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Lärarutbildning: Utbildning. Alla minns vi dem, lärarna vi har haft. De bra och de dåliga, de slapphänta och de hårda, de engagerade och de trötta. Deras kunskap, bemötande och värderingar har på olika sätt påverkat oss i livet. För lärare är inte vilket yrke som helst. Det är förmodligen det allra viktigaste. På Linköpings universitet har vi byggt upp en ovanligt komplett miljö för lärarutbildning. Här kan du läsa lärarprogram på samtliga nivåer och fördjupa dig i dina specialämnen.

För att du ska få en så hög kvalitet som möjligt på din utbildning finns också en stark anknytning till den senaste forskningen. Läs mer om och kontakta några av våra studenter som pluggar till lärare Våra utbildningar inom området Förskollärare Lärare i fritidshem Lärare i förskoleklass och år 1-3 Lärare i år 4-6 ämneslärare i år 7-9 ämneslärare i gymnasieskolan Folkhögskollärare Yrkeslärare För dig som redan läst ett eller flera ämne på högskolenivå Kompletterande pedagogisk utbildning till ämneslärare i årskurs 7-9, distans, 90 hp Fortbildning.

Equations and what they mean. Matematik. Medan naturvetenskapen studerar entiteter i tid och rum är det inte uppenbart att samma är sant för de objekt som studeras i matematik.[7] Vidare skiljer sig metoderna för undersökning åt: naturvetenskapen tenderar att använda metoder av induktion och matematiken metoder av deduktion.[7] Av bland annat nämnda skäl väcker matematik ontologiska och kunskapsteoretiska frågor skilda från vetenskapsteorin.[7] Dessa frågor behandlas i matematikfilosofi.[7] Etymologi[redigera | redigera wikitext] Substantivet matte är i vardagligt tal slanguttryck för ordet matematik, enligt Nationalencyklopedin har slanguttrycket funnits sedan 1924.[12] De engelska motsvarigheterna är math (amerikansk engelska) och maths (brittisk engelska, sedan 1890).[13] Historia[redigera | redigera wikitext] Matematiker[redigera | redigera wikitext] Notation och terminologi[redigera | redigera wikitext] Matematiska begrepp införs med en definition som beskriver hur begreppet ska tolkas.

Kvantitet[redigera | redigera wikitext] Lay - Linear Algebra. Vi Hart: Mathemusician. Category Theory. First published Fri Dec 6, 1996; substantive revision Fri Apr 26, 2013 Category theory has come to occupy a central position in contemporary mathematics and theoretical computer science, and is also applied to mathematical physics. Roughly, it is a general mathematical theory of structures and of systems of structures. As category theory is still evolving, its functions are correspondingly developing, expanding and multiplying. At minimum, it is a powerful language, or conceptual framework, allowing us to see the universal components of a family of structures of a given kind, and how structures of different kinds are interrelated. Category theory is both an interesting object of philosophical study, and a potentially powerful formal tool for philosophical investigations of concepts such as space, system, and even truth. 1. General Definitions, Examples and Applications 1.1 Definitions α3(α2α1) = (α3α2)α1 holds.

Eilenberg & Mac Lane defined categories in 1945 for reasons of rigor. Divisibility by Seven -- Math Fun Facts. Everyone learns in grade school some simple tests for divisibility by small numbers such as 2, 3, 5, and 9. But far less well-known are some simple divisibility tests for the number 7. Here are a couple: Test #1. Take the digits of the number in reverse order, from right to left, multiplying them successively by the digits 1, 3, 2, 6, 4, 5, repeating with this sequence of multipliers as long as necessary. Add the products. Test #2. See the reference for more tests and more references.

Presentation Suggestions: Do examples as you go! The Math Behind the Fact: Here's a hint on how to prove them. The second trick mentioned here can be modified to check for divisibility by other primes. How to Cite this Page: Su, Francis E., et al. MWpP1BM.jpg (598×444) TypeLogic Home Page. 10 Awesome Online Classes You Can Take For Free. Cool, but you need iTunes for nearly everything, and that gets an 'F.' Are there really no other places to get these lessons? I was sure there are some on Academic Earth. Flagged 1. 7 of them are available via YouTube. 2. iTunes is free.

It's clunky, but who cares? Do you somehow lose geek-cred just by installing it specifically for this? 1. 2. Don't worry, we're looking out for you! While I have no personal beef with iTunes, I know that many people share your sentiments — so I actually made a concerted effort to include relevant youtube links when possible. 8 Awesome Websites to Take Free College Courses Online. The sites below offer free online college level classes to anyone willing to spend the time on them. Each differ – some have all of the materials online and some may want you to purchase (borrow?) A textbook to follow along with.

Each of them offers complete courses with only one thing missing: the credit for the coursework to put towards a matriculated degree. MIT OpenCourseware Massachusetts Institute of Technology was a pioneer in offering online college courses and they still have the most diverse and in-depth collection of classes available anywhere. Carnegie Mellon OpenLearning Carnegie Mellon, based in Pittsburgh, PA, has a variety of courses available for anyone online. Khan Acadamy Salman Khan began putting videos on YouTube to help with tutoring a cousin. Today, there are over 1000 videos on KhanAcademy, which is now a 501(c)(3) non-profit.

University of California at Berkeley Stanford University iTunesU Tufts OpenCourseware Open University LearningSpace Johns Hopkins OpenCourseware. Open Courses for Free | Open Learning Initiative. At Harvard Extension School, free and open learning is hardly a new concept. In fact, the Extension School was founded with this mission in mind: to create an affordable way for any motivated student to take courses at Harvard. We stay true to this mission today, offering several free courses and nearly 800 for-credit courses at reasonable tuition rates. Explore our series of free or low-cost courses below. In addition, you can also browse Harvard University's Digital Learning Portal, which features online learning content from across the University, both free and fee-based options. Video accessibility. If you are unable to easily access any of the videos below, you may submit a request for accommodation, and we will work with you on your request.

Abstract Algebra In these free videotaped lectures, Professor Gross presents an array of algebraic concepts. The Ancient Greek Hero American Poetry from the Mayflower through Emerson Bits China Intensive Introduction to Computer Science Terms of Use. Abstract Algebra - Free Harvard Courses. Sets, Counting, and Probability - Free Harvard Courses.

Khan Academy. Free Computers Video Lecture courses. Academic Earth | Online Courses | Academic Video Lectures. Mathematics | 18.06 Linear Algebra, Spring 2010 | Video Lectures. Top Four 'Teach yourself physics' | Explore. 1. Physics for the 21st century An online course for adult learners that explores the frontiers of physics with videos, interactive simulations, and comprehensive notes. Covers the latest research from the subatomic world to the cosmos. Produced by the Harvard-Smithsonian Center for Astrophysics. 2.

Free undergraduate level physics courses from MIT, with lecture notes, assignments and exams with solutions. 3. In these 10 minute video clips, legendary physicist Richard Feynman sits down in an armchair at his Californian home to explain the physics that underpins the world around us. 5. An impressive collection of simple and clearly explained video tutorials about a range of physics topics (as well as maths, chemistry and more) suitable for secondary school level students. 6. Comprehensive physics website started by a teacher covering forces, motion and optics, waves and electricity. Share: The folowing links are external.

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Psychology. Psychology is an academic and applied discipline that involves the scientific study of mental functions and behaviors.[1][2] Psychology has the immediate goal of understanding individuals and groups by both establishing general principles and researching specific cases,[3][4] and by many accounts it ultimately aims to benefit society.[5][6] In this field, a professional practitioner or researcher is called a psychologist and can be classified as a social, behavioral, or cognitive scientist. Psychologists attempt to understand the role of mental functions in individual and social behavior, while also exploring the physiological and biological processes that underlie cognitive functions and behaviors. While psychological knowledge is often applied to the assessment and treatment of mental health problems, it is also directed towards understanding and solving problems in many different spheres of human activity.

Etymology History Structuralism Functionalism Psychoanalysis Behaviorism Humanistic. Myers-Briggs. Linköpings universitet. Magnus Berggren, professor i organisk elektronik vid LiU, får årets Marcus Wallenberg-pris på 2 miljoner kronor för sitt pionjärarbete kring elektroniskt papper. Han får priset för sina grundläggande vetenskapliga genombrott som lett till praktiskt tillämpbara applikationer och som nu också öppnar för en helt ny marknad för skogsindustrins produkter. Läs hela artikeln Kjell O. Lejon, professor i religionsvetenskap och historisk teologi, har skrivit en bok om Bush Sr utifrån ett religionsvetenskapligt perspektiv. Läs hela artikeln Fler nyheter från LiU-Nytt. Portal:Statistics - Wiki. Statistics. Statistics is the study of the collection, organization, analysis, interpretation and presentation of data.[1] It deals with all aspects of data including the planning of data collection in terms of the design of surveys and experiments.[1] When analyzing data, it is possible to use one or both of statistics methodologies: descriptive and inferential statistics in the analysis data.[2] Scope[edit] Statistics is described as a mathematical body of science that pertains to the collection, analysis, interpretation or explanation, and presentation of data,[3] or as a branch of mathematics[4] concerned with collecting and interpreting data.

Statisticians improve data quality by developing specific experiment designs and survey samples. Statistics itself also provides tools for prediction and forecasting the use of data through statistical models. Statistical methods can summarize or describe a collection of data. History[edit] Statistical methods date back at least to the 5th century BC. Probability and Statistics Cookbook | Matthias Vallentin. The cookbook contains a succinct representation of various topics in probability theory and statistics. It provides a comprehensive reference reduced to the mathematical essence, rather than aiming for elaborate explanations. Download Last updated: January 24, 2014 Language: english The LaTeX source code is available on github and comes with a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License.

Feel encouraged to extend the cookbook by forking it and submitting pull requests. To reproduce in a different context, please contact me. The cookbook aims to be language agnostic and factors out its textual elements into a separate dictionary. It is thus possible to translate the entire cookbook without needing to change the core LaTeX source and simply providing a new dictionary file.

The current translation setup is heavily geared to Roman languages, as this was the easiest way to begin with. Descriptive statistics. Use in statistical analysis[edit] Descriptive statistics provides simple summaries about the sample and about the observations that have been made. Such summaries may be either quantitative, i.e. summary statistics, or visual, i.e. simple-to-understand graphs.

These summaries may either form the basis of the initial description of the data as part of a more extensive statistical analysis, or they may be sufficient in and of themselves for a particular investigation. For example, the shooting percentage in basketball is a descriptive statistic that summarizes the performance of a player or a team. The use of descriptive and summary statistics has an extensive history and, indeed, the simple tabulation of populations and of economic data was the first way the topic of statistics appeared.

In the business world, descriptive statistics provides a useful summary of many types of data. Univariate analysis[edit] Bivariate analysis[edit] References[edit] External links[edit] StaLin - Sektionen för statistikstuderande vid Linköpings Universitet. Blockschema09: För programmets studenter: Utbildning: Linköpings universitet. Statistics 110: Probability | Harvard Video Course. A Brilliant List of Science Books for People Who Want Their Minds Blown.

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Slumpen ännu slumpmässigare än du tror. Undrens tid är inte förbi. I själva verket sker i varje människas liv i snitt ett litet mirakel i månaden, hävdade den engelske statistikern John E Littlewood. Ionica Smeets, matematiker i Leiden. John E Littlewood, 1885–1977, mirakulös statistiker. i Leiden. Är det den här tabellen som är uppbyggd av slumptal... ...eller är det den här? I det berömda Monty Hall-problemet döljer sig en bil bakom en av de tre luckorna. I vardera av de andra två finns en get. Ni har säkert varit med om det Det omöjliga sammanträffandet. Otroligt! – Den här typen av sammanträffanden, små mirakel med en sannolikhet runt en på miljonen, är i själva verket ganska vanliga, säger matematikern Ionica Smeets vid universitetet i Leiden.

På en månad har vi då ­registrerat en miljon händelser. Brist på förståelse av sannolikhetens lagar kan få förödande konsekvenser. Något liknande hände en sjuksköterska vid Drottning Julianas barnsjukhus i Haag. Svar längst ner på sidan. – Här är tre dörrar, säger Monty Hall. Svar: Axioms. A Visual, Intuitive Guide to Imaginary Numbers. Imaginary numbers always confused me. Like understanding e, most explanations fell into one of two categories: It’s a mathematical abstraction, and the equations work out.

Deal with it.It’s used in advanced physics, trust us. Just wait until college. Gee, what a great way to encourage math in kids! Today we’ll assault this topic with our favorite tools: Focusing on relationships, not mechanical formulas.Seeing complex numbers as an upgrade to our number system, just like zero, decimals and negatives were.Using visual diagrams, not just text, to understand the idea. And our secret weapon: learning by analogy. It doesn’t make sense yet, but hang in there. Video Walkthrough: Really Understanding Negative Numbers Negative numbers aren’t easy. But what about 3-4?

Negatives were considered absurd, something that “darkened the very whole doctrines of the equations” (Francis Maseres, 1759). What happened? But let’s not be smug about the struggle: negative numbers were a huge mental shift. Uh oh. Or. Infographics & Data Visualizations - Visual.ly.