Reconciling transport models across scales: The role of volume exclusion

Diffusive transport is a universal phenomenon, throughout both biological and physical sciences, and models of diffusion are routinely used to interrogate diffusion-driven processes. However, most models neglect to take into account the role of volume exclusion, which can significantly alter diffusive transport, particularly within biological systems where the diffusing particles might occupy a significant fraction of the available space. In this work we use a random walk approach to provide a means to reconcile models that incorporate crowding effects on different spatial scales. Our work demonstrates that coarse-grained models incorporating simplified descriptions of excluded volume can be used in many circumstances, but that care must be taken in pushing the coarse-graining process too far.

Pre-maps : An Educational Programme for Reading Tactile Maps

It is demanding for children with visual impairment to become aware of the world beyond their immediate experience. They need to learn to control spatial experiences as a whole and understand the relationships between objects, surfaces and themselves. Tactile maps can be an excellent source of information for depicting space and environment. By means of tactile maps children can develop their spatial understanding more efficiently than through direct travel experiences supplemented with verbal explanations. Tactile maps can help children when they are learning to understand environmental, spatial, and directional concepts. The ability to read tactile maps is not self-evident; it is a skill, which must be learned. The main research question was: can children who are visually impaired learn to read tactile maps at the preschool age if they receive structural teaching? The purpose of this study was to develop an educational program for preschool children with visual impairment, the aim of which was to teach them to read tactile maps in order to strengthen their orientation skills and to encourage them to explore the world beyond their immediate experience. The study is a multiple case study describing the development of the map program consisting of eight learning tasks. The program was developed with one preschooler who was blind, and subsequently the program was implemented with three other children. Two of the children were blind from birth, one child had lost her vision at the age of two, and one child had low vision. The program was implemented in a normal preschool. Another objective of the pre-map program was to teach the preschooler with visual impairment to understand the concept of a map. The teaching tools were simple, map-like representations called pre-maps. Before a child with visual impairment can read a comprehensive tactile map, it is important to learn to understand map symbols, and how a three-dimensional model changes to a two-dimensional tactile map. All teaching sessions were videotaped; the results are based on the analysis of the videotapes. Two of the children completed the program successfully, and learned to read a tactile map. The two other children felt happy during the sessions, but it was problematic for them to engage fully in the instruction. One of the two eventually completed the program, while the other developed predominantly emerging skills. The results of the children's performances and the positive feedback from the teachers, assistants and the parents proved that this pre-map program is appropriate teaching material for preschool children who are visually impaired. The program does not demand high-level expertise; also parents, preschool teachers, and school assistants can carry out the program.

Do UNESCO Schools in Finland Prepare Their Students for the Future? : A Study of Their School-based Curriculums

The purpose of the research was to study how Finnish lower-stage schools participating in the international network of UNESCO schools, also called the Associated Schools Project (ASP), prepare their students for the future at the level of their school-based curriculums. In the research, the future trends were discussed, and the importance of their consideration in educational practice was explained from a global viewpoint: Based on the examination of today's problematic world state, and development trends characterized by globalization, the challenges and demands set for schooling and education in the future were discussed. Understanding the significance of an individual's action and responsibility was considered to be the central resource for building a more just and sustainable future. The study was grounded on a theoretical model developed by the researcher, which combined the models of Dalin & Rust (1996) and UNESCO (Delors et al. 1996) about future-oriented learning. The model consists of four basic elements of curriculum; "Nature", "Culture", "Myself", and "Others", and four dimension of learning; "Learning to know", "Learning to do", "Learning to live together" and "Learning to be". The model represents the holistic aspect of educational theory, and its aim is to maintain a balance between its different components. The research material composed of ten lower-stage UNESCO schools' school-based curriculums. They were analyzed using the theoretical model by the methology of content analysis. The research results were notably consistent between the different schools. They showed cultural learning and learning concerned with "myself" to be clearly more emphasized than learning referring to nature and other people. In addition, they reflected the central position of subjects, knowledge and skills, thus leaving the development of the pupils' personalities, and particularly learning concerned with living with other people, in a marginal role. The question about whether the schools prepare for the future interms of their curriculums, was discussed in the light of the results. The research offered a way and a model to approach the relationship between education and the future, and to evaluate schools' future-orientation. Based on the results, the schools are suggested to lay more stress on learning concerned with nature and other people, and focus more on developing the mental capasities of their pupils and competencies they need for living with other people. Above all, what the present societies require of schools is education which produces balanced and broadly aware human beings who have the mental strength to face the challenges of the future and abilities to direct it along the lines they desire. Keywords: future, curriculum, content analysis