Transforming Mathematics Learning for Students and Teachers with Digital Technologies

Силия Хойлс, Ричардс Нос - Това представяне е вдъхновено от делото на Сиймър Пепърт и много други от целия свят (включително Джим Капут и наши колеги от България), които са работили и работят в духа на конструкционизма и с които сме имали щастието да си сътрудничим в областта на математическото образование и дигиталните технологии в течение на десетилетия.

Bulgarian Digital Mathematical Library BulDML and Czech Digital Mathematical Library DML-CZ as parts of the European Digital Mathematics Library EuDML

The paper presents in brief the Bulgarian Digital Mathematical Library BulDML and the Czech Digital Mathematical Library DML-CZ. Both libraries use the open source software DSpace and both are partners in the European Digital Mathematics Library EuDML. We describe their content and metadata schemas; outline the architecture system and overview the statistics of its use.

European Digital Mathematics Library

The aim of this paper is to survey the European Digital Mathematics Library project goals and achievements as well as an outlook for sustainable development. “Making mathematics literature published in Europe available online” www.eudml.org

Recent Developments in Digital Mathematics Libraries

The paper presents recent developments in the domain of digital mathematics libraries towards the envisioned 21st Century Global Library for Mathematics. The Bulgarian Digital Mathematical Library BulDML and the Czech Digital Mathematical Library DML-CZ are founding partners of the EuDML Initiative and through it contribute to the sustainable development of the European Digital Mathematics Library EuDML and to the global advancements in this area.

A Semantic-Oriented Architecture of a Functional Module for Personalized and Adaptive Access to the Knowledge in a Multimedia Digital Library

This article presents the principal results of the doctoral thesis “Semantic-oriented Architecture and Models for Personalized and Adaptive Access to the Knowledge in Multimedia Digital Library” by Desislava Ivanova Paneva-Marinova (Institute of Mathematics and Informatics), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 27 October, 2008.

On a Class of D-Cauchy Filters

∗ Research supported by Hungarian National Foundation for Scientific Research, Grant No T 016094.

DML and RusDML – Virtual Library Initiatives for Covering All Mathematics Electronically

With the rapidly growing activities in electronic publishing ideas came up to install global repositories which deal with three mainstreams in this enterprise: storing the electronic material currently available, pursuing projects to solve the archiving problem for this material with the ambition to preserve the content in readable form for future generations, and to capture the printed literature in digital versions providing good access and search facilities for the readers. Long-term availability of published research articles in mathematics and easy access to them is a strong need for researchers working with mathematics. Hence in this domain some pioneering projects have been established addressing the above mentioned problems.

Design of Fractional Order Digital Differentiators and Integrators Using Indirect Discretization

Mathematics Subject Classification: 26A33, 93B51, 93C95

Grid and Simulation of Digital Communication Systems

The purpose of this paper is to turn researchers' attention to the use of grid computing for simulating digital communications and its large potential for decreasing significantly the duration of the experiments and for improving the statistical representativeness and reliability of the obtained results.

Services for Content Creation and Presentation in an Iconographical Digital Library

Content creation and presentation are key activities in a multimedia digital library (MDL). The proper design and intelligent implementation of these services provide a stable base for overall MDL functionality. This paper presents the framework and the implementation of these services in the latest version of the “Virtual Encyclopaedia of Bulgarian Iconography” multimedia digital library. For the semantic description of the iconographical objects a tree-based annotation template is implemented. It provides options for autocompletion, reuse of values, bilingual entering of data, automated media watermarking, resizing and conversing. The paper describes in detail the algorithm for automated appearance of dependent values for different characteristics of an iconographical object. An algorithm for avoiding duplicate image objects is also included. The service for automated appearance of new objects in a collection after their entering is included as an important part of the content presentation. The paper also presents the overall service-based architecture of the library, covering its main service panels, repositories and their relationships. The presented vision is based on a long-term observation of the users’ preferences, cognitive goals, and needs, aiming to find an optimal functionality solution for the end users.

Digital Preservation and Web Access to the Konkoly Observatory Schmidt Telescope Plate Archive

ACM Computing Classification System (1998): J.2.

A Digital Library of Folklore Songs and Keyword-Based Search Engine

ACM Computing Classification System (1998): H3.3, H.5.5, J5.

Virtual Environments as an Education Tool for Digital Natives

Report published in the Proceedings of the National Conference on "Education in the Information Society", Plovdiv, May, 2013

GUIDE@HAND: Digital GPS Based Audio Guide that Brings the Past to Life

In the digital age the internet and the ICT devices changed our daily life and routines. It means we couldn't live without these services and devices anywhere (work, home, holiday, etc.). It can be experienced in the tourism sector; digital contents become key tools in the tourism of the 21st century; they will be able to adapt the traditional tourist guide methodology to the applications running on novel digital devices. Tourists belong to a new generation, an "ICT generation" using innovative tools, a new info-media to communicate. A possible direction for tourism development is to use modern ICT systems and devices. Besides participating in classical tours guided by travel guides, there is a new opportunity for individual tourists to enjoy high quality ICT based guided walks prepared on the knowledge of travel guides. The main idea of the GUIDE@HAND service is to use reusable, and create new tourism contents for an advanced mobile device, in order to give a contemporary answer to traditional systems of tourism information, by developing new tourism services based on digital contents for innovative mobile applications. The service is based on a new concept of enhancing territorial heritage and values, through knowledge, innovation, languages and multilingual solutions going along with new tourists‟ “sensitiveness”.

Survey of Existing Services in the Mathematical Digital Libraries and Repositories in the EuDML Project

This paper presents a survey of the existing services provided by the digital libraries and repositories on mathematics of the content provider partners in the EuDML project. The purpose is to support the development of the concepts, criteria and methods for the continuous evaluation of these and new relevant existing services. The work was concentrated on the classification of the relevant services in order to specify a common evaluating structure.