879 resultados para Teacher of mathematics


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Herein, we have investigated the solubilization of decane into a novel nonionic gemini surfactant, myristoyl-end capped Jeffamine, synthesized from a polyoxyalkyleneamine (ED900). Starting from this system, porous silica materials have been prepared. Performing the hydrothermal treatment at low temperature, a slight increase of the mesopore diameter is observed in the presence of decane. Increasing the temperature of the hydrothermal treatment, no swelling effect of decane is detected. By contrast, the pore diameter decreases but better mesopore homogeneity and a larger wall thickness are obtained. At high decane concentration the new myristoyl-end capped Jeffamine/decane/water system forms oil-in-water emulsions, which are used as template for the formation of hierarchical porous silica materials.

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The conversion of glycerol in supercritical water (SCW) was studied at 510-550 °C and a pressure of 350 bars using both a bed of inert and non-porous ZrO2 particles (hydrothermal experiments), and a bed of a 1% Ru/ZrO2 catalyst. Experiments were conducted with a glycerol concentration of 5 wt% in a continuous isothermal fixed-bed reactor at a residence time between 2 and 10 s. Hydrothermolysis of glycerol formed water-soluble products such as acetaldehyde, acetic acid, hydroxyacetone and acrolein, and gases like H2, CO and CO2. The catalyst enhanced the formation of acetic acid, inhibited the formation of acrolein, and promoted gasification of the glycerol decomposition products. Hydrogen and carbon oxides were the main gases produced in the catalytic experiments, with minor amounts of methane and ethylene. Complete glycerol conversion was achieved at a residence time of 8.5 s at 510 °C, and at around 5 s at 550 °C with the 1 wt% Ru/ZrO2 catalyst. The catalyst was not active enough to achieve complete gasification since high yields of primary products like acetic acid and acetaldehyde were still present. Carbon balances were between 80 and 60% in the catalytic experiments, decreasing continuously as the residence time was increased. This was attributed partially to the formation of methanol and acetaldehyde, which were not recovered and analyzed efficiently in our set-up, but also to the formation of carbon deposits. Carbon deposition was not observed on the catalyst particles but on the surface of the inert zirconia particles, especially at high residence time. This was related to the higher concentration of acetic acid and other acidic species in the catalytic experiments, which may polymerize to form tar-like carbon precursors. Because of carbon deposition, hydrogen yields were significantly lower than expected; for instance at 550 °C the hydrogen yield potential was only 50% of the stoichiometric value.

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Fuzzy subsets and fuzzy subgroups are basic concepts in fuzzy mathematics. We shall concentrate on fuzzy subgroups dealing with some of their algebraic, topological and complex analytical properties. Explorations are theoretical belonging to pure mathematics. One of our ideas is to show how widely fuzzy subgroups can be used in mathematics, which brings out the wealth of this concept. In complex analysis we focus on Möbius transformations, combining them with fuzzy subgroups in the algebraic and topological sense. We also survey MV spaces with or without a link to fuzzy subgroups. Spectral space is known in MV algebra. We are interested in its topological properties in MV-semilinear space. Later on, we shall study MV algebras in connection with Riemann surfaces. In fact, the Riemann surface as a concept belongs to complex analysis. On the other hand, Möbius transformations form a part of the theory of Riemann surfaces. In general, this work gives a good understanding how it is possible to fit together different fields of mathematics.

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Long-period orbital forcing is a crucial component of the major global climate shifts during the Cenozoic as revealed in marine pelagic records. A complementary regional perspective of climate change can be assessed from internally drained lake basins, which are directly affected by insolation and precipitation balance. The Ebro Basin in northeastern Iberia embraces a 20 Myr long continuous sedimentary record where recurrent expansions and retractions of the central lacustrine system suggest periodic shifts of water balance due to orbital oscillations. In order to test climatic (orbital) forcing a key-piece of the basin, the Los Monegros lacustrine system, has been analyzed in detail. The cyclostratigraphic analysis points to orbital eccentricity as pacemaker of short to long-term lacustrine sequences, and reveals a correlation of maxima of the 100-kyr, 400-kyr and 2.4-Myr eccentricity cycles with periods of lake expansion. A magnetostratigraphy-based chronostratigraphy of the complete continental record allows further assessing long-period orbital forcing at basin scale, a view that challenges alternate scenarios where the stratigraphic architecture in foreland systems is preferably associated to tectonic processes. We conclude that while the location of lacustrine depocenters reacted to the long-term tectonic-driven accommodation changes, shorter wavelenght oscillations of lake environments, still million-year scale, claims for a dominance of orbital forcing. We suggest a decoupling between (tectonic) supply-driven clastic sequences fed from basin margins and (climatic) base level-driven lacustrine sequences in active settings with medium to large sediment transfer systems.

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In this article we try to look at the learning of mathematics through games in the first years of schooling. The use of game resources in the class should not be carried out in a uniquely intuitive way but rather in a manner that contains some preliminary reflections such as, what do we understand by games? Why use games as a resource in the Mathematics classroom? And what does its use imply?

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This thesis investigated the question, "What nourishes the adolescent spirit in the classroom?" Action research was conducted by the teacher of 16 grade 8 participants. By undergoing Kessler's (2000) "Passages Program," the students participated in 6 sessions which exposed them to a holistic intrapersonal curriculum. Student journal responses were documented after each session. The action researcher also kept journal reflections after each session. Upon completion of the 6 sessions, a postinterview was conducted which posed the research question. The research found that the adolescent spirit gets nourished through encouragement by the teacher, peers, and parents. This increases their competency, which increases their confidence, and ultimately their self-esteem goes up, which affects their selfconcept. In addition, the role of the teacher permeates every aspect of what nourishes the adolescent spirit in the classroom. In addition to the encouragement of the student, how a teacher teaches plays a vital role. A holistic approach to teaching provided the best atmosphere for the adolescent. It promoted creativity and choice, which stimulated the spirit of the adolescent. By working from a holistic philosophy, the teacher/action researcher created an environment conducive to teaching the whole person, which ultimately nourished the participants' spirit. The research highlighted that in order for this type of environment to exist the teacher needs to make a conscious and deliberate effort to look within and develop their inner self before they can begin to promote this type of classroom for the adolescents they teach. When teachers and students develop an inner life together, they can begin to work in harmony to achieve an atmosphere where the teaching and learning environment becomes one seamless transaction. Only then can one's whole potential be realized.

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The strength and nature of the video game practice effect on tests of visual and perceptual skills were examined using high functioning Grades Four and Five students who had been tested with the WISC-R .for the purpose of gifted identification and placement. The control group, who did not own and .play video games on a sustained basis, and the experimental group, who did own a video game system and had some mastery of video games, including the -Nintendo game, "Tetris", were each composed of 18 juniorg:r;-ade students and were chosen from pre-existing conditions. The experimental group corresponded to the control group in terms of age, sex, and community. Data on the Verbal and Performance I.Q. Scores were· collected for both groups and the author was interested in the difference between the Verbal and Performance Scores within each group, anticipating a P > V outcome for the experimental group. The results showed a significant P > V difference in the experimental, video game playing group, as expected, but no significant difference between the Performance $cores of the control and experimental groups. The results, thus, indicated lower Verbal I.Q. Scores in the experimental group relat'ive to 'the control group.' The study conclu~ed that information about a sUbject's video game experience and "learhing style pref~rence is important for a clear interpretation of the Verbal and Performance I.Q. Scores of the WISC-R. Although the time spent on video game play may, 'indeed, increase P~rformance Scores relative to Verbal Scores for an individual, the possibilities exist that the time borrowed and spent away from language based activities may retard verbal growth and/or that the cognitive style associated with some Performance I.Q.subtests may have a negative effect on the approach to the tasks on the Verbal I.Q. Scale. The study also discussed the possibility that exposure to ,the video game experience, in pre-puberty, can provide spatial instruction which will result in improved spatial skills. strong spatial skills have been linked to improved performance and preference in mathematics, science, and engineering and it was suggested that appropriate video game play might be a way to involve girls more in the fields of mathematics and science.

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The Women's Literary Club of St. Catharines was founded in 1892 by a local author, Emma Harvey (Mrs. J.G.) Currie (1829-1913) and held its last official meeting on February 19, 1994. The Club developed, flourished and eventually waned. After more than one hundred successful years, the last members deposited the Club's archives at Brock University for the benefit of researchers, scholars and the larger community. The ‘object of the Club’ was established as “the promotion of literary pursuits.” The Club was a non-profit social organization composed of predominantly white, upper middle class women from the St. Catharines and surrounding areas. Club meetings were traditionally held fortnightly from March to December each year. The last meeting of the year was a celebration of their Club anniversary. The early meetings of the Club include papers presented and music performed by Club members. The literary pursuits that would dominate the agendas for the entire life of the Club reflected an interest in selected authors, national and local history, classical history, musical performances and current cultural and newsworthy events. For example in 1893 a typical meeting agendas would contain papers on Henry Wadsworth Longfellow, Hawaii, Brook Farm, Miss Louisa May Alcott and “Education of Women 100 years Ago.” Within the first year of the Club’s existence, detailed minute books became the norm and an annual agenda or program developed. The WLC collection contains a near complete set of meeting minutes from 1892 until 1995 and a comprehensive collection of yearly programs from 1983-1967 which members took great care to publish each year. Mrs. Currie brought together a group of women with a shared interest in literature and history, who wanted to pursue that interest in a formal and structured manner. She was well educated and influenced at an early age by her tutor and mentor William Kirby, local historian, writer and newspaper editor from Niagara-on-the-Lake. While Currie’s private education influenced her love of literature and history, the Club movement of the 1890’s offered a more public forum for her to share knowledge and learning with other women. Mrs. Currie was the wife of St. Catharines lawyer, James G. Currie, who also served as a Member of Parliament for the county of Lincoln. Mrs. W.H. McClive, who was also married to a St. Catharines lawyer, worked closely with Currie and they began research into the possibility of a literary Club in St. Catharines. Currie corresponded with a variety of literary Clubs across North America before she and Mrs.McClive tagged onto the momentum of the Club movement and published “A Clarion call for Women of St. Catharines To Form a Literary Club” in the local paper The St. Catharines Evening Journal. in 1892 and asked like Clubs to publish the news of their new Club. The early years of the WLC set the foundation of how the Club meetings and events would unfold for the next 80 plus years. Photos and minutes from the first ten years reveal an excitement and interest in organized Club outings. One particular event, an annual pilgrimage to the homestead of Laura Secord, became a yearly celebration for the Club. Club President, Mrs. Currie’s own personal work on Laura Secord amplified the Club’s interest in the ‘heroine of 1812’ and she allocated the profits from her publication on Secord in order to create a commemorative plaque/monument in the name of Laura Secord. The Club celebrated this event with a regular pilgrimage to this site. The connection felt by Club members and this memorial would continue until the Club’s last meetings. The majority of members in the early years were of the upper middle classes in the growing city of St. Catharines. Many of the charter members were the wives of merchants, business men, lawyers, doctors, even a hatter. Furthermore, the position of president was most often held by a woman with a comprehensive list of interests. This is particularly the case in Isabel Brighty McComb (1876-1941). Brighty who became a member in 1903, became Club president in 1932 and stayed in her post until her death in 1941. Similar to Mrs. Currie, Brighty was a local historian and published 2 booklets on local history. Her obituary indicates her position in the community as an author and involved community member committed to lifetime memberships in the Imperial Order of Daughters of Empire, I.O.D.E., the National Organization of Women, N.O.W. and the United Empire Loyalist Society, as well as the WLC. She was a locally known ‘teacher of elocution’ and a devoted researcher of Upper Canadian history. In a Club scrapbook dedicated to her, the biographical sketch illustrates the professionalism surrounding Brighty. There is very little personal history mentioned and the focus is on her literary works, her published essay, booklets and poetry. This professional focus, evident in both her obituary and the scrapbook, illustrate the diversity of these women, especially in their roles outside of the home. The WLC collection contains a vast array of essay, lectures clippings and scrapbooks from past meetings. Organized predominantly by topic or author, the folders and scrapbooks offer a substantial amount of research opportunity in the literary history of Canada. The dates, scope of topics and authors covered offer historians an exciting opportunity to examine the consumption of particular literary trends, artists and topics within the context of a midsized industrial city in English Canada. This is especially important because the agenda adhered to by the Club was bent on promoting, discussing and reviewing predominantly Canadian material. By connecting when and what these women were studying, scholars many gain a better understanding of the broader consumption and appreciation of literary and social trends of Canadian women outside of publishing and institutional records. Furthermore, because the agendas were set by and for these women, outside of the constructs of an institutionalized canon or agenda, they offer a fresh and on the ground examination of literary consumption over an extensive length of time.

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This work consists of a theoretical part and an experimental one. The first part provides a simple treatment of the celebrated von Neumann minimax theorem as formulated by Nikaid6 and Sion. It also discusses its relationships with fundamental theorems of convex analysis. The second part is about externality in sponsored search auctions. It shows that in these auctions, advertisers have externality effects on each other which influence their bidding behavior. It proposes Hal R.Varian model and shows how adding externality to this model will affect its properties. In order to have a better understanding of the interaction among advertisers in on-line auctions, it studies the structure of the Google advertisements networ.k and shows that it is a small-world scale-free network.

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One of the most important problems in the theory of cellular automata (CA) is determining the proportion of cells in a specific state after a given number of time iterations. We approach this problem using patterns in preimage sets - that is, the set of blocks which iterate to the desired output. This allows us to construct a response curve - a relationship between the proportion of cells in state 1 after niterations as a function of the initial proportion. We derive response curve formulae for many two-dimensional deterministic CA rules with L-neighbourhood. For all remaining rules, we find experimental response curves. We also use preimage sets to classify surjective rules. In the last part of the thesis, we consider a special class of one-dimensional probabilistic CA rules. We find response surface formula for these rules and experimental response surfaces for all remaining rules.

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The conjecture claiming that every planar graph is acyclic 5-choosable[Borodin et al., 2002] has been verified for several restricted classes of planargraphs. Recently, O. V. Borodin and A. O. Ivanova, [Journal of Graph Theory,68(2), October 2011, 169-176], have shown that a planar graph is acyclically 5-choosable if it does not contain an i-cycle adjacent to a j-cycle, where 3<=j<=5 if i=3 and 4<=j<=6 if i=4. We improve the above mentioned result and prove that every planar graph without an i-cycle adjacent to a j-cycle with3<=j<=5 if i=3 and 4<=j<=5 if i=4 is acyclically 5-choosable.

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According to the List Colouring Conjecture, if G is a multigraph then χ' (G)=χl' (G) . In this thesis, we discuss a relaxed version of this conjecture that every simple graph G is edge-(∆ + 1)-choosable as by Vizing’s Theorem ∆(G) ≤χ' (G)≤∆(G) + 1. We prove that if G is a planar graph without 7-cycles with ∆(G)≠5,6 , or without adjacent 4-cycles with ∆(G)≠5, or with no 3-cycles adjacent to 5-cycles, then G is edge-(∆ + 1)-choosable.

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Consider an undirected graph G and a subgraph of G, H. A q-backbone k-colouring of (G,H) is a mapping f: V(G) {1, 2, ..., k} such that G is properly coloured and for each edge of H, the colours of its endpoints differ by at least q. The minimum number k for which there is a backbone k-colouring of (G,H) is the backbone chromatic number, BBCq(G,H). It has been proved that backbone k-colouring of (G,T) is at most 4 if G is a connected C4-free planar graph or non-bipartite C5-free planar graph or Cj-free, j∈{6,7,8} planar graph without adjacent triangles. In this thesis we improve the results mentioned above and prove that 2-backbone k-colouring of any connected planar graphs without adjacent triangles is at most 4 by using a discharging method. In the second part of this thesis we further improve these results by proving that for any graph G with χ(G) ≥ 4, BBC(G,T) = χ(G). In fact, we prove the stronger result that a backbone tree T in G exists, such that ∀ uv ∈ T, |f(u)-f(v)|=2 or |f(u)-f(v)| ≥ k-2, k = χ(G). For the case that G is a planar graph, according to Four Colour Theorem, χ(G) = 4; so, BBC(G,T) = 4.

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Accelerated life testing (ALT) is widely used to obtain reliability information about a product within a limited time frame. The Cox s proportional hazards (PH) model is often utilized for reliability prediction. My master thesis research focuses on designing accelerated life testing experiments for reliability estimation. We consider multiple step-stress ALT plans with censoring. The optimal stress levels and times of changing the stress levels are investigated. We discuss the optimal designs under three optimality criteria. They are D-, A- and Q-optimal designs. We note that the classical designs are optimal only if the model assumed is correct. Due to the nature of prediction made from ALT experimental data, attained under the stress levels higher than the normal condition, extrapolation is encountered. In such case, the assumed model cannot be tested. Therefore, for possible imprecision in the assumed PH model, the method of construction for robust designs is also explored.

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Ancrée dans le domaine de la didactique des mathématiques, notre thèse cible le « travail de l’erreur » effectué par trois enseignants dans leur première année de carrière. Libérés des contraintes associées au système de formation initiale, ces sujets assument pleinement leur nouveau rôle au sein de la classe ordinaire. Ils se chargent, entre autres, de l’enseignement de l’arithmétique et, plus précisément, de la division euclidienne. Parmi leurs responsabilités se trouvent le repérage et l’intervention sur les procédures erronées. Le « travail de l’erreur » constitue l’expression spécifique désignant cette double tâche (Portugais 1995). À partir d’un dispositif de recherche combinant les méthodes d’observation et d’entrevue, nous documentons des séances d’enseignement afin de dégager les situations où nos maîtres du primaire identifient des erreurs dans les procédures algorithmiques des élèves et déploient, subséquemment, des stratégies d’intervention. Nous montrons comment ces deux activités sont coordonnées en décrivant les choix, décisions et actions mises en œuvre par nos sujets. Il nous est alors possible d’exposer l’organisation de la conduite de ces jeunes enseignants en fonction du traitement effectif de l’erreur arithmétique. En prenant appui sur la théorie de champs conceptuels (Vergnaud 1991), nous révélons l’implicite des connaissances mobilisées par nos sujets et mettons en relief les mécanismes cognitifs qui sous-tendent cette activité professionnelle. Nous pouvons ainsi témoigner, du moins en partie, du travail de conceptualisation réalisé in situ. Ce travail analytique permet de proposer l’existence d’un schème du travail de l’erreur chez ces maîtres débutants, mais aussi de spécifier sa nature et son fonctionnement. En explorant le versant cognitif de l’activité enseignante, notre thèse aborde une nouvelle perspective associée au thème du repérage et de l’intervention sur l’erreur de calcul de divisions en colonne.