Contribuição do origami para a exploração de conteúdos de geometria no ensino básico: propostas de tarefas

A arte de dobrar papel teve origem na China no século I ou II d.C., e difundiu-se pelo Japão no século VI. Esta arte milenar tem cativado a atenção dos estudiosos ao longo de séculos. Inicialmente ligada ao culto religioso, adoptada posteriormente pelos samurais como entretenimento, é hoje mundialmente aceite como uma arte. Transmitido de mães para filhas durante gerações, foi no século XIX, pela mão do pedagogo Frõebel, introduzido no currículo escolar alemão, sendo desde então considerado por muitos como um instrumento primordial na aquisição de conhecimentos, especialmente na área a geometria e por outros um elemento básico de interdisciplinaridade. Este trabalho pretende demonstrar as potencialidades do Origami como instrumento essencial nas diversas áreas curriculares, especialmente no estudo de conceitos matemáticos, nomeadamente no âmbito da geometria e a sua inclusão no currículo escolar. O uso do Origami na sala de aula inspira curiosidade e motiva a criatividade. ABSTRACT: The art of paper folding arose in China during the first or second century A.D. By the sixth century, it had spread to Japan. This millenary art got the scientific community's attention for centuries. At the beginning, folding was associated with a ceremonial act, later on it was use by Samurais as entertainment, and today it is accepted as an art by all. Transmitted from mothers to children during generations, it was introduced by Frõebel in the German curriculum and since then has been considered by some as an instrument for teaching basic geometry and by others as essential in interdisciplinary concepts. With this work we would like to show the Origami potentialities as an instrument connecting different curriculum areas, especially in mathematics, particularly in geometry and his inclusion in education curriculum. The use of Origami in the classroom helps children to obtain and consolidate basic concepts and inspire curiosity and promote their creativity.

Modelling heterogeneity of concrete using 2D lattice network for concrete fracture and comparison with AE study

In this paper, numerical modelling of fracture in concrete using two-dimensional lattice model is presented and also a few issues related to lattice modelling technique applicable to concrete fracture are reviewed. A comparison is made with acoustic emission (AE) events with the number of fractured elements. To implement the heterogeneity of the plain concrete, two methods namely, by generating grain structure of the concrete using Fuller's distribution and the concrete material properties are randomly distributed following Gaussian distribution are used. In the first method, the modelling of the concrete at meso level is carried out following the existing methods available in literature. The shape of the aggregates present in the concrete are assumed as perfect spheres and shape of the same in two-dimensional lattice network is circular. A three-point bend (TPB) specimen is tested in the experiment under crack mouth opening displacement (CMOD) control at a rate of 0.0004 mm/sec and the fracture process in the same TPB specimen is modelled using regular triangular 2D lattice network. Load versus crack mouth opening isplacement (CMOD) plots thus obtained by using both the methods are compared with experimental results. It was observed that the number of fractured elements increases near the peak load and beyond the peak load. That is once the crack starts to propagate. AE hits also increase rapidly beyond the peak load. It is compulsory here to mention that although the lattice modelling of concrete fracture used in this present study is very similar to those already available in literature, the present work brings out certain finer details which are not available explicitly in the earlier works.

Experimental study of dynamic compressive behaviour of concrete material reinforced with spiral steel fibres

It has been well demonstrated that the impact loading resistance capacity of the concrete material can be effectively increased by adding fibres. Recent studies proved that compared to other conventional steel fibres, using steel fibres with spiral shape further increases the post-failure energy absorption and crack stopping capacities of concrete because of the better bonds in the concrete matrix and larger deformation ability. The present study conducts high rate impact tests using split Hopkinson pressure bar (SHPB) to further investigate the dynamic compressive properties of spiral fibre reinforced concrete (SFRC). SFRC specimens with different volume fractions of fibres ranging from zero to 1.5% are prepared and tested. The influences of different volume fractions of fibres on strength, stress-strain relation and energy absorption of SFRC specimens under quasi-static and dynamic loadings are studied. In SHPB compression tests, the strain rate achieved ranges from 50 1/s to 200 1/s. Highspeed camera is used to capture the failure processes and failure modes of SFRC specimens with different fibre volume fractions during the tests for comparison. Dynamic stress-strain curves under different strain rates are derived. The energy absorption capacities of the tested specimens are obtained and compared. Strain rate effects on the compressive strength are also discussed. The corresponding empirical DIF (dynamic increase factor) relations for SFRC are proposed.

Organizational maintenance repair parts and special tools lists : drier-mixer, bituminous-concrete material, wheel mounted, GED, 2-wheel, pneumatic tires, 3 to 10 ton per hour NSN 3895-00-832-6230, K.E. McConnaughay MDL HTD-A-67.

Includes indexes.

Direct support and general support maintenance repair parts and special tools lists : drier-mixer, bituminous-concrete material, wheel mounted, GED, 2-wheel, pneumatic tires, 30 to 10 ton per hour NSN 3895-00-832-6230.

Includes indexes.

Operator, organizational, direct support, general support, and depot maintenance manual : drier-mixer, bituminous-concrete material, wheel mounted, GED, 2 wheel, pneumatic tires, 3 to 10 ton per hr, McConnaughay model HTD-A-67, FSN 3895-832-6230.

Includes index.

Unit, direct support, and general support maintenance repair parts and special tools lists : drier-mixer, bituminous, concrete material, wheel mounted, GED, 2-wheel, pneumatic tires, 3 to 10 tons per hour (NSN 3895-00-832-6230).

"June 1992."

Processing load and the use of concrete representations and strategies for solving linear equations

This paper is a report of students' responses to instruction which was based on the use of concrete representations to solve linear equations. The sample consisted of 21 Grade 8 students from a middle-class suburban state secondary school with a reputation for high academic standards and innovative mathematics teaching. The students were interviewed before and after instruction. Interviews and classroom interactions were observed and videotaped. A qualitative analysis of the responses revealed that students did not use the materials in solving problems. The increased processing load caused by concrete representations is hypothesised as a reason.

Negotiating indeterminacy in studio teaching: Using the zones of material and immaterial play to shape pedagogies and practices in art

The processes of studio-based teaching in visual art are often still tied to traditional models of discrete disciplines and largely immersed in skill-based learning. These approaches to training artists are also tied to an individual model of art practice that is clearly defined by the boundaries of those disciplines. This paper will explain how the open studio program at QUT can be broadly understood as an action research model of learning that ‘plays’ with the post-medium, post-studio genealogies and zones of contemporary art. This emphasises developing conceptual, contextual and formal skills as essential for engaging with and practicing in the often-indeterminate spatio-temporal sites of studio teaching. It will explore how this approach looks to Sutton-Smith’s observations on the role of play and Vygotsky’s zone of proximal development in early childhood learning as a way to develop strategies for promoting creative learning environments that are collaborative and self sustainable. Social, cultural, political and philosophical dialogues are examined as they relate to art practice with the aim of forming the shared interests, aims, and ambitions of graduating students into self initiated collectives or ARIs.

Microbial life and deposits in paper machine circuits

Väitöskirjani käsittele mikrobien ja erilaisten kemikaalien rooleja saostumien ja biofilmien muodostumisessa paperi- ja kartonkikoneilla. "Saostuma" tässä työssä tarkoittaa kiinteän aineen kertymää konepinnoille tai rajapinnoille konekierroissa, jotka on tarkoitettu massasulppujen, lietteiden, vesien tai ilman kuljetukseen. Saostumasta tulee "biofilmi" silloin kun sen oleellinen rakennekomponentti on mikrobisolut tai niiden tuotteet. Väitöstyöni työhypoteesina oli, että i. tietämys saostumien koostumuksesta, sekä ii. niiden rakenteesta, biologisista, fysikaalis-kemiallisista ja teknisistä ominaisuuksista ohjaavat tutkijaa löytämään ympäristöä säästäviä keinoja estää epätoivottujen saostumien muodostus tai purkaa jo muodostuneita saostumia. Selvittääkseni saostumien koostumista ja rakennetta käytin monia erilaisia analytiikan työkaluja, kuten elektronimikroskopiaa, konfokaali-laser mikroskopiaa (CLSM), energiadispersiivistä röntgenanalyysiä (EDX), pyrolyysi kaasukromatografiaa yhdistettynä massaspektrometriaan (Py-GCMS), joninvaihtokromatografiaa, kaasukromatografiaa ja mikrobiologisia analyysejä. Osallistuin aktiivisesti innovatiivisen, valon takaisinsirontaan perustuvan sensorin kehittämistyöhön, käytettäväksi biofilmin kasvun mittaukseen suoraan koneen vesikierroista ja säiliöistä. Työni osoitti, että monet paperinvalmistuksessa käytetyistä kemikaaleista reagoivat keskenään tuottaen orgaanisia tahmakerroksia konekiertojen teräspinnoille. Löysin myös kerrostumia, jotka valomikroskooppisessa tarkastelussa oli tulkittu mikrobeiksi, mutta jotka elektronimikroskopia paljasti alunasta syntyneiksi, alumiinihydroksidiksi joka saostui pH:ssa 6,8 kiertokuitua käyttävän koneen viiravesistä. Monet paperintekijät käyttävät vieläkin alunaa kiinnitysaineena vaikka prosessiolot ovat muuttuneet happamista neutraaleiksi. Sitä pidetään paperitekijän "aspiriinina", mutta väitöstutkimukseni osoitti sen riskit. Löysin myös orgaanisia saostumia, joiden alkuperä oli aineiden, kuten pihkan, saippuoituminen (kalsium saippuat) niin että muodostui tahmankasvua ylläpitävä alusta monilla paperi- ja kartonkikoneilla. Näin solumuodoiltaan Deinococcus geothermalista muistuttavia bakteereita kasvamassa lujasti teräskoepalojen pintaan kiinnittyneinä pesäkkeinä, kun koepaloja upotettiin paperikoneiden vesikiertoihin. Nämä deinokokkimaiset pesäkkeet voivat toimia jalustana, tarttumisalustana muiden mikrobien massoille, joka selittäisi miksi saostumat yleisesti sisältävät deinokokkeja pienenä, muttei koskaan pääasiallisena rakenneosana. Kun paperikoneiden käyttämien vesien (raakavedet, lämminvesi, biologisesti puhdistettu jätevesi) laatua tutkitaan, mittausmenetelmällä on suuri merkitys. Koepalan upotusmenetelmällä todettu biofilmikasvu ja viljelmenetelmällä mitattu bakteerisaastuneisuus korreloivat toisiinsa huonosti etenkin silloin kun likaantumisessa oli mukana rihmamaiseti kasvavia bakteereja. Huoli ympäristöstä on pakottanut paperi- ja kartonkikoneiden vesikiertojen sulkemiseen. Vesien kierrätys ja prosessivesien uudelleenkäyttö nostavat prosessilämpötilaa ja lisäävät koneella kiertävien kolloidisten ja liuenneiden aineiden määriä. Tutkin kiertovesien pitoisuuksia kolmessa eriasteisesti suljetussa tehtaassa, joiden päästöt olivat 0 m3, 0,5 m3 ja 4 m3 jätevettä tuotetonnia kohden, perustuen puhdistetun jäteveden uudelleen käyttöön. Nollapäästöisellä tehtaalla kiertovesiin kertyi paljon orgaanisesti sidottua hiiltä (> 10 g L-1), etenkin haihtuvina happoina (maito-, etikka-, propioni- ja voi-). Myös sulfaatteja, klorideja, natriumia ja kalsiumia kertyi paljon, > 1 g L-1 kutakin. Pääosa (>40%) kaikista bakteereista oli 16S rRNA geenisekvenssianalyysien tulosten perusteella sukua, joskin etäistä (< 96%) ainoastaan Enterococcus cecorum bakteerille. 4 m3 päästävältä tehtaalta löytyi lisäksi Bacillus thermoamylovorans ja Bacillus coagulans. Tehtaiden saostumat sisälsivät arkkeja suurina pitoisuuksina, ≥ 108 g-1, mutta tunnistukseen riittävää sekvenssisamanlaisuutta löytyi vain yhteen arkkisukuun, Methanothrix. Tutkimustulokset osoittivat että tehtaan vesikiertojen sulkeminen vähensi rajusti mikrobiston monimuotoisuutta, muttei estänyt liuenneen aineen ja kiintoaineen mineralisoitumista.

Material And Informational Synergy For Sustainable Prosperity

The quest for prosperity has been a central motive in the life of man from the moment of his entrance into the worldly scence. And certain, it is that the issue of prosperity at the very cost of his very existence has mounted in intensity and urgency with the unforeseen evolution of industrialization. The traditional paradigm of prosperity has been resting on the classical theory of production economics.With increasing empiricism it is obvious that the rational model fail to grapple with the complexity of the concept. The paper addresses the prosperity as an goal state resting on the conviction of harmony between present generation and generation of humans to come. Sustainable prosperity involves more than growth in services/goods. It requires a change in the content of the growth, to make it less material-and energy-intensive and more equitable in its impact. The process of economic prosperity must be more soundly based upon the realities of the stock of capital that sustains it.

Damage assessment of composite plate structures with material and measurement uncertainty

Composite materials are very useful in structural engineering particularly in weight sensitive applications. Two different test models of the same structure made from composite materials can display very different dynamic behavior due to large uncertainties associated with composite material properties. Also, composite structures can suffer from pre-existing imperfections like delaminations, voids or cracks during fabrication. In this paper, we show that modeling and material uncertainties in composite structures can cause considerable problein in damage assessment. A recently developed C-0 shear deformable locking free refined composite plate element is employed in the numerical simulations to alleviate modeling uncertainty. A qualitative estimate of the impact of modeling uncertainty on the damage detection problem is made. A robust Fuzzy Logic System (FLS) with sliding window defuzzifier is used for delamination damage detection in composite plate type structures. The FLS is designed using variations in modal frequencies due to randomness in material properties. Probabilistic analysis is performed using Monte Carlo Simulation (MCS) on a composite plate finite element model. It is demonstrated that the FLS shows excellent robustness in delamination detection at very high levels of randomness in input data. (C) 2016 Elsevier Ltd. All rights reserved.

The variation of water quality in the outdoor concrete tank and earthen pond

The paper reports on the study carried out at the Federal College of Freshwater Fisheries and Technology (Nigeria) and the Hatchery Complex in 1997. The physico-chemical parameters of an earthen fish pond and concrete tank were analysed. The abundance and distribution of phytoplankton and zooplankton were recorded. A total of eight species of phytoplankton were observed. These species can be classified as Chlorophyceae (green algae), Bacillariophyceae (diatom algae) and Cyanophyta (blue-green algae). Eight zooplankton species were observed in the pond and 6 in the tank. Moina was observed and recorded as the most abundant cladoceran species in the tank