A novel block cipher involving keys in a key bunch matrix as powers of the pl...eSAT Journals
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Abstract In this analysis, we have developed an asymmetric block cipher which is involving a key bunch matrix A ( = [aij]) in the process of encryption, and B ( = [bij]) in the process of decryption. The keys aij are used as powers of the plaintext elements, and the keys bij are used as the powers of the ciphertext elements. Here, we have made use of Eulerâs totient function and Eulerâs theorem in the development of the cipher. The cryptanalysis clearly shows that the strength of the cipher is quite significant. Keywords: Encryption, Decryption, Key, Plaintext, Cipher text and Cryptanalysis.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
JAVA BASED VISUALIZATION AND ANIMATION FOR TEACHING THE DIJKSTRA SHORTEST PAT...ijseajournal
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Shortest path (SP) algorithms, such as the popular Dijkstra algorithm has been considered as the âbasic
building blocksâ for many advanced transportation network models. Dijkstra algorithm will find the
shortest time (ST) and the corresponding SP to travel from a source node to a destination node.
Applications of SP algorithms include real-time GPS and the Frank-Wolfe network equilibrium.
For transportation engineering students, the Dijkstra algorithm is not easily understood. This paper
discusses the design and development of a software that will help the students to fully understand the key
components involved in the Dijkstra SP algorithm. The software presents an intuitive interface for
generating transportation network nodes/links, and how the SP can be updated in each iteration. The
software provides multiple visual representations of colour mapping and tabular display. The software can
be executed in each single step or in continuous run, making it easy for students to understand the Dijkstra
algorithm. Voice narratives in different languages (English, Chinese and Spanish) are available.A demo
video of the Dijkstra Algorithmâs animation and result can be viewed online from any web browser using
the website: http://www.lions.odu.edu/~imako001/dijkstra/demo/index.html.
A novel block cipher involving keys in a key bunch matrix as powers of the pl...eSAT Journals
Â
Abstract In this analysis, we have developed an asymmetric block cipher which is involving a key bunch matrix A ( = [aij]) in the process of encryption, and B ( = [bij]) in the process of decryption. The keys aij are used as powers of the plaintext elements, and the keys bij are used as the powers of the ciphertext elements. Here, we have made use of Eulerâs totient function and Eulerâs theorem in the development of the cipher. The cryptanalysis clearly shows that the strength of the cipher is quite significant. Keywords: Encryption, Decryption, Key, Plaintext, Cipher text and Cryptanalysis.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
JAVA BASED VISUALIZATION AND ANIMATION FOR TEACHING THE DIJKSTRA SHORTEST PAT...ijseajournal
Â
Shortest path (SP) algorithms, such as the popular Dijkstra algorithm has been considered as the âbasic
building blocksâ for many advanced transportation network models. Dijkstra algorithm will find the
shortest time (ST) and the corresponding SP to travel from a source node to a destination node.
Applications of SP algorithms include real-time GPS and the Frank-Wolfe network equilibrium.
For transportation engineering students, the Dijkstra algorithm is not easily understood. This paper
discusses the design and development of a software that will help the students to fully understand the key
components involved in the Dijkstra SP algorithm. The software presents an intuitive interface for
generating transportation network nodes/links, and how the SP can be updated in each iteration. The
software provides multiple visual representations of colour mapping and tabular display. The software can
be executed in each single step or in continuous run, making it easy for students to understand the Dijkstra
algorithm. Voice narratives in different languages (English, Chinese and Spanish) are available.A demo
video of the Dijkstra Algorithmâs animation and result can be viewed online from any web browser using
the website: http://www.lions.odu.edu/~imako001/dijkstra/demo/index.html.
ENCRYPTION USING LESTER HILL CIPHER ALGORITHMAM Publications
Â
The Hill cipher algorithm is one of the symmetrickey algorithms that have several advantages in data
encryption as well as decryptions. But, the inverse of the key matrix used for encrypting the plaintext does not always
exist. Then if the key matrix is not invertible, then encrypted text cannot be decrypted. In the Involuntary matrix
generation method the key matrix used for the encryption is itself invertible. So, at the time of decryption we need not to
find the inverse of the key matrix. The objective of this paper is to encrypt an text using a technique different from the
conventional Hill Cipher
Comparative Analysis of Efficient Designs of D Latch using 32nm CMOS Technologyijtsrd
Â
In this paper we have proposed various efficient designs of low power D latch using 32nm CMOS technology. We have designed and simulated these circuits in HSpice simulation tool. In this simulation we have modified W L ratio of each transistor in each circuit. We have taken power supply of 0.9V. We have calculated average power consumed propagation delay and power delay product. Tanusha Beni Vyas | Shubhash Chandra "Comparative Analysis of Efficient Designs of D- Latch using 32nm CMOS Technology" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd26707.pdf Paper URL: https://www.ijtsrd.com/engineering/computer-engineering/26707/comparative-analysis-of-efficient-designs-of-d--latch-using-32nm-cmos-technology/tanusha-beni-vyas
It is well known that the tenacity is a proper measure for studying vulnerability and reliability in graphs.
Here, a modified edge-tenacity of a graph is introduced based on the classical definition of tenacity.
Properties and bounds for this measure are introduced; meanwhile edge-tenacity is calculated for cycle
graphs and also for complete graphs.
STATE SPACE GENERATION FRAMEWORK BASED ON BINARY DECISION DIAGRAM FOR DISTRIB...csandit
Â
This paper proposes a new framework based on Binary Decision Diagrams (BDD) for the graph distribution problem in the context of explicit model checking. The BDD are yet used to represent the state space for a symbolic verification model checking. Thus, we took advantage of high compression ratio of BDD to encode not only the state space, but also the place where each state will be put. So, a fitness function that allows a good balance load of states over the nodes of an homogeneous network is used. Furthermore, a detailed explanation of how to
calculate the inter-site edges between different nodes based on the adapted data structure is presented
STATE SPACE GENERATION FRAMEWORK BASED ON BINARY DECISION DIAGRAM FOR DISTRIB...cscpconf
Â
This paper proposes a new framework based on Binary Decision Diagrams (BDD) for the graph distribution problem in the context of explicit model checking. The BDD are yet used to represent the state space for a symbolic verification model checking. Thus, we took advantage of high compression ratio of BDD to encode not only the state space, but also the place where each state will be put. So, a fitness function that allows a good balance load of states over the nodes of an homogeneous network is used. Furthermore, a detailed explanation of how to calculate the inter-site edges between different nodes based on the adapted data structure is presented.
Image Steganography Based On Non Linear Chaotic AlgorithmIJARIDEA Journal
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Abstractâ Late inquires about of picture steganography have been progressively in light of clamorous frameworks, yet the disadvantages of little key space and powerless security in one-dimensional disorderly cryptosystems are self-evident. This paper presents steganography with nonlinear riotous calculation (NCA) which utilizes control capacity and digression work rather than straight capacity. Its basic parameters are acquired by test examination. The message with the key is then consolidated with the cover picture utilizing LSB installing and discrete cosine change.
Keywordsâ Discrete Cosine Transform, LSB Embedding, Nonlinear Chaotic Algorithm, Steganography, Stego Image.
IJERA (International journal of Engineering Research and Applications) is International online, ... peer reviewed journal. For more detail or submit your article, please visit www.ijera.com
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
In this paper microstrip patch antenna is designed for 2.4GHz frequency. For the antenna miniaturization and bandwidth improvement H-shaped DGS on microstrip patch antenna (MSA) is used. The design of DGS has been analyzed for different dimensions of H-slot and achieved optimized dimensions.The simulation process has been done through Finite Element Machine (FEM) based software High Frequency Structure Simulator ( HFSS) software. The properties of antenna such as reflection co-efficient, bandwidth and gain are determined and compared with the properties of single element square patch antenna.Further proposed antennas performance is studied for different size of defect on the same patch antenna. Proposed antenna finds its application in wireless LAN protocols such as Bluetooth, IEEE 802.11 and in 2.4GHz ISM Band.
New Design Architecture of Chaotic Secure Communication System Combined with ...ijtsrd
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In this paper, the exponential synchronization of secure communication system is introduced and a novel secure communication design combined with linear receiver is constructed to ensure the global exponential stability of the resulting error signals. Besides, the guaranteed exponential convergence rate of the proposed secure communication system can be correctly calculated. Finally, some numerical simulations are offered to demonstrate the correctness and feasibility of the obtained results. Yeong-Jeu Sun "New Design Architecture of Chaotic Secure Communication System Combined with Linear Receiver" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, URL: https://www.ijtsrd.com/papers/ijtsrd38214.pdf Paper URL : https://www.ijtsrd.com/engineering/electrical-engineering/38214/new-design-architecture-of-chaotic-secure-communication-system-combined-with-linear-receiver/yeongjeu-sun
This research aims to implement CORDIC Algorithm for WLAN. The design is coded using VHDL language and for the hardware implementation XILINX Spartan-3FPGA is used. VHDL implementation is based on results obtained from Xilinx ISE simulation.
ENHANCEMENT OF TRANSMISSION RANGE ASSIGNMENT FOR CLUSTERED WIRELESS SENSOR NE...IJCNCJournal
Â
Transmitter range assignment in clustered wireless networks is the bottleneck of the balance between
energy conservation and the connectivity to deliver data to the sink or gateway node. The aim of this
research is to optimize the energy consumption through reducing the transmission ranges of the nodes,
while maintaining high probability to have end-to-end connectivity to the networkâs data sink. We modified
the approach given in [1] to achieve more than 25% power saving through reducing cluster head (CH)
transmission range of the backbone nodes in a multihop wireless sensor network with ensuring at least
95% end-to-end connectivity probability.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
ENCRYPTION USING LESTER HILL CIPHER ALGORITHMAM Publications
Â
The Hill cipher algorithm is one of the symmetrickey algorithms that have several advantages in data
encryption as well as decryptions. But, the inverse of the key matrix used for encrypting the plaintext does not always
exist. Then if the key matrix is not invertible, then encrypted text cannot be decrypted. In the Involuntary matrix
generation method the key matrix used for the encryption is itself invertible. So, at the time of decryption we need not to
find the inverse of the key matrix. The objective of this paper is to encrypt an text using a technique different from the
conventional Hill Cipher
Comparative Analysis of Efficient Designs of D Latch using 32nm CMOS Technologyijtsrd
Â
In this paper we have proposed various efficient designs of low power D latch using 32nm CMOS technology. We have designed and simulated these circuits in HSpice simulation tool. In this simulation we have modified W L ratio of each transistor in each circuit. We have taken power supply of 0.9V. We have calculated average power consumed propagation delay and power delay product. Tanusha Beni Vyas | Shubhash Chandra "Comparative Analysis of Efficient Designs of D- Latch using 32nm CMOS Technology" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-3 | Issue-5 , August 2019, URL: https://www.ijtsrd.com/papers/ijtsrd26707.pdf Paper URL: https://www.ijtsrd.com/engineering/computer-engineering/26707/comparative-analysis-of-efficient-designs-of-d--latch-using-32nm-cmos-technology/tanusha-beni-vyas
It is well known that the tenacity is a proper measure for studying vulnerability and reliability in graphs.
Here, a modified edge-tenacity of a graph is introduced based on the classical definition of tenacity.
Properties and bounds for this measure are introduced; meanwhile edge-tenacity is calculated for cycle
graphs and also for complete graphs.
STATE SPACE GENERATION FRAMEWORK BASED ON BINARY DECISION DIAGRAM FOR DISTRIB...csandit
Â
This paper proposes a new framework based on Binary Decision Diagrams (BDD) for the graph distribution problem in the context of explicit model checking. The BDD are yet used to represent the state space for a symbolic verification model checking. Thus, we took advantage of high compression ratio of BDD to encode not only the state space, but also the place where each state will be put. So, a fitness function that allows a good balance load of states over the nodes of an homogeneous network is used. Furthermore, a detailed explanation of how to
calculate the inter-site edges between different nodes based on the adapted data structure is presented
STATE SPACE GENERATION FRAMEWORK BASED ON BINARY DECISION DIAGRAM FOR DISTRIB...cscpconf
Â
This paper proposes a new framework based on Binary Decision Diagrams (BDD) for the graph distribution problem in the context of explicit model checking. The BDD are yet used to represent the state space for a symbolic verification model checking. Thus, we took advantage of high compression ratio of BDD to encode not only the state space, but also the place where each state will be put. So, a fitness function that allows a good balance load of states over the nodes of an homogeneous network is used. Furthermore, a detailed explanation of how to calculate the inter-site edges between different nodes based on the adapted data structure is presented.
Image Steganography Based On Non Linear Chaotic AlgorithmIJARIDEA Journal
Â
Abstractâ Late inquires about of picture steganography have been progressively in light of clamorous frameworks, yet the disadvantages of little key space and powerless security in one-dimensional disorderly cryptosystems are self-evident. This paper presents steganography with nonlinear riotous calculation (NCA) which utilizes control capacity and digression work rather than straight capacity. Its basic parameters are acquired by test examination. The message with the key is then consolidated with the cover picture utilizing LSB installing and discrete cosine change.
Keywordsâ Discrete Cosine Transform, LSB Embedding, Nonlinear Chaotic Algorithm, Steganography, Stego Image.
IJERA (International journal of Engineering Research and Applications) is International online, ... peer reviewed journal. For more detail or submit your article, please visit www.ijera.com
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
In this paper microstrip patch antenna is designed for 2.4GHz frequency. For the antenna miniaturization and bandwidth improvement H-shaped DGS on microstrip patch antenna (MSA) is used. The design of DGS has been analyzed for different dimensions of H-slot and achieved optimized dimensions.The simulation process has been done through Finite Element Machine (FEM) based software High Frequency Structure Simulator ( HFSS) software. The properties of antenna such as reflection co-efficient, bandwidth and gain are determined and compared with the properties of single element square patch antenna.Further proposed antennas performance is studied for different size of defect on the same patch antenna. Proposed antenna finds its application in wireless LAN protocols such as Bluetooth, IEEE 802.11 and in 2.4GHz ISM Band.
New Design Architecture of Chaotic Secure Communication System Combined with ...ijtsrd
Â
In this paper, the exponential synchronization of secure communication system is introduced and a novel secure communication design combined with linear receiver is constructed to ensure the global exponential stability of the resulting error signals. Besides, the guaranteed exponential convergence rate of the proposed secure communication system can be correctly calculated. Finally, some numerical simulations are offered to demonstrate the correctness and feasibility of the obtained results. Yeong-Jeu Sun "New Design Architecture of Chaotic Secure Communication System Combined with Linear Receiver" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-5 | Issue-1 , December 2020, URL: https://www.ijtsrd.com/papers/ijtsrd38214.pdf Paper URL : https://www.ijtsrd.com/engineering/electrical-engineering/38214/new-design-architecture-of-chaotic-secure-communication-system-combined-with-linear-receiver/yeongjeu-sun
This research aims to implement CORDIC Algorithm for WLAN. The design is coded using VHDL language and for the hardware implementation XILINX Spartan-3FPGA is used. VHDL implementation is based on results obtained from Xilinx ISE simulation.
ENHANCEMENT OF TRANSMISSION RANGE ASSIGNMENT FOR CLUSTERED WIRELESS SENSOR NE...IJCNCJournal
Â
Transmitter range assignment in clustered wireless networks is the bottleneck of the balance between
energy conservation and the connectivity to deliver data to the sink or gateway node. The aim of this
research is to optimize the energy consumption through reducing the transmission ranges of the nodes,
while maintaining high probability to have end-to-end connectivity to the networkâs data sink. We modified
the approach given in [1] to achieve more than 25% power saving through reducing cluster head (CH)
transmission range of the backbone nodes in a multihop wireless sensor network with ensuring at least
95% end-to-end connectivity probability.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Similar to An Approach Of Graph Theory On Cryptography (20)
Instructions for Submissions thorugh G- Classroom.pptxJheel Barad
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This presentation provides a briefing on how to upload submissions and documents in Google Classroom. It was prepared as part of an orientation for new Sainik School in-service teacher trainees. As a training officer, my goal is to ensure that you are comfortable and proficient with this essential tool for managing assignments and fostering student engagement.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Acetabularia Information For Class 9 .docxvaibhavrinwa19
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Acetabularia acetabulum is a single-celled green alga that in its vegetative state is morphologically differentiated into a basal rhizoid and an axially elongated stalk, which bears whorls of branching hairs. The single diploid nucleus resides in the rhizoid.
Model Attribute Check Company Auto PropertyCeline George
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In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
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The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesarâs dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empireâs birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empireâs society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
How to Make a Field invisible in Odoo 17Celine George
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It is possible to hide or invisible some fields in odoo. Commonly using âinvisibleâ attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
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Francesca Gottschalk from the OECDâs Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
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http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasnât one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
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This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com