GeoPlexo: um material manipulável para o ensino dos números complexos

This study aims to develop a manipulative material to assist the teaching and learning of Complex Numbers. Primarily, It tries to define the status of the current teaching of Complex Numbers, having as guide the bias of the research produced in dissertations and published on the website of Capes and the Virtual Library of Profmat from 2004 to 2014. It presents historical aspects of the theme, a mathematical foundation and a discussion of the use of manipulative materials as teaching resources for the teaching of mathematics. It introduces the manipulative material called GeoPlexo and a sequence of activities of potentiation and settling of complex numbers, explaining its use. It concludes with the importance of manipulative materials as a teaching resource for the teaching of Complex Numbers, especially regarding the geometric visualization of this mathematical object.

Internacionalização da educação superior: estratégias e ações da Universidade Tecnológica Federal do Paraná

The present dissertation is inserted in the internationalization of the university-level education research field and aimed to analyze the strategies and internationalization actions of the Universidade Tecnológica Federal do Paraná (UTFPR), locus of research. The study sought to establish the current context in which the internationalization is inserted and contextualize the research problematic presenting definitions, concepts, reasons and strategies linked to an international dimension. It also presents a historical context of the internationalization of Brazil and current public policies related to this topic. This research used content analysis to analyze institutional documents (Institutional Development Plans (2004-2017) and Management Reports (2000-2014)); semi-structured interviews (Director of International Relations, Coordinator of programs and actions related to the mobility of students, Head of the Department of Education and Dean of Research and Graduate Studies); information pertaining to the theme from the university’s website and events held in the Campus of the institution. Data were analyzed using the procedures prescribed for this type of analysis with the establishment of three categories: concepts, strategies and actions. Based on the foregoing, in terms of synthesis, could be understood that increasing the participation of UTFPR on the international scene has always been linked to the institution’s policies and goals, yet without an political institutional plan without objectives, strategies and goals established systematically. In the case of the conception of the internationalization of UTFPR it was realized that the theme currently gained more focus and greater coverage in the institution. In this context, Ciência Sem Fronteiras program contributed to, giving greater visibility to UTFPR on the world stage. From then on, specific strategies and actions are being developed in seeking internationalization under institutional perspective, of the servers, the expansion of mobility, and greater visibility of the institution in the international arena, regional integration and promotion of internationalization at the university. Overall, the management of internationalization in the institution does not have a formal project, but has specific strategies and actions seeking their expansion. Thus, the process of internationalization in UTFPR presents itself in an early stage, with strategies and actions seeking to expand the international dimension in the institution who takes singular importance to its expansion and consolidation.

Desenvolvimento e caracterização de micropartículas de amido reticuladas com agente fosfatado e avaliação da adsorção do azul de metileno

Starch has properties that make it one of the most studied biopolymers today. It is biodegradable, biocompatible, stable and non-toxic. This work has synthesis of starch and tapioca microparticles, through chemical modification by crosslinking with sodium tripolyphosphate agent in concentrations 7.5 and 15% (m / m). The amylose content was measured for starch and commercial cassava starch at 21.8% and 28.6%, respectively. According to the solubility index, processing in basic medium does not change the solubility of the material, but the addition of crosslinking agent increases this index, which changed from 12.8% for the control unprocessed, to 22.4% for the A5R15 sample. Soluble starch-based materials had a significant increase in the crosslinking density by increasing the concentration of crosslinker, from 1.4 in A5R7,5 sample, to 1.9 in A5R15. The cassava starch-based materials exhibited an opposite behavior: to increase the concentration of crosslinker crosslinking density decreased significantly in F5R7.5 from 2.9, to 1.9 in F5R15 sample. The point of zero charge (PZC) shows that below pH 4 the surface is positively charged. The surface area data is between 3,04 and 1,15 m2.g-1. The pore volume between 2.94 and 1.33 cm3.g-1 and pore size around 1.5 nm. The SEM indicates uneven distribution of microparticles, which are smooth, with no ridges. The maximum adsorption capacity of the materials were tested at pH 7.7 and for A5R15 and CA sample, at pH 2, 5, 6 and 9. It is noted that the processing in basic medium reduces the adsorption capacity of CA and CF in respect fo A and F. The adsorption in A5R15 sample has great dependency on the pH, reaching a value of 587 μg.g-1 in pH 7.7. The samples A5R15 and F5R7,5 adsorbed similar amounts, according to the statistical analysis, and significantly higher than their respective controls and showed lower desorption, indicating that the modification process was effective to control the release of methylene blue. The infrared spectra not show the characteristic bands of the phosphate bonds to the material formed, however, developments in hydroxyl characteristic band suggest modification in the way this group was linked after the reaction. After adsorption, the infrared spectra show different format in the band of hydroxyl. PCA analysis shows that the greatest changes observed in the IR spectra are observed in the region of 3500 cm-1. Thermal analysis showed three thermal events related to dehydration and material degradation. It is observed that the processing increases the temperature to the first mass loss, fixed at 12%, but not observed increased stability due to the presence of crosslinker or process.