Uniform convergence and pointwise convergence
The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences. The differences between the two types of convergence are illustrated with several examples. Some standard facts are also discussed: a uniform
Five mindset for professionals in the age of convergence 안철수 석좌교수
컨버전스 시대의 인재에게 필요한 5가지
Dr Jenny Chesters: Gender convergence in paid and unpaid work, at ANU
Dr Jenny Chesters gives this lecture: 'Gender convergence in paid and unpaid work time: Assessing the relevance of earlier approaches for explaining current trends' at The Australian National University on 12 October, 2010. The increase in dual-earner families over the last few decades raises questions about whether men are sharing the homemaker role now that women are sharing the breadwinner role. Theories of the allocation of unpaid work, such as dependency and exchange approaches, time avail
Lugosi teaches math - convergence of series
Béla Lugosi teaches advanced mathematical concepts in this video. This is part of the last lecture of his series. He begins this lecture by talking about the Weierstrauss M-Test and talking about how a series or sequence of sums converges. In his lecture he provides the steps for this test, and proofs as well. A great video for advanced math learners. (Calculus and Calculus II students).
Lugosi teaches math - convergence of series 2
In part 2 of Béla Lugosi's lecture on convergence of series, he continues to discuss integration of the limit function in these series or sequences. He then goes further into applying these into power series. This is a video for advanced math students who are well into Calculus and Calculus II.
Lugosi teaches math - convergence of series 3
Béla Lugosi teaches advanced mathematical concepts in this video. How one uses power series to solve varying kinds of problems is discussed, and Lugosi explains how this one application shows the power of power series. It also show that power series have a very important and powerful and analytical technique. A great series for any advanced mathematics student who is working in Calculus and Calculus II.
Lugosi teaches math - uniform convergance
In this video course, Béla Lugosi teaches advanced mathematical concepts. In this part he teaches the concept of uniform convergence in general, which is a difficult and subtle topic. He gives the highlights of what makes up uniform convergence and convergence. A great intro to the concept of convergence for advanced mathematics.
Lugosi teaches math - uniform convergance2
In this video, Béla Lugosi continues with his teaching of the concept of uniform convergence. Though Lugosi is lecturing, it is as though he is having a discussion with you at times during this lecture, and discusses numerous properties of uniform convergence. Lugosi's passion for advanced mathematics is evident in this video.
Lugosi teaches math - uniform convergance3
In part 3 of Uniform Convergence, Béla Lugosi teaches advanced mathematical concepts related to uniform convergence. In this video, he shares how to chart, diagram, and graph uniform convergences and functions.
MIT OpenCourseWare : linguistics and philosophy
The Department of Linguistics and Philosophy page of Massachusetts Institute of Technology's OpenCourseWare website offers a variety of freely available course materials within these two disciplines. The courses are divided into those aimed at undergraduates and those for graduates, and range from introductory surveys to more specialist topics. The quantity and type of resources available also varies considerably: some give just a course outline and perhaps a few reading suggestions, whereas oth
Information technology in forming cognitive skills
In the authors opinions, the most important role of education process is forming developed cognitive skills, such as interdisciplinary critical thinking, problem solving, decision making, but enabling role of information technology in forming cognitive skills is not estimated enough. Accomplishing the investigation of the forming cognitive skills authors discovered similarity between study modules method and work with information.
Building and Maintaining the Common Ground in Web-Based Interaction
In this paper, the main purpose is to explore how participants establish and maintain the common ground in the computer-based conferences. Previous studies assume that before the participants can reach the deeper level interaction and learning, they have to gain an adequate level of common ground (Dillenbourg, 1999; Baker et al., 1999; Veerman, 2000). Subjects were 68 pre-service teachers and 7 mentors from three universities who participated in the web-based conferencing course for eight weeks.
Facilitating collaborative knowledge construction in computer-mediated learning with structuring too
Collaborative knowledge construction in computer-mediated learning environments puts forward difficulties regarding what tasks learners work on and how learners interact with each other. For instance, learners who collaboratively construct knowledge in computer-mediated learning environments sometimes do not participate actively or engage in off-task talk. Computer-mediated learning environments can be endorsed with sociocognitive structuring tools that structure the contents to be learned and s
Cooperation scripts for learning via web-based discussion boards and videoconferencing
Computer-supported collaborative learning often means that locally distant learners discuss a task via text-based discussion boards or videoconferencing. Collaborative learning, however, is often suboptimal with respect to how learners work on the concepts that are supposed to be learned and how learners interact with each other. Collaborative learning environments may be improved by scripts that structure epistemic activities and social interactions of learners. Two studies are being reported t
Fostering collaborative knowledge construction with visualization tools
This study investigates to what extent collaborative knowledge construction can be fostered by providing students with visualization tools as structural support. Thirty-two students of Educational Psychology took part in the study. The students were subdivided into dyads and asked to solve a case problem of their learning domain under one of two conditions: 1) with content-specific visualization 2) with content-unspecific visualization. Results show that by being provided with a content-specific
Epistemic and Social Scripts in Computer-Supported Collaborative Learning
Collaborative learning in computer-supported learning environments typically means that learners work on tasks together, discussing their individual perspectives via text-based media or videoconferencing, and consequently acquire knowledge. Collaborative learning, however, is often sub-optimal with respect to how learners work on the concepts that are supposed to be learned and how learners interact with each other. One possibility to improve collaborative learning environments is to conceptuali
A Method for Creating Collaborative Mobile Learning Trails
In this paper I report results from recent trials in which students used mobile devices to collaboratively create, edit and share trails. These included 9- to 10-year-olds as well as adult diploma students, in the subject of horticulture in botanic gardens. Findings indicate that a narrow subject focus and a manageable amount of data capture are appropriate in most cases; trails are most effective when framed with structured tasks and a narrow focus. Structure can be introduced through the use o
Quand foi et culture se rencontrent. Un exemple de valorisation des sciences humaines à l'Universit
L'élargissement de la théologie vers les sciences religieuses implique un réajustement des collections des bibliothèques en sciences humaines. La Direction des bibliothèques de l'Université de Montréal a compris la nécessité de ce virage en participant, de concert avec la Faculté de théologie et les secteurs d'études classiques et études médiévales, à l'acquisition des ressources documentaires nécessaires au maintien de collections déjà bien garnies. De l'imprimé aux docum
A QUALITATIVE STUDY OF TEACHERS CERTIFIED BY THE NATIONAL BOARD FOR PROFESSIONAL TEACHING STANDARDS
The purpose of this research study was to describe the characteristics and instructional practices of teachers certified by the National Board for Professional Teaching Standards (NBPTS) in the Early Childhood/Generalist category. The problem of the study is to examine if there are common characteristics that exemplary teachers use. The study rests upon the following considerations: 1) literacy learning is important and the early childhood period is prime time for language learning; 2) young chi
Four Young Women on a Ramp Behind the Lane Home
Four young women are standing on the wooden ramp behind the Lane home in Spiceland. The ramp was used to haul carriages to the second floor of the building for repairs. The smiling young ladies are wearing hats and coats.