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We all encounter symmetry in our everyday lives, in both natural and man-made structures. The mathematical concepts surrounding symmetry can be a bit more difficult to grasp. This unit explains such concepts as direct and indirect symmetries, Cayley tables and groups through exercises, audio and video.
Author(s): The Open University

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Active galaxies provide a prime example of high energy processes operating in the Universe. This unit gives an overview of active galaxies, including the supermassive black holes that power the engines at their centres, and the emission processes by which we detect and study them. It also gives practice in mathematical techniques for analysing data and theoretical models.
Author(s): The Open University

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Google History
How Google evolved from 'page rank' - a mathematical algorithm. See the idea behind the Master Plan, and its 'Don't be Evil' philosophy. The question of privacy on Google is controversial - and addressed in this video. (3:15)
Author(s): No creator set

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Private Universe Project in Mathematics: Workshop 2. Are You Convinced?
Proof making is one of the key ideas in mathematics. Looking at teachers and students grappling with the same probability problem, we see how two kinds of proof—proof by cases and proof by induction—naturally grow out of the need to justify and convince others.,Englewood, New Jersey—Teachers Workshop Englewood, a town with unsatisfactory student test scores, is implementing a long-term project to improve math achievement. As part of a professional development workshop designed in part to give
Author(s): Harvard-Smithsonian Center for Astrophysics

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Smithsonian Institution-Astrophysical Observatory "All Rights Reserved"

Learning Content and Interoperability
In the era of Internet and new information and communication technologies one of the most important things is appropriate use of technologies in order to achieve desired results. In present paper, they are compared two case studies – on one hand there they are presented research results about interoperability in two open-source learning environments developed in Sofia University, Bulgaria and, on other hand, there are given results from “South West Wales Interoperability Project”, sponsore
Author(s): Aleksieva Adelina,Petrov Milen,Bontchev Boyan

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A Layered Framework for Evaluating Online Collaborative Learning Interactions
Evaluating on-line collaborative learning interactions is a complex task due to the variety of elements and factors that take place and intervene in the way a group of students comes together to collaborate in order to achieve a learning goal. The aim of this paper is to provide a better understanding of group interaction and determine how to best support the collaborative learning process. To that end, we propose a principled framework for the study and analysis of group interaction and group s
Author(s): Daradoumis Thanasis,Martinez Alejandra,Xhafa Fatos

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Never enough time - Electronic literary exercises in an Italian lower secondary school.
Not available,Unpublished ethnographic material, Université de Liège - Laboratoire d'Anthropologie de la Communication
Author(s): Magli Rossella

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Environnements interactifs d'apprentissage et démonstration en géométrie
Not available,Habilitation à diriger des recherches de l'université de Rennes I, juillet 2001.
Author(s): Py Dominique

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Un questionnaire dynamique pour le suivi et l'analyse de l'activité et des productions d'élèves e
L'argumentation des réponses fournies par l'apprenant est-elle riche de sens pour aider à 'établissement d'un diagnostic sur ses connaissances ? L'activité de simulation faite par les élèves peut-elle être un élément déstabilisateur de conceptions ? Une remédiation peut-elle s'opérer par le biais d'un scénario pédagogique? Autant de questions auxquelles nous tenterons de répondre dans cet article.
Author(s): Michelet Sandra,Luengo Vanda,Adam Jean-Michel

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Math in Society
Math in Society is a free, open textbook. This book is a survey of mathematical topics, most non-algebraic, appropriate for a college-level topics course for liberal arts majors. The text is designed so that most chapters are independent, allowing the instructor to choose a selection of topics to be covered. Emphasis is placed on the applicability of the mathematics. Core material for each topic is covered in the main text, with additional depth available through exploration exercises appropriat
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Derived copy of Regulation of Hormone Production
Shannon McDermott
By the end of this section, you will be able to: Explain how hormone production is regulated Discuss the different stimuli that control hormone levels in the body […]

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Can I Divide This Number By That Number?
Divisibility Rules presented in an easy-to-understand slideshow. (28 slides)
Mathematical divisibility rules; correlates with Glencoe Mathematics Course 1: 1-2 and Pre-Algebra: 4-1.

Author(s): No creator set

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Decimals, Fractions and Percent 2
On completion, learners will be able to add, subtract, multiply or divide decimal, fraction and percent numbers in order to solve practical problems. Learners also translate problems expressed in words to mathematical symbols. This module is part of the Certificate in Preparatory Education.
Author(s): No creator set

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6.441 Transmission of Information (MIT)
6.441 offers an introduction to the quantitative theory of information and its applications to reliable, efficient communication systems. Topics include: mathematical definition and properties of information; source coding theorem, lossless compression of data, optimal lossless coding; noisy communication channels, channel coding theorem, the source-channel separation theorem, multiple access channels, broadcast channels, Gaussian noise, and time-varying channels.
Author(s): Lizhong Zheng,Muriel Médard

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative C

6.006 Introduction to Algorithms (MIT)
This course provides an introduction to mathematical modeling of computational problems. It covers the common algorithms, algorithmic paradigms, and data structures used to solve these problems. The course emphasizes the relationship between algorithms and programming, and introduces basic performance measures and analysis techniques for these problems.
Author(s): Demaine, Erik,Rivest, Ronald,Devadas, Srinivas

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Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative C

Affording the Mortgage
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Philip Quinn,Dean Garratt

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Do households smooth their consumption?
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Dean Garratt

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UK house prices: Going through the roof?
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Dean Garratt

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Estimating a demand curve for un-priced environmental goods
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Andrew Cooke

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Probability in action: Gambling, the US Presidency and the market for car insurance
Part of a series of worksheets covering Mathematical Case Studies for Economists from Nottingham Trent University. They are downloadable in Word format with embedded links. They can be adapted, printed and/or put in a Virtual Learning Environment. A booklet giving guideline answers for the task questions is available on request from the Economics Network.
Author(s): Philip Quinn,Leighton Vaughan Williams

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