Educação matemática: pesquisas e possibilidades

This book presents a current overview of themes that entangle research in Mathematics Education, which were produced in conjunction with professors who act in the Mathematics Education field at PPGECM (Science and Mathematics Post-graduation Program), that counts with professors from many universities, especially UFPR (Paraná's Federal University), UTFPR (Paraná's Technological Federal University) and UDESC (Santa Catarina's Federal University).The set of texts brings some areas of interest, studies that are in development and research that have been completed. It is expected that the chapters present the program, aspects of its production, interests and theoretical/methodological relations, contributing to the strengthening of Mathematics Education as a research field and familiarization and deepening of the topics discussed.

O falar paranaense

This book didactically addresses relevant issues for researchers in the linguistic field as well as professors, journalists and whoever else is interested in understating the so called “paranaense dialect”. It is relevant to clarify, however, that there is not one single dialect from Parana as the state has three distinctive dialectal areas. That means the traditional speech from the state corresponds to its historical settlement. The first area dates back to the XVIII century in the center-south-coast direction; the second area dates from the 1920´s and 1930´s matching the arrival of immigrants from Rio Grande do Sul and Santa Catarina in the search for new territories, clearing forestry regions from the Southwest and Western regions in Parana, turning them into harvesting areas. The third linguistic area corresponds to the North and Northwest of Parana, which were colonized in the 1940´s and 1950´s by immigrants from Minas Gerais and São Paulo who came to grow coffee plants in its rich red land. Such dialectal diversity constitutes only a small fraction of what is understood as the Brazilian Portuguese. So, having it described means to collaborate to map the great linguistic mosaic that characterizes the whole Brazilian territory. We then seek to offer readers a small sample of the analyses carried out by researchers concerning the different performances of the Portuguese spoken in Parana (Banco VARSUL, ALERS, Atlas Linguístico do Paraná, Banco VARLINFE). We expect these findings encourage new approaches and Linguistic studies from other regions of the state.

Aproveitamento de subprodutos da indústria de carne suína: caracterização físico-química do queijo de porco

Headcheese is a meat sausage originated from Europe made from hog slaughter by-products. It is a much appreciated product in the South of Brazil which is increasingly established in the market, however it does not have official regulations yet. This study aimed to present the physicochemical characterization of headcheese in a western Santa Catarina industry supervised by Companhia Integrada de Desenvolvimento Agrícola de Santa Catarina and assess 10 different brands to find the relationship between chemical composition and texture profile analysis (TPA). Thus, the chemical composition, energy value, total nitrite, lipid oxidation and physical parameters (color and texture) were evaluated. The product exhibited great variability in moisture content, lipid and protein because the different formulations, processing and intrinsic and extrinsic characteristics of raw material. The utilization of offal provided higher cholesterol and iron levels, and the high content of collagen was accountable for the shear force responses (7.84 ± 1.68 N). The product showed higher amount of sodium, due to the use of additives, but calcium levels were compatible with other sausages. There was a predominance of polyunsaturated fatty acids and polyunsaturated fatty acids/saturated fatty acids ratio was more favorable than other sausage in the same category. Nitrite assured preservation effects and thus lower product levels of oxidation were observed. The high Water Activity and pH 6.5 showed that the product is susceptible to growth of pathogens and requires cooling for preservation. Its brownish occurred due to cooking and production of metmyoglobin. There was a strong positive correlation between collagen and attributes of TPA, especially for chewiness (r = 0.855). The use of Hierarchical Cluster Analysis and Principal Component Analysis were able to separate three groups based on the amount of collagen and texture attributes, especially hardness, gumminess and chewiness.

Macrofauna epígea de besouros coprófilos em sistema de integração lavoura-pecuária

The soil macrofauna (organisms ≥ 2.0 mm) main function is to act indirectly on the decomposition of organic matter and control the population of microorganisms. This study aims to evaluate the density and richness of coprphilic dung beetles at different levels of nitrogen fertilization and grazing pressure on Crop-Livestock Integration System (ILP) and his opposition to morphotypes present in the native forests of the region. Was used a rural area in Abelardo Luz city, western state of Santa Catarina, on the border of southwest of Paraná, 26° 31' 18.8832" south latitude and 52° 15' 3.4986' west longitude and elevation 862 m for the installation of the experiment, which is already carried out the activity of agriculture and livestock. The study is part of the Integrated Project of Long Duration GISPA UTFPR Group, which evaluates the grazing pressure and time of fertilization deployed in April 2013. The experimental design was a randomized complete block design in a 2x2 factorial arrangement with three replications. The factors were "Nitrogen Application" (NP = N in the pasture and NG = N applied in corn) and "Height Grazing" (high and low). The native forest, which provided the parameters for assessing the degree of conservation, lies 700 meters northeast of the experimental area. Modified pitfall traps were used at ground level, on the bait trap and covered together to prevent dehydration. They were carried out 36 collections in bushland, within one year from 26 April 2013, in which we obtained a total of 16,301 individuals and 28 morphotypes. In ILP area specimens were collected from June to September 2014, totaling 23 collections, 74,586 individuals and 30 morphotypes. To carry out the statistics and faunal analysis, GENES programs were used, ANAFAU, NTIA/EMBRAPA and SigmaPlot version 12.5. Most of the correlations observed (90%) between the variables of insects and environmental conditions was significant. The largest number of insects was directly related to the temperature rise. There was a positive correlation between the application of nitrogen and the occurrence of coprophilous. There was a positive correlation between the number of insects and low grazing height. It was also found that some of the insects migrate from the culture to the area of native forest after reaching their peak population. The great similarity of results observed in the native forest and the ILP System indicates the ecological benefits of adopting this technology.

Avaliação inorgânica de material particulado atmosférico inalável na região norte do Paraná

This study aimed to determine the concentration and inorganic chemical composition of samples from airborne particulate matter inhaled in fine and coarse fractions. Aerosol samples were collected in 2013 and 2014, from sites located in the cities of Londrina and Maringa, in the state of Paraná, Brazil. The samples were collected daily (24h) in two campaigns: winter and summer. For the collection, was used a dichotomous sampler with quartz fiber filter with 47 mm in size and 2 µm porosity, 97% efficiency, retaining particles of up to 0.3 µm. Quantification of the airborne particulate matter mass was performed by gravimetry method. The results from Londrina to PM2.5 and MP2,5-10 represent, respectively, 29.2% and 70.8% of airborne particulate matter in the winter campaign (2013), 30.9% (PM2.5) and 69.1 % (MP2,5-10) in the summer campaign (2013), and 35.9% (PM2.5) and 64.1% (MP2,5-10) in the winter 2014 campaign. In the city of Maringa, the results presented the percentage of 42.0% (PM2.5) and 58.0% (MP2,5-10) for the winter season (2014), and 28.8% (PM2.5) and 71.2 % (MP2,5-10) for the summer season (2014). The PM2.5/PM10 ratio was on average 0.3, demonstrating that both cities are developing urban areas. Analysis of the major soluble inorganic species in water (NO3-, SO42- and Cl-) associated with MP2,5-10 were quantified by ion chromatography at the LACA Laboratory in the State University of Londrina, with the largest contribution found in all campaigns was to NO3-. The NO3-/SO42- ratios above 1.0 indicate the local traffic contribution. The analysis of metals associated with PM2.5 was carried out by mass spectrometry with inductively coupled plasma (ICP-MS) in the Federal University of Santa Catarina. The Zn, Pb, Cu and Mn concentrations found in all campaigns indicate the contribution of mobile sources to PM2.5. The concentration of BCe in PM2.5 was determined by reflectance, with higher BCe concentrations being found in winter campaigns. In general, Londrina presented the highest concentrations from the species analyzed when compared to Maringá. In addition, the analysis of the air mass trajectories indicated the transportation of pollutants coming mainly from fires in the southeastern region of the country.

Construções geométricas como recurso pedagógico no ensino médio

This work aims to provide high school students an development in his mathematical and geometrical knowledge, through the use of Geometric Constructions as a teaching resource in Mathematics classes. First a literature search to understand how it emerged and evolved the field of geometry was carried out and the Geometric Constructions. The ways in which the teaching of geometry happened in our country, also were studied some theories related to learning and in particular the Van Hiele theory which deals with the geometric learning also through the literature search were diagnosed. Two forms of the Geometric Constructions approach are analyzed in class: through the design of hand tools - ruler and compass - and through the computational tool - geometric software - being that we chose to approach using the ruler and compass instruments. It is proposed a workshop with nine Geometric Construction activities which was applied with a group of 3rd year of high school, the Escola de Educac¸ ˜ao B´asica Professor Anacleto Damiani in the city of Abelardo Luz, Santa Catarina. Each workshop activity includes the following topics: Activity Goals, Activity Sheet, Steps of Construction Activity Background and activity of the solution. After application of the workshop, the data were analyzed through content analysis according to three categories: Drawing Instruments, angles and their implications and Parallel and its Implications. Was observed that most of the students managed to achieve the research objectives, and had an development in their mathematical and geometrical knowledge, which can be perceived through the analysis of questionnaires administered to students, audio recordings, observations made during the workshop and especially through the improvement of the students in the development of the proposed activities.

Cultivo artesanal do cogumelo Shiitake: uma potencial atividade para agroecossistemas sustentáveis

Edible mushroom cultivation has been gaining ground in the agricultural environment throughout the country, creating a new product option in the food market. This activity is linked to cultural and artisanal management with environmentally sustainable principles and generates income for small farms. In this context, the present study evaluated the potential for artisanal cultivation of Shiitake as an activity for sustainable agroecosystems. Initially, the historic of implementation and evolution of artisanal cultivation of Shiitake mushroom on properties considered models in Pato Branco, Guarapuava and São José dos Pinhais (Paraná) and Frei Rogerio, (Santa Catarina) were carried out. Consequently, a comparative analysis between the cultivation systems of these properties and the use of small wooded areas and reforested areas was conducted. Aspects of production, income and pluralism of the farms, were also performed. At the end, the nutritional quality parameters of mushrooms produced in different properties were evaluated. The results show economic potential in Shiitake production. The activity also has potential for the sustainable exploitation of native forest and reforested areas, contributing to the optimal use of physical space small properties. In artisanal cultivation of Shiitake there is a systemic interaction verified by the use of wood from the same farm, assisting in the renewal of biomass of the agroecosystem. Finally, it was found that mushrooms produced on different substrates used in the studied properties have high nutritional quality. Shiitake samples exhibited high contents of protein, fiber, minerals and low fat content.

Capital social e ações conjuntas: um estudo de caso no arranjo produtivo local de vinhos de altitude catarinense

The general goal of this study was to analyze the relations between the agents’ social capital and joint actions developed by the Cluster of wine produced at the high altitudes of Santa Catarina. This group is made up of 43 agents: one governing agent, 26 support agents and 16 winemakers. This descriptive and exploratory study uses data from qualitative and quantitative approaches. During the exploratory phase, a documental analysis was carried out, as well as semi-structured interviews. The data collection tool used to gather information concerning the social capital and joint actions was the semi-structured questionnaire, and this data gathering was conducted through field research using a structured interview with the selected agents from November 16 to November 26, 2015. The results of this study show a good social capital, which reflects on the joint actions done by the agents. Among the variables of social capital, trust shows a great level among the Cluster agents, followed by good levels concerning commitment and involvement, information share, rules and sanctions, horizontality and authority and improvement. As a result, it has created a nice level of involvement and effectiveness of joint actions, highlighting events organization, joint participation at fairs and events, marketing campaigns, development of products and processes, and human resources improvement. There is a small group of agents who show a strong social capital and a proper environment to expand this capital throughout the network. However, the evaluation concerning reciprocity and density represents only one third of the possibilities of this group, and it happens especially because of the geographical distance between the agents who are part of the Cluster. The main limitation of this study was the trouble trying to map the whole agent group before applying the questionnaires and identifying the responsible people in each of the support agents to inform everything correctly. It is suggested that these questionnaires be carried out with other Clusters as well as in the future in order to have a temporal assessment of this study.

O processo de organização social do Grupo Herança Viva de Chapecó-SC e suas estratégias de ação conjunta

The consequences resulting from economic modernization model generated social and environmental imbalances, resulting in the exclusion and social isolation, perceived consequences in the agricultural sector. When studying social organizations, tends to see how they keep their forward cooperation processes all a company incorporated by the appreciation of individualism and competition. The overall objective for this research was to analyze the organizational dynamics of Agroecology Group Heritage Viva Chapecó, Santa Catarina, in order to identify the strengths and threats and collaborate in this way for preparation of action strategies for sustainability. The selected group is based on the principles of agroecology for the conduct of their agricultural production systems, avoiding the use of agrochemicals, proven through the use of participatory certification seal Ecovida Network, and the products sold mainly in street fairs in the city of chapecó. To fulfill such a proposal were consulted the minutes of meetings and questionnaires with farmers to assess the dynamics of cooperation among its members, through the understanding of their social capital and social network analysis (SNA). To extend the study of the group and its members was adopted methodological approach of action research where activities were developed to identify strengths and weaknesses and contribute to its organizational restructuring, resulting in the construction, carried out by farmers, the guiding principles of the Living Heritage Group will contribute to the decision-making and strengthen their identity. The survey also brought the group is inserted in the Social Transition Agroecology therefore change the current paradigm is not inserted only in the alternative model of production, but in the form of organization of social actors and their role in the marketing process of their products, in discussing the scenario of food supply chains.

Dinâmicas sócioeconômicas na prática dos feirantes agricultores familiares de Chapecó-SC

This thesis deals with the insertion of family farmers market that act as market traders in the city of Chapecó, state of Santa Catarina. In order to trust, reciprocity and relations of time and space dynamics present in the practice of open-air market is analyzed. From understanding the outdoor market as an extension of the activities of farms, a form of local construction market, we need new ways to evaluate the inclusion of family farming in trade. In this regard, the importance of local markets characterized by autonomy in the food hegemonic system. To this end, it uses what the peculiarities present in the practice of street fairs, its historical development, the number of farmers who act as market participants, the number of traders in the city and its surroundings, the diversity of products offered, the marketing channel access by traders and market relations farmers who act as market participants. Finally, based on the responses of suppliers and content analysis, it was possible to show how present in the social dynamics of free trade: the trusted face to face representations, reciprocity and relations of time and space between the co-present agents in the market dynamics of family farmers fair. For the study context, these representations show how important non-economic values that help build identities that relate to the strategies of social reproduction and overcoming dominant market model.

Validação de metodologia analítica por CLAE-DAD para determinação de compostos fenólicos e atividade biológica em coprodutos agroindustriais

The southern region of Brazil, especially the states of Parana and Santa Catarina stand out for growing grapes and apples for fresh consumption and in order to add value to these products, process the material for the production of wine, juices and jellies . As a result large quantities of by-products, such as peels, seeds and pulp are produced becoming environmental problems. Studies reuse of these by-products have attracted interest because they have shown a high biological potential, due to the presence of high levels of phenolic compounds, which are associated with a lower incidence of disease caused by oxidative stress, due to its antioxidant, antiinflammatory and antibacterial properties. Currently, few studies are presented on the phenolic composition and biological potential of waste grape variety Bordô (Vitis labrusca) and apple (Malus domestica) Gala variety, cultivated in southern Brazil. Within this context, the objectives of this study were: compare the efficiency of solidliquid and liquid-liquid extraction, perform the optimization and validation of analytical methodology by HPLC-DAD for the separation, identification and quantification of multiclass phenolic compounds, evaluate the activity antioxidant by sequestering methods of free radical 2,2-diphenyl-1 picrilhidrazina (DPPH) and 2,2-azino-bis (3- ethyl-benzthiazoline-6-sulphonic acid) (ABTS) solution, reduction of Fe3+ in Fe2+ method (FRAP), ORAC, RP-HPLC-ABTS online, Rancimat and determination of total phenolics three agro-industrial byproducts, pomace and stems grape Bordô produced in Paraná Southwest region and Gala apple pomace coming from the Santa Catarina West. Optimization and validation of chromatographic method showed satisfactory quality parameters for the compounds of interest and the solidliquid extraction was more efficient in extracting phenolic evaluated. The three byproducts evaluated showed significant levels of phenolic compounds when analyzed by HPLC, especially flavonoids, catechin and epicatechin besides that showed significant antioxidant capacity. The grape stems extract had the highest sequestration capacity of DPPH and ABTS radical and reduced iron, and high content of phenolic compounds. The apple pomace extract showed the best response to the Rancimat method, which indicates a high potential to protect the oil from lipid oxidation, was no significant difference when compared to synthetic antioxidant TBHQ. The results of this study showed that the agro-industrial coproducts analyzed are rich in phenolic compounds of high antioxidant capacity and therefore must be better explored by the food and pharmaceutical industries.

A altura de dossel e a adubação nitrogenada da pastagem podem afetar a nutrição nitrogenada do milho, num sistema de integração lavoura pecuária?

We conducted a field experiment near Abelardo Luz, Santa Catarina, from October 2012 to April 2014, to evaluate the effect interaction of nitrogen fertilization and height of canopy over the N nutrition of corn subsequently grown to pasture. The data belonging to this thesis are related to the first two production cycles obtained in sorghum pasture (2012/2013), oat (2013) and corn crop (2013/2014). In the evaluation of forage sorghum and oat it was used the same experimental design, consisting of randomized complete block in a factorial arrangement (2 x 2) with three replications. The first factor was considered canopy height (Low and High) and the second factor was the fertilization of cover crop pasture (0 and 200 kg N.ha-1). In phase I and II, the combination of factors evaluators were prepared in the same experimental unit. For corn crop the design was a randomized complete block in a factorial design (2X2X4X6) with three replications. Factors considered in corn were: canopy height of pasture (Low and High), nitrogen application times (NG - nitrogen in the grains and NP - nitrogen in pasture), nitrogen fertilization in corn (0, 100, 200 and 300 kg N.ha-1) and time (46, 53, 60, 67, 76 and 103 days after sowing the maize). In phases I and II, in general the use of N in the pasture increased the productive potential of the pasture and animal management and canopy height has changed the dynamics of structural components and botanical pasture. In cold conditions for long periods and not acclimatized plants the adoption of high nitrogen fertilization and height high grazing pasture leave vulnerable to damage caused by the freezing of plants. The anticipation of nitrogen fertilization on pasture positively affects the corn crop by increasing the accumulated dry matter and N content in the plant. Nitrogen nutritional content of corn with the anticipation of fertilization in pasture is suitable for obtaining high crop production in integrated crop-livestock system. When used nitrogen only coverage in corn sufficiency level in the nitrogen nutrition is achieved with the use of 100 kg N.ha-1. With the use of 200 kg N ha -1 NG and NP no difference in nitrogen content and nitrogen nutrition index.

Proposta de um modelo de gestão de custos para pequenas propriedades rurais familiares com foco na tomada de decisão

This work was general-purpose, develop a proposal of a theoretical model of decisionmaking with a focus on management of small family farms costs, which enables support for decision making. And the following objectives: i) develop a structured methodology, which allows to form a literary basis to provide scientific support for the implementation of research; ii) develop based on the literature the dimensions and variables of the necessary models to propose an application and iii tooling) to implement the proposed model within the dimensions and variables, and validate every stage background and perform the necessary conclusions to verify the effectiveness of applied model. In terms of methodology, we used a structured methodology, which allowed forming a bibliographic portfolio of 29 articles, and through the research constructs developed, based on an existing model, an activity segmentation model for aid farmer of small family farms in the decision-making process with emphasis on cost management. The model was applied in six family farms in the South West region of Parana and Santa Catarina West. With regard to the search results, it was identified that the model can be applied to the specific context for which it was created. It was also possible to identify that the proposed model was valid and relevant to aid in the management of family farms by identifying, through the targeting of productive activities, investment priorities guided by the balance between managing costs and return activities. Moreover, possible to target the activities of six surveyed properties, demonstrating that the property 02, has the shape of more complex segmentation should be divided into three groups of activities, which can be conducted in parallel without any restrictions between activities. Other properties have the segmentation of the simplest activities, allowing viewing in this way that there are activities of groups that require prioritizing investments. Specifically the property 01 and 04 have the highest priority investment target groups, the most prominent activities of groups representing respectively 49.32% and 47.40%, which are represented by grain production activities on the property 01 and grain production, beef cattle and eggs on the property 04.