probably, for this same reason, since children have shown a preference for prosocial behaviors over antisocial behaviors, this preference becomes more visible as we grow. However, children with symptoms of conduct disorder show a pattern of aggressive, impulsive and more selfish behaviors than children without such symptoms. Furthermore, these children also experience environments in which antisocial behaviors are more frequent and intense compared to the general population. Priming experiments are one way of measuring the influence of simple environmental cues on our behavior. For example, driving faster when listening to music, religious people help more on religious elements, like the bible, and children are more cooperative after playing games of an educational nature. Thus, the objectives of the current study were to: evaluate whether there is any difference in generosity, through sharing behavior, among children with and without symptoms of conduct disorder; analyze the influence of prosocial priming on sharing behavior on children with and without symptoms of conduct disorder; and finally, analyze from an evolutionary perspective, the reasons given by children with and without symptoms of conduct disorder for sharing or not sharing with their best friend in a classroom environment. To address this question, the teachers of these children were asked to respond to an inventory that was designed to signal the presence or absence of symptoms of conduct disorder. Children identified as having or not having symptoms of conduct disorder could then undergo an experimental (with priming) or control (no priming) condition. Under the experimental condition, the children were asked to watch two short videos showing scenes of helping and sharing among peers, to perform a distraction activity, and finally to chose two of four different materials presented by the researcher and decide how much of these two materials they would like to share with their best friend in the classroom. Then the children were asked about their reasons for sharing or not sharing. Children subjected to the control condition performed the same activities as in the xi experimental condition, but did not watch the video first. The results showed a notable difference in the effect of priming in accordance with the child's stage of development; a difference in the amount of material donated to a best friend by children with and without symptoms of conduct disorder, and a change in this observed difference with the influence of pro-social priming; and finally, a convergence in the thinking of children regarding their reasons for sharing with evolutionary theory. The results of this study also indicate the importance of individual factors, developmental stage, environmental and evolutionary conditions in the pro-social behavior of children with and without symptoms of conduct disorder.

O eterno retorno como paródia e como colagem na filosofia da diferença de Gilles Deleuze

Gilles Deleuze hás commented on many philosophers, but his relationship with Nietzsche plays a singular role in his thought: appropriating the concept of the “eternal return” to think the central axis of his thesis, Difference and repetition (1968). Terms “difference” and “repetition” appeared associated to eternal return in his Nietzsche and philosophy (1962). Our dissertation thesis analyzes the presentations of that concept in bothworks. Chapter one presents the style construction and critical, methodological aspects of Nietzschean philosophy, fundamental elements to understand Deleuze’s interpretation. It subsequently analyzes the first presentation of that concept, expressed in the following terms: the aesthetic existence, either innocent or justified from the figure of game. We will see how the image of game implies another concept of chance, that leads Deleuze to think of an affirmative philosophical “type”, capable of creating new values. Chapter two evaluates the existential, “ethical-selective”, “physicalcosmological” character of the concept of eternal return, as much as the difficulties it imposes upon Nietzsche’s interpreter. We present afterwards Deleuzian comprehension of eternal return as a “parody” or a “simulacrum of doctrine”. Chapter three analyzes that interpretive position as a transvaluation of values from a rearrange of perspectives in order to overcome the negative comprehensions of existence. We want to question the way Deleuze builds another image of thought from the concept of eternal return – an image that, by a sort of “colagem” and selective elimination of the negativity, proposes a historiographic work and unfolds a lineage of thinkers of immanence and difference, a detour from the thought of identity, the same and the similar. We want thus to understand Deleuze’s critique of “dogmatic image of thought”.

O eterno retorno como paródia e como colagem na filosofia da diferença de Gilles Deleuze

Gilles Deleuze hás commented on many philosophers, but his relationship with Nietzsche plays a singular role in his thought: appropriating the concept of the “eternal return” to think the central axis of his thesis, Difference and repetition (1968). Terms “difference” and “repetition” appeared associated to eternal return in his Nietzsche and philosophy (1962). Our dissertation thesis analyzes the presentations of that concept in bothworks. Chapter one presents the style construction and critical, methodological aspects of Nietzschean philosophy, fundamental elements to understand Deleuze’s interpretation. It subsequently analyzes the first presentation of that concept, expressed in the following terms: the aesthetic existence, either innocent or justified from the figure of game. We will see how the image of game implies another concept of chance, that leads Deleuze to think of an affirmative philosophical “type”, capable of creating new values. Chapter two evaluates the existential, “ethical-selective”, “physicalcosmological” character of the concept of eternal return, as much as the difficulties it imposes upon Nietzsche’s interpreter. We present afterwards Deleuzian comprehension of eternal return as a “parody” or a “simulacrum of doctrine”. Chapter three analyzes that interpretive position as a transvaluation of values from a rearrange of perspectives in order to overcome the negative comprehensions of existence. We want to question the way Deleuze builds another image of thought from the concept of eternal return – an image that, by a sort of “colagem” and selective elimination of the negativity, proposes a historiographic work and unfolds a lineage of thinkers of immanence and difference, a detour from the thought of identity, the same and the similar. We want thus to understand Deleuze’s critique of “dogmatic image of thought”.

Sequências de Fibonacci e a Razão Áurea - aplicações no ensino básico

This thesis aims to present a study of the Fibonacci sequence, initiated from a simple problem of rabbits breeding and the Golden Ratio, which originated from a geometrical construction, for applications in basic education. The main idea of the thesis is to present historical records of the occurrence of these concepts in nature and science and their influence on social, cultural and scientific environments. Also, it will be presented the identification and the characterization of the basic properties of these concepts and howthe connection between them occurs,and mainly, their intriguing consequences. It is also shown some activities emphasizing geometric constructions, links to other mathematics areas, curiosities related to these concepts and the analysis of questions present in vestibular (SAT-Scholastic Aptitude Test) and Enem(national high school Exam) in order to show the importance of these themes in basic education, constituting an excellent opportunity to awaken the students to new points of view in the field of science and life, from the presented subject and to promote new ways of thinking mathematics as a transformative science of society.