8 math talks to blow your mind Mathematics gets down to work in these talks, breathing life and logic into everyday problems. Prepare for math puzzlers both solved and unsolvable, and even some still waiting for solutions. Ron Eglash: The fractals at the heart of African designs When Ron Eglash first saw an aerial photo of an African village, he couldn’t rest until he knew — were the fractals in the layout of the village a coincidence, or were the forces of mathematics and culture colliding in unexpected ways? How big is infinity? Arthur Benjamin does “Mathemagic” A whole team of calculators is no match for Arthur Benjamin, as he does astounding mental math in the blink of an eye. Scott Rickard: The beautiful math behind the ugliest music What makes a piece of music beautiful? Margaret Wertheim: The beautiful math of coralThe intricate forms of a coral reef can only be expressed through hyperbolic geometry — and the only way humans can model it is by crocheting!
Free Mathematics Tutorials, Problems and Worksheets (with applets) Virtual Math Lab - College Algebra If you need help in college algebra, you have come to the right place. Note that you do not have to be a student at WTAMU to use any of these online tutorials. They were created as a service to anyone who needs help in these areas of math. If this is your first time using this College Algebra Online Tutorial, please read the Guide to the WTAMU College Algebra Online Tutorial Website to learn how our tutorials are set up and the disclaimer. Tutorials 2 - 13 cover the prerequisites to College Algebra. Tutorial 1: How to Succeed in a Math Class Tutorial 2: Integer Exponents Tutorial 3: Scientific Notation Tutorial 4: Radicals Tutorial 5: Rational Exponents Tutorial 6: Polynomials Tutorial 7: Factoring Polynomials Tutorial 8: Simplifying Rational Expressions Tutorial 9: Multiplying and Dividing Rational Expressions Tutorial 10: Adding and Subtracting Rational Expressions Tutorial 11: Complex Rational Expressions Tutorial 12: Complex Numbers Tutorial 13: Practice Test on Tutorials 2 - 12
Dimensions Accueil Un film pour tout public. Neuf chapitres, deux heures de maths, pour découvrir progressivement la quatrième dimension. Vertiges mathématiques garantis! Trouvez des informations supplémentaires pour chaque chapitre : voir "En détail". Cliquez sur l'image à gauche pour voir la bande-annonce (branchez vos haut-parleurs). Ce film est diffusé sous une licence Creative Commons. Maintenant avec encore plus de langues de commentaires et sous-titres : Commentaires en allemand, anglais, arabe, espagnol, français, italien, japonais et russe. Film produit par :Jos Leys (Graphiques et animations)Étienne Ghys (Scénario et mathématiques) Aurélien Alvarez (Réalisation et post-production)
The Math Forum @ Drexel University The Math Forum has a rich history as an online hub for the mathematics education community. A debt of gratitude is owed to the dedicated staff who created and maintained the top math education content and community forums that made up the Math Forum since its inception. NCTM will continue to make many of the most popular parts of the Math Forum content accessible to the mathematics education community. We hope that you will join or continue to be a member of the NCTM community to access even more high-quality resources for teaching and the learning of each and every student. Problems of the Week The Math Forum created Problems of the Week as an integrated program that features problems by standard and additional teacher support materials. Continue Your Math Education Conversations in MyNCTM! MyNCTM is an online community where NCTM members can ask questions, network and connect with each other, start and join discussions, find and upload resources, and interact with education experts.
What is Mathematics: Gödel's Theorem and Around. Incompleteness. By K. Podnieks what is mathematics, logic, mathematics, foundations, incompleteness theorem, mathematical, Gödel, Godel, book, Goedel, tutorial, textbook, methodology, philosophy, nature, theory, formal, axiom, theorem, incompleteness, online, web, free, download, teaching, learning, study, student, Podnieks, Karlis Personal page - click here. Visiting Gödel Places in Vienna, December 2012 K.Podnieks. Frege’s Puzzle from a Model-Based Point of View. K.Podnieks, J.Tabak. Mathematical Challenge (powers of 2, exponentiation, etc.)Gödel's Theorem in 15 Minutes (English, Latvian, Russian) Quote of the Day Personal page - click here
Regression analysis Regression analysis is widely used for prediction and forecasting, where its use has substantial overlap with the field of machine learning. Regression analysis is also used to understand which among the independent variables are related to the dependent variable, and to explore the forms of these relationships. In restricted circumstances, regression analysis can be used to infer causal relationships between the independent and dependent variables. However this can lead to illusions or false relationships, so caution is advisable; for example, correlation does not imply causation. The performance of regression analysis methods in practice depends on the form of the data generating process, and how it relates to the regression approach being used. Since the true form of the data-generating process is generally not known, regression analysis often depends to some extent on making assumptions about this process. History Regression models Statistical assumptions and . is .
Math Motivation Materials For Teachers, Students, and Parents - What is the Value of Algebra? Coin flipping Tossed coin. Coin flipping, coin tossing, or heads or tails is the practice of throwing a coin in the air to choose between two alternatives, sometimes to resolve a dispute between two parties. It is a form of sortition which inherently has only two possible and equally likely outcomes. History The historical origin of coin flipping is the interpretation of a chance outcome as the expression of divine will. Coin flipping as a game was known to the Romans as navia aut caput ("ship or head"), as some coins had a ship on one side and the head of the emperor on the other. In England, this game was referred to as cross and pile. The expression Head or Tail may stem from the German expression for the same game: Kopf oder Zahl ("head or number") hinting at a mispronunciation of the word "Zahl" into "Tail". Process During coin flipping you throw the coin into the air such that it rotates end-over-end several times. Fraudulent flipping Three-way Politics
Not Just Sums - Innovative Secondary Maths Resources Another Look at Prime Numbers Primes are numeric celebrities: they're used in movies, security codes, puzzles, and are even the subject of forlorn looks from university professors. But mathematicians delight in finding the first 20 billion primes, rather than giving simple examples of why primes are useful and how they relate to what we know. Somebody else can discover the "largest prime" -- today let's share intuitive insights about why primes rock: Primes are building blocks of all numbers. So what are prime numbers again? A basic tenet of math is that any number can be written as the multiplication of primes. And primes are numbers that can't be divided further, like 3, 5, 7, or 23. Well, 1 is special and isn't considered prime, since things get crazy because 1 = 1 * 1 * 1... and so on. Rewriting a number into primes is called prime decomposition, math speak for "find the factors". Well, not really. Analogy: Prime Numbers and Chemical Formulas Prime numbers are like atoms. Water = H20 = two hydrogens and one oxygen
Embrace Your Inner Statistician! You are a probability machine, a statistician, a mathematical wizard. You may not be aware of this simple fact, but its true: Every day, you engage in a series of probabilistic decision-making. You choose based on the probabilities of various outcomes taking place. This occurs whether you are changing lanes on the highway or deciding what food to eat. Consider some decisions many of you are likely to make over the next 24 hours: • You will get in a car, and most of you will wear a seat belt (25% will not);• For breakfast, some of you will have fruit and yogurt (or eggs and bacon);• Lottery tickets will be purchased• 2 million people will get on 87,000 flights on commercial airlines• Money will be saved for retirement• Homeowners will continue to have fire insurance.• Casinos in Las Vegas, Monte Carlo and Macau will be visited by 100,000 people• Several billion equity shares will be traded on the NYSE Us Humans have some problems with many of these elements. Consider the following:
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