Academic literature on the topic 'Combinatorial teaching'

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Journal articles on the topic "Combinatorial teaching"

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Ďuriš, Viliam, Gabriela Pavlovičová, Dalibor Gonda, and Anna Tirpáková. "Teaching Combinatorial Principles Using Relations through the Placemat Method." Mathematics 9, no. 15 (2021): 1825. http://dx.doi.org/10.3390/math9151825.

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The presented paper is devoted to an innovative way of teaching mathematics, specifically the subject combinatorics in high schools. This is because combinatorics is closely connected with the beginnings of informatics and several other scientific disciplines such as graph theory and complexity theory. It is important in solving many practical tasks that require the compilation of an object with certain properties, proves the existence or non-existence of some properties, or specifies the number of objects of certain properties. This paper examines the basic combinatorial structures and presen
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Ji, Cheng. "On The Improvement of Combinatorial Mathematics Teaching From Generating Function." Computer and Information Science 10, no. 2 (2017): 104. http://dx.doi.org/10.5539/cis.v10n2p104.

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Generating function is an effective method to solve combinatorial counting problem, but it most likely to be neglected in combinatorial mathematics teaching. In this paper, we provides a demonstration for combinatorial mathematics teaching improvement by using the generating function solving combination number and the sum of preceding terms among sequence of numbers.
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Qurbanova, Xatira. "Teaching of combinatorial elements in primary school." SCIENTIFIC WORK 47, no. 8 (2019): 127–30. http://dx.doi.org/10.36719/2663-4619-2019-47-8-127-130.

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Li, Jianying, Zhe Zhou, and Liying Wang. "A Multi-task Combinatorial Optimization Model Based on Genetic Algorithm and its Application in College Education Curriculum Planning." International Journal of Emerging Technologies in Learning (iJET) 10, no. 8 (2015): 38. http://dx.doi.org/10.3991/ijet.v10i8.5218.

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Multi-task combinatorial optimization of a complex system is an important aspect of multi-task planning. To address the existing defects and limitations of the existing multi-task combinatorial optimization methods, the paper proposes a multi-task combinatorial model based on genetic algorithm. As a complex multi-task combinatorial optimization, the curriculum planning for higher education applies to itself the multi-task combinatorial model, which is based on genetic algorithm. Having fully considered such factors as teaching resources distribution, students’ intention and teachers’ intention
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Sriraman, Bharath, and Lyn D. English. "Connecting Research to Teaching: Combinatorial Mathematics: Research into Practice." Mathematics Teacher 98, no. 3 (2004): 182–91. http://dx.doi.org/10.5951/mt.98.3.0182.

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For many students, combinatorics is associated with negative experiences calculating permutations and combinations, often confusing one with the other. What exactly is combinatorics? Combinatorics can be defined as the art of counting, or more specifically, as “an area of mathematics in which we study families of sets (usually finite) with certain characteristic arrangements of their elements or subsets, and ask what combinations are possible and how many there are” (Rusin 2002).
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Morozov, A. V. "TEACHING STUDENTS TO SOLVE COMBINATORIAL PROBLEMS USING GENERATING FUNCTIONS." Современные проблемы науки и образования (Modern Problems of Science and Education), no. 4 2020 (2020): 74. http://dx.doi.org/10.17513/spno.30074.

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Reyes, Miguel, and Agueda Mata. "Games developed in Java for teaching "Combinatorial Game Theory"." ACM SIGCSE Bulletin 40, no. 3 (2008): 359. http://dx.doi.org/10.1145/1597849.1384401.

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Madaminova, D. "Features of teaching combinatorial elements in primary school mathematics." ACADEMICIA: AN INTERNATIONAL MULTIDISCIPLINARY RESEARCH JOURNAL 11, no. 1 (2021): 1127–31. http://dx.doi.org/10.5958/2249-7137.2021.00255.x.

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Dolinsky, M. S. "GENERATING COMBINATORIAL OBJECTS USING RECURSIVE PROCEDURES AND FUNCTIONS." Informatics in school, no. 4 (June 23, 2019): 59–63. http://dx.doi.org/10.32517/2221-1993-2019-18-4-59-63.

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The article describes the methodology to solve problems of Olympiads in informatics generating combinatorial objects using recursion. Distance learning system DL.GSU.BY is the effective technical base for teaching.
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Zettam, Manal. "A Discrete Teaching Learning Based Optimization Algorithm for Combinatorial Optimization Problems." International Review on Modelling and Simulations (IREMOS) 11, no. 1 (2018): 32. http://dx.doi.org/10.15866/iremos.v11i1.12788.

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Dissertations / Theses on the topic "Combinatorial teaching"

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Silva, Carina Brunehilde Pinto da. "Combinatorial analysis: focusing on teaching problem solving." Universidade Federal do CearÃ, 2013. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=10084.

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A AnÃlise CombinatÃria à o conjunto de tÃcnicas para a resoluÃÃo de problemas de contagem. à usada quando à preciso conhecer a quantidade de elementos de um conjunto finito, sem necessidade de elencar cada um. Neste trabalho, discute-se a maneira como este assunto tÃo importante à apresentado para os alunos que cursam o Ensino MÃdio, a fim de aprimorÃ-la. Ao final do trabalho, à sugerido um software educacional, de prÃpria autoria, capaz de resolver problemas de contagem, com a finalidade de auxiliar e dinamizar o desempenho do professor em sala de aula.<br>The Combinatory Analysis is the tech
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Lockwood, Elise Nicole. "Student Approaches to Combinatorial Enumeration: The Role of Set-Oriented Thinking." PDXScholar, 2011. https://pdxscholar.library.pdx.edu/open_access_etds/338.

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Combinatorics is a growing topic in mathematics with widespread applications in a variety of fields. Because of this, it has become increasingly prominent in both K-12 and undergraduate curricula. There is a clear need in mathematics education for studies that address cognitive and pedagogical issues surrounding combinatorics, particularly related to students' conceptions of combinatorial ideas. In this study, I describe my investigation of students' thinking as it relates to counting problems. I interviewed a number of post-secondary students as they solved a variety of combinatorial tasks, a
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Hacker, Charles Hilton, and n/a. "WinLogiLab - A Computer-Based Teaching Suite for Digital Logic Design." Griffith University. School of Engineering, 2001. http://www4.gu.edu.au:8080/adt-root/public/adt-QGU20050915.172404.

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This thesis presents an interactive computerised teaching suite developed for the design of combinatorial and sequential logic circuits. This suite fills a perceived gap in the currently available computer-based teaching software for digital logic design. Several existing digital logic educational software are available, however these existing programs were found to be unsuitable for our use in providing alternative mode subject delivery. This prompted the development of a Microsoft Windows TM tutorial suite, called WinLogiLab. WinLogiLab comprises of a set of tutorials that uses student provi
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Ambrozi, Luiz. "Jogos em uma sequência didática para o ensino de análise combinatória." reponame:Repositório Institucional da UCS, 2017. https://repositorio.ucs.br/handle/11338/3450.

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Neste trabalho desenvolve-se uma proposta de ensino para aprimorar o raciocínio combinatório, através da utilização de jogos no planejamento, na aplicação e avaliação de uma sequência didática inspirada nas orientações de Zabala, para subsidiar a prática docente no ensino de Análise Combinatória. A dissertação relata uma pesquisa que teve o intuito de explorar conceitos combinatórios por meio de atividades diversificadas, envolvendo recursos digitais, jogos e estudos orientados, a fim de fortalecer e diversificar o ensino e a aprendizagem deste conteúdo, procurando tornar as aulas mais atrativ
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Mastropaulo, Neto Vicente 1969. "Combinatória e probabilidade com aplicações no ensino de geometria." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306097.

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Orientador: Antônio Carlos do Patrocinio<br>Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-25T09:32:43Z (GMT). No. of bitstreams: 1 MastropauloNeto_Vicente_M.pdf: 1971257 bytes, checksum: 1c78e3e9085d370b2a40221cbcfe39a5 (MD5) Previous issue date: 2014<br>Resumo: Este trabalho aborda o tema Combinatória e Probabilidade com aplicações no ensino de Geometria e tem como objetivo principal servir de apoio aos professores de Matemática da escola básica, fornecendo sugestões
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BENIGNO, Make Bruno Silva. "Resolução de problemas em análise combinatória: uma abordagem no ensino básico." Universidade Federal do Maranhão, 2017. https://tedebc.ufma.br/jspui/handle/tede/tede/2008.

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Submitted by Daniella Santos (daniella.santos@ufma.br) on 2017-11-23T11:57:53Z No. of bitstreams: 1 MAKEBENIGNO.pdf: 503602 bytes, checksum: 341b1fad0eebf1c68b8ab490776354c0 (MD5)<br>Made available in DSpace on 2017-11-23T11:57:53Z (GMT). No. of bitstreams: 1 MAKEBENIGNO.pdf: 503602 bytes, checksum: 341b1fad0eebf1c68b8ab490776354c0 (MD5) Previous issue date: 2017-03-06<br>This work will present the importance of combinatorial analysis, both in middle school and elementary school. We will list several exemples of problems involving combinatorial analysis and we will see how the subject and
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Lima, Wanessa Aparecida Trevizan de. "Ensinando matemática por meio de situações potencialmente adidáticas: estudo de casos envolvendo análise combinatória." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/45/45135/tde-24092015-171120/.

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Diante de um cenário de contradições do atual ensino da Matemática, no qual a prática tem se revelado insatisfatória para se alcançar os objetivos declarados para tal disciplina em documentos oficiais, sugerimos a situação adidática, um conceito da Teoria das Situações de Brousseau (1933-), como ferramenta para uma aprendizagem matemática mais autônoma, ou seja, uma aprendizagem que possibilite o desenvolvimento de habilidades investigativas, interpretativas, críticas e criativas. A Teoria das Situações, elaborada pelo pesquisador francês Brousseau, é uma ferramenta de análise. Desse modo, a s
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Rodrigues, Júlio César Prado Souza. "Introdução ao estudo de funções geradoras." Universidade Federal de Goiás, 2018. http://repositorio.bc.ufg.br/tede/handle/tede/8566.

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Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-06-11T14:22:11Z No. of bitstreams: 2 Dissertação - Júlio César Prado Souza Rodrigues - 2018.pdf: 2605714 bytes, checksum: 66d166b7f935c98e7035a80c4ad2106b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-06-11T15:51:55Z (GMT) No. of bitstreams: 2 Dissertação - Júlio César Prado Souza Rodrigues - 2018.pdf: 2605714 bytes, checksum: 66d166b7f935c98e7035a80c4ad2106b (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e980099
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Bassan, Débora Regina. "Elementos de análise combinatória no ensino fundamental : uma abordagem com mágicas e resolução de problemas." Universidade Federal de São Carlos, 2016. https://repositorio.ufscar.br/handle/ufscar/8086.

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Submitted by Livia Mello (liviacmello@yahoo.com.br) on 2016-10-10T18:56:26Z No. of bitstreams: 1 DissDRB.pdf: 4725235 bytes, checksum: 58c4238ba8671000419655dab60c75f8 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-10-20T19:54:33Z (GMT) No. of bitstreams: 1 DissDRB.pdf: 4725235 bytes, checksum: 58c4238ba8671000419655dab60c75f8 (MD5)<br>Approved for entry into archive by Marina Freitas (marinapf@ufscar.br) on 2016-10-20T19:54:39Z (GMT) No. of bitstreams: 1 DissDRB.pdf: 4725235 bytes, checksum: 58c4238ba8671000419655dab60c75f8 (MD5)<br>Made available
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Bezerra, Jos? Rauryson Alves. "Uma ferramenta did?tica para ajudar na fixa??o dos conceitos introdut?rios de an?lise combinat?ria." Universidade Federal do Rio Grande do Norte, 2013. http://repositorio.ufrn.br:8080/jspui/handle/123456789/18656.

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Made available in DSpace on 2015-03-03T15:36:09Z (GMT). No. of bitstreams: 1 JoseRAB_DISSERT.pdf: 776491 bytes, checksum: bef691e2a550b6345b490b668bd8cb38 (MD5) Previous issue date: 2013-02-22<br>Coordena??o de Aperfei?oamento de Pessoal de N?vel Superior<br>Humans, as well as some animals are born gifted with the ability to perceive quantities. The needs that came from the evolution of societies and technological resources make the the optimization of such counting methods necessary. Although necessary and useful, there are a lot of diculties in the teaching of such methods.In order to broa
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Books on the topic "Combinatorial teaching"

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Servatius, Brigitte. Rigidity & braced grids. COMAP, 1995.

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Shapiro, Helene. Linear Algebra And Matrices: Topics For A Second Course. American Mathematical Society, 2015.

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Kilkelly, Thomas. The ARML power contest. MSRI Mathematical Sciences Research Institute, 2014.

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1962-, Sturmfels Bernd, ed. Introduction to tropical geometry. American Mathematical Society, 2015.

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Combinatorics and Reasoning Mathematics Education Library. Springer, 2011.

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Schrage. Analyzing Subject Matter: Fundamental Ideas of Combinatorics. Pearson Education, 1996.

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Book chapters on the topic "Combinatorial teaching"

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Müller-Merbach, H. "The Role of Puzzles in Teaching Combinatorial Programming." In Combinatorial Programming: Methods and Applications. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-7557-9_23.

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Hegedüs, Tibor. "Combinatorial results on the complexity of teaching and learning." In Mathematical Foundations of Computer Science 1994. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/3-540-58338-6_86.

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Arkhipova, Elena I., and Marina V. Vlavatskaya. "Combinatorial Linguodidactics as a New Direction in the Methodology of Foreign Language Teaching." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11473-2_11.

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"Probability and Combinatorics." In Examining an Operational Approach to Teaching Probability. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-3871-5.ch004.

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Combinatorial calculus is a branch of mathematics oriented to determine the number of distinct cases that can occur in an experiment or the number of elements that make up a set. One question often remains open in the debate about the role of combinatorics: Does the introduction of combinatorics in school teaching have an autonomous mathematical value or is it a simple tool for teaching probability? Problems of a combinatory nature can be found in many areas of mathematics, but in this chapter, emphasis will be placed on a limited circle of topics with a close link to probability. The objects presented will serve as an introduction to situations that technically relate to permutations and combinations.
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Connelly, Stephen. "A New Method of Teaching Law." In Leibniz: A Contribution to the Archaeology of Power. Edinburgh University Press, 2021. http://dx.doi.org/10.3366/edinburgh/9781474418065.003.0007.

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Leibniz’s New Method of Teaching and Learning the Law is examined in light of his combinatorial investigations and his theory of the suppositum as activity, and will as driven by claims to existence. A new reading is offered which emphasises the different levels played by the New and Old Law in his thinking about how lawyers should think.
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Nguyen, Khai Phuc, Dieu Ngoc Vo, and Goro Fujita. "Hybrid Cuckoo Search Algorithm for Optimal Placement and Sizing of Static VAR Compensator." In Handbook of Research on Modern Optimization Algorithms and Applications in Engineering and Economics. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9644-0.ch011.

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This chapter proposes a Hybrid Cuckoo search algorithm to determine optimal location and sizing of Static VAR Compensator (SVC). Hybrid Cuckoo search algorithm is a simple combination of the Cuckoo search algorithm (CSA) and Teaching-learning-based optimization (TLBO), where the learner phase of TLBO is added to improve performance of Cuckoo eggs. The proposed method is applied for optimizing location and sizing of SVC in electric power system. This problem is a kind of discrete and combinatorial problem. The objective function considers loss power, voltage deviation and operational cost of SVC and other operating constraints in power system. Numerical results from three various tested systems show that the proposed method is better than the conventional CSA and TLBO in finding the global optimum solutions and its performance is also high than others.
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Vancsó, Ödön, and Eszter Varga. "Kannst du das System schlagen? Wetten im Sport als Kontext für die Kombination der Ideen der klassischen, statistischen und subjektivistischen Wahrscheinlichkeit." In Komplexer Mathematikunterricht. Die Ideen von Tamás Varga in aktueller Sicht. WTM-Verlag Münster, 2020. http://dx.doi.org/10.37626/ga9783959871648.0.22.

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The motivational value of the context is clearly demonstrated by students in classroom situations posing the title question. This excellent real-life question triggered the design of a special instructional sequence culminating in the addressed problem and aiming to combine different approaches to probability. Considering students’ usual struggle with the field, this attempt may prove valuable. As in the history of Stochastics, investigating the rationality behind the system of odds requires parallel handling of chances and expected value, and can lead to a deeper understanding of complex mathematical models. Recently, Series of Problems have been in the center of attention of the Complex Mathematics Education Research Project in general, as an important characteristic of the Hungarian Guided Discovery approach. Our design roots in this highly problem based tradition and adopts some of Tamás Varga’s ideas in instruction. In our paper, the details and structure of the designed teaching material will be displayed utilizing the tools of this research. Following centuries of tradition, sports betting is flourishing nowadays, particularly benefitting from the opportunities of online forums. Providing entertainment for many, it has great motivational value for students, who often pose the particular question in the title. This question is spot-on: gambling is a highly regulated, nevertheless always lucrative market. From an educational point of view, sports betting gives us a more complex perspective on probability than combinatorial games. History and teaching practice both suggest that the concept of probability bears serious cognitive load, and students often burdened with biases that makes the heart of the concept elude them. Furthermore, instruction sometimes lacks the adequate means to harmonize even the correctly introduced aspects of probability, leaving the students with either fragmented or contradicting ideas. In our paper we will make an attempt to connect the classical (laplacian), statistical (frequentistical) and subjectivistic (bayesian) approaches of probability through a gradually constructed task sequence organized around sports betting. We hypothesize that the investigation of the rationality of odds can foster a more integrated understanding of the concepts probability and expected value. Classification: D40, M10, K50, U30, U40, U60. Keywords: probability, expected value, risk, problem-solving, problem series, modeling, teaching process
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Conference papers on the topic "Combinatorial teaching"

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Reyes, Miguel, and Agueda Mata. "Games developed in Java for teaching "Combinatorial Game Theory"." In the 13th annual conference. ACM Press, 2008. http://dx.doi.org/10.1145/1384271.1384401.

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Yang, Benchao, Guang Zeng, and Gang Yu. "Building Smart Classroom of Combinatorial Mathematics Based on PBL Teaching Model." In 2019 10th International Conference on Information Technology in Medicine and Education (ITME). IEEE, 2019. http://dx.doi.org/10.1109/itme.2019.00075.

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Ignatiev, Mikhail B., Alexander E. Karlik, Elena A. Iakovleva, and Vladimir V. Platonov. "Linguo-Combinatorial Model for Diagnosing the State of Human Resources in the Digital Economy." In 2018 XVII Russian Scientific and Practical Conference on Planning and Teaching Engineering Staff for the Industrial and Economic Complex of the Region (PTES). IEEE, 2018. http://dx.doi.org/10.1109/ptes.2018.8604217.

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Abramov, Binyamin, Vladimir Ostrovsky, and Ronen Poltek. "Teaching Reconfigurable Systems by RAM-Based FSM Designing." In ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2008. http://dx.doi.org/10.1115/esda2008-59098.

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Reconfigurable systems have the potential to boost hardware performance, efficiency and to stimulate development activity by enabling designers to work with flexible “modeling clay”, rather than with fixed units of hardware. One of the design issues not widely covered in current Advanced Logic Design courses is the issue of reconfigurable systems design. The proposed pedagogical approach enables the achievement of reconfigurable electronic systems representations through Finite State Machine (FSM), and may be helpful for teaching disciplines, in subjects such as reconfigurable computing and ad
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Pokorny, M. "Experience with e-learning in Teaching Combinatorics and Data Processing." In 2020 43rd International Convention on Information, Communication and Electronic Technology (MIPRO). IEEE, 2020. http://dx.doi.org/10.23919/mipro48935.2020.9245319.

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Guseva, Alla H. "STUDYING A MODULAR SOFTWARE: FROM A COMBINATORAL METHODS TO THE PRACTICE OF TEACHING TRANSLATION." In Current Issues in Modern Linguistics and Humanities. Peoples' Friendship University of Russia, 2019. http://dx.doi.org/10.22363/09321-2019-193-205.

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de Oliveira Brandao, Leonidas, and Alexandre Luis Kundrat Eisenmann. "Work in progress: iComb Project - a mathematical widget for teaching and learning combinatorics through exercises." In 2009 39th IEEE Frontiers in Education Conference. Imagining and Engineering Future CSET Education (FIE 2009). IEEE, 2009. http://dx.doi.org/10.1109/fie.2009.5350484.

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