I. Introduction Algorithms are at the heart of all computing. In the increasingly information and computation driven world, it is important to have a good grasp of algorithmic techniques for the development of solutions to problems in various domains such as Engineering, a beginner in Programming/Computing, it is extremely important to develop the skills of systematic development of precise ste...

The Graph Minors Theory, developed by Robertson and Seymour, has been one of the most influential mathematical theories in parameterized algorithm design. We present some of the basic algorithmic techniques and methods that emerged from this theory. We discuss its direct meta-algorithmic consequences, we present the algorithmic applications of core theorems such as the grid-exclusion theorem, a...

We show that algorithmic thinking is a key ability in informatics that can be developed independently from learning programming. For this purpose we use problems that are not easy to solve but have an easily understandable problem definition. A proper visualization of these problems can help to understand the basic concepts connected with algorithms: correctness, termination, efficiency, determ...

The so-called fourth industrial revolution, based upon widespread use of data analytics, rapid refinements in artificial intelligence and its applications, near universal access to high-speed Internet supporting cloud storages, has created economic social conditions that require an increasing supply ICT skilled workers. If one the important purposes school mathematics is help young people under...

The relevance of the study is conditioned by fact that modern society requires new generations to be able plan their actions, find information necessary solve problems among huge arrays (many which are also not reliable), and model processes for future. set certain tasks synergised in plane concept algorithmic thinking. purpose track educational competence consequences applying developed approa...

The research on cognitive thinking is important to construct the efficient intelligent design systems. But it is difficult to describe the model of cognitive thinking with reasonable mathematical theory. Based on the analysis of design strategy and innovative thinking, we investigated the design cognitive thinking model that included the external guide thinking of "width priority-depth priority...