Decomposition method for solving parabolic equations in finite domains

INTRODUCTION The decomposition method was introduced by Adomian(1989;1994)in the1980’s for solving linear and nonlinear functional equations(algebraic,dif-ferential,partial differential equations(PDEs)and systems,integral,differential-delay,integro-differen-tial equations,etc.)(Adomian,1989;1994;Guellal and Cherruault,1995;Adomian et al.,1996;Laffez and Abbaoui,1996;Ndour et al.,1996;Guellal et al.,1997;Abbaoui and Cherruault,1999;Adjedj,1999).This method leads to computable,accurat…     

Alternative views of the solar system among turkish students

This study examines middle-school students’ alternative frameworks of the earth’s shape, its relative size and its distance from the sun and the moon. The sample was selected in the province of Giresun in Turkey. Sixty-five 14-year-old students participated in the research. A structured interview consisting of open-ended questions was employed to reveal students’ ideas. The students’ verbal responses were scrutinized and categorized according to their level of understanding. The results showed that the students had many alternative frameworks with regard to astronomical concepts. Implications and recommendations were made for teachers, textbook authors, teaching materials developers and researchers for future research to remedy students’ alternative frameworks.     

Impacts of a university–school partnership on middle school students' fractional knowledge: A quasiexperimental study

In this quasiexperimental study, the authors investigated the effects of university within school partnership model, within which faculty members acted as teacher-researchers to improve fractional knowledge among middle school (Grades 5–8) students. Students in nine Grade 6 mathematics classes from two public middle schools in Turkey were assigned to two conditions: University within school model instruction and traditional instruction. Pre- and posttest data showed that the students exposed to instruction through the university within school partnership model significantly outperformed their traditional instruction peers on the fractions test. Results indicated that students made significant gains in fractional knowledge in the experimental classrooms and in different subgroup populations. It was suggested that a substantial amount of mathematical infusion through partnership could have a positive impact on middle school students' fractional knowledge. The educational implications of the study were also discussed.     

Case studies of learning objects used in school settings

The purpose of this study was to investigate the role and characteristics of virtual learning objects in selected classroom cases. Four Finnish cases represented such pedagogical approaches as student‐centeredness, process orientation and collaborative inquiry. The case study approach enabled the investigation of concrete practices in using learning objects in ordinary classroom settings. The goal of the study was to examine the interrelatedness of the teachers’ pedagogical practices with characteristics and affordances of the learning objects, in order to understand how learning objects can support the development of advanced pedagogical practices in schools. The data used were qualitative, consisting of the participating teachers’ agendas, and observations and video recordings during classroom sessions. The results indicate that the learning objects were mostly used as exploration tools, information sources, assessment models and objects of discussion. An expert‐like use of knowledge was characteristic in the pedagogical settings, especially when the teacher was experienced in using ICT in teaching. However, not all the learning objects supported such practices, thus preventing a teacher from reaching intended pedagogical aims.     

Pre-service teachers’ experiences of ICT in daily life and in educational contexts and their proto-technological pedagogical knowledge

Many pre-service teachers are members of the net generation and are expected to be familiar with different ICTs, yet several studies have indicated that they are not necessarily able to use them for teaching and learning. The notion of teachers’ technological pedagogical knowledge (TPK) is central to this concern. In this study we use the responses of 146 pre-service teachers to open-ended questions about the experiences and knowledge of ICT and pedagogy they brought with them when they entered university teacher training. The data were analysed qualitatively with content analysis based on an integrative framework generated from a number of theoretical perspectives. Derived categories and subcategories were used to construct a framework for ‘proto-TPK’ as a basis for establishing a starting point for the coordinated development of TPK with students in their university training and early careers.     

A Conceptual Analysis of Perspective Taking in Support of Socioscientific Reasoning

Science & Education - Perspective taking is a critical yet tangled construct that is used to describe a range of psychological processes and that is applied interchangeably with related...     

Perceived outcomes of public libraries

The outcomes of public libraries as perceived by individuals in the major areas of their lives are analyzed and the benefits as outcome types are systematized. The data are based on a representative sample of 1000 Finnish adults, ranging in age from 15 to 79. The results give a systematic account of the benefits in 22 areas of life that adults derive from using public libraries. These 22 benefits were reduced by factor analysis into three major outcome types: benefits in everyday activities, cultural interests, and career. The association of these outcome types with gender, educational levels, and age is also explored.     

Täuschungshandlungen im Sport

Experimental studies on the head fake in basketball showed that participant’s responses in a pass direction identification task were delayed for incongruent compared to congruent directions of the players gaze and pass (so-called head fake effect). In these studies on the head fake effect, static pictures were presented and responses on the pass direction were given with a simple key press. The present study examines whether an increase in the response complexity affects the head fake effect and whether it can also be transferred to the presentation of dynamic stimuli. In experiment 1, participants were presented with static pictures of a basketball player who passes a ball to the left or to the right. The player’s gaze direction was either oriented in the direction of the intended pass or in the opposite direction (i.?e., a head fake). The participants were asked to respond as quickly as possible to the pass direction and to ignore the gaze direction. Participants gave responses by pressing a key (simple response) or by executing a quasirealistic defense movement (complex response). Response complexity was blocked. In experiment 2, videos replaced the static stimuli. The responses were only given with the complex, full body movement. Results show that the head fake effect is independent of response complexity and that it can also be found when presenting dynamic stimuli.