Mathematics and algorithms have a common history dating back to ancient times. Since the beginnin... more Mathematics and algorithms have a common history dating back to ancient times. Since the beginning of mathematics, with the theorems, concepts, and definitions of mathematics, we also find algorithms that accompany many of the oldest proofs of mathematics, such as Euclid's Algorithm, the Sieve of Eratosthenes, etc. Mathematics and algorithms are two highly intertwined disciplines that form the backbone of today's modern science and technology. While mathematics provides the theoretical framework for understanding abstract concepts and solving complex problems, algorithms provide practical methods for applying mathematical ideas and solving real-world problems efficiently. Nowadays, with the rapid development of technology, the advancement of computing skills, and the use of artificial intelligence, mathematics is helping the development of algorithms, and algorithms are also helping mathematicians understand the most complex and difficult mathematical problems, including working on conjectures. In the process of developing a computer program, for example, Python, it is very important for students to understand that everything starts with math and reasoning to reach a clear and complete understanding of the problem, then the process of solving the problem and writing codes in any language, Python, Java, C++, Basic, etc. In this article, we will consider one of the oldest and most popular problems in mathematics, the Euclidean algorithm, solved in different Python programs to check the complexity time for each and encourage students to do creative programming.
Mathematics education traditionally focuses on teaching students' fundamental concepts and proble... more Mathematics education traditionally focuses on teaching students' fundamental concepts and problem-solving techniques within the confines of the classroom. Homework assignments typically involve practicing problems from the textbook or applying learned methods to new problems. However, extending math homework beyond these traditional exercises-by incorporating research, collection, and proofs of theorems, preferably the classic ones offer students a deeper understanding of mathematical concepts and their historical context. This approach not only enriches their learning experience but also fosters critical thinking, problem-solving skills, and a genuine appreciation for mathematics. This article explores the benefits and strategies for extending math, algorithms and coding education through these methods, highlighting how they contribute to a more comprehensive and meaningful learning experience.
Abstract: Tourism today is considered a powerful force for economic growth and the promotion... more Abstract: Tourism today is considered a powerful force for economic growth and the promotion of cultural
diversity at a global level. With a wide reach across different countries, tourism not only contributes to the
state's income but also creates a platform for cultural exchange and international cooperation. The tourism
sector creates jobs for hundreds of thousands of people, including various services such as accommodation,
restaurants, travel agencies, and transport services. This encourages the creation of local businesses and
increased economic activity, contributing to the reduction of unemployment and increased fiscal revenue
for the government. With the growing interest in Albania as a tourist destination, it is imperative to assess
the quality of services offered to meet the evolving demands of travelers. This research presents a
comprehensive survey-based analysis of tourism services in Albania, aimed at understanding the
perceptions and satisfaction levels of tourists visiting the country. The analysis is conducted through a 5point
Likert
scale
survey,
assessing
the
opinions
and
preferences
of
tourists,
and
analyzing
and
interpreting
with
SPSS.
Respondents'
experiences
were
assessed across a range of tourism service aspects, including
accommodation, transportation, culinary offerings, and recreational activities, the tourists' perception of the
country's cultural heritage, natural attractions, and overall destination appeal. Key findings from the survey
indicate that tourists are drawn to Albania for its breathtaking landscapes, historical landmarks, and vibrant
local culture. Positive evaluations are observed regarding hospitality and warmth extended by locals,
contributing to overall visitor satisfaction.
Throughout history, humanity has been driven by an innate curiosity to explore beyond established... more Throughout history, humanity has been driven by an innate curiosity to explore beyond established boundaries, particularly evident in scientific and mathematical pursuits. The realm of mathematics has seen numerous conjectures spanning ancient times to the present day, encompassing various mathematical domains. These conjectures, some evolving into theorems upon proof, others being refuted and replaced, and a few remaining yet unresolved, form a significant facet of intellectual exploration. They captivate not only professional mathematicians but also enthusiasts, contributing to the evolution of mathematics. Mathematical conjectures are statements that have not yet been proven to be true or false. Typically created from observed patterns, these conjectures often originate from seemingly simple propositions. Presently, advancements in computer programming have substantially contributed to and aided in proving wrong by finding some counterexamples or confirming the conjectures for very large numbers. Python, in particular, facilitates the verification of conjectures for larger numbers, the identification of patterns and formulas, confirming conjectures or helping in finding counterexamples leading to rejection, as well as refining existing ones or generating new ones. The article aims to present several famous math conjectures, predominantly in number theory, and emphasize the importance and use of working with students for a more interesting class. Notable conjectures include Euclid's perfect number conjecture, Fermat's number conjecture, Collatz's conjecture, Landau's conjecture, Mersenne's prime conjecture, and more.
Mathematics and algorithms have a common history dating back to ancient times. Since the beginnin... more Mathematics and algorithms have a common history dating back to ancient times. Since the beginning of mathematics, with the theorems, concepts, and definitions of mathematics, we also find algorithms that accompany many of the oldest proofs of mathematics, such as Euclid's Algorithm, the Sieve of Eratosthenes, etc. Mathematics and algorithms are two highly intertwined disciplines that form the backbone of today's modern science and technology. While mathematics provides the theoretical framework for understanding abstract concepts and solving complex problems, algorithms provide practical methods for applying mathematical ideas and solving real-world problems efficiently. Nowadays, with the rapid development of technology, the advancement of computing skills, and the use of artificial intelligence, mathematics is helping the development of algorithms, and algorithms are also helping mathematicians understand the most complex and difficult mathematical problems, including working on conjectures. In the process of developing a computer program, for example, Python, it is very important for students to understand that everything starts with math and reasoning to reach a clear and complete understanding of the problem, then the process of solving the problem and writing codes in any language, Python, Java, C++, Basic, etc. In this article, we will consider one of the oldest and most popular problems in mathematics, the Euclidean algorithm, solved in different Python programs to check the complexity time for each and encourage students to do creative programming.
Mathematics education traditionally focuses on teaching students' fundamental concepts and proble... more Mathematics education traditionally focuses on teaching students' fundamental concepts and problem-solving techniques within the confines of the classroom. Homework assignments typically involve practicing problems from the textbook or applying learned methods to new problems. However, extending math homework beyond these traditional exercises-by incorporating research, collection, and proofs of theorems, preferably the classic ones offer students a deeper understanding of mathematical concepts and their historical context. This approach not only enriches their learning experience but also fosters critical thinking, problem-solving skills, and a genuine appreciation for mathematics. This article explores the benefits and strategies for extending math, algorithms and coding education through these methods, highlighting how they contribute to a more comprehensive and meaningful learning experience.
Abstract: Tourism today is considered a powerful force for economic growth and the promotion... more Abstract: Tourism today is considered a powerful force for economic growth and the promotion of cultural
diversity at a global level. With a wide reach across different countries, tourism not only contributes to the
state's income but also creates a platform for cultural exchange and international cooperation. The tourism
sector creates jobs for hundreds of thousands of people, including various services such as accommodation,
restaurants, travel agencies, and transport services. This encourages the creation of local businesses and
increased economic activity, contributing to the reduction of unemployment and increased fiscal revenue
for the government. With the growing interest in Albania as a tourist destination, it is imperative to assess
the quality of services offered to meet the evolving demands of travelers. This research presents a
comprehensive survey-based analysis of tourism services in Albania, aimed at understanding the
perceptions and satisfaction levels of tourists visiting the country. The analysis is conducted through a 5point
Likert
scale
survey,
assessing
the
opinions
and
preferences
of
tourists,
and
analyzing
and
interpreting
with
SPSS.
Respondents'
experiences
were
assessed across a range of tourism service aspects, including
accommodation, transportation, culinary offerings, and recreational activities, the tourists' perception of the
country's cultural heritage, natural attractions, and overall destination appeal. Key findings from the survey
indicate that tourists are drawn to Albania for its breathtaking landscapes, historical landmarks, and vibrant
local culture. Positive evaluations are observed regarding hospitality and warmth extended by locals,
contributing to overall visitor satisfaction.
Throughout history, humanity has been driven by an innate curiosity to explore beyond established... more Throughout history, humanity has been driven by an innate curiosity to explore beyond established boundaries, particularly evident in scientific and mathematical pursuits. The realm of mathematics has seen numerous conjectures spanning ancient times to the present day, encompassing various mathematical domains. These conjectures, some evolving into theorems upon proof, others being refuted and replaced, and a few remaining yet unresolved, form a significant facet of intellectual exploration. They captivate not only professional mathematicians but also enthusiasts, contributing to the evolution of mathematics. Mathematical conjectures are statements that have not yet been proven to be true or false. Typically created from observed patterns, these conjectures often originate from seemingly simple propositions. Presently, advancements in computer programming have substantially contributed to and aided in proving wrong by finding some counterexamples or confirming the conjectures for very large numbers. Python, in particular, facilitates the verification of conjectures for larger numbers, the identification of patterns and formulas, confirming conjectures or helping in finding counterexamples leading to rejection, as well as refining existing ones or generating new ones. The article aims to present several famous math conjectures, predominantly in number theory, and emphasize the importance and use of working with students for a more interesting class. Notable conjectures include Euclid's perfect number conjecture, Fermat's number conjecture, Collatz's conjecture, Landau's conjecture, Mersenne's prime conjecture, and more.
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Papers by Anna Maria Kosova
diversity at a global level. With a wide reach across different countries, tourism not only contributes to the
state's income but also creates a platform for cultural exchange and international cooperation. The tourism
sector creates jobs for hundreds of thousands of people, including various services such as accommodation,
restaurants, travel agencies, and transport services. This encourages the creation of local businesses and
increased economic activity, contributing to the reduction of unemployment and increased fiscal revenue
for the government. With the growing interest in Albania as a tourist destination, it is imperative to assess
the quality of services offered to meet the evolving demands of travelers. This research presents a
comprehensive survey-based analysis of tourism services in Albania, aimed at understanding the
perceptions and satisfaction levels of tourists visiting the country. The analysis is conducted through a 5point
Likert
scale
survey,
assessing
the
opinions
and
preferences
of
tourists,
and
analyzing
and
interpreting
with
SPSS.
Respondents'
experiences
were
assessed across a range of tourism service aspects, including
accommodation, transportation, culinary offerings, and recreational activities, the tourists' perception of the
country's cultural heritage, natural attractions, and overall destination appeal. Key findings from the survey
indicate that tourists are drawn to Albania for its breathtaking landscapes, historical landmarks, and vibrant
local culture. Positive evaluations are observed regarding hospitality and warmth extended by locals,
contributing to overall visitor satisfaction.
diversity at a global level. With a wide reach across different countries, tourism not only contributes to the
state's income but also creates a platform for cultural exchange and international cooperation. The tourism
sector creates jobs for hundreds of thousands of people, including various services such as accommodation,
restaurants, travel agencies, and transport services. This encourages the creation of local businesses and
increased economic activity, contributing to the reduction of unemployment and increased fiscal revenue
for the government. With the growing interest in Albania as a tourist destination, it is imperative to assess
the quality of services offered to meet the evolving demands of travelers. This research presents a
comprehensive survey-based analysis of tourism services in Albania, aimed at understanding the
perceptions and satisfaction levels of tourists visiting the country. The analysis is conducted through a 5point
Likert
scale
survey,
assessing
the
opinions
and
preferences
of
tourists,
and
analyzing
and
interpreting
with
SPSS.
Respondents'
experiences
were
assessed across a range of tourism service aspects, including
accommodation, transportation, culinary offerings, and recreational activities, the tourists' perception of the
country's cultural heritage, natural attractions, and overall destination appeal. Key findings from the survey
indicate that tourists are drawn to Albania for its breathtaking landscapes, historical landmarks, and vibrant
local culture. Positive evaluations are observed regarding hospitality and warmth extended by locals,
contributing to overall visitor satisfaction.