In this work, a triangulation method, a classic algorithm for Sammon’s projection and the combination of Sammon’s algorithm and the triangulation method for mapping of new points are examined in details. The combination of Sammon’s algorithm and triangulation method is created. The algorithms of triangulation method, Sammon’s algorithm and their combination are realized in Microsoft Visual Basic 5.0. These algorithms are developed and examined on the view on the following stand points: * Visual evaluation of data projection; * Evaluation of time of data mapping; * Evaluation of projection error. The triangulation method is quite fast, however only (2m-3) distances among examined data points are exactly preserved. Sammon’s algorithm tries to preserve all m(m-1)/2 distances among data points, but it is quite slow: whenever a new point must be mapped, all visualization procedure must be repeated over. This question is solved using the combination of the triangulation method and Sammon’s projection. On purpose to get the more exact data projection onto a plane, we must to map more initial points using Sammon’s projection and less new points using the triangulation method. The combination of these methods is used, whenever new points of the data must be quickly mapped. This method performs quite fast and quite a little precision is lost. The discovered new ways for fast mapping of points in a high-dimensional space onto a plane and it makes a background for the further research... [to full text]

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Abstract This empirical study investigates how students in secondary school 7-9 learn the English language outside of school, in an informal setting, and how they can benefit from it in a formal setting in school. The usage of digital technology is more common nowadays amongst youngsters than it used to be before. Digital technology has become a part of young people’s daily lives, whether it is for social media, schoolwork, gaming or blogging. Most students in Swedish secondary schools have their own computers, mobile phones, and have the opportunity to borrow an iPad from school, if needed. For this reason, it is relevant and interesting to investigate how students use their informal knowledge of English in a school setting, and how teachers take advantage of that knowledge. The research focused primarily on how the incorporation of extramural English can be used as a motivating factor for students to develop their English language in a formal setting. The results showed that students who are given the opportunity to use their previous knowledge in the classroom, appeared to be more encouraged to engage in classroom activities. They were also more motivated to work with the assignments handed to them. Teachers who involved students’ interests and previous knowledge in the classroom were experienced in the use of different media in the classroom and had good knowledge about students’ daily lives and experiences, something that helped them establish a positive teacher-student relationship. Keywords: extramural English, out-of-school English, teaching materials, motivation, informal- and formal settings, students’ perceptions.

Summaries in English and Afrikaans / Life skills are coping skills taught to learners, with the purpose of developing self-reliant and confident people with skills, to cope with important life's challenges in times of change. Where life skill education initiatives are being set up, much time and resources are channelled into training teachers, promoting, disseminating and implementing life skill education. For life skill education to be effective and continue to be relevant, research needs to be undertaken as an integral part of the whole process. This study focuses on the 'Life Skills Train the Trainer Programme'. The aim being to evaluate the success of this programme in empowering teachers to teach life skills. It was found that although life skill education has been found to be an important area in every learner's life, there are obstacles that may affect an effective implementation of life skill education in schools. These obstacles need to be attended to. / ewensvaardighede word aan leerlinge onderrig met die doe! om selfstandigheid en selfversekerdheid te ontwikkel, sodat hulle in staat is om lewenseise te midde van veranderende tye te kan hanteer Wanneer lewensvaardighede-onderrig gelnisieer word, word baie tyd en hulpbronne gekanaliseer in die opleiding van onderwysers, asook in die promovering, verspreiding en implementering van sodanige onderwys. Vir lewensvaardighede-onderrig om effektief te wees en relevant te bly, moet navorsing 'n integrale dee! van die hele prose vorm. Hierdie studie is gerig op die "Life Skills Train the Trainer Programme". Die doe! was om vas te stel tot watter mate hierdie program bydra tot die bemagtiging van onderwysers in die onderrig van lewensvaardighede. Die bevinding was dat alhoewel erkenning gegee word aan die belangrikheid van lewensvaardighede-onderrig, daar tog struikelblokke is wat effektiewe implementering in skole kan belemmer Hierdie struikelblokke moet aangespreek word. / Educational Studies / M.Ed.

Summaries in English and Afrikaans / Life skills are coping skills taught to learners, with the purpose of developing self-reliant and confident people with skills, to cope with important life's challenges in times of change. Where life skill education initiatives are being set up, much time and resources are channelled into training teachers, promoting, disseminating and implementing life skill education. For life skill education to be effective and continue to be relevant, research needs to be undertaken as an integral part of the whole process. This study focuses on the 'Life Skills Train the Trainer Programme'. The aim being to evaluate the success of this programme in empowering teachers to teach life skills. It was found that although life skill education has been found to be an important area in every learner's life, there are obstacles that may affect an effective implementation of life skill education in schools. These obstacles need to be attended to. / ewensvaardighede word aan leerlinge onderrig met die doe! om selfstandigheid en selfversekerdheid te ontwikkel, sodat hulle in staat is om lewenseise te midde van veranderende tye te kan hanteer Wanneer lewensvaardighede-onderrig gelnisieer word, word baie tyd en hulpbronne gekanaliseer in die opleiding van onderwysers, asook in die promovering, verspreiding en implementering van sodanige onderwys. Vir lewensvaardighede-onderrig om effektief te wees en relevant te bly, moet navorsing 'n integrale dee! van die hele prose vorm. Hierdie studie is gerig op die "Life Skills Train the Trainer Programme". Die doe! was om vas te stel tot watter mate hierdie program bydra tot die bemagtiging van onderwysers in die onderrig van lewensvaardighede. Die bevinding was dat alhoewel erkenning gegee word aan die belangrikheid van lewensvaardighede-onderrig, daar tog struikelblokke is wat effektiewe implementering in skole kan belemmer Hierdie struikelblokke moet aangespreek word. / Educational Studies / M.Ed.