scholarly journals Teaching Combinatorial Principles Using Relations through the Placemat Method

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1825
Author(s):  
Viliam Ďuriš ◽  
Gabriela Pavlovičová ◽  
Dalibor Gonda ◽  
Anna Tirpáková
Keyword(s):  
Graph Theory ◽  
Complexity Theory ◽  
Slovak Republic ◽  
Teaching Mathematics ◽  
Combinatorial Structures ◽  
Algorithmic Approach ◽  
Scientific Disciplines ◽  
Combinatorial Principles ◽  
The Subject ◽  
As Graph

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 presents their use and learning using relations through the Placemat method in teaching process. The effectiveness of the presented innovative way of teaching combinatorics was also verified experimentally at a selected high school in the Slovak Republic. Our experiment has confirmed that teaching combinatorics through relationships among talented children in mathematics is more effective than teaching by a standard algorithmic approach.

scholarly journals Teaching Mathematics to Non-Mathematics Majors through Problem Solving and New Technologies

2022 ◽  
Vol 12 (1) ◽  
pp. 34
Author(s):  
Marina Marchisio ◽  
Sara Remogna ◽  
Fabio Roman ◽  
Matteo Sacchet
Keyword(s):  
Problem Solving ◽  
New Technologies ◽  
First Year ◽  
Teaching Mathematics ◽  
Science Students ◽  
Mathematics Majors ◽  
Scientific Disciplines ◽  
The Subject ◽  
Students Attitudes

The role of mathematics in several scientific disciplines is undisputed; work and everyday life take great advantage of its application. Nevertheless, students often tend to not particularly like it and to consider it of little interest. It is also believed that only people with a certain attitude are capable of mastering the subject. In consideration of this, we aimed to help science students develop mathematical competences by designing a course specifically oriented to applications and problem solving. We administered our course to students attending the first year of a program in biotechnology, asking them to work with technologies instilling curiosity and interest, thus achieving a better proficiency as a consequence. Two questionnaires, along with access and proficiency data, allowed us to collect information about students’ attitudes, beliefs, and activity, which we analyzed by means of descriptive statistics. The promotion of the interaction among learners made them active users of the contents, thus allowing for the adaptation of their learning paths according to their personal necessities, as well as the development of teamwork skills and flexibility. Finally, students recognized the usefulness of the problem-solving approach and the role played by software.

Heuristische Textpraktiken in den Wissenschaften

2020 ◽  
Vol 48 (1) ◽  
pp. 1-46
Author(s):  
Michael Bender ◽  
Marcus Müller
Keyword(s):  
Science Research ◽  
Annotation Scheme ◽  
Scientific Debate ◽  
Domain Specific ◽  
Current State ◽  
Scientific Disciplines ◽  
Textual Practices ◽  
Collaborative Annotation ◽  
The Subject ◽  
State Of Research

AbstractThis article contains a comparative study of heuristic textual practices in various scientific disciplines. By this we mean formulation practices with which new knowledge is generated in institutionally influenced routines and connected to existing knowledge, e. g. ‚highlighting the relevance of a research topic‘, ‚defining a concept‘ or ‚supporting a statement argumentatively‘.The aim is to find out to what extent such textual practices occur in different scientific disciplines, how they are distributed and combined. Furthermore, we study the effects domain-specific contexts have on heuristic textual practices. The data basis of our study is a corpus of 65 dissertations from the 13 different faculties of the TU Darmstadt. In the pilot study we report here, we examined the introductory chapters of the dissertations. Methodologically, it is an annotation study: Based on the current state of research on the subject, we have derived a basic annotation scheme, which we have developed and refined in a collaborative process of guideline creation. Our study affiliates on socio-pragmatic research on text production and formulation routines in the sciences. It is theoretically informed by the philosophy of science research on heuristics, methodically we make a contribution to the scientific debate on collaborative annotation procedures.

scholarly journals Probability of an Intermediate (Reduced Operational) State

2021 ◽  
Vol 12 (3) ◽  
pp. 71-96
Author(s):  
Paweł SZCZEPAŃSKI
Keyword(s):  
Graph Theory ◽  
Intermediate State ◽  
Single Element ◽  
Additional Component ◽  
Kolmogorov Equations ◽  
The Subject ◽  
Basic Concepts ◽  
Operational Failure

This work examines with the form of the well-known sum: p + q = 1 – which is the sum of the probabilities of opposite events, in particular: the sum of the probabilities of the operational and non-operational (failure) states of a single element (a creation characterised by one output and any number of inputs). It was found that without significantly compromising the accuracy of the previous analyses, it was possible to introduce an additional component to the sum: iiipq3, a component that embodies the probability of an intermediate state, or a reduced operational state. With a constant value of the sum of the components in question, their variation as a function of probability q was determined, following which in the function of the same variable the variation of the entropy of an element's i state was examined using Chapman-Kolmogorov equations; here the focus was on investigating the intensity of the transition from the operational state to the non-operational state or an intermediate state, and from an intermediate state to the non-operational state. The meaning of intermediate probability was also referenced to the object: its diagnostic program, the entropy of structure, the full set of discriminable states, and the relevant transition intensities. It became indispensable in this respect to describe the object using the language of graph theory, in which the basic concepts are layers and an availability matrix. It should be noted that the subject object is an entity that comprises a set of individual elements, with a number and structure of connections that are consistent with the purpose of this entity.

scholarly journals Selected problems and roles of innovation development in the Slovak Republic

2018 ◽  
Vol 26 (4) ◽  
pp. 662-673
Author(s):  
Vladimir Gonda
Keyword(s):  
Slovak Republic ◽  
Smart Growth ◽  
Sustainable Growth ◽  
The European Union ◽  
Lisbon Strategy ◽  
Innovation Development ◽  
Societal Challenges ◽  
Europe 2020 ◽  
Europe 2020 Strategy ◽  
The Subject

In the current conditions of globalization, the importance of innovation is growing. Innovation is a key to sustainable growth, a tool to increase the competitiveness of companies, regions, states and integration groups, a means to address societal challenges. The European Union pays great attention to innovation efforts - f.e. through the group-wide strategies of competitiveness such as the Lisbon strategy and the Europe 2020 strategy. The aim of the paper is to evaluate the fulfillment of the Europe 2020 national goals for Slovakia in the field of smart growth, to analyze selected issues of innovative development in Slovakia and to propose possible measures for its improvement. As the subject matter is extremely complex and multitangular, the paper discusses only selected issues and questions.

scholarly journals Teaching Mathematics in English for Elementary Students of Asak Paroki MKK

2021 ◽  
Vol 4 (2) ◽  
pp. 97-106
Author(s):  
Clara Herlina
Keyword(s):  
Community Development ◽  
Elementary Students ◽  
Word Problems ◽  
Development Program ◽  
Classroom Teaching ◽  
Teaching Mathematics ◽  
Math Vocabulary ◽  
The Subject ◽  
Basic Concepts ◽  
Math Problems

Mathematics subject is considered difficult for most elementary students, especially when the subject is given in English. To be able to do math exercises in English, the students have to understand the math vocabulary and the concepts of math. The purpose of this community development program is to increase the elementary students’ ability in solving word math problems in English. The participants in this program are twenty elementary students who are included in ASAK Paroki MKK community. The program is created in the form of classroom teaching and activities. In this program, we teach them the basic concepts of math vocabulary, understanding the word problems and the solutions to the problems.  We also use several related activities to make the lessons meaningful and comprehensible. The results show that the students are able to solve math problems in English correctly and confidently.

What is the Influence of the Global Economic Crisis on the Development of the Wage Distribution of Czechs and Slovaks?

2014 ◽  
Vol 2 (3) ◽  
pp. 141-155
Author(s):  
Diana Bílková
Keyword(s):  
Slovak Republic ◽  
Economic Recession ◽  
Wage Distribution ◽  
Wage Level ◽  
The Czech Republic ◽  
International Context ◽  
Men And Women ◽  
Wage Distributions ◽  
The Subject ◽  
The One

This paper deals with the development of wage distribution by gender in the Czech and Slovak Republics in the years 2005–2012. Special attention is given to the changing in the behavior of the wage distribution in relation to the onset of the global economic recession. The different behavior of the wage distribution of Czech and Slovak employees during the period is the subject of research. The article discusses the differences in wage level between men and women in the Czech and Slovak Republics. There are the total wage distributions of men and women together, both in the Czech Republic and in the Slovak Republic on the one hand, and wage distributions according to the gender separately for men and for women on the other hand. Comparison of wage levels in the world and the position of wages of the Czech employees in the international context is included, too.

Analisa Topik Pendidikan Dalam Al-Quran dengan Pendekatan Text Mining

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
Bustami Yusuf ◽  
Muhammad Zaeki ◽  
Hendri Ahmadian ◽  
Khairan Ar ◽  
Sri Wahyuni
Keyword(s):  
Evaluation Method ◽  
Naive Bayes ◽  
Naïve Bayes ◽  
Bayes Classifier ◽  
Sources Of Knowledge ◽  
Scientific Disciplines ◽  
Study Results ◽  
The World ◽  
The Subject ◽  
Bayes Algorithm

Education is one of the sciences that makes humans much better by learning various scientific disciplines. Al-Quran is one of the sources of knowledge that is believed by Muslims around the world. Because technology has penetrated almost every domain of our lives , including the world of education. Thus, the authors make technology as tool  for researching educational topics in Al-Quran by implementing text exploration .The research was carried out by making some basic words that were related to the subject of education as the keywords in this study. The keywords are “Ajar”, “Bicara”, “Cipta”, “Dengar”, “Ingat” and “Lihat”. Then, the authors implemented the Naïve Bayes Classifier algorithm. To test and evaluate the results, the author used two methods, i.e. recall and precision. The study results are the keyword “cipta” by 3.05 %, “Ingat” 2.25 %, “Ajar” 1.96 %,“Lihat” 0.82 %, finally “Dengar” 0.62% and “Bicara” 0.34% with  total  weight of 3,516 words that  have been filtered. The overall percentage of the results is 9.04% of the total number of words 38,761 in the Al-Quran. For the Naïve Bayes algorithm evaluation method,  the recall and precision scores are 0.605 and 0.366, respectively.

Graph Theory: An Algorithmic Approach

1976 ◽  
Vol 27 (4) ◽  
pp. 1027
Author(s):  
E. Kay ◽  
N. Christofides
Keyword(s):  
Graph Theory ◽  
Algorithmic Approach

Transcending the Emergence/Reduction Distinction: The Case of Biology

2005 ◽  
Vol 56 ◽  
pp. 1-20
Author(s):  
Rom Harré
Keyword(s):  
Political Theory ◽  
Subject Matter ◽  
Molecular Orbitals ◽  
Quantum States ◽  
Coherent System ◽  
Human Being ◽  
Disciplinary Practices ◽  
Scientific Disciplines ◽  
Material Substance ◽  
The Subject

The groups of problems that fall under the titles ‘reduction’ and ‘emergence’ appear at the boundaries of seemingly independent and well-established scientific disciplines, such as chemistry and biology, biology and psychology, biology and political theory, and so on. They arise in this way:1. There is a widespread intellectual ‘urge’ towards developing a common discourse for adjacent disciplinary practices such as biology and chemistry, biology and psychology, law and psychiatry. To achieve this goal a unified and coherent system of concepts would be required that would be adequate to describe and to explain the phenomena which are the subject matter of both disciplines.2. There is a discontinuity between the concepts native to each of the adjacent disciplines in that predications from each to a common subject such as a sample of a material substance, or a process or a human being, appear to be incompatible. For example to describe a certain reaction as ‘reducing’ and to describe it in terms of the quantum states of molecular orbitals is an incompatible predication. For example to say that a brain is thinking and that that brain is taking up glucose is an incompatible predication since the criteria for these assertions are radically different. Or, to say that a human being is ill and to say that a human being is malfunctioning is an incompatible predication, since the former requires the speaker to treat the human being as a person, and the latter as an organism. Just what these various differences amount to will be the main aim of this paper.

PROFILES OF SOCIAL COMPETENCE OF ACADEMIC TEACHERS OF MILITARY UNIVERSITIES

2019 ◽  
Vol 19 ◽  
pp. 195-207
Author(s):  
Mirosław Laskowski
Keyword(s):  
Social Competence ◽  
Education System ◽  
Measurement Tool ◽  
Teacher Competence ◽  
Scientific Disciplines ◽  
The Social ◽  
Standardized Measurement ◽  
The Subject ◽  
New Perspective ◽  
The Many

Among the many requirements posed today for the education system, the question of teacher competence deserves special attention. Previous explorations have demonstrated the unquestionable excellence of professional competences over formal qualifications, including in other professions. Psychological competences, increasingly appreciated by psychologists, are still searching for their place in pedagogy and other scientific disciplines. When I examined the social competence profiles of a particular group of teachers of academic military universities, I decided to show a new perspective on education in the army. I presented the subject matter with the help of a standardized measurement tool on the example of The War Studies University in Warsaw.

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