78,701 results
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202. The Answering Process for Multiple-Choice Questions in Collaborative Learning: A Mathematical Learning Model Analysis
- Author
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Nakamura, Yasuyuki, Nishi, Shinnosuke, and Muramatsu, Yuta
- Abstract
In this paper, we introduce a mathematical model for collaborative learning and the answering process for multiple-choice questions. The collaborative learning model is inspired by the Ising spin model and the model for answering multiple-choice questions is based on their difficulty level. An intensive simulation study predicts the possibility of modification of the Nitta model, which describes the transition of the number of students answering multiple-choice questions correctly following discussions among students, using a master equation. [For the complete proceedings, see ED557311.]
- Published
- 2014
203. Some Problems in the Paper “Model Checking Using Partial Kripke Structure with 3-Valued Temporal Logic”.
- Author
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Lei, Chen and Yun-fu, Shen
- Subjects
KRIPKE semantics ,MATHEMATICAL models ,COMPUTER logic ,ALGORITHMS ,OPERATOR theory ,SYSTEMS design - Abstract
Abstract: A lot of work has been done in the field of multi-valued model checking home and abroad. But some research works are not perfect. Some problems in the semantic definitions of temporal operators and corresponding model checking algorithms are found in the paper “Model Checking Using Partial Kripke Structure with 3-Valued Temporal Logic”. Some counterexamples are given to show these errors. On the basis of the discussion, some sound semantic definitions of temporal operators and correct algorithms of model checking for some temporal operators are given. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
204. Using Grey-Based Mathematical Equations of Decision-Making as Teaching Scaffolds: From an Unplugged Computational Thinking Activity to Computer Programming
- Author
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How, Meng-Leong and Looi, Chee-Kit
- Abstract
Computational Thinking (CT) is pervasive in our daily lives and is useful for problem-solving. Decision-making is a crucial part of problem-solving. In the extant literature, problem-solving strategies in educational settings are often conveniently attributed to intuition; however, it is well documented that computer programmers might even have difficulty describing about their intuitive insights during problem-solving using natural language (such as English), and subsequently convert what has been described using words into software code. Hence, a more analytical approach using mathematical equations and descriptions of CT is offered in this paper as a potential form of rudimentary scaffolding, which might be useful to facilitators and learners of CT-related activities. In the present paper, the decision-making processes during an unplugged CT activity are delineated via Grey-based mathematical equations, which is useful for informing educators who may wish to explain to their learners about the various aspects of CT which are involved in the unplugged activity and simultaneously use these mathematical equations as scaffolds between the unplugged activity and computer code programming. This theoretical manuscript may serve as a base for learners, should the facilitator ask them to embark on a software programming activity that is closely associated to the unplugged CT activity.
- Published
- 2018
205. On Special Orthotropy of Paper.
- Author
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Paolo Vannucci
- Subjects
ORTHOTROPY (Mechanics) ,ELASTICITY ,MICROMECHANICS ,MATHEMATICAL models ,PAPER ,MECHANICAL behavior of materials - Abstract
Abstract  In this paper it is shown that the well known special orthotropy of paper, explained by micromechanical models of complex bodies, actually corresponds to a special case of orthotropy of a plane elastic body. The existence of this special orthotropy was predicted by the author in a previous work. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
206. Technology of Synergy Revealing in Teaching of Mathematics
- Author
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Smirnov, Eugeny, Uvarov, Artiom, and Smirnov, Nikita
- Abstract
In present article the possibilities of synergy revealing of mathematical education in secondary school on the basis of modern achievements in science adaptation are investigated. The technology is based on the study of "problem zones" of the development of school mathematics with synergetic effects manifestation on the basis of visual modelling of founding environment using computer and mathematical resources. The technology of modern achievements in science adaptation to school mathematics (chaos "area" of lateral surface of Schwarz cylinder, fuzzy sets and fuzzy logic, fractal geometry, coding theory, etc.) on the basis of phased mathematical modelling and computer-aided design with the manifestation of nonlinear synergetic effects is developed. The founding cluster of generalized construct of modern knowledge, consisting of 4 implementation stages: "initial level" of the essence development of generalized construct for intuitive visual level, "functional stage" of awareness and correction of the features, options, and terms of limit process, "operational stage" of awareness and generality of temporal and functional sequence of learning activity of generalized essence of the construct, assessment stage of empirical verification of results, quantitative and qualitative analysis of teaching actions by means of mathematical modelling and computer-aided design, "integrative stage" aimed at the ability to translate the situation of entity's development into the processes of modelling, generalization and transfer. Each stage is integrated with two spirals of founding by means of processes equipment of essence deployment for generalized construct: motivation and applied maintenance of essence development, mathematical and computer modelling of synergetic effects manifestation and attributes. [For "NORDSCI International Conference Proceedings: Education and Language Edition (Helsinki, Finland, July 17, 2018). Book 1. Volume 1," see ED603189. Funding for this research was provided by the Russian Science Foundation.]
- Published
- 2018
207. Handling of thermal paper: Implications for dermal exposure to bisphenol A and its alternatives.
- Author
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Bernier, Meghan R. and Vandenberg, Laura N.
- Subjects
SKIN absorption ,PHYSIOLOGICAL effects of chemicals ,BISPHENOL A ,SKIN physiology ,MATHEMATICAL models - Abstract
Bisphenol A (BPA) is an endocrine disrupting chemical used in a wide range of consumer products including photoactive dyes used in thermal paper. Recent studies have shown that dermal absorption of BPA can occur when handling these papers. Yet, regulatory agencies have largely dismissed thermal paper as a major source of BPA exposure. Exposure estimates provided by agencies such as the European Food Safety Authority (EFSA) are based on assumptions about how humans interact with this material, stating that ‘typical’ exposures for adults involve only one handling per day for short periods of time (<1 minute), with limited exposure surfaces (three fingertips). The objective of this study was to determine how individuals handle thermal paper in one common setting: a cafeteria providing short-order meals. We observed thermal paper handling in a college-aged population (n = 698 subjects) at the University of Massachusetts’ dining facility. We find that in this setting, individuals handle receipts for an average of 11.5 min, that >30% of individuals hold thermal paper with more than three fingertips, and >60% allow the paper to touch their palm. Only 11% of the participants we observed were consistent with the EFSA model for time of contact and dermal surface area. Mathematical modeling based on handling times we measured and previously published transfer coefficients, concentrations of BPA in paper, and absorption factors indicate the most conservative estimated intake from handling thermal paper in this population is 51.1 ng/kg/day, similar to EFSA’s estimates of 59 ng/kg/day from dermal exposures. Less conservative estimates, using published data on concentrations in thermal paper and transfer rates to skin, indicate that exposures are likely significantly higher. Based on our observational data, we propose that the current models for estimating dermal BPA exposures are not consistent with normal human behavior and should be reevaluated. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
208. Mathematical Modeling: Challenging the Figured Worlds of Elementary Mathematics
- Author
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Wickstrom, Megan H.
- Abstract
This article is a report on a teacher study group that focused on three elementary teachers' perceptions of mathematical modeling in contrast to typical mathematics instruction. Through the theoretical lens of figured worlds, I discuss how mathematics instruction was conceptualized across the classrooms in terms of artifacts, discourse, and identity. I then highlight, through four themes, how mathematical modeling challenged the ways in which both the teachers and students understood what it means to know and do mathematics. Findings suggest that the practice of mathematical modeling allowed for access, empowerment, and real world connections that were typically not present in classroom instruction. In addition, it challenged student positioning in the classroom in terms of who was framed as capable of doing mathematics. [For complete proceedings, see ED581294.]
- Published
- 2017
209. Specifying and Refining a Complex Measurement Model.
- Author
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Levy, Roy and Mislevy, Robert J.
- Abstract
This paper aims to describe a Bayesian approach to modeling and estimating cognitive models both in terms of statistical machinery and actual instrument development. Such a method taps the knowledge of experts to provide initial estimates for the probabilistic relationships among the variables in a multivariate latent variable model and refines these estimates using Markov Chain Monte Carlo procedures. This process is described in terms of NetPASS, a complex simulation based assessment in the domain of computer networking. The paper describes a parameterization of the relationships in NetPASS via an ordered polytomous item response model and details the updating of the model with observed data via Bayesian statistical procedures ultimately being provided by Markov Chain Monte Carlo estimation. (Contains 12 tables, 9 figures, and 47 references.) (Author/SLD)
- Published
- 2003
210. Mathematics in Action: A Challenge for Social Theorising.
- Author
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Skovsmose, Ole
- Abstract
This paper discusses how mathematics can be interpreted as an integral part of technological planning and decision making, and how mathematics therefore operates as an integral part of technology. Three aspects of mathematics in action are presented. The paper provides for the theoretical task of grasping mathematics in action and identifying how mathematics supports a technological imagination, how it establishes possibilities to investigate particular aspects of possible technological constructions, and how mathematics becomes installed in society and starts operating as part of technological devices. It is also pointed out that an understanding of mathematics in action is crucial for interpreting basic aspects of social development. (Contains 66 references.) (KHR)
- Published
- 2001
211. Kinetic study of mesophilic anaerobic digestion of pulp & paper sludge
- Author
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Lin, Yunqin, Wang, Dehan, Li, Qing, and Huang, Lijian
- Subjects
- *
ANAEROBIC digestion , *SEWAGE sludge digestion , *WASTE paper , *METHANE , *CHEMICAL reactions , *CHEMICAL kinetics , *MATHEMATICAL models - Abstract
Abstract: Anaerobic digestion of pulp and paper sludge (PPS) and monosodium glutamate waste liquor (MGWL) was studied in completely stirred tank reactors (CSTR) at 37 ± 2 °C. This work focused on the effect of increased organic loading rate (OLR) on the methane production in long-term experiments. For OLR in the range of (1.5–5.0) kg m−3 d−1 based on VS fed, VFA and SCOD concentrations decreased for the first 10 days and then kept stable at about 2.3 kg m−3 and 4.0 kg m−3 respectively until to the critical OLR of 5.0 kg m−3 d−1; and the methane generation rate enhanced to 0.838 m3 m−3 d−1 during this period until to the reactor failure. Additionally, reaction rate constant k and sludge retention time (SRT) are described on the basis of a mass balance in a CSTR followed a first order kinetic equation. In the present study, values for ym and k were obtained as 0.733 m3 kg−1 of removed VS and 0.07 d−1, respectively. The simple model can apply for dimensioning a CSTR digesting of organic wastes from pulp and paper industries, food processing industries, sewage treatment plants or biogas crops. [Copyright &y& Elsevier]
- Published
- 2011
- Full Text
- View/download PDF
212. A SEMI-EMPIRICAL MODEL OF THE TENSILE ENERGY ABSORPTION OF SACK KRAFT PAPER.
- Author
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Shallhorn, Paul and Gurnagul, Norayr
- Subjects
- *
ABSORPTION , *BAGS , *FIBERS , *PLANT fibers , *PULPING , *PAPER industry - Abstract
We have developed a semi-empirical model to relate the tensile energy absorption (TEA) of paper sheets formed from high-consistency refined pulp to pulp properties, including water retention value (WRV), fibre length, and fibre curl. TEA is shown to be related to the normalized stretch (ratio of stretch to tensile strength) and the tensile strength of the pulp. Normalized stretch appears to be a function of fibre curl, whereas tensile strength for a given pulp is a function of the fibre length, fibre curl, and WRV. The manner in which these three pulp properties develop in a given refining operation determines the development of TEA. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
213. Effects of a Holistic versus an Atomistic Modelling Approach on Students' Mathematical Modelling Competencies
- Author
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Brand, Susanne
- Abstract
The paper deals with the question of the practicability and the effectiveness of different approaches to foster students' mathematical modelling competencies. Within the modelling project ERMO (Acquirement of modelling competencies) a holistic and an atomistic approach of mathematical modelling were compared in order to find out which approach is more effective in fostering the students' modelling competencies. The results of modelling tests with three measurement points show that both approaches foster students' modelling competencies, but both approaches have strengths and weaknesses. The data indicates that the holistic approach is more effectively for students with weaker performance in mathematics. [For the complete proceedings, see ED597799.]
- Published
- 2014
214. Space promotes the coexistence of species: Effective medium approximation for rock-paper-scissors system.
- Author
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Nagatani, Takashi, Sato, Kazunori, Ichinose, Genki, and Tainaka, Kei-ichi
- Subjects
- *
COEXISTENCE of species , *APPROXIMATION theory , *CELLULAR automata , *LOTKA-Volterra equations , *POPULATION dynamics , *PREDICTION models , *MATHEMATICAL models - Abstract
Stochastic cellular automata for rock-paper-scissors games are related to Lotka-Volterra model. Simulations are usually performed by two methods local and global interactions. It is well known that the population dynamics with local interaction is stable, where all species coexist. In contrast, global interaction leads to extinction. So far, theories such as mean-field theory and pair approximation have been presented, but they never explained the stable dynamics in local simulation. In the present article, we apply effective medium approximation (EMA) which has been developed in Physics. The effective medium is determined in a self-consistent way. The EMA theory well predicts the stability of population dynamics. Moreover, it fairly explains the aggregation of each species observed in the stationary state. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
215. Preface: Special Issue of Selected Extended Papers from IJCAR 2018.
- Author
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Galmiche, Didier, Schulz, Stephan, and Sebastiani, Roberto
- Subjects
RELEVANCE logic ,FREE probability theory ,PROOF complexity ,GENERALIZATION ,MATHEMATICAL models - Published
- 2020
- Full Text
- View/download PDF
216. Structural Equation Modeling versus Ordinary Least Squares Canonical Analysis: Some Heuristic Comparisons.
- Author
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Dawson, Thomas E.
- Abstract
This paper describes structural equation modeling (SEM) in comparison with another overarching analysis within the general linear model (GLM) analytic family: canonical correlation analysis. The uninitiated reader can gain an understanding of SEM's basic tenets and applications. Latent constructs discovered via a measurement model are explored and the structural models that "connect" latent constructs are described. In addition to reviewing SEM constructs, the paper uses the analysis of a heuristic data set to show how SEM as the most general analytic approach subsumes canonical correlation analysis (CCA) as a special case, even though canonical correlation analysis in turn itself subsumes other parametric methods (e.g., t-tests, analysis of variance, regression, multivariate analysis of variance, and discriminant analysis) as special cases. An appendix contains an illustration that SEM subsumes CCA. (Contains 1 table, 4 figures, and 21 references.) (Author/SLD)
- Published
- 1998
217. The diffusion of scientific papers of chemistry. Mathematical and sociological approach.
- Author
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Le Coadic, Yves F.
- Subjects
INTERPERSONAL relations ,SCIENTIFIC knowledge ,INTERGROUP relations ,MATHEMATICAL models ,DYNAMICS ,ORGANIC chemistry - Abstract
Copyright of Revue Française de Sociologie is the property of Presses de Sciences Po and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 1980
- Full Text
- View/download PDF
218. A discussion of Barabási–Albert’s 1999 paper.
- Author
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Shi, Dinghua, Zhou, Huijie, and Liu, Liming
- Subjects
MARKOV processes ,TIME series analysis ,MATHEMATICAL symmetry ,FIXED point theory ,SOCIAL networks ,MATHEMATICAL proofs ,MATHEMATICAL models - Abstract
Abstract: Although the scale invariance is a main feature of growing networks, evidence from a few modelled networks show that the finite-size effect of network at a fixed time cannot be ignored. We propose a concept of time-dependent scale-free networks, and prove the criteria for the stability and scale-free of growing networks by the degree-growing Markov chain. Our results show the importance of rigorous theoretical analysis for the network science. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF
219. Some Remarks on Ajgaonkar's Paper "The Effect of Increasing Sample Size on the Precision of an Estimator"
- Author
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Hanurav, T. V.
- Published
- 1968
- Full Text
- View/download PDF
220. Proceedings of the 2017 Annual Meeting of the Canadian Mathematics Education Study Group = Actes de la Rencontre Annuelle 2017 du Groupe Canadien d'Etude en Didactique des Mathématiques (41st, Montreal, Quebec, Canada, June 2-6, 2017)
- Author
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Canadian Mathematics Education Study Group (CMESG), Holm, Jennifer, Mathieu-Soucy, Sarah, and Oesterle, Susan
- Abstract
This submission contains the Proceedings of the 2017 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at McGill University in Montreal, Quebec June 2-6. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of the Study Group are: to advance education by organizing and coordinating national conferences and seminars to study and improve the theories of the study of mathematics or any other aspects of mathematics education in Canada at all levels; and to undertake research in mathematics education and to disseminate the results of this research. These proceedings include plenary lectures, panel discussions, working group reports, new PhD reports, and summaries of ad hoc and poster sessions. Papers include the following: (1) The Most Unglamorous Job of All: Writing Mathematics Exercises (Yvan Saint-Aubin); (2) 40+ Years of Teaching and Thinking about University Mathematics Students, Proofs, and Proving (Annie Selden); (3) 'Elder Talk'-A Revisionist Version (Joel Hillel); (4) Teaching First Year Mathematics Courses in Transition from Secondary to Tertiary (Ann Arden, Wesley Maciejewski, Nadia Hardy); (5) L'anxiété mathématique chez les futurs enseignants du primaire : à la recherche de nouvelles réponses à des enjeux qui perdurent / Elementary Preservice Teachers and Mathematics Anxiety: Searching for New Responses to Enduring Issues (Manion LeBlanc, Jamie Pyper, Jo Towers) [Written in French and English]; (6) Social Media and Mathematics Education (Judy Larsen, Egan Chernoff, Viktor Freiman); (7) Quantitative Reasoning in the Early Years / Le raisonnement quantitatif dans les premières années du parcours scolaire (Doris Jeannotte, Lynn McGarvey)[Written in English and French ]; (8) Social, Cultural, Historical and Philosophical Perspectives on Tools for Mathematics (Yasmine Abtahi, Susan Gerofsky, Jean Francois); (9) Compréhension approfondie des mathématiques scolaires / Deep Understanding of School Mathematics (Richelle Marynowski, Sarah Dufour, Peter Liljedhal); (10) Modelling Mathematical Modelling / Modéliser la modélisation mathématique (France Caron)[Written in French and English]; (11) Collective Learning: Re-thinking the Environment, Artifacts and Classroom Interactions (Joyce Mgombelo); (12) A Psychological View of Teaching Proof Construction (John Selden); (13) Things Kids Think With: The Role of the Physical Properties of Mathematical Tools in Children's Learning in the Context of Addition of Fractions (Yasmine Abtahi); (14) Examining Mathematics Anxiety Among Classroom Teachers (Atinuke Adeyemi); (15) Teaching Teachers: A Look Inside Professional Development (Melania Alvarez); (16) Be Innovative but Don't Be Wrong: Are 21st Century Students Experiencing 21st Century Mathematics? (Jennifer Godfrey Anderson); (17) College Foundational Mathematics: Can the Affordances of ICT Enhance Self-regulation Skill of Students? / Mathématiques fondamentales du collège : est-ce que les apports des « TIC » peuvent améliorer l'autorégulation des compétences des élèves? (Carol Carruthers)[Written in English and French]; (18) Influence of the Learning Environment on Student Test Performance in Undergraduate Mathematics Courses (Amenda Chow); (19) The Role of Oral Communication Strategies in Accessing and Assessing Mathematical Understanding: Case Studies of Primary School Teachers' Perceptions of Teaching Mathematics and Teaching Literacy (Celia Kutas Chisu); (20) Reciprocal Partnership: An Intervention to Enhance Mathematics Self-efficacy and Achievement of First- and Second-semester College Students (Kerry Kwan); (21) Understanding the Interactions within a New Teacher Learning Community Composed of First Time Participants and a Novice Facilitator (Terry Wan Jung Lin); (22) Valued Kinds of Knowledge and Ways of Knowing in Mathematics and the Teaching and Learning of Mathematics: A Worldview Analysis (Gale L. Russell); (23) Opening Space: Complexity Thinking, Classroom Discourse, and Mathematics Learning in the Elementary Classroom / La technologie du forum ouvert: complexité, le discours de classe, et l'apprentissage de mathématiques en école élémentaire (Evan Throop-Robinson)[Written in English and French]; (24) Investigating Mathematics Teachers' Knowledge for Teaching and Their Learning Trajectories (Zhaoyun Wang]; (25) What/How Can We Learn from the Deaf Mathematics Classroom? (Christins M. Krause); (26) The Mathematical Association of Tanzania (MAT) Experience in CMESG Conference (Said A. Sima); (27) Toward a Hybrid Model to Describe Creative Acts in Mathematics Learning Environments (Ayman Aljarrah); (28) Problem Drift: Imaging Emerging Curricular Significance (Nat Banting); (29) Incorporating Writing into the Undergraduate Mathematics Curriculum (Lauren Dedieu); (30) Informing Local Materials Used for Concept-Rich Instruction Practice in Mathematics Class with Pre-service Teachers in Tanzanian Context (Emmanuel, Deogratias); (31) Les jeux technologiques dans les cours de mathématiques au secondaire (Caitlin, Furlong) [Written in French]; (32) De jeunes chercheurs à la rencontre de la philosophie des mathématiques (Sabrina Heroux, Sarah Mathieu-Soucy, Laura Broley) [Provided in French]; (33) Examining Parent Perspectives of Multiple Strategies (Jennifer Holm, Lynn McGarvey, Lixin Luo, Janelle McFeeters, and Iris Yin); (34) La dialectique perfection/imperfection : une nouvelle manière de penser l'activité mathématique (Marie-Line L. LaMarche, Jean-Francois Maheux) [Provided in French]; (35) Understanding School Leaders' Discourse in Regard to Mathematics Achievement (Jhonel Morvan); (36) I SEE What You're Saying: Visualization and the Growth of Mathematical Images (Jennifer Plosz); (37) Students' Relationships With Mathematics Revealed Through Drawings (Jennifer Plosz, Jo Towers, Kori Czuy, Ayman Aljarrah, Andrew Vorhies and Miwa Takeuchi); (38) Teacher Professional Learning in Tanzania: Experiences of Mathematics Teacher Leaders (Calvin Zakaria Swai); (39) "Perimeter is easier to work with than area": Students' Language Use in Group Work (Miwa Akoi Takeuchi); and (40) Toward an Understanding of Mathematics Teachers' Participation in Professional Learning Networks (Xiong Wang). Individual papers provide referenced. [For the 2016 proceedings, see ED581045.]
- Published
- 2017
221. Assessment of Student Learning in Virtual Spaces, Using Orders of Complexity in Levels of Thinking
- Author
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Capacho, Jose
- Abstract
This paper aims at showing a new methodology to assess student learning in virtual spaces supported by Information and Communications Technology-ICT. The methodology is based on the Conceptual Pedagogy Theory, and is supported both on knowledge instruments (KI) and intelectual operations (IO). KI are made up of teaching materials embedded in the virtual environment. The student carries out IO in his/her virtual formation process based on KI. Both instruments of knowledge and intellectual operations can be mathematically modelled by using functions of increasing complexity order. These functions represent the student's learning change. This paper's main contribution is to show that these functions let the student go from a concrete thinking to a formal one in his/her virtual learning process. The research showed that 47% of the students moved from a concrete thinking level to the formal thinking level.
- Published
- 2017
222. Information Resources Usage in Project Management Digital Learning System
- Author
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Davidovitch, Nitza, Belichenko, Margarita, and Kravchenko, Yurii
- Abstract
The article combines a theoretical approach to structuring knowledge that is based on the integrated use of fuzzy semantic network theory predicates, Boolean functions, theory of complexity of network structures and some practical aspects to be considered in the distance learning at the university. The paper proposes a methodological approach that takes into account these features. The paper deals with the structuring of project management programs of academic mobility. The features of these projects show their impact on the progress and results of the implementation. It is shown that traditional approaches to solving the problems of academic mobility management applications to integrate the process of setting objectives and planning projects. But due to the complexity of academic mobility programs to solve these problems effectively without decomposing it into components can be managed quite difficult. Therefore, the main idea of this paper is that an increasing the efficiency of the university on the basis of a possible application of rational structuring of academic mobility programs. The features of these projects shows their impact on the progress and results of their implementation and the ways of construction of project management Digital learning systems. The experience of universities of many countries shows that an effective tool to overcome these obstacles is Digital learning, which allows to get all necessary knowledge at any time and in any place. The identity of urgency takes in terms of academic mobility when students and teachers work in another country. The paper presents the analyse of the structure of scientific and methodological basis of project management systems. The model determines the effect of academic mobility project management tools through knowledge of business administration at the progress of the educational projects. In this structure are identified two parts: creation tool to identify knowledge users and how they change, and the creation of information tools effect on these people.
- Published
- 2017
223. Mathematical Modeling and Computational Thinking
- Author
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Sanford, John F. and Naidu, Jaideep T.
- Abstract
The paper argues that mathematical modeling is the essence of computational thinking. Learning a computer language is a valuable assistance in learning logical thinking but of less assistance when learning problem-solving skills. The paper is third in a series and presents some examples of mathematical modeling using spreadsheets at an advanced level such as high school or early college.
- Published
- 2017
224. The influence of temperature and aging of cellulose on water distribution in oil-paper insulation.
- Author
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Przybylek, P.
- Subjects
FATS & oils ,DETERIORATION of materials ,WATER distribution ,CELLULOSE insulation ,MOISTURE ,TEMPERATURE distribution ,MATHEMATICAL models - Abstract
This paper deals with the problem of moisture in the transformer insulation system. The author proposed that apart from the temperature, the uneven aging of cellulose insulation may have a substantial effect on moisture distribution. The main goal of the research was to check the influence of the degree of aging of winding paper on moisture distribution by taking into account temperature distribution. New paper and paper at three different stages of aging were tested. The obtained results confirmed the hypothesis it was proven that the uneven aging of insulation may enhance moisture distribution in the insulation system. [ABSTRACT FROM PUBLISHER]
- Published
- 2013
- Full Text
- View/download PDF
225. Las Funciones Sinusoidales y los Fenómenos Armónicos = The Sinusoidal Functions and the Harmonic Phenomena
- Author
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Ortega, Minerva Martínez, Mejia Velasco, Hugo R., and Martínez, María De Los Angeles
- Abstract
In this research we discuss relating the description of certain harmonic phenomena, with models that represent them, with the goal of promoting the understanding of the period, the frequency, and the amplitude of the trigonometric functions, particularly referring to sinusoidal functions; in this way the frontier between sinusoidal functions and one of its areas of application to physics is preserved. This is an ongoing research study where digital technology like a movement sensor is employed in order to generate graphics related to sinusoidal functions, in which the movement features followed by harmonic phenomena are identified. It is important to mention the use of an approach where it is possible to transit alternatively from the analysis of the phenomena to the mathematical model. It is conjectured that the way it approaches sinusoidal functions could help assign meaning to the model f(x) =Acos(?x+[phi]). [Written in both Spanish and English. For the complete proceedings, see ED583608.]
- Published
- 2016
226. The Use of Student-Created Dynamic Models to Explore Calculus Concepts
- Author
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Gertenbach, Ryan and Bos, Beth
- Abstract
Multiple representations, multiple modalities, and technology can be helpful in the understanding of mathematical concepts when used in an appropriate manner (Shah & Freedman, 2003; Goldman, 2003), but this alone does not account for the student benefits of creating and using dynamic models over teacher generated graphs to construct connections between representations. By uncovering the dynamic nature of mathematics, calculus becomes more transparent as relationships and patterns emerge. The struggle to understand becomes worthwhile and rewarding for students as they create and observe the action of a dynamic mathematical object. This study shows an improvement in attitude, and academic achievement when students develop dynamic mathematical object to understand calculus and poses new questions to explore. [For the complete proceedings, see ED583608.]
- Published
- 2016
227. Reflective Modeling in Teacher Education.
- Author
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Shealy, Barry E.
- Abstract
This paper describes mathematical modeling activities from a secondary mathematics teacher education course taken by fourth-year university students. Experiences with mathematical modeling are viewed as important in helping teachers develop a more intuitive understanding of mathematics, generate and evaluate mathematical interpretations, and connect mathematics to real-world and applied situations. A four-step cycle of the modeling process is presented, involving: a real problem situation, the formulated problem, the mathematical model, and conclusions and answers to questions generated through analyzing the model. Three concepts were incorporated into the teacher education course: (1) the importance of developing and understanding one's conceptual model of the situation; (2) emphasis on reflective knowledge; and (3) the participants' evaluation of the entire activity identifying their goals and biases and evaluating their own thought processes. In the course, the teachers found examples of relationships in everyday language that can be described mathematically, drew graphs, and compared the relationships to familiar functions as possible models. They then classified functional relationships to build families of functions through sorting activities. For example, teachers analyzed U.S. census data, investigated problems involving compounded interest, and discussed possible connections between a new business's advertising expenditures and their sales, thereby using linear, quadratic, exponential, logarithmic, periodic, rational, and algebraic functions. Problems encountered in teaching the modeling process are discussed. (Contains 15 references.) (JDD)
- Published
- 1993
228. Reasoning by Analogy in Constructing Mathematical Ideas.
- Author
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English, Lyn D.
- Abstract
A powerful way of understanding something new is by analogy with something already known. An analogy is defined as a mapping from one structure, which is already known (the base or source), to another structure that is to be inferred or discovered (the target). The research community has given considerable attention to analogical reasoning in the learning of science and in general problem solving, particularly as it enhances transfer of knowledge structures. Little work, however, has been directed towards its role in children's mathematical learning. This paper examines analogy as a general model of reasoning and discusses its role in several studies of children's mathematical learning. A number of principles for learning by analogy are proposed, including clarity of the source structure, clarity of mappings, conceptual coherence, and applicability to a range of instances. These form the basis for a critical analysis of some commonly used concrete analogs (colored counters, the abacus, money, the number line, and base-ten blocks). The final section of the paper addresses more abstract analogs, namely, established mental models or cognitive representations that serve as the source for the construction of new mathematical ideas. A reference list contains 78 citations. (MKR)
- Published
- 1993
229. Students and Real World Applications: Still a Challenging Mix
- Author
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Mathematics Education Research Group of Australasia and Galbraith, Peter
- Abstract
Rhetoric about the importance of students being equipped to apply mathematics to relevant problems arising in their lives, individually, as citizens, and in the workplace has never been matched by serious policy or curricular support. This paper identifies and elaborates authenticity implications for addressing this issue, and describes aspects of a modelling challenge in which students were mentored to engage in problem solving located in real world settings. Characteristics of the approach and selected student responses to the challenge are provided.
- Published
- 2013
230. Rasch Models from Objectivity: A Generalization.
- Author
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Linacre, John M.
- Abstract
Rasch models for fundamental measurement in the psychological sciences are derived from the principle of specific objectivity, the requirement that the parameter value representing each component in a test situation be independent of the other components. The dichotomous Rasch model for two-faceted analysis, applicable to conventional paper-and-pencil tests, is constructed. The many-faceted Rasch model is also derived by means of a three-faceted example, comprising judges, examinees, test items, and a rating scale, which is applicable to many judging situations. Any other particular form of the many-faceted model may also be derived in a similar manner. (Author/TJH)
- Published
- 1989
231. Streaming electrification study of transformer insulation system using a paper tube model
- Author
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Lindgren, S [Electric Power Research Inst., Palo Alto, CA (USA)]
- Published
- 1990
- Full Text
- View/download PDF
232. Soviet paper on laser target heating, symmetry of irradiation, and two-dimensional effects on compression
- Author
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Sahlin, H.
- Published
- 1976
- Full Text
- View/download PDF
233. A two-stage stochastic and robust programming approach to strategic planning of a reverse supply network: The case of paper recycling
- Author
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Kara, Selin Soner and Onut, Semih
- Subjects
- *
STOCHASTIC programming , *ROBUST control , *STRATEGIC planning , *MATHEMATICAL models , *UNCERTAINTY (Information theory) , *PAPER recycling , *COMPUTER software - Abstract
Abstract: Paper is an example of a valuable material that can be recycled and recovered. In this study, a two-stage stochastic revenue-maximization model is presented to determine a long-term strategy under uncertainty for a large-scale real-world paper recycling company. This network-design problem includes optimal recycling center locations and optimal flow amounts between the nodes in the multi-facility environment. The proposed model is formulated with two-stage stochastic mixed-integer and robust programming approaches. The models are solved by commercial software GAMS 21.6/CPLEX 9.0 and the results are compared. The study is followed by the analyses of the results. [Copyright &y& Elsevier]
- Published
- 2010
- Full Text
- View/download PDF
234. A systematic review of literature examining the application of a social model of health and wellbeing.
- Author
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Rahman, Rachel, Reid, Caitlin, Kloer, Philip, Henchie, Anna, Thomas, Andrew, and Zwiggelaar, Reyer
- Subjects
HOLISTIC medicine ,HEALTH status indicators ,OCCUPATIONAL achievement ,INTERPROFESSIONAL relations ,RESEARCH funding ,MEDICAL care ,CINAHL database ,DESCRIPTIVE statistics ,ATTITUDE (Psychology) ,SYSTEMATIC reviews ,MEDLINE ,MATHEMATICAL models ,CONCEPTUAL structures ,THEORY ,CHANGE ,STAKEHOLDER analysis ,SOCIAL support ,QUALITY assurance ,WELL-being ,PSYCHOLOGY information storage & retrieval systems - Abstract
Background Following years of sustained pressure on the UK health service, there is recognition amongst health professionals and stakeholders that current models of healthcare are likely to be inadequate going forward. Therefore, a fundamental review of existing social models of healthcare is needed to ascertain current thinking in this area, and whether there is a need to change perspective on current thinking. Method Through a systematic research review, this paper seeks to address how previous literature has conceptualized a social model of healthcare and, how implementation of the models has been evaluated. Analysis and data were extracted from 222 publications and explored the country of origin, methodological approach, and the health and social care contexts which they were set. Results The publications predominantly drawn from the USA, UK, Australia, Canada and Europe identified five themes namely: the lack of a clear and unified definition of a social model of health and wellbeing; the need to understand context; the need for cultural change; improved integration and collaboration towards a holistic and person-centred approach; measuring and evaluating the performance of a social model of health. Conclusion The review identified a need for a clear definition of a social model of health and wellbeing. Furthermore, consideration is needed on how a model integrates with current models and whether it will act as a descriptive framework or, will be developed into an operational model. The review highlights the importance of engagement with users and partner organizations in the co-creation of a model of healthcare. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
235. Comments on the paper "Nonlinear Convective Flow of Maxwell Fluid over a Slendering Stretching Sheet with Heat Source/Sink, Mocherla Gayatri, Konda Jayaramireddy, Macherla Jayachandra Babu, J. Appl. Comput. Mech., 8(1), 2022, 60-70".
- Author
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Groşan, Teodor and Pop, Ioan
- Subjects
CONVECTIVE flow ,NON-Newtonian fluids ,NAVIER-Stokes equations ,LAPLACE transformation ,MATHEMATICAL models - Abstract
Exact solutions for non-Newtonian fluids are rare, particularly for Maxwell fluids [1], such solutions do not exist. Generally, in non-Newtonian fluids, the relation which connects shear stress and shear rate is non-linear and the constitutive relation forms equations of non-Newtonian fluids which are higher order and complex as compared to Navier-Stokes equation governing the flow of viscous fluid. Due to this high nonlinearity, closed form solutions for non-Newtonian fluid flows are not possible for the problems with practical interest. More exactly, when such fluids problems are tackled via Laplace transform technique, often the inverse Laplace transforms of the transformed functions do not exist. Due to this difficulty, the researchers are usually using numerical procedures for finding the inverse Laplace transform. However, those solutions are not purely regarded as exact solutions. Owing the great diversity in the physical structure of non-Newtonian fluids, researchers have proposed a variety of mathematical models to understand the dynamics of such fluids. Mostly, these models fall in the subcategory of differential type fluids or rate types fluids. However, a keen interest of the researchers is seen in studying rate types fluids due to the fact that they incorporate both the elastic and memory effects together. The present comments concern some doubtful results included in the above paper [2]. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
236. Pedagogical Content Knowledge in Mathematical Modelling Instruction
- Author
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Mathematics Education Research Group of Australasia, Tan, Liang Soon, and Ang, Keng Cheng
- Abstract
This paper posits that teachers' pedagogical content knowledge in mathematical modelling instruction can be demonstrated in the crafting of action plans and expected teaching and learning moves via their lesson images (Schoenfeld, 1998). It can also be developed when teachers shape appropriate teaching moves in response to students' learning actions. Such adaptive development of teachers' pedagogical content knowledge may in turn be supported by their knowledge of the mathematical modelling process and Ang's (to appear) proposed framework for planning mathematical modelling instruction.
- Published
- 2012
237. Exploring Student Reflective Practice during a Mathematical Modelling Challenge
- Author
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Mathematics Education Research Group of Australasia, Redmond, Trevor, Sheehy, Joanne, Brown, Raymond, and Kanasa, Harry
- Abstract
This paper seeks to compare the reflective writings of two cohorts of students (Year 4/5 and Year 8/9) participating in mathematical modelling challenges. Whilst the reflections of the younger cohort were results oriented, the older cohort's reflections spoke more to the affective domain, group processes, the use of technology and the acquisition of mathematical knowledge. This study supports the idea that with scaffolding middle years students can engage in reflective practice to develop mathematical modelling skills.
- Published
- 2012
238. Projects, Puzzles and Other Pedagogies: Working with Kids to Solve Local Problems
- Author
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Mathematics Education Research Group of Australasia and Marshman, Margaret
- Abstract
Engaging and extending middle years students in mathematics is a continual challenge. One of the aims of the "Australian Curriculum: Mathematics" is to ensure that students are "confident, creative users and communicators of mathematics" (ACARA, 2011). Use of mathematical models and/or problems has been suggested as methods of achieving this aim, and mathematical investigations have been shown to improve student engagement. This paper looks to build on these ideas and combine them with the framework of Knowledge Producing Schools (KPS) (Bigum & Rowan, 2009) to determine whether, when students are working on a community based project of their choice, students become "confident, creative users and communicators of mathematics" (ACARA, 2011). [This work is being funded by an Internal University Research Grant from the University of the Sunshine Coast.]
- Published
- 2012
239. Variation and Mathematics Pedagogy
- Author
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Mathematics Education Research Group of Australasia and Leung, Allen
- Abstract
This discussion paper put forwards variation as a theme to structure mathematical experience and mathematics pedagogy. Patterns of variation from Marton's Theory of Variation are understood and developed as types of variation interaction that enhance mathematical understanding. An idea of a discernment unit comprising mutually supporting variation interactions is proposed and used as a building block for a mathematics pedagogy that resembles a developmental sequence from coarse idea to precise definition. Classification of plane figures is used as a pedagogical example for illustration.
- Published
- 2012
240. Modeling and dynamic simulation of mixed feed multi-effect evaporators in paper industry
- Author
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Kumar, Deepak, Kumar, Vivek, and Singh, V.P.
- Subjects
- *
MATHEMATICAL models , *SIMULATION methods & models , *EVAPORATORS , *PAPER industry , *LITERATURE reviews , *TEMPERATURE effect - Abstract
Abstract: A wide range of mathematical models for multiple effect evaporators in process industry including paper industry are well reported in the literature but not so extensive work on the dynamic behavior of MEE system is available in the literature. In the present study dynamic behavior of multi-effect evaporator system of a paper industry is obtained by disturbing the feed flow rate, feed concentration, live steam temperature and feed temperature. For this purpose an unsteady-state model for the multi-effect evaporator system is developed. Each effect in the process is represented by a number of variables which are related by the energy and material balance equations for the feed, product and vapor flow. A generalized mathematical model which could be applied to any number of effects and all kinds of feeding arrangements like forward feed, backward feed, mixed feed and spilt feed in the MEE system with simple modifications was finally obtained. Finally model for mixed feed sextuple effect falling film evaporators system was solved using MATLAB. For the steady state and dynamic simulation the ‘fsolve’ and ‘ode45’ solvers in MATLAB source code is used respectively. [Copyright &y& Elsevier]
- Published
- 2013
- Full Text
- View/download PDF
241. Can the bubble effect occur in an oil impregnated paper bushing?
- Author
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Przybylek, P., Moranda, H., Walczak, K., and Moscicka-Grzesiak, H.
- Subjects
ELECTRIC transformers ,TEMPERATURE measurements ,ELECTRIC insulators & insulation ,ELECTRON tubes ,MATHEMATICAL models ,WATER vapor - Abstract
This paper elucidates the question whether bubble effect can possibly take place in the insulation of OIP (Oil Impregnated Paper) type of bushings. The investigations were performed on a bushing insulation model and indicated to a possibility that the effect may occur. Presence of metallic screens in the insulation does not limit the development of gas bubbling; they only force the motion of water vapor bubbles along the model axis. The temperature dependence of bubble initiation on the water content in paper part of the bushing insulation is similar to the presented earlier in literature characteristics for bubbling in main insulation of power transformers. The possibility of bubble effect occurrence may explain the relatively frequent cases of transformer bushing failures. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
- Full Text
- View/download PDF
242. Prospective Elementary Teachers' Suspension of Sense-Making When Solving Problematic Word Problems
- Author
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Contreras, José N. and Martínez-Cruz, Armando M.
- Abstract
This study investigates the extent to which pre-service elementary teachers (PETs) use their realworld knowledge to solve problems for which the result of the arithmetic operation is problematic, if one takes into consideration the reality of the context. A paper-and-pencil test was administered to 566 PETs enrolled in mathematics content courses. The test included 8 experimental items and 4 buffer items. The findings for a sample of 68 PETs are not very encouraging. The total number of realistic responses varied from 5 to 58 (out of 68 possible for each problem). [For the complete proceedings, see ED585874.]
- Published
- 2011
243. Exploring the Relationship between Mathematical Modelling and Classroom Discourse
- Author
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Mathematics Education Research Group of Australasia, Redmond, Trevor, Sheehy, Joanne, and Brown, Raymond
- Abstract
This paper explores the notion that the discourse of the mathematics classroom impacts on the practices that students engage when modelling mathematics. Using excerpts of a Year 12 student's report on modelling Newton's law of cooling, this paper argues that when students engage with the discourse of their mathematics classroom in a manner that promotes the communication of ideas, they employ mathematical modelling practices that reflect the cyclical approaches to modelling employed by mathematicians. (Contains 7 figures.) [For the complete proceedings, "Shaping the Future of Mathematics Education. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia (33rd, Freemantle, Western Australia, Australia, July 3-7, 2010)," see ED520764.]
- Published
- 2010
244. Predicting hygro-elastic properties of paper sheets based on an idealized model of the underlying fibrous network.
- Author
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Bosco, Emanuela, Peerlings, Ron H.J., and Geers, Marc G.D.
- Subjects
- *
ELASTICITY , *PREDICTION models , *MATHEMATICAL models , *FIBERS , *DEFORMATIONS (Mechanics) , *PAPER , *MOISTURE - Abstract
Significant dimensional variations may occur in paper-based materials when subjected to changes in moisture content. Moisture induced deformations are governed by the swelling of individual fibres, which is transferred through inter-fibre bonds to the entire fibrous network. Complex interactions between mechanical and hygro-expansive properties take place in the bonding areas, affecting the overall material response. In most network models, the role of these inter-fibre bonds is not explicitly incorporated. This work presents a periodic meso-structural model for the discrete fibrous network, which considers the free-standing fibre segments and inter-fibre bonds. Despite its simplicity, the reference unit-cell enables the incorporation of relevant micro- and meso-structural features such as network structure, fibres and bond geometry and hygro-elastic properties. The proposed model is solved analytically through a proper homogenization strategy, allowing to recover the paper’s anisotropic hygro-mechanical response in terms of effective elastic constants and effective hygro-expansive coefficients, exploiting the coupling at the meso-structural level between hygroscopic and mechanical behavior. A comparison with experimental results obtained from the literature shows that the presented approach is quite accurate in predicting the overall paper response, thereby revealing the influence of several meso-scale parameters (e.g. fibre orientation, dimensions, mechanical strength). [ABSTRACT FROM AUTHOR]
- Published
- 2015
- Full Text
- View/download PDF
245. Regional Issue Identification and Assessment Program (RIIA). A methodology for analyzing the short-term air quality impacts of new power plants: issue paper 5
- Author
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Lipfert, F.
- Published
- 1979
- Full Text
- View/download PDF
246. MELCOR validation and verification: 1986 papers
- Author
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Leigh, C [ed.]
- Published
- 1987
- Full Text
- View/download PDF
247. Secret Writing on Dirty Paper: A Deterministic View.
- Author
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El-Halabi, Mustafa, Liu, Tie, Georghiades, Costas N., and Shamai, Shlomo
- Subjects
- *
CRYPTOGRAPHY , *INTERFERENCE channels (Telecommunications) , *CODING theory , *INFORMATION theory , *COMPUTER network security , *MATHEMATICAL models , *VECTOR analysis , *GAUSSIAN processes - Abstract
Recently, there has been a lot of success in using the deterministic approach to provide approximate characterization of Gaussian network capacity. In this paper, we take a deterministic view and revisit the problem of wiretap channel with side information. A precise characterization of the secrecy capacity is obtained for a linear deterministic model, which naturally suggests a coding scheme which we show to achieve the secrecy capacity of the degraded Gaussian model (dubbed as “secret writing on dirty paper”) to within half a bit. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
- Full Text
- View/download PDF
248. On dissipative effects of paper web adhesion strength
- Author
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Edvardsson, S., Gradin, P.A., and Isaksson, P.
- Subjects
- *
ENERGY dissipation , *STRENGTH of materials , *ROLLING (Metalwork) , *ADHESION , *MATHEMATICAL models , *ELASTOPLASTICITY , *EXPERIMENTAL design - Abstract
Abstract: This work is concerned with the adhesion strength between a paper web and a metal roll surface, which is a common situation in paper machines world-wide. It is shown that the classic expression relating the work of adhesion to the peeling angle and web tension is, in general, insufficient. An improved model is suggested to take into account the energy dissipation due to elastic–plastic deformation behavior of wet paper materials. To judge the model, an industrially relevant example of wet newsprint and a mild steel surface is studied. It is found that the agreement between theory and experimental observations is excellent. A key result is that elastic–plastic material behavior must always be included for wet paper materials in peeling processes. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF
249. Mathematics Teachers' Inclusion of Modelling and Problem Posing in Their Mathematics Lessons: An Exploratory Questionnaire
- Author
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Passarella, Simone
- Abstract
In this paper the results of a questionnaire about mathematics teachers' inclusion in their teaching of mathematical modelling and problem posing are presented. To make teachers able to choose a coherent teaching method for a mathematical topic, teachers' knowledge of valuable methods for the teaching of mathematics should be fostered. In this sense, studying teachers' practice of modelling and problem posing is crucial in order to know if and which kind of support and professional development they need on such educational strategies. The questionnaire was administrated to Italian in-service mathematics teachers of primary and secondary school. Findings indicate that despite teachers implement regularly some aspects of mathematical modelling in their lessons, they ask more materials to support their preparation and practice. Problem posing, instead, might be more integrated in the classroom work, and consequently in teachers' professional development courses.
- Published
- 2021
250. Learning Software Development through Modeling Using Object Oriented Approach with Unified Modeling Language: A Case of an Online Interview System
- Author
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Kalinga, Ellen A.
- Abstract
This paper demonstrates the learning of software engineering through modeling using Object-Oriented Analysis and Design approach with Unified Modeling Language. An online interview management system case project to the whole class was used to develop the software requirement specification. Through modelling, the processes to be considered in software development were also elaborated, where it starts with the identification of major or basic processes of the domain of application, followed by the identification of activities to be performed under each basic process and, finally, transforming the activities highlighted in the functional requirements presentation. Modeling was practised by students through group case projects, and students were active, engaging and focusing on the learning process in such a way that more than 85.9% of students had the courage to attempt design questions during university examinations.
- Published
- 2021
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