Animations are discussed for a range of geometric dissections. These include a variety of twist-hinged dissections, some swing-hinged dissections, dissections of squares and cubes corresponding to a certain integer identities, folding dissections of multi-level regular polygons, and folding dissections of multi-level polyominoes. Artistic issues pertaining to these dissections and animations ar...

This paper is based on rich experience gained in the area of computer science education and it could serve as an inspirational material directed to all educators developing students’ programming skills. The area of software development has undergone a rapid expansion and this trend is so far continuing. Each developer has to learn constantly and master new technology. However, the foundation a ...

<p style="text-align: justify;">This exploratory and descriptive study aims to theoretically promote the schema of pseudo-thinking processes in mathematical problem-solving by students. The participants this were 36 eighth graders one math teacher. researchers collected data using tests interviews. results showed that structure based on assimilation accommodation is composed five hierarch...

1. Executive Summary The workshop on “Theoretical Foundations of Data Science (TFoDS): Algorithmic, Mathematical, and Statistical” took place on Thursday, April 28 through Saturday, April 30, 2016, at the Hilton Arlington Hotel in Virginia. The workshop’s objective was the identification of important research challenges that strengthen and broaden the mathematical, statistical, and algorithmic ...

Technological upgrades, progressive scientific and technical developments are a direct reflection of the challenges 21st century, overcoming which implies review content education results obtained from it, aimed at developing creative, self-planning, results’ predicting personalities. The acquisition mentioned qualities is ensured by introduction chess game in educational process, purpose not o...

Abstract More and more decisions in our societies are made by algorithms. What such like, how do they compare to human decision-making? I contrast central features of algorithmic decision-making with three key elements—plurality, natality, judgment—of Hannah Arendt's political thought. In “Arendtian practices,” beings come together as equals, exchange arguments, make joint decisions, sometimes ...

This paper is a survey of concepts and results related to simple Kolmogorov complexity, prefix complexity and resource-bounded complexity. We also consider a new type of complexity— statistical complexity closely related to mathematical statistics. Unlike other discoverers of algorithmic complexity, A. N. Kolmogorov’s leading motive was developing on its basis a mathematical theory more adequat...